Appendix E-1a (i): Solid Fuel Hg Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Solid no 1 NYBlackRiverGen E00001

YES Solid no 1 NYBlackRiverGen E00001

YES Solid no 1 NYBlackRiverGen E00001

YES Yes Solid no 1 NYBlackRiverGen E00001

YES Yes Solid no 1 NYBlackRiverGen E00001

YES Yes Solid no 1 NYBlackRiverGen E00001

YES Yes Solid no 1 NYBlackRiverGen E00001

YES Yes Solid no 1 NYBlackRiverGen E00001

YES Yes Solid no 1 NYBlackRiverGen E00001

YES Solid no 2 NYBlackRiverGen E00002

YES Solid no 2 NYBlackRiverGen E00002

YES Solid no 2 NYBlackRiverGen E00002

YES Yes Solid no 2 NYBlackRiverGen E00002

YES Yes Solid no 2 NYBlackRiverGen E00002

YES Yes Solid no 2 NYBlackRiverGen E00002

YES Yes Solid no 2 NYBlackRiverGen E00002

YES Yes Solid no 2 NYBlackRiverGen E00002

YES Yes Solid no 2 NYBlackRiverGen E00002

YES Solid no 3 NYBlackRiverGen E00003

YES Solid no 3 NYBlackRiverGen E00003

YES Solid no 3 NYBlackRiverGen E00003

YES Yes Solid no 3 NYBlackRiverGen E00003

YES Yes Solid no 3 NYBlackRiverGen E00003

YES Yes Solid no 3 NYBlackRiverGen E00003

YES Yes Solid no 3 NYBlackRiverGen E00003

YES Yes Solid no 3 NYBlackRiverGen E00003

YES Yes Solid no 3 NYBlackRiverGen E00003
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

ICR Phase I PM and Metals Mercury (Hg) ET Sample #1 6/3/2008

ICR Phase I PM and Metals Mercury (Hg) ET Sample #2 6/4/2008

ICR Phase I PM and Metals Mercury (Hg) ET Sample #3 6/4/2008

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #1 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #2 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #3 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #4 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #5 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #6 8/18/2009

ICR Phase I PM and Metals (2) Mercury (Hg) ET Sample #1 6/3/2008

ICR Phase I PM and Metals (2) Mercury (Hg) ET Sample #2 6/4/2008

ICR Phase I PM and Metals (2) Mercury (Hg) ET Sample #3 6/4/2008

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #1 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #2 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #3 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #4 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #5 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #6 8/18/2009

ICR Phase I PM and Metals (3) Mercury (Hg) ET Sample #1 6/3/2008

ICR Phase I PM and Metals (3) Mercury (Hg) ET Sample #2 6/4/2008

ICR Phase I PM and Metals (3) Mercury (Hg) ET Sample #3 6/4/2008

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #1 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #2 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #3 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #4 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #5 8/18/2009

ICR Phase II - Templates Hg Mercury (Hg) ET Sample #6 8/18/2009
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

0.000000177 -15.5471161 0

7.57E-08 -16.39648768 0

1.91E-08 -17.7735775 0

1.63E-09 -20.23468582 0

0.00000017 -15.5874674 0

0.000000014 -18.08420851 0

2.53E-09 -19.79504653 0

3.54E-08 -17.15655402 0

2.72E-08 -17.42004886 0

0.000000177 -15.5471161 0

7.57E-08 -16.39648768 0

1.91E-08 -17.7735775 0

1.63E-09 -20.23468582 0

0.00000017 -15.5874674 0

0.000000014 -18.08420851 0

2.53E-09 -19.79504653 0

3.54E-08 -17.15655402 0

2.72E-08 -17.42004886 0

0.000000177 -15.5471161 0

7.57E-08 -16.39648768 0

1.91E-08 -17.7735775 0

1.63E-09 -20.23468582 0

0.00000017 -15.5874674 0

0.000000014 -18.08420851 0

2.53E-09 -19.79504653 0

3.54E-08 -17.15655402 0

2.72E-08 -17.42004886 0
Appendix E-1a (ii): Solid Fuel Hg Test Averages and Calc

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES Yes

YES

YES Yes

Number of sources with 

test data 1 YES

n 27

n-1 26

Average of natural log of 

test run values (μ) -17.55502138

Variance of natural log of 

test runs (σ2) 2.53249228

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 29542.04484

Denominator for 

calculation of flatness of z 

distribution (β2z) 402.6249984

Flatness of z distribution 

(β2z) 75.37359816

Skewness of z distribution 

(√β1z) 28.66062616
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.991744589 0.999211945 0.995446684

z-value 3.585 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 8.43092E-08

exp (2μ + σ2) 7.10804E-15

exp (σ2) - 1 11.58483201

(σ2/n) + [σ4/(2(n - 1))] 0.217132879

Square root term 5.1081E-07

Confidence Level 99% 99.9% 99.5%

UPL 6.95E-07 8.15E-07 7.29E-07

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.09E+00 -4.11E-01

SE Skewness 0.47 0.47

Skewness Test non-normal normal

Kurtosis = -5.03E-01 -8.89E-01

SE Kurtosis 0.94 0.94

Kurtosis Test normal normal

Number of test runs = 27 27
ix E-1a (ii): Solid Fuel Hg Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

FB Solid 1 NYBlackRiverGen E00001 ICR Phase II - Templates Hg

FB Solid 1 NYBlackRiverGen E00001 ICR Phase I PM and Metals

FB Solid 2 NYBlackRiverGen E00002 ICR Phase II - Templates Hg

FB Solid 2 NYBlackRiverGen E00002 ICR Phase I PM and Metals (2)

FB Solid 3 NYBlackRiverGen E00003 ICR Phase II - Templates Hg

FB Solid 3 NYBlackRiverGen E00003 ICR Phase I PM and Metals (3)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Mercury (Hg) 4.17933E-08 -16.990529 6 5 ET /Coal: Bituminous/Tire Derived Fuel (TDF)/

Mercury (Hg) 9.06E-08 -16.21681162 3 2 ET /Coal: Bituminous/Tire Derived Fuel (TDF)/

Mercury (Hg) 4.17933E-08 -16.990529 6 5 ET /Coal: Bituminous/Tire Derived Fuel (TDF)/

Mercury (Hg) 9.06E-08 -16.21681162 3 2 ET /Coal: Bituminous/Tire Derived Fuel (TDF)/

Mercury (Hg) 4.17933E-08 -16.990529 6 5 ET /Coal: Bituminous/Tire Derived Fuel (TDF)/

Mercury (Hg) 9.06E-08 -16.21681162 3 2 ET /Coal: Bituminous/Tire Derived Fuel (TDF)/
Appendix E-1a (iii): Solid Fuel Hg Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 75.373598 28.660626

6.2532E-06 -5 =f(a) 916.99602

2.47205E-05 1 -4.899 821.36279

5.16062E-05 2 -4.798 732.78822

9.0183E-05 3 -4.697 650.94029

0.000144713 4 -4.596 575.49453

0.000220614 5 -4.495 506.134

0.000324581 6 -4.394 442.54927

0.000464631 7 -4.293 384.43847

0.000650001 8 -4.192 331.50725

0.000890833 9 -4.091 283.46879

0.001197545 10 -3.99 240.04379

0.001579799 11 -3.889 200.96051

0.002044959 12 -3.788 165.95471

0.002595951 13 -3.687 134.76971

0.003228482 14 -3.586 107.15633

0.00392761 15 -3.485 82.872945

0.004663778 16 -3.384 61.685455

0.005388508 17 -3.283 43.367289

0.006030122 18 -3.182 27.699408

0.006489997 19 -3.081 14.470306

0.006640025 20 -2.98 3.4760051

0.006957981 21 -2.879 -5.479939

0.007929748 22 -2.778 -12.58644

0.009762779 23 -2.677 -18.02488

0.012675629 24 -2.576 -21.96911

0.016882525 25 -2.475 -24.58545

0.022573024 26 -2.374 -26.0327

0.029887325 27 -2.273 -26.4621

0.038888502 28 -2.172 -26.01738

0.049533665 29 -2.071 -24.83474

0.06164677 30 -1.97 -23.04285

0.074896355 31 -1.869 -20.76283

0.088781785 32 -1.768 -18.10828

0.102631508 33 -1.667 -15.18529

0.115616317 34 -1.566 -12.09238

0.126779593 35 -1.465 -8.920566

0.135085045 36 -1.364 -5.753323

0.13948063 37 -1.263 -2.666595

0.139985915 38 -1.162 0.2712013

0.146237672 39 -1.061 2.9991847

0.15885113 40 -0.96 5.4640031

0.178133611 41 -0.859 7.6198361

0.204022825 42 -0.758 9.4283944

0.236048726 43 -0.657 10.85892

0.273325101 44 -0.556 11.888186

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.314574581 45 -0.455 12.500497

0.358187644 46 -0.354 12.687688

0.402312739 47 -0.253 12.449127

0.444971281 48 -0.152 11.791712

0.484188413 49 -0.051 10.729872

0.518128399 50 0.05 9.2855666

0.545222673 51 0.151 7.4882888

0.564279027 52 0.252 5.3750614

0.57456209 53 0.353 2.9904385

0.575838071 54 0.454 0.3865055

0.583295868 55 0.555 -2.377121

0.598740403 56 0.656 -5.233292

0.621019007 57 0.757 -8.10733

0.64866896 58 0.858 -10.91702

0.680030978 59 0.959 -13.57263

0.713369895 60 1.06 -15.97688

0.746991877 61 1.161 -18.02497

0.779348629 62 1.262 -19.60456

0.809121108 63 1.363 -20.59578

0.835277851 64 1.464 -20.87125

0.857105878 65 1.565 -20.29602

0.874214885 66 1.666 -18.72764

0.886517767 67 1.767 -16.01612

0.894192278 68 1.868 -12.00393

0.897629625 69 1.969 -6.526023

0.897883127 70 2.07 0.5901877

0.901185572 71 2.171 9.5248185

0.906855248 72 2.272 20.465517

0.914218976 73 2.373 33.607463

0.922650604 74 2.474 49.153365

0.931598607 75 2.575 67.313465

0.940602864 76 2.676 88.305535

0.949301624 77 2.777 112.35488

0.957430294 78 2.878 139.69433

0.96481399 79 2.979 170.56426

0.971355898 80 3.08 205.21256

0.977023344 81 3.181 243.89466

0.981833175 82 3.282 286.87352

0.985837739 83 3.383 334.41964

0.989112324 84 3.484 386.81103

0.991744589 85 3.585 444.33324

0.993826209 86 3.686 507.27937

0.995446684 87 3.787 575.95002

0.996689137 88 3.888 650.65335

0.997627798 89 3.989 731.70503

0.998326829 90 4.09 819.42828

0.998840147 91 4.191 914.15383

0.999211945 92 4.292 1016.22

0.999477632 93 4.393 1125.9725

0.999664989 94 4.494 1243.7647

0.999795396 95 4.595 1369.9575

0.999885002 96 4.696 1504.9193
0.999945795 97 4.797 1649.0259

0.999986525 98 4.898 1802.661 1 99 4.999 1966.2154
distribution of Z

Normal 

distribution

1.48672E-06 0.001363316

2.45094E-06 0.002013111

3.9995E-06 0.002930788

6.46025E-06 0.004205235

1.03291E-05 0.005944334

1.63472E-05 0.008273898

2.56093E-05 0.01133336

3.97118E-05 0.015266731

6.09553E-05 0.020207108

9.26132E-05 0.026252948

0.000139285 0.033434494

0.000207351 0.041669301

0.000305546 0.050706783

0.000445674 0.060063341

0.000643469 0.068951787

0.000919619 0.07621154

0.001300942 0.080249209

0.001821704 0.079002357

0.002525035 0.069941963

0.003464389 0.050130767

0.004704958 0.016354456

0.006324913 -0.034660135

0.008416337 -0.105931724

0.011085658 -0.199817668

0.014453386 -0.317528061

0.018652949 -0.458591211

0.023828414 -0.620317859

0.030130931 -0.797327555

0.03771375 -0.981212892

0.046725789 -1.160422838

0.057303789 -1.320442334

0.069563239 -1.444329397

0.083588399 -1.513642424

0.099421884 -1.509749985

0.117054396 -1.415466236

0.136415346 -1.216902076

0.157365126 -0.905372321

0.179689839 -0.479160102

0.203099244 0.055080776

0.227228529 0.681500328

0.251644341 1.374985467

0.275855243 2.101971736

0.299326439 2.822167705

0.321498297 3.491124252

0.341807853 4.06347531



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 4.496581141

0.37471238 4.754233934

0.386376486 4.810050114

0.394360216 4.650182111

0.398423793 4.275036128

0.398443914 3.699777485

0.394419966 2.953530627

0.386474058 2.077321786

0.374844865 1.120950501

0.359875719 0.139093957

0.34199778 -0.812970007

0.32170943 -1.683599502

0.299553264 -2.428577249

0.276092166 -3.014104827

0.25188591 -3.418754803

0.227469632 -3.634255421

0.203335281 -3.665112084

0.17991684 -3.52719012

0.157579839 -3.24548014

0.136615273 -2.851330902

0.117237788 -2.379460173

0.099587708 -1.865042545

0.083736272 -1.341129852

0.069693339 -0.83659388

0.05741676 -0.374703073

0.046822635 0.027634145

0.037795734 0.359997509

0.030199481 0.618048003

0.023885038 0.802715529

0.018699163 0.919126763

0.014490659 0.975416475

0.011115369 0.981548608

0.008439746 0.948246675

0.006343145 0.886101445

0.004718997 0.804892209

0.003475077 0.713129529

0.002533081 0.617804872

0.001827693 0.524316853

0.001305351 0.436535129

0.000922829 0.356960458

0.00064578 0.286941702

0.00044732 0.226916161

0.000306705 0.176646955

0.000208159 0.135439055

0.000139842 0.102322923

9.29928E-05 0.076200927

6.12113E-05 0.055956528

3.98826E-05 0.040529489

2.5722E-05 0.028962289

1.64209E-05 0.020423717

1.03767E-05 0.01421559

6.49066E-06 0.009767917
4.01874E-06 0.006627001

2.46298E-06 0.004439909

1.49417E-06 0.002937862
Absolute values

0.001363316 6.88475E-05

0.002013111 0.000203324

0.002930788 0.00029601

0.004205235 0.000424729

0.005944334 0.000600378

0.008273898 0.000835664

0.01133336 0.001144669

0.015266731 0.00154194

0.020207108 0.002040918

0.026252948 0.002651548

0.033434494 0.003376884

0.041669301 0.004208599

0.050706783 0.005121385

0.060063341 0.006066397

0.068951787 0.006964131

0.07621154 0.007697366

0.080249209 0.00810517

0.079002357 0.007979238

0.069941963 0.007064138

0.050130767 0.005063207

0.016354456 0.0016518

0.034660135 0.003500674

0.105931724 0.010699104

0.199817668 0.020181584

0.317528061 0.032070334

0.458591211 0.046317712

0.620317859 0.062652104

0.797327555 0.080530083

0.981212892 0.099102502

1.160422838 0.117202707

1.320442334 0.133364676

1.444329397 0.145877269

1.513642424 0.152877885

1.509749985 0.152484748

1.415466236 0.14296209

1.216902076 0.12290711

0.905372321 0.091442604

0.479160102 0.04839517

0.055080776 0.005563158

0.681500328 0.068831533

1.374985467 0.138873532

2.101971736 0.212299145

2.822167705 0.285038938

3.491124252 0.352603549

4.06347531 0.410411006



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
4.496581141 0.454154695

4.754233934 0.480177627

4.810050114 0.485815062

4.650182111 0.469668393

4.275036128 0.431778649

3.699777485 0.373677526

2.953530627 0.298306593

2.077321786 0.2098095

1.120950501 0.113216001

0.139093957 0.01404849

0.812970007 0.082109971

1.683599502 0.17004355

2.428577249 0.245286302

3.014104827 0.304424588

3.418754803 0.345294235

3.634255421 0.367059797

3.665112084 0.37017632

3.52719012 0.356246202

3.24548014 0.327793494

2.851330902 0.287984421

2.379460173 0.240325478

1.865042545 0.188369297

1.341129852 0.135454115

0.83659388 0.084495982

0.374703073 0.03784501

0.027634145 0.002791049

0.359997509 0.036359748

0.618048003 0.062422848

0.802715529 0.081074268

0.919126763 0.092831803

0.975416475 0.098517064

0.981548608 0.099136409

0.948246675 0.095772914

0.886101445 0.089496246

0.804892209 0.081294113

0.713129529 0.072026082

0.617804872 0.062398292

0.524316853 0.052956002

0.436535129 0.044090048

0.356960458 0.036053006

0.286941702 0.028981112

0.226916161 0.022918532

0.176646955 0.017841342

0.135439055 0.013679345

0.102322923 0.010334615

0.076200927 0.007696294

0.055956528 0.005651609

0.040529489 0.004093478

0.028962289 0.002925191

0.020423717 0.002062795

0.01421559 0.001435775

0.009767917 0.00098656
0.006627001 0.000669327

0.004439909 0.000448431

0.002937862 0.000148362
Cumulative normalization

6.88475E-05 6.2532E-06

0.000272172 2.47205E-05

0.000568181 5.16062E-05

0.00099291 9.0183E-05

0.001593288 0.000144713

0.002428951 0.000220614

0.003573621 0.000324581

0.005115561 0.000464631

0.007156478 0.000650001

0.009808026 0.000890833

0.01318491 0.001197545

0.017393509 0.001579799

0.022514895 0.002044959

0.028581292 0.002595951

0.035545423 0.003228482

0.043242788 0.00392761

0.051347958 0.004663778

0.059327196 0.005388508

0.066391335 0.006030122

0.071454542 0.006489997

0.073106342 0.006640025

0.076607016 0.006957981

0.08730612 0.007929748

0.107487704 0.009762779

0.139558038 0.012675629

0.185875751 0.016882525

0.248527855 0.022573024

0.329057938 0.029887325

0.42816044 0.038888502

0.545363146 0.049533665

0.678727822 0.06164677

0.824605091 0.074896355

0.977482976 0.088781785

1.129967724 0.102631508

1.272929814 0.115616317

1.395836924 0.126779593

1.487279528 0.135085045

1.535674699 0.13948063

1.541237857 0.139985915

1.61006939 0.146237672

1.748942922 0.15885113

1.961242068 0.178133611

2.246281006 0.204022825

2.598884555 0.236048726

3.009295562 0.273325101

2 ( ) ( )

i

f x f b



  



 
3.463450257 0.314574581

3.943627884 0.358187644

4.429442946 0.402312739

4.899111339 0.444971281

5.330889988 0.484188413

5.704567514 0.518128399

6.002874107 0.545222673

6.212683608 0.564279027

6.325899608 0.57456209

6.339948098 0.575838071

6.422058069 0.583295868

6.592101618 0.598740403

6.837387921 0.621019007

7.141812508 0.64866896

7.487106743 0.680030978

7.854166541 0.713369895

8.224342861 0.746991877

8.580589063 0.779348629

8.908382557 0.809121108

9.196366979 0.835277851

9.436692456 0.857105878

9.625061753 0.874214885

9.760515868 0.886517767

9.84501185 0.894192278

9.88285686 0.897629625

9.885647909 0.897883127

9.922007658 0.901185572

9.984430506 0.906855248

10.06550477 0.914218976

10.15833658 0.922650604

10.25685364 0.931598607

10.35599005 0.940602864

10.45176296 0.949301624

10.54125921 0.957430294

10.62255332 0.96481399

10.69457941 0.971355898

10.7569777 0.977023344

10.8099337 0.981833175

10.85402375 0.985837739

10.89007675 0.989112324

10.91905787 0.991744589

10.9419764 0.993826209

10.95981774 0.995446684

10.97349709 0.996689137

10.9838317 0.997627798

10.99152799 0.998326829

10.9971796 0.998840147

11.00127308 0.999211945

11.00419827 0.999477632

11.00626107 0.999664989

11.00769684 0.999795396

11.0086834 0.999885002
11.00935273 0.999945795

11.00980116 0.999986525

11.00994952 1

526.2010616
Appendix E-1b (i): Solid Fuel HCl Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Solid no 1 ARPotlatchForestWarren Wellons Boiler

YES Solid no 1 ARPotlatchForestWarren Wellons Boiler

YES Solid no 1 ARPotlatchForestWarren Wellons Boiler

YES Yes Solid no 1 ARPotlatchForestWarren Wellons Boiler

YES Yes Solid no 1 ARPotlatchForestWarren Wellons Boiler

YES Yes Solid no 1 ARPotlatchForestWarren Wellons Boiler
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

ICR Phase I Inorganic HAP Hydrogen Chloride (HCl) ET Sample #1 8/8/2006

ICR Phase I Inorganic HAP Hydrogen Chloride (HCl) ET Sample #2 8/8/2006

ICR Phase I Inorganic HAP Hydrogen Chloride (HCl) ET Sample #3 8/8/2006

ICR Phase II - ERT ERT Hydrogen Chloride (HCl) ET 1 9/8/2009

ICR Phase II - ERT ERT Hydrogen Chloride (HCl) ET 2 9/8/2009

ICR Phase II - ERT ERT Hydrogen Chloride (HCl) ET 3 9/8/2009
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

0.0008 -7.13089883 0

0.0021 -6.165817934 0

0.0018 -6.319968614 0

BDL 0.0000266 -10.53459934 1

BDL 0.0000241 -10.63329872 1

BDL 0.0000239 -10.6416321 1
Appendix E-1b (ii): Solid Fuel HCl Test Avera

In top 

12%?

Min Test 

Avg?

YES Yes

YES

Number of sources with 

test data 1

n 6

n-1 5

Average of natural log of 

test run values (μ) -8.571035923

Variance of natural log of 

test runs (σ2) 5.064450021

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 635850432.3

Denominator for 

calculation of flatness of z 

distribution (β2z) 74223.60347

Flatness of z distribution 

(β2z) 8568.687719

Skewness of z distribution 

(√β1z) 1160.673585
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.991977309 0.999201479 0.995511862

z-value 3.585 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.002384392

exp (2μ + σ2) 5.68533E-06

exp (σ2) - 1 157.2933602

(σ2/n) + [σ4/(2(n - 1))] 3.408940406

Square root term 0.053452982

Confidence Level 99% 99.9% 99.5%

UPL 6.63E-02 7.89E-02 6.99E-02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 6.54E-01 8.13E-02

SE Skewness 1.00 1.00

Skewness Test normal normal

Kurtosis = -1.94E+00 -3.12E+00

SE Kurtosis 2.00 2.00

Kurtosis Test normal normal

Number of test runs = 6 6
ndix E-1b (ii): Solid Fuel HCl Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Dutch Oven/Pile Burner Solid 1 ARPotlatchForestWarrenWellons Boiler ICR Phase II - ERT ERT

Dutch Oven/Pile Burner Solid 1 ARPotlatchForestWarrenWellons Boiler ICR Phase I Inorganic HAP

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Hydrogen Chloride (HCl) 2.48667E-05 -10.60198234 3 2 ET Hog Fuel

Hydrogen Chloride (HCl) 0.001566667 -6.458805059 3 2 ET /Hog Fuel/
Appendix E-1b (iii): Solid Fuel HCl Calculation of "z" Distribution (Recommended Option)

∆z z

VLOOKUP 0.101 8568.6877 1160.6736

1.08129E-05 -5 =f(a) 149321.93

4.31297E-05 1 -4.899 135355.42

9.07925E-05 2 -4.798 122335.85

0.000160157 3 -4.697 110221.61

0.000259742 4 -4.596 98972.01

0.000400748 5 -4.495 88547.236

0.000597601 6 -4.394 78908.37

0.000868461 7 -4.293 70017.383

0.001235642 8 -4.192 61837.139

0.001725808 9 -4.091 54331.393

0.002369823 10 -3.99 47464.79

0.003202071 11 -3.889 41202.868

0.004259064 12 -3.788 35512.057

0.005577122 13 -3.687 30359.675

0.00718894 14 -3.586 25713.935

0.009118921 15 -3.485 21543.94

0.011377201 16 -3.384 17819.683

0.013952493 17 -3.283 14512.05

0.016804013 18 -3.182 11592.819

0.019853018 19 -3.081 9034.6576

0.022974742 20 -2.98 6811.125

0.025991744 21 -2.879 4896.6725

0.028669954 22 -2.778 3266.6424

0.030718804 23 -2.677 1897.2683

0.031796842 24 -2.576 765.67522

0.032069618 25 -2.475 -150.1204

0.034091885 26 -2.374 -871.2109

0.038253353 27 -2.273 -1417.797

0.044900015 28 -2.172 -1809.189

0.054293897 29 -2.071 -2063.804

0.066570045 30 -1.97 -2199.17

0.081694468 31 -1.869 -2231.922

0.099427577 32 -1.768 -2177.805

0.119298109 33 -1.667 -2051.67

0.140592426 34 -1.566 -1867.481

0.16236341 35 -1.465 -1638.306

0.183461792 36 -1.364 -1376.324

0.20259085 37 -1.263 -1092.824

0.218382966 38 -1.162 -798.2007

0.229493922 39 -1.061 -501.9595

0.234708297 40 -0.96 -212.7136

0.236369392 41 -0.859 61.814951

0.245548349 42 -0.758 314.79536

0.262469276 43 -0.657 540.28831

0.286883984 44 -0.556 733.24578

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.318053241 45 -0.455 889.51112

0.354767756 46 -0.354 1005.819

0.395409478 47 -0.253 1079.7955

0.438049706 48 -0.152 1109.9579

0.480576517 49 -0.051 1095.7151

0.520840759 50 0.05 1037.367

0.556807694 51 0.151 936.10512

0.586700554 52 0.252 794.01225

0.609123055 53 0.353 614.06251

0.623150036 54 0.454 400.12136

0.62837872 55 0.555 156.94563

0.631820248 56 0.656 -109.8165

0.643306469 57 0.757 -393.6255

0.661784797 58 0.858 -687.0505

0.685874598 59 0.959 -981.7693

0.713984361 60 1.06 -1268.568

0.744435484 61 1.161 -1537.343

0.775581506 62 1.262 -1777.096

0.805913045 63 1.363 -1975.941

0.834141028 64 1.464 -2121.098

0.859253671 65 1.565 -2198.897

0.880545649 66 1.666 -2194.777

0.897620687 67 1.767 -2093.284

0.910371091 68 1.868 -1878.074

0.918939346 69 1.969 -1531.912

0.923667768 70 2.07 -1036.67

0.925042301 71 2.171 -373.3297

0.926448556 72 2.272 478.01827

0.930027473 73 2.373 1538.1752

0.935180346 74 2.474 2828.8336

0.941352625 75 2.575 4372.5771

0.948058208 76 2.676 6192.8811

0.954893627 77 2.777 8314.1119

0.961543273 78 2.878 10761.527

0.967777321 79 2.979 13561.277

0.973444283 80 3.08 16740.401

0.978460064 81 3.181 20326.831

0.982795287 82 3.282 24349.391

0.986462274 83 3.383 28837.795

0.9895028 84 3.484 33822.649

0.991977309 85 3.585 39335.451

0.993955991 86 3.686 45408.589

0.995511862 87 3.787 52075.343

0.996715734 88 3.888 59369.884

0.9976329 89 3.989 67327.275

0.998321216 90 4.09 75983.471

0.998830294 91 4.191 85375.316

0.999201479 92 4.292 95540.547

0.999468378 93 4.393 106517.79

0.999657688 94 4.494 118346.57

0.999790174 95 4.595 131067.3

0.999881679 96 4.696 144721.27
0.999944061 97 4.797 159350.68

0.999986048 98 4.898 174998.61 1 99 4.999 191709.05
distribution of Z

Normal 

distribution

1.48672E-06 0.221999829

2.45094E-06 0.331747987

3.9995E-06 0.489282547

6.46025E-06 0.712058803

1.03291E-05 1.022290631

1.63472E-05 1.447503574

2.56093E-05 2.020785011

3.97118E-05 2.780513971

6.09553E-05 3.769298431

9.26132E-05 5.031803379

0.000139285 6.611132171

0.000207351 8.543443278

0.000305546 10.85056343

0.000445674 13.53051485

0.000643469 16.54612292

0.000919619 19.81221758

0.001300942 23.18237684

0.001821704 26.43665823

0.002525035 29.27226922

0.003464389 31.29956724

0.004704958 32.04605387

0.006324913 30.97102644

0.008416337 27.49316422

0.011085658 21.03246802

0.014453386 11.06659987

0.018652949 -2.800188302

0.023828414 -20.75957468

0.030130931 -42.71955084

0.03771375 -68.23130137

0.046725789 -96.43289008

0.057303789 -126.0207954

0.069563239 -155.2597544

0.083588399 -182.0392205

0.099421884 -203.9809333

0.117054396 -218.5968091

0.136415346 -223.4900206

0.157365126 -216.5854267

0.179689839 -196.3693409

0.203099244 -162.1139566

0.227228529 -114.059509

0.251644341 -53.528163

0.275855243 17.05197837

0.299326439 94.22657369

0.321498297 173.7017699

0.341807853 250.6291652



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 319.9679933

0.37471238 376.8928325

0.386376486 417.2075806

0.394360216 437.7232431

0.398423793 436.5589491

0.398443914 413.3325606

0.394419966 369.2185501

0.386474058 306.8651374

0.374844865 230.1781768

0.359875719 143.9939612

0.34199778 53.67505859

0.32170943 -35.32900001

0.299553264 -117.9118

0.276092166 -189.6892586

0.25188591 -247.2938473

0.227469632 -288.5607587

0.203335281 -312.595981

0.17991684 -319.7294739

0.157579839 -311.3684

0.136615273 -289.7743462

0.117237788 -257.7938223

0.099587708 -218.572788

0.083736272 -175.2837952

0.069693339 -130.8892636

0.05741676 -87.95741637

0.046822635 -48.53961378

0.037795734 -14.11027052

0.030199481 14.43590374

0.023885038 36.73937353

0.018699163 52.89681879

0.014490659 63.36152466

0.011115369 68.83615811

0.008439746 70.16899457

0.006343145 68.26193159

0.004718997 63.99562269

0.003475077 58.17418795

0.002533081 51.48950421

0.001827693 44.50322161

0.001305351 37.64345498

0.000922829 31.21252392

0.00064578 25.40206372

0.00044732 20.31216594

0.000306705 15.97178637

0.000208159 12.35834867

0.000139842 9.415164944

9.29928E-05 7.065915393

6.12113E-05 5.225932577

3.98826E-05 3.810405002

2.5722E-05 2.739853052

1.64209E-05 1.943355506

1.03767E-05 1.360041416

6.49066E-06 0.939336358
4.01874E-06 0.640388371

2.46298E-06 0.431017236

1.49417E-06 0.286446101
Absolute values

0.221999829 0.011210991

0.331747987 0.033506547

0.489282547 0.049417537

0.712058803 0.071917939

1.022290631 0.103251354

1.447503574 0.146197861

2.020785011 0.204099286

2.780513971 0.280831911

3.769298431 0.380699142

5.031803379 0.508212141

6.611132171 0.667724349

8.543443278 0.862887771

10.85056343 1.095906907

13.53051485 1.366581999

16.54612292 1.671158415

19.81221758 2.001033975

23.18237684 2.341420061

26.43665823 2.670102482

29.27226922 2.956499191

31.29956724 3.161256291

32.04605387 3.23665144

30.97102644 3.12807367

27.49316422 2.776809586

21.03246802 2.12427927

11.06659987 1.117726587

2.800188302 0.282819019

20.75957468 2.096717042

42.71955084 4.314674635

68.23130137 6.891361439

96.43289008 9.739721898

126.0207954 12.72810033

155.2597544 15.68123519

182.0392205 18.38596128

203.9809333 20.60207426

218.5968091 22.07827772

223.4900206 22.57249208

216.5854267 21.8751281

196.3693409 19.83330343

162.1139566 16.37350962

114.059509 11.52001041

53.528163 5.406344463

17.05197837 1.722249815

94.22657369 9.516883942

173.7017699 17.54387876

250.6291652 25.31354568



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
319.9679933 32.31676733

376.8928325 38.06617608

417.2075806 42.13796564

437.7232431 44.21004756

436.5589491 44.09245386

413.3325606 41.74658862

369.2185501 37.29107356

306.8651374 30.99337888

230.1781768 23.24799586

143.9939612 14.54339008

53.67505859 5.421180918

35.32900001 3.568229001

117.9118 11.9090918

189.6892586 19.15861512

247.2938473 24.97667858

288.5607587 29.14463662

312.595981 31.57219408

319.7294739 32.29267686

311.3684 31.4482084

289.7743462 29.26720897

257.7938223 26.03717606

218.572788 22.07585159

175.2837952 17.70366332

130.8892636 13.21981562

87.95741637 8.883699053

48.53961378 4.902500992

14.11027052 1.425137322

14.43590374 1.458026278

36.73937353 3.710676726

52.89681879 5.342578698

63.36152466 6.399513991

68.83615811 6.952451969

70.16899457 7.087068451

68.26193159 6.894455091

63.99562269 6.463557892

58.17418795 5.875592983

51.48950421 5.200439925

44.50322161 4.494825382

37.64345498 3.801988953

31.21252392 3.152464916

25.40206372 2.565608436

20.31216594 2.05152876

15.97178637 1.613150423

12.35834867 1.248193216

9.415164944 0.950931659

7.065915393 0.713657455

5.225932577 0.52781919

3.810405002 0.384850905

2.739853052 0.276725158

1.943355506 0.196278906

1.360041416 0.137364183

0.939336358 0.094872972
0.640388371 0.064679226

0.431017236 0.043532741

0.286446101 0.014465528
Cumulative normalization

0.011210991 1.08129E-05

0.044717538 4.31297E-05

0.094135075 9.07925E-05

0.166053014 0.000160157

0.269304368 0.000259742

0.415502229 0.000400748

0.619601515 0.000597601

0.900433426 0.000868461

1.281132568 0.001235642

1.789344709 0.001725808

2.457069058 0.002369823

3.31995683 0.003202071

4.415863736 0.004259064

5.782445736 0.005577122

7.453604151 0.00718894

9.454638126 0.009118921

11.79605819 0.011377201

14.46616067 0.013952493

17.42265986 0.016804013

20.58391615 0.019853018

23.82056759 0.022974742

26.94864126 0.025991744

29.72545085 0.028669954

31.84973012 0.030718804

32.96745671 0.031796842

33.25027572 0.032069618

35.34699277 0.034091885

39.6616674 0.038253353

46.55302884 0.044900015

56.29275074 0.054293897

69.02085107 0.066570045

84.70208626 0.081694468

103.0880475 0.099427577

123.6901218 0.119298109

145.7683995 0.140592426

168.3408916 0.16236341

190.2160197 0.183461792

210.0493231 0.20259085

226.4228327 0.218382966

237.9428431 0.229493922

243.3491876 0.234708297

245.0714374 0.236369392

254.5883214 0.245548349

272.1322001 0.262469276

297.4457458 0.286883984

2 ( ) ( )

i

f x f b



  



 
329.7625131 0.318053241

367.8286892 0.354767756

409.9666549 0.395409478

454.1767024 0.438049706

498.2691563 0.480576517

540.0157449 0.520840759

577.3068185 0.556807694

608.3001973 0.586700554

631.5481932 0.609123055

646.0915833 0.623150036

651.5127642 0.62837872

655.0809932 0.631820248

666.990085 0.643306469

686.1487001 0.661784797

711.1253787 0.685874598

740.2700153 0.713984361

771.8422094 0.744435484

804.1348863 0.775581506

835.5830947 0.805913045

864.8503036 0.834141028

890.8874797 0.859253671

912.9633313 0.880545649

930.6669946 0.897620687

943.8868102 0.910371091

952.7705093 0.918939346

957.6730102 0.923667768

959.0981476 0.925042301

960.5561738 0.926448556

964.2668506 0.930027473

969.6094293 0.935180346

976.0089433 0.941352625

982.9613952 0.948058208

990.0484637 0.954893627

996.9429188 0.961543273

1003.406477 0.967777321

1009.28207 0.973444283

1014.48251 0.978460064

1018.977335 0.982795287

1022.779324 0.986462274

1025.931789 0.9895028

1028.497397 0.991977309

1030.548926 0.993955991

1032.162076 0.995511862

1033.41027 0.996715734

1034.361201 0.9976329

1035.074859 0.998321216

1035.602678 0.998830294

1035.987529 0.999201479

1036.264254 0.999468378

1036.460533 0.999657688

1036.597897 0.999790174

1036.69277 0.999881679
1036.757449 0.999944061

1036.800982 0.999986048

1036.815448 1

50787.02759
Appendix E-2a (i): Biomass Dutch Oven/Pile Burner CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Yes Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Yes Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond
UnitID Data Source Source Tab Pollutant

Data 

Type

Hog Fuel Boiler EU1 ICR Phase I Organic HAP and CO CO ET

Hog Fuel Boiler EU1 ICR Phase I Organic HAP and CO CO ET

Hog Fuel Boiler EU1 ICR Phase I Organic HAP and CO CO ET

Hog Fuel Boiler EU1 ICR Phase I Organic HAP and CO (2) CO ET

Hog Fuel Boiler EU1 ICR Phase I Organic HAP and CO (2) CO ET

Hog Fuel Boiler EU1 ICR Phase I Organic HAP and CO (2) CO ET

Hog Fuel Boiler EU1 ICR Phase II - Templates CO CO ET

Hog Fuel Boiler EU1 ICR Phase II - Templates CO CO ET

Hog Fuel Boiler EU1 ICR Phase II - Templates CO CO ET
Run Number Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

Sample #1 11/10/2004 145.8132099 4.982326418 0

Sample #2 11/10/2004 143.309119 4.965003969 0

Sample #3 11/10/2004 136.2876041 4.914767389 0

Sample #1 9/18/1996 162.890689 5.093079357 0

Sample #2 9/18/1996 161.3162575 5.08336677 0

Sample #3 9/18/1996 144.5503205 4.973627685 0

Sample #1 8/12/2009 154.5471533 5.040499249 0

Sample #2 8/13/2009 309.7505852 5.73576741 0

Sample #3 8/13/2009 308.553842 5.731896357 0
Appendix E-2a (ii): Biomass Dutch Oven/Pile 

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

Number of sources with 

test data 1

n 9

n-1 8

Average of natural log of 

test run values (μ) 5.168926067

Variance of natural log of 

test runs (σ2) 0.10586912

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 4.982408361

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.037414836

Flatness of z distribution 

(β2z) 135.1666514

Skewness of z distribution 

(√β1z) 0.600363722
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990820196 0.999276638 0.996012025

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 185.278598

exp (2μ + σ2) 34328.15886

exp (σ2) - 1 0.111676371

(σ2/n) + [σ4/(2(n - 1))] 0.012463752

Square root term 123.9017824

Confidence Level 99% 99.9% 99.5%

UPL 3.29E+02 3.63E+02 3.42E+02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.56E+00 1.49E+00

SE Skewness 0.82 0.82

Skewness Test normal normal

Kurtosis = 6.26E-01 5.10E-01

SE Kurtosis 1.63 1.63

Kurtosis Test normal normal

Number of test runs = 9 9
ndix E-2a (ii): Biomass Dutch Oven/Pile Burner CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Dutch Oven/Pile Burner Wet Biomass 1 WAWeyerhaeuser_Raymond Hog Fuel Boiler EU1 ICR Phase I Organic HAP and CO

Dutch Oven/Pile Burner Wet Biomass 1 WAWeyerhaeuser_Raymond Hog Fuel Boiler EU1 ICR Phase I Organic HAP and CO (2)

Dutch Oven/Pile Burner Wet Biomass 1 WAWeyerhaeuser_Raymond Hog Fuel Boiler EU1 ICR Phase II - Templates CO

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 141.803311 4.954440964 3 2 ET /Hog Fuel/

CO 156.2524223 5.051472791 3 2 ET /Hog Fuel/

CO 257.6171935 5.551474737 3 2 ET Hog Fuel
Appendix E-2a (iii): Biomass Dutch Oven/Pile Burner CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 135.16665 0.6003637

1.26661E-05 -5 =f(a) 2622.3125

5.06686E-05 1 -4.899 2386.2728

0.00010695 2 -4.798 2165.7091

0.000189223 3 -4.697 1959.9617

0.000307909 4 -4.596 1768.3848

0.000476835 5 -4.495 1590.3463

0.000713994 6 -4.394 1425.2278

0.001042325 7 -4.293 1272.4248

0.001490416 8 -4.192 1131.3463

0.002093041 9 -4.091 1001.4154

0.002891341 10 -3.99 882.06863

0.003932478 11 -3.889 772.75644

0.005268503 12 -3.788 672.94302

0.006954199 13 -3.687 582.10628

0.009043638 14 -3.586 499.7379

0.011585239 15 -3.485 425.34331

0.014615194 16 -3.384 358.4417

0.018149286 17 -3.283 298.56601

0.022173296 18 -3.182 245.26292

0.026632478 19 -3.081 198.09289

0.031420881 20 -2.98 156.6301

0.036371576 21 -2.879 120.46251

0.041249196 22 -2.778 89.191826

0.045746362 23 -2.677 62.433503

0.049485704 24 -2.576 39.816752

0.052029057 25 -2.475 20.984538

0.052895111 26 -2.374 5.5935779

0.054204041 27 -2.273 -6.685657

0.058166283 28 -2.172 -16.16894

0.06519738 29 -2.071 -23.1583

0.075601386 30 -1.97 -27.942

0.089520562 31 -1.869 -30.79456

0.106888166 32 -1.768 -31.97674

0.127389763 33 -1.667 -31.73555

0.150438699 34 -1.566 -30.30424

0.175170932 35 -1.465 -27.90232

0.200463311 36 -1.364 -24.73554

0.224977508 37 -1.263 -20.9959

0.247229426 38 -1.162 -16.86162

0.265681108 39 -1.061 -12.49722

0.278849324 40 -0.96 -8.053414

0.285422493 41 -0.859 -3.667193

0.286469284 42 -0.758 0.5382141

0.295772294 43 -0.657 4.4533322

0.313501013 44 -0.556 7.9824381

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.339313158 45 -0.455 11.043563

0.372349297 46 -0.354 13.56849

0.411269881 47 -0.253 15.502756

0.454333272 48 -0.152 16.805653

0.499509087 49 -0.051 17.450223

0.54461739 50 0.05 17.423265

0.587481449 51 0.151 16.725328

0.626080287 52 0.252 15.370717

0.658687255 53 0.353 13.387489

0.683982407 54 0.454 10.817453

0.701129284 55 0.555 7.7161736

0.709810531 56 0.656 4.1529681

0.710221041 57 0.757 0.2109066

0.717420556 58 0.858 -4.013187

0.731182962 59 0.959 -8.408736

0.750177728 60 1.06 -12.85141

0.772906703 61 1.161 -17.20313

0.797821462 62 1.262 -21.31205

0.823432011 63 1.363 -25.01258

0.848398499 64 1.464 -28.12538

0.871600191 65 1.565 -30.45736

0.892178768 66 1.666 -31.80167

0.90955585 67 1.767 -31.93769

0.923427024 68 1.868 -30.63107

0.933736525 69 1.969 -27.63371

0.940637814 70 2.07 -22.68374

0.944445748 71 2.171 -15.50554

0.945585778 72 2.272 -5.809744

0.946626655 73 2.373 6.7067724

0.949343538 74 2.474 22.360886

0.953249431 75 2.575 41.483228

0.957901992 76 2.676 64.418179

0.962921066 77 2.777 91.523879

0.967997715 78 2.878 123.17222

0.972896035 79 2.979 159.74883

0.977449365 80 3.08 201.65313

0.981552616 81 3.181 249.29825

0.985152304 82 3.282 303.1111

0.988235707 83 3.383 363.53234

0.990820196 84 3.484 431.01637

0.992943549 85 3.585 506.03137

0.994655679 86 3.686 589.05924

0.996012025 87 3.787 680.59566

0.997068571 88 3.888 781.15004

0.997878401 89 3.989 891.24557

0.99848954 90 4.09 1011.4192

0.998943839 91 4.191 1142.2215

0.999276638 92 4.292 1284.2171

0.999516974 93 4.393 1437.9841

0.99968813 94 4.494 1604.1143

0.999808362 95 4.595 1783.2136

0.999891694 96 4.696 1975.9014
0.999948693 97 4.797 2182.8108

0.999987175 98 4.898 2404.5889 1 99 4.999 2641.8963
distribution of Z

Normal 

distribution

1.48672E-06 0.003898643

2.45094E-06 0.005848611

3.9995E-06 0.008661759

6.46025E-06 0.012661836

1.03291E-05 0.018265803

1.63472E-05 0.025997785

2.56093E-05 0.036499031

3.97118E-05 0.050530236

6.09553E-05 0.068961502

9.26132E-05 0.09274427

0.000139285 0.122858908

0.000207351 0.160231583

0.000305546 0.205614983

0.000445674 0.259429576

0.000643469 0.321565901

0.000919619 0.391153819

0.001300942 0.466311927

0.001821704 0.543898852

0.002525035 0.619297356

0.003464389 0.686270794

0.004704958 0.736937964

0.006324913 0.761914875

0.008416337 0.750668502

0.011085658 0.692116491

0.014453386 0.575486905

0.018652949 0.391423509

0.023828414 0.133286092

0.030130931 -0.201445061

0.03771375 -0.609791433

0.046725789 -1.082089857

0.057303789 -1.601182505

0.069563239 -2.142169253

0.083588399 -2.672884332

0.099421884 -3.1552078

0.117054396 -3.547244559

0.136415346 -3.806305018

0.157365126 -3.892511744

0.179689839 -3.772749061

0.203099244 -3.424583155

0.227228529 -2.839724576

0.251644341 -2.026596041

0.275855243 -1.011614489

0.299326439 0.161101713

0.321498297 1.431738702

0.341807853 2.728460037



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 3.972504117

0.37471238 5.084280999

0.386376486 5.98990039

0.394360216 6.627480823

0.398423793 6.952584168

0.398443914 6.942193945

0.394419966 6.596803502

0.386474058 5.940383486

0.374844865 5.018231338

0.359875719 3.892938583

0.34199778 2.638914232

0.32170943 1.336048991

0.299553264 0.063177764

0.276092166 -1.108009531

0.25188591 -2.118042166

0.227469632 -2.923305567

0.203335281 -3.498002392

0.17991684 -3.834395901

0.157579839 -3.941478285

0.136615273 -3.842357057

0.117237788 -3.570753848

0.099587708 -3.167054936

0.083736272 -2.674342872

0.069693339 -2.134781722

0.05741676 -1.586638155

0.046822635 -1.06211245

0.037795734 -0.586043282

0.030199481 -0.175451262

0.023885038 0.160191515

0.018699163 0.418129851

0.014490659 0.601119312

0.011115369 0.716031836

0.008439746 0.772438314

0.006343145 0.781299255

0.004718997 0.753854236

0.003475077 0.700760217

0.002533081 0.631492589

0.001827693 0.553994161

0.001305351 0.474537431

0.000922829 0.397754437

0.00064578 0.326785144

0.00044732 0.263497926

0.000306705 0.208742331

0.000208159 0.162603056

0.000139842 0.124633353

9.29928E-05 0.094054697

6.12113E-05 0.069916846

3.98826E-05 0.051217911

2.5722E-05 0.036987858

1.64209E-05 0.026340978

1.03767E-05 0.01850381

6.49066E-06 0.012824902
4.01874E-06 0.008772141

2.46298E-06 0.005922443

1.49417E-06 0.003947445
Absolute values

0.003898643 0.000196881

0.005848611 0.00059071

0.008661759 0.000874838

0.012661836 0.001278845

0.018265803 0.001844846

0.025997785 0.002625776

0.036499031 0.003686402

0.050530236 0.005103554

0.068961502 0.006965112

0.09274427 0.009367171

0.122858908 0.01240875

0.160231583 0.01618339

0.205614983 0.020767113

0.259429576 0.026202387

0.321565901 0.032478156

0.391153819 0.039506536

0.466311927 0.047097505

0.543898852 0.054933784

0.619297356 0.062549033

0.686270794 0.06931335

0.736937964 0.074430734

0.761914875 0.076953402

0.750668502 0.075817519

0.692116491 0.069903766

0.575486905 0.058124177

0.391423509 0.039533774

0.133286092 0.013461895

0.201445061 0.020345951

0.609791433 0.061588935

1.082089857 0.109291076

1.601182505 0.161719433

2.142169253 0.216359095

2.672884332 0.269961318

3.1552078 0.318675988

3.547244559 0.3582717

3.806305018 0.384436807

3.892511744 0.393143686

3.772749061 0.381047655

3.424583155 0.345882899

2.839724576 0.286812182

2.026596041 0.2046862

1.011614489 0.102173063

0.161101713 0.016271273

1.431738702 0.144605609

2.728460037 0.275574464



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
3.972504117 0.401222916

5.084280999 0.513512381

5.98990039 0.604979939

6.627480823 0.669375563

6.952584168 0.702211001

6.942193945 0.701161588

6.596803502 0.666277154

5.940383486 0.599978732

5.018231338 0.506841365

3.892938583 0.393186797

2.638914232 0.266530337

1.336048991 0.134940948

0.063177764 0.006380954

1.108009531 0.111908963

2.118042166 0.213922259

2.923305567 0.295253862

3.498002392 0.353298242

3.834395901 0.387273986

3.941478285 0.398089307

3.842357057 0.388078063

3.570753848 0.360646139

3.167054936 0.319872549

2.674342872 0.27010863

2.134781722 0.215612954

1.586638155 0.160250454

1.06211245 0.107273357

0.586043282 0.059190372

0.175451262 0.017720578

0.160191515 0.016179343

0.418129851 0.042231115

0.601119312 0.060713051

0.716031836 0.072319215

0.772438314 0.07801627

0.781299255 0.078911225

0.753854236 0.076139278

0.700760217 0.070776782

0.631492589 0.063780752

0.553994161 0.05595341

0.474537431 0.047928281

0.397754437 0.040173198

0.326785144 0.0330053

0.263497926 0.026613291

0.208742331 0.021082975

0.162603056 0.016422909

0.124633353 0.012587969

0.094054697 0.009499524

0.069916846 0.007061601

0.051217911 0.005173009

0.036987858 0.003735774

0.026340978 0.002660439

0.01850381 0.001868885

0.012824902 0.001295315
0.008772141 0.000885986

0.005922443 0.000598167

0.003947445 0.000199346
Cumulative normalization

0.000196881 1.26661E-05

0.000787591 5.06686E-05

0.001662429 0.00010695

0.002941274 0.000189223

0.00478612 0.000307909

0.007411897 0.000476835

0.011098299 0.000713994

0.016201853 0.001042325

0.023166964 0.001490416

0.032534136 0.002093041

0.044942885 0.002891341

0.061126275 0.003932478

0.081893389 0.005268503

0.108095776 0.006954199

0.140573932 0.009043638

0.180080468 0.011585239

0.227177972 0.014615194

0.282111756 0.018149286

0.344660789 0.022173296

0.413974139 0.026632478

0.488404874 0.031420881

0.565358276 0.036371576

0.641175795 0.041249196

0.71107956 0.045746362

0.769203738 0.049485704

0.808737512 0.052029057

0.822199407 0.052895111

0.842545359 0.054204041

0.904134293 0.058166283

1.013425369 0.06519738

1.175144802 0.075601386

1.391503896 0.089520562

1.661465214 0.106888166

1.980141202 0.127389763

2.338412902 0.150438699

2.722849709 0.175170932

3.115993395 0.200463311

3.49704105 0.224977508

3.842923949 0.247229426

4.129736131 0.265681108

4.334422331 0.278849324

4.436595395 0.285422493

4.452866668 0.286469284

4.597472276 0.295772294

4.87304674 0.313501013

2 ( ) ( )

i

f x f b



  



 
5.274269656 0.339313158

5.787782037 0.372349297

6.392761976 0.411269881

7.062137539 0.454333272

7.76434854 0.499509087

8.465510129 0.54461739

9.131787283 0.587481449

9.731766015 0.626080287

10.23860738 0.658687255

10.63179418 0.683982407

10.89832451 0.701129284

11.03326546 0.709810531

11.03964642 0.710221041

11.15155538 0.717420556

11.36547764 0.731182962

11.6607315 0.750177728

12.01402974 0.772906703

12.40130373 0.797821462

12.79939303 0.823432011

13.1874711 0.848398499

13.54811724 0.871600191

13.86798978 0.892178768

14.13809841 0.90955585

14.35371137 0.923427024

14.51396182 0.933736525

14.62123518 0.940637814

14.68042555 0.944445748

14.69814613 0.945585778

14.71432547 0.946626655

14.75655659 0.949343538

14.81726964 0.953249431

14.88958885 0.957901992

14.96760512 0.962921066

15.04651635 0.967997715

15.12265562 0.972896035

15.19343241 0.977449365

15.25721316 0.981552616

15.31316657 0.985152304

15.36109485 0.988235707

15.40126805 0.990820196

15.43427335 0.992943549

15.46088664 0.994655679

15.48196961 0.996012025

15.49839252 0.997068571

15.51098049 0.997878401

15.52048001 0.99848954

15.52754162 0.998943839

15.53271462 0.999276638

15.5364504 0.999516974

15.53911084 0.99968813

15.54097972 0.999808362

15.54227504 0.999891694
15.54316102 0.999948693

15.54375919 0.999987175

15.54395854 1

784.1525797
Appendix E-2b (i): Biomass Fluidized Bed CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Wet BiomassFB no 3 GATempleInlandRome

YES Yes Wet BiomassFB no 3 GATempleInlandRome

YES Yes Wet BiomassFB no 3 GATempleInlandRome
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

WF ICR Phase II - Templates CO CO ET Sample #1

WF ICR Phase II - Templates CO CO ET Sample #2

WF ICR Phase II - Templates CO CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

7/29/2009 1.36E+02 4.914669773 0

7/29/2009 6.09E+01 4.108684816 0

7/30/2009 9.92E+01 4.597277801 0
Appendix E-2b (ii): Biomass Fluidized Bed CO 

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) 4.540210797

Variance of natural log of 

test runs (σ2) 0.16484542

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 6.384686175

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.096349556

Flatness of z distribution 

(β2z) 68.26585957

Skewness of z distribution 

(√β1z) 0.777035422
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990837266 0.999280256 0.99602539

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 101.7616696

exp (2μ + σ2) 10355.4374

exp (σ2) - 1 0.179210822

(σ2/n) + [σ4/(2(n - 1))] 0.061741976

Square root term 106.4035051

Confidence Level 99% 99.9% 99.5%

UPL 2.25E+02 2.54E+02 2.36E+02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -5.12E-02 -6.20E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-2b (ii): Biomass Fluidized Bed CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

FB Wet Biomass 3 GATempleInlandRomeWF ICR Phase II - Templates CO

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 98.7849276 4.592945038 3 2 ET Wood: Bark
Appendix E-2b (iii): Biomass Fluidized Bed CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 68.26586 0.7770354

1.24189E-05 -5 =f(a) 1286.6327

4.9674E-05 1 -4.899 1170.6431

0.00010484 2 -4.798 1062.2717

0.000185469 3 -4.697 961.19333

0.000301762 4 -4.596 867.08952

0.000467252 5 -4.495 779.64863

0.000699544 6 -4.394 698.56581

0.001021069 7 -4.293 623.543

0.001459778 8 -4.192 554.28892

0.00204965 9 -4.091 490.51909

0.002830869 10 -3.99 431.95584

0.003849468 11 -3.889 378.32824

0.005156218 12 -3.788 329.37222

0.006804505 13 -3.687 284.83044

0.008846954 14 -3.586 244.45239

0.011330594 15 -3.485 207.99434

0.01429044 16 -3.384 175.21935

0.017741513 17 -3.283 145.89727

0.021669504 18 -3.182 119.80475

0.026020569 19 -3.081 96.725225

0.030690992 20 -2.98 76.448916

0.035517804 21 -2.879 58.772847

0.040271702 22 -2.778 43.500829

0.044653826 23 -2.677 30.443463

0.048298062 24 -2.576 19.418144

0.050780398 25 -2.475 10.249058

0.051636572 26 -2.374 2.7671804

0.052884513 27 -2.273 -3.189719

0.056692937 28 -2.172 -7.777079

0.063453912 29 -2.071 -11.14355

0.073447474 30 -1.97 -13.43098

0.086792527 31 -1.869 -14.77445

0.103400998 32 -1.768 -15.30222

0.122940607 33 -1.667 -15.13578

0.144811773 34 -1.566 -14.38981

0.168143734 35 -1.465 -13.17222

0.191813834 36 -1.364 -11.5841

0.214492082 37 -1.263 -9.719789

0.234710689 38 -1.162 -7.666794

0.250955566 39 -1.061 -5.505851

0.261773952 40 -0.96 -3.310901

0.26588986 41 -0.859 -1.149093

0.269462519 42 -0.758 0.9192154

0.281320105 43 -0.657 2.8404588

0.301593396 44 -0.556 4.5678629

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.329904739 45 -0.455 6.0614451

0.36536455 46 -0.354 7.2880144

0.406609762 47 -0.253 8.2211714

0.45188271 48 -0.152 8.8413083

0.49914469 49 -0.051 9.1356089

0.546214734 50 0.05 9.0980486

0.590921386 51 0.151 8.7293942

0.631253827 52 0.252 8.0372044

0.665498735 53 0.353 7.0358293

0.69235084 54 0.454 5.7464106

0.710987976 55 0.555 4.1968816

0.721105196 56 0.656 2.4219673

0.72290679 57 0.757 0.4631842

0.728754418 58 0.858 -1.63116

0.741202366 59 0.959 -3.805965

0.75892205 60 1.06 -5.999339

0.780420395 61 1.161 -8.142601

0.804156334 62 1.262 -10.16027

0.828648511 63 1.363 -11.97009

0.852565972 64 1.464 -13.483

0.874796172 65 1.565 -14.60315

0.894487495 66 1.666 -15.2279

0.911066189 67 1.767 -15.24781

0.924230071 68 1.868 -14.54667

0.933923103 69 1.969 -13.00145

0.9402961 70 2.07 -10.48235

0.943659189 71 2.171 -6.852774

0.944431419 72 2.272 -1.969327

0.945770649 73 2.373 4.3181726

0.948724741 74 2.474 12.166697

0.952815247 75 2.575 21.740012

0.957608215 76 2.676 33.208675

0.962731405 77 2.777 46.750033

0.967883084 78 2.878 62.548226

0.972833697 79 2.979 80.794186

0.977422012 80 3.08 101.68564

0.981547445 81 3.181 125.42709

0.985160149 82 3.282 152.22986

0.988250244 83 3.383 182.31203

0.990837266 84 3.484 215.89851

0.992960577 85 3.585 253.22096

0.994671219 86 3.686 294.51787

0.99602539 87 3.787 340.03449

0.997079567 88 3.888 390.02288

0.997887125 89 3.989 444.7419

0.998496245 90 4.09 504.45717

0.99894884 91 4.191 569.44113

0.999280256 92 4.292 639.97301

0.999519507 93 4.393 716.33881

0.999689833 94 4.494 798.83134

0.999809446 95 4.595 887.75019

0.999892325 96 4.696 983.40177
0.999949 97 4.797 1086.0992

0.999987254 98 4.898 1196.1626 1 99 4.999 1313.9185
distribution of Z

Normal 

distribution

1.48672E-06 0.001912862

2.45094E-06 0.002869176

3.9995E-06 0.004248559

6.46025E-06 0.006209546

1.03291E-05 0.008956244

1.63472E-05 0.012745109

2.56093E-05 0.017889754

3.97118E-05 0.024761994

6.09553E-05 0.033786821

9.26132E-05 0.045428536

0.000139285 0.060164958

0.000207351 0.078446623

0.000305546 0.100638332

0.000445674 0.126941494

0.000643469 0.157297564

0.000919619 0.191275564

0.001300942 0.227950245

0.001821704 0.265781628

0.002525035 0.302511142

0.003464389 0.335093792

0.004704958 0.359688904

0.006324913 0.371733135

0.008416337 0.366117654

0.011085658 0.337485837

0.014453386 0.280657944

0.018652949 0.191175146

0.023828414 0.06593752

0.030130931 -0.09610919

0.03771375 -0.29330281

0.046725789 -0.520691111

0.057303789 -0.769646298

0.069563239 -1.027758656

0.083588399 -1.279088203

0.099421884 -1.504827543

0.117054396 -1.684390515

0.136415346 -1.796892479

0.157365126 -1.822934039

0.179689839 -1.746547276

0.203099244 -1.557119964

0.227228529 -1.251086354

0.251644341 -0.833169478

0.275855243 -0.316983354

0.299326439 0.27514547

0.321498297 0.913202656

0.341807853 1.561331395



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 2.180375689

0.37471238 2.730909215

0.386376486 3.176467319

0.394360216 3.486660268

0.398423793 3.639843968

0.398443914 3.625062088

0.394419966 3.443047374

0.386474058 3.106171003

0.374844865 2.637344474

0.359875719 2.067993636

0.34199778 1.435324198

0.32170943 0.779169728

0.299553264 0.138748342

0.276092166 -0.450350399

0.25188591 -0.958668838

0.227469632 -1.364667478

0.203335281 -1.655678001

0.17991684 -1.828004512

0.157579839 -1.88624564

0.136615273 -1.841984264

0.117237788 -1.712041289

0.099587708 -1.516511623

0.083736272 -1.276795019

0.069693339 -1.013805899

0.05741676 -0.746501171

0.046822635 -0.490811354

0.037795734 -0.259005639

0.030199481 -0.059472647

0.023885038 0.103139717

0.018699163 0.227507051

0.014490659 0.315027109

0.011115369 0.369126673

0.008439746 0.394558413

0.006343145 0.396752484

0.004718997 0.38126751

0.003475077 0.353365456

0.002533081 0.317716951

0.001827693 0.27822951

0.001305351 0.237981261

0.000922829 0.199237418

0.00064578 0.163525136

0.00044732 0.131743706

0.000306705 0.104290398

0.000208159 0.081186596

0.000139842 0.062193491

9.29928E-05 0.046910883

6.12113E-05 0.034856222

3.98826E-05 0.025523785

2.5722E-05 0.018425683

1.64209E-05 0.013117518

1.03767E-05 0.009211886

6.49066E-06 0.006382925
4.01874E-06 0.004364747

2.46298E-06 0.002946119

1.49417E-06 0.001963219
Absolute values

0.001912862 9.65995E-05

0.002869176 0.000289787

0.004248559 0.000429104

0.006209546 0.000627164

0.008956244 0.000904581

0.012745109 0.001287256

0.017889754 0.001806865

0.024761994 0.002500961

0.033786821 0.003412469

0.045428536 0.004588282

0.060164958 0.006076661

0.078446623 0.007923109

0.100638332 0.010164472

0.126941494 0.012821091

0.157297564 0.015887054

0.191275564 0.019318832

0.227950245 0.023022975

0.265781628 0.026843944

0.302511142 0.030553625

0.335093792 0.033844473

0.359688904 0.036328579

0.371733135 0.037545047

0.366117654 0.036977883

0.337485837 0.03408607

0.280657944 0.028346452

0.191175146 0.01930869

0.06593752 0.00665969

0.09610919 0.009707028

0.29330281 0.029623584

0.520691111 0.052589802

0.769646298 0.077734276

1.027758656 0.103803624

1.279088203 0.129187908

1.504827543 0.151987582

1.684390515 0.170123442

1.796892479 0.18148614

1.822934039 0.184116338

1.746547276 0.176401275

1.557119964 0.157269116

1.251086354 0.126359722

0.833169478 0.084150117

0.316983354 0.032015319

0.27514547 0.027789692

0.913202656 0.092233468

1.561331395 0.157694471



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
2.180375689 0.220217945

2.730909215 0.275821831

3.176467319 0.320823199

3.486660268 0.352152687

3.639843968 0.367624241

3.625062088 0.366131271

3.443047374 0.347747785

3.106171003 0.313723271

2.637344474 0.266371792

2.067993636 0.208867357

1.435324198 0.144967744

0.779169728 0.078696143

0.138748342 0.014013583

0.450350399 0.04548539

0.958668838 0.096825553

1.364667478 0.137831415

1.655678001 0.167223478

1.828004512 0.184628456

1.88624564 0.19051081

1.841984264 0.186040411

1.712041289 0.17291617

1.516511623 0.153167674

1.276795019 0.128956297

1.013805899 0.102394396

0.746501171 0.075396618

0.490811354 0.049571947

0.259005639 0.02615957

0.059472647 0.006006737

0.103139717 0.010417111

0.227507051 0.022978212

0.315027109 0.031817738

0.369126673 0.037281794

0.394558413 0.0398504

0.396752484 0.040072001

0.38126751 0.038508019

0.353365456 0.035689911

0.317716951 0.032089412

0.27822951 0.028101181

0.237981261 0.024036107

0.199237418 0.020122979

0.163525136 0.016516039

0.131743706 0.013306114

0.104290398 0.01053333

0.081186596 0.008199846

0.062193491 0.006281543

0.046910883 0.004737999

0.034856222 0.003520478

0.025523785 0.002577902

0.018425683 0.001860994

0.013117518 0.001324869

0.009211886 0.000930401

0.006382925 0.000644675
0.004364747 0.000440839

0.002946119 0.000297558

0.001963219 9.91426E-05
Cumulative normalization

9.65995E-05 1.24189E-05

0.000386386 4.9674E-05

0.000815491 0.00010484

0.001442655 0.000185469

0.002347236 0.000301762

0.003634492 0.000467252

0.005441357 0.000699544

0.007942318 0.001021069

0.011354787 0.001459778

0.015943069 0.00204965

0.02201973 0.002830869

0.029942839 0.003849468

0.04010731 0.005156218

0.052928401 0.006804505

0.068815455 0.008846954

0.088134287 0.011330594

0.111157262 0.01429044

0.138001206 0.017741513

0.168554832 0.021669504

0.202399305 0.026020569

0.238727884 0.030690992

0.276272931 0.035517804

0.313250814 0.040271702

0.347336883 0.044653826

0.375683336 0.048298062

0.394992025 0.050780398

0.401651715 0.051636572

0.411358743 0.052884513

0.440982327 0.056692937

0.493572129 0.063453912

0.571306405 0.073447474

0.675110029 0.086792527

0.804297938 0.103400998

0.95628552 0.122940607

1.126408962 0.144811773

1.307895102 0.168143734

1.49201144 0.191813834

1.668412715 0.214492082

1.825681831 0.234710689

1.952041553 0.250955566

2.03619167 0.261773952

2.068206989 0.26588986

2.095996682 0.269462519

2.18823015 0.281320105

2.345924621 0.301593396

2 ( ) ( )

i

f x f b



  



 
2.566142565 0.329904739

2.841964396 0.36536455

3.162787595 0.406609762

3.514940282 0.45188271

3.882564523 0.49914469

4.248695794 0.546214734

4.596443579 0.590921386

4.91016685 0.631253827

5.176538642 0.665498735

5.385405999 0.69235084

5.530373743 0.710987976

5.609069886 0.721105196

5.623083468 0.72290679

5.668568859 0.728754418

5.765394411 0.741202366

5.903225826 0.75892205

6.070449305 0.780420395

6.25507776 0.804156334

6.44558857 0.828648511

6.631628981 0.852565972

6.804545151 0.874796172

6.957712825 0.894487495

7.086669122 0.911066189

7.189063517 0.924230071

7.264460136 0.933923103

7.314032082 0.9402961

7.340191652 0.943659189

7.346198389 0.944431419

7.356615501 0.945770649

7.379593713 0.948724741

7.411411451 0.952815247

7.448693245 0.957608215

7.488543645 0.962731405

7.528615645 0.967883084

7.567123664 0.972833697

7.602813575 0.977422012

7.634902987 0.981547445

7.663004168 0.985160149

7.687040275 0.988250244

7.707163254 0.990837266

7.723679293 0.992960577

7.736985407 0.994671219

7.747518737 0.99602539

7.755718584 0.997079567

7.762000126 0.997887125

7.766738125 0.998496245

7.770258604 0.99894884

7.772836506 0.999280256

7.7746975 0.999519507

7.776022369 0.999689833

7.77695277 0.999809446

7.777597445 0.999892325
7.778038285 0.999949

7.778335843 0.999987254

7.778434985 1

391.821615
Appendix E-2c (i): Biomass Fuel Cell CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Yes Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Yes Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Yes Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

SN-45 ICR Phase I Organic HAP and CO SN-45 CO ET Sample #1

SN-45 ICR Phase I Organic HAP and CO SN-45 CO ET Sample #2

SN-45 ICR Phase I Organic HAP and CO SN-45 CO ET Sample #3

SN-45 ICR Phase I Organic HAP and CO SN-45 (2) CO ET Sample #1

SN-45 ICR Phase I Organic HAP and CO SN-45 (2) CO ET Sample #2

SN-45 ICR Phase I Organic HAP and CO SN-45 (2) CO ET Sample #3

SN-45 ICR Phase II - Templates CO CO ET Sample #1

SN-45 ICR Phase II - Templates CO CO ET Sample #2

SN-45 ICR Phase II - Templates CO CO ET Sample #3

SN-45 ICR Phase II - Templates CO - D&F Results CO ET Sample #1

SN-45 ICR Phase II - Templates CO - D&F Results CO ET Sample #2

SN-45 ICR Phase II - Templates CO - D&F Results CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

9/28/2004 365.5521606 5.901408979 0

9/28/2004 373.708166 5.923475188 0

9/28/2004 379.3507474 5.938461232 0

12/3/2003 346.0581713 5.846606886 0

12/3/2003 357.549394 5.879273518 0

12/3/2003 363.5860206 5.896015914 0

8/11/2009 49.84562443 3.908930718 0

8/12/2009 202.6448011 5.311454698 0

8/12/2009 161.098732 5.082017419 0

7/17/2009 76.67201315 4.339536755 0

7/17/2009 34.54480101 3.542257062 0

7/20/2009 75.12070471 4.319096216 0
Appendix E-2c (ii): Biomass Fuel Cell CO Test 

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

YES

Number of sources with 

test data 1

n 12

n-1 11

Average of natural log of 

test run values (μ) 5.157377882

Variance of natural log of 

test runs (σ2) 0.805506304

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 59.51605694

Denominator for 

calculation of flatness of z 

distribution (β2z) 4.59666363

Flatness of z distribution 

(β2z) 14.94766416

Skewness of z distribution 

(√β1z) 2.722157145
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990546249 0.999299811 0.996007662

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 259.8568841

exp (2μ + σ2) 67525.60024

exp (σ2) - 1 1.237829233

(σ2/n) + [σ4/(2(n - 1))] 0.096618271

Square root term 556.3032864

Confidence Level 99% 99.9% 99.5%

UPL 9.06E+02 1.06E+03 9.62E+02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -2.72E-01 -7.31E-01

SE Skewness 0.71 0.71

Skewness Test normal normal

Kurtosis = -2.01E+00 -1.12E+00

SE Kurtosis 1.41 1.41

Kurtosis Test normal normal

Number of test runs = 12 12
ndix E-2c (ii): Biomass Fuel Cell CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Fuel Cell Wet Biomass 1 ARWeyerhaeuserDierksMill SN-45 ICR Phase II - Templates CO - D&F Results

Fuel Cell Wet Biomass 1 ARWeyerhaeuserDierksMill SN-45 ICR Phase II - Templates CO

Fuel Cell Wet Biomass 1 ARWeyerhaeuserDierksMill SN-45 ICR Phase I Organic HAP and CO SN-45 (2)

Fuel Cell Wet Biomass 1 ARWeyerhaeuserDierksMill SN-45 ICR Phase I Organic HAP and CO SN-45

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 62.11250629 4.128947358 3 2 ET Hog Fuel

CO 137.8630525 4.926260819 3 2 ET Hog Fuel

CO 355.7311953 5.874175376 3 2 ET /Hog Fuel/

CO 372.870358 5.921230794 3 2 ET /Hog Fuel/
Appendix E-2c (iii): Biomass Fuel Cell CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 14.947664 2.7221571

7.89094E-06 -5 =f(a) 189.05143

3.14074E-05 1 -4.899 170.8797

6.59856E-05 2 -4.798 153.97365

0.000116144 3 -4.697 138.27639

0.000187906 4 -4.596 123.73229

0.000289138 5 -4.495 110.28697

0.000429896 6 -4.394 97.887257

0.000622733 7 -4.293 86.481262

0.000882916 8 -4.192 76.018318

0.001228466 9 -4.091 66.449006

0.001679926 10 -3.99 57.72515

0.002259732 11 -3.889 49.799817

0.002991063 12 -3.788 42.627318

0.003896032 13 -3.687 36.163207

0.004993116 14 -3.586 30.364281

0.006293768 15 -3.485 25.18858

0.007798217 16 -3.384 20.595388

0.009490606 17 -3.283 16.545233

0.011333737 18 -3.182 12.999883

0.013263886 19 -3.081 9.9223544

0.015186321 20 -2.98 7.2769022

0.016972348 21 -2.879 5.029027

0.018458826 22 -2.778 3.1454722

0.019451166 23 -2.677 1.5942244

0.019730759 24 -2.576 0.3445137

0.020393935 25 -2.475 -0.633187

0.022223147 26 -2.374 -1.36716

0.02541135 27 -2.273 -1.884448

0.030093092 28 -2.172 -2.210845

0.036313524 29 -2.071 -2.370906

0.04399698 30 -1.97 -2.387942

0.052918298 31 -1.869 -2.284019

0.062680569 32 -1.768 -2.079962

0.072703173 33 -1.667 -1.79535

0.082223724 34 -1.566 -1.448521

0.090316748 35 -1.465 -1.05657

0.095930691 36 -1.364 -0.635346

0.097943124 37 -1.263 -0.199457

0.100654235 38 -1.162 0.237733

0.109127435 39 -1.061 0.6641025

0.124229024 40 -0.96 1.0687744

0.146566309 41 -0.859 1.4421142

0.17641132 42 -0.758 1.7757311

0.213643399 43 -0.657 2.0624772

0.257717973 44 -0.556 2.296448

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.307666843 45 -0.455 2.4729825

0.362132527 46 -0.354 2.5886626

0.419435897 47 -0.253 2.6413138

0.47767291 48 -0.152 2.6300047

0.534833101 49 -0.051 2.5550472

0.588929998 50 0.05 2.4179966

0.638132169 51 0.151 2.2216513

0.680883315 52 0.252 1.9700531

0.716000838 53 0.353 1.6684871

0.742744439 54 0.454 1.3234815

0.760849334 55 0.555 0.942808

0.770522254 56 0.656 0.5354814

0.772402045 57 0.757 0.1117599

0.777314111 58 0.858 -0.316855

0.787746537 59 0.959 -0.737619

0.802262935 60 1.06 -1.136543

0.819370537 61 1.161 -1.498397

0.837622466 62 1.262 -1.806706

0.855705792 63 1.363 -2.043752

0.872509558 64 1.464 -2.190574

0.887169456 65 1.565 -2.226967

0.899088391 66 1.666 -2.131485

0.907934502 67 1.767 -1.881435

0.913620044 68 1.868 -1.452884

0.916265793 69 1.969 -0.820655

0.916375358 70 2.07 0.0416742

0.918840893 71 2.171 1.1617668

0.92319635 72 2.272 2.5685304

0.928952695 73 2.373 4.2921156

0.935634535 74 2.474 6.3639162

0.942808136 75 2.575 8.8165694

0.950100415 76 2.676 11.683956

0.957209355 77 2.777 15.001199

0.963906963 78 2.878 18.804666

0.970036275 79 2.979 23.131967

0.975504072 80 3.08 28.021955

0.980270952 81 3.181 33.514729

0.984340197 82 3.282 39.651627

0.987746619 83 3.383 46.475232

0.990546249 84 3.484 54.029373

0.992807425 85 3.585 62.359119

0.994603561 86 3.686 71.510782

0.996007662 87 3.787 81.53192

0.997088476 88 3.888 92.471332

0.997908072 89 3.989 104.37906

0.998520592 90 4.09 117.30639

0.998971892 91 4.191 131.30586

0.999299811 92 4.292 146.43123

0.999534851 93 4.393 162.73753

0.999701076 94 4.494 180.28101

0.999817093 95 4.595 199.11917

0.99989702 96 4.696 219.31076
0.999951384 97 4.797 240.91577

0.999987893 98 4.898 263.99544 1 99 4.999 288.61223
distribution of Z

Normal 

distribution

1.48672E-06 0.000281066

2.45094E-06 0.000418816

3.9995E-06 0.000615818

6.46025E-06 0.0008933

1.03291E-05 0.001278042

1.63472E-05 0.001802888

2.56093E-05 0.00250682

3.97118E-05 0.003434324

6.09553E-05 0.004633716

9.26132E-05 0.006154054

0.000139285 0.008040246

0.000207351 0.010326027

0.000305546 0.013024602

0.000445674 0.016116998

0.000643469 0.019538477

0.000919619 0.023163898

0.001300942 0.026793409

0.001821704 0.030140514

0.002525035 0.032825155

0.003464389 0.034374894

0.004704958 0.034237516

0.006324913 0.031808157

0.008416337 0.026473355

0.011085658 0.017673028

0.014453386 0.00497939

0.018652949 -0.0118108

0.023828414 -0.032577265

0.030130931 -0.056780158

0.03771375 -0.083379253

0.046725789 -0.110782471

0.057303789 -0.136838132

0.069563239 -0.158883782

0.083588399 -0.173860677

0.099421884 -0.178497083

0.117054396 -0.169555787

0.136415346 -0.144132307

0.157365126 -0.099981236

0.179689839 -0.035840337

0.203099244 0.048283388

0.227228529 0.150903038

0.251644341 0.268951021

0.275855243 0.397814769

0.299326439 0.531523256

0.321498297 0.663082891

0.341807853 0.784943965



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 0.889561945

0.37471238 0.970003928

0.386376486 1.020541545

0.394360216 1.037169224

0.398423793 1.017991615

0.398443914 0.963436039

0.394419966 0.876263644

0.386474058 0.761374431

0.374844865 0.625423814

0.359875719 0.476288851

0.34199778 0.322438226

0.32170943 0.172269403

0.299553264 0.033478034

0.276092166 -0.087481206

0.25188591 -0.185795778

0.227469632 -0.258529071

0.203335281 -0.304677006

0.17991684 -0.325056836

0.157579839 -0.322054104

0.136615273 -0.299265847

0.117237788 -0.261084731

0.099587708 -0.212269691

0.083736272 -0.157544377

0.069693339 -0.10125637

0.05741676 -0.047119346

0.046822635 0.001951294

0.037795734 0.043909831

0.030199481 0.077568287

0.023885038 0.102517345

0.018699163 0.118999904

0.014490659 0.127757902

0.011115369 0.129871479

0.008439746 0.126606311

0.006343145 0.119280726

0.004718997 0.109159678

0.003475077 0.097378463

0.002533081 0.084895514

0.001827693 0.072471017

0.001305351 0.060666508

0.000922829 0.049859876

0.00064578 0.040270297

0.00044732 0.031988197

0.000306705 0.025006276

0.000208159 0.019248698

0.000139842 0.014596552

9.29928E-05 0.01090865

6.12113E-05 0.0080374

3.98826E-05 0.005840058

2.5722E-05 0.004185938

1.64209E-05 0.002960374

1.03767E-05 0.002066193

6.49066E-06 0.001423471
4.01874E-06 0.000968177

2.46298E-06 0.000650214

1.49417E-06 0.000431236
Absolute values

0.000281066 1.41939E-05

0.000418816 4.23004E-05

0.000615818 6.21976E-05

0.0008933 9.02233E-05

0.001278042 0.000129082

0.001802888 0.000182092

0.00250682 0.000253189

0.003434324 0.000346867

0.004633716 0.000468005

0.006154054 0.000621559

0.008040246 0.000812065

0.010326027 0.001042929

0.013024602 0.001315485

0.016116998 0.001627817

0.019538477 0.001973386

0.023163898 0.002339554

0.026793409 0.002706134

0.030140514 0.003044192

0.032825155 0.003315341

0.034374894 0.003471864

0.034237516 0.003457989

0.031808157 0.003212624

0.026473355 0.002673809

0.017673028 0.001784976

0.00497939 0.000502918

0.0118108 0.001192891

0.032577265 0.003290304

0.056780158 0.005734796

0.083379253 0.008421305

0.110782471 0.01118903

0.136838132 0.013820651

0.158883782 0.016047262

0.173860677 0.017559928

0.178497083 0.018028205

0.169555787 0.017125134

0.144132307 0.014557363

0.099981236 0.010098105

0.035840337 0.003619874

0.048283388 0.004876622

0.150903038 0.015241207

0.268951021 0.027164053

0.397814769 0.040179292

0.531523256 0.053683849

0.663082891 0.066971372

0.784943965 0.07927934



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
0.889561945 0.089845756

0.970003928 0.097970397

1.020541545 0.103074696

1.037169224 0.104754092

1.017991615 0.102817153

0.963436039 0.09730704

0.876263644 0.088502628

0.761374431 0.076898818

0.625423814 0.063167805

0.476288851 0.048105174

0.322438226 0.032566261

0.172269403 0.01739921

0.033478034 0.003381281

0.087481206 0.008835602

0.185795778 0.018765374

0.258529071 0.026111436

0.304677006 0.030772378

0.325056836 0.03283074

0.322054104 0.032527464

0.299265847 0.030225851

0.261084731 0.026369558

0.212269691 0.021439239

0.157544377 0.015911982

0.10125637 0.010226893

0.047119346 0.004759054

0.001951294 0.000197081

0.043909831 0.004434893

0.077568287 0.007834397

0.102517345 0.010354252

0.118999904 0.01201899

0.127757902 0.012903548

0.129871479 0.013117019

0.126606311 0.012787237

0.119280726 0.012047353

0.109159678 0.011025127

0.097378463 0.009835225

0.084895514 0.008574447

0.072471017 0.007319573

0.060666508 0.006127317

0.049859876 0.005035847

0.040270297 0.0040673

0.031988197 0.003230808

0.025006276 0.002525634

0.019248698 0.001944118

0.014596552 0.001474252

0.01090865 0.001101774

0.0080374 0.000811777

0.005840058 0.000589846

0.004185938 0.00042278

0.002960374 0.000298998

0.002066193 0.000208685

0.001423471 0.000143771
0.000968177 9.77859E-05

0.000650214 6.56716E-05

0.000431236 2.17774E-05
Cumulative normalization

1.41939E-05 7.89094E-06

5.64943E-05 3.14074E-05

0.000118692 6.59856E-05

0.000208915 0.000116144

0.000337997 0.000187906

0.000520089 0.000289138

0.000773278 0.000429896

0.001120145 0.000622733

0.00158815 0.000882916

0.002209709 0.001228466

0.003021774 0.001679926

0.004064703 0.002259732

0.005380188 0.002991063

0.007008005 0.003896032

0.008981391 0.004993116

0.011320944 0.006293768

0.014027079 0.007798217

0.017071271 0.009490606

0.020386611 0.011333737

0.023858476 0.013263886

0.027316465 0.015186321

0.030529089 0.016972348

0.033202897 0.018458826

0.034987873 0.019451166

0.035490792 0.019730759

0.036683682 0.020393935

0.039973986 0.022223147

0.045708782 0.02541135

0.054130087 0.030093092

0.065319116 0.036313524

0.079139768 0.04399698

0.09518703 0.052918298

0.112746958 0.062680569

0.130775163 0.072703173

0.147900298 0.082223724

0.162457661 0.090316748

0.172555766 0.095930691

0.17617564 0.097943124

0.181052262 0.100654235

0.196293469 0.109127435

0.223457522 0.124229024

0.263636814 0.146566309

0.317320662 0.17641132

0.384292034 0.213643399

0.463571375 0.257717973

2 ( ) ( )

i

f x f b



  



 
0.553417131 0.307666843

0.651387528 0.362132527

0.754462224 0.419435897

0.859216316 0.47767291

0.962033469 0.534833101

1.059340509 0.588929998

1.147843137 0.638132169

1.224741954 0.680883315

1.28790976 0.716000838

1.336014934 0.742744439

1.368581195 0.760849334

1.385980404 0.770522254

1.389361686 0.772402045

1.398197287 0.777314111

1.416962661 0.787746537

1.443074097 0.802262935

1.473846475 0.819370537

1.506677215 0.837622466

1.53920468 0.855705792

1.56943053 0.872509558

1.595800088 0.887169456

1.617239327 0.899088391

1.633151309 0.907934502

1.643378202 0.913620044

1.648137256 0.916265793

1.648334337 0.916375358

1.65276923 0.918840893

1.660603627 0.92319635

1.670957879 0.928952695

1.682976869 0.935634535

1.695880417 0.942808136

1.708997437 0.950100415

1.721784674 0.957209355

1.733832027 0.963906963

1.744857155 0.970036275

1.75469238 0.975504072

1.763266827 0.980270952

1.770586399 0.984340197

1.776713717 0.987746619

1.781749564 0.990546249

1.785816864 0.992807425

1.789047672 0.994603561

1.791573306 0.996007662

1.793517424 0.997088476

1.794991676 0.997908072

1.79609345 0.998520592

1.796905227 0.998971892

1.797495073 0.999299811

1.797917853 0.999534851

1.79821685 0.999701076

1.798425536 0.999817093

1.798569307 0.99989702
1.798667092 0.999951384

1.798732764 0.999987893

1.798754541 1

88.80008984
Appendix E-2d (i): Biomass Suspension Burner CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Yes Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Yes Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Dry BiomassSuspension Burner no 1 GATempleInlandThomson

YES Dry BiomassSuspension Burner no 1 GATempleInlandThomson
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

BW-B001 ICR Phase I Organic HAP and CO CO ET Sample #1

BW-B001 ICR Phase I Organic HAP and CO CO ET Sample #2

BW-B001 ICR Phase I Organic HAP and CO CO ET Sample #3

BW-B001 ICR Phase I Organic HAP and CO (2) CO ET Sample #1

BW-B001 ICR Phase I Organic HAP and CO (2) CO ET Sample #2

BW-B001 ICR Phase I Organic HAP and CO (2) CO ET Sample #3

BW-B001 ICR Phase II - Comments Additional CO from Test Report CO ET Sample #1

BW-B001 ICR Phase II - Comments Additional CO from Test Report CO ET Sample #2

BW-B001 ICR Phase II - Comments Additional CO from Test Report CO ET Sample #3

BW-B001 ICR Phase II - Voluntary Additional CO Data CO ET Sample #1

BW-B001 ICR Phase II - Voluntary Additional CO Data CO ET Sample #2

BW-B001 ICR Phase II - Voluntary Additional CO Data CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

1/30/2003 15.01129235 2.708802741 0

1/30/2003 15.55337282 2.744277516 0

1/30/2003 15.55337282 2.744277516 0

12/7/2004 669.7674144 6.506930509 0

12/7/2004 1618.462903 7.389232153 0

12/7/2004 2342.178959 7.758836954 0

12/7/2010 108.8013165 4.689523434 0

12/7/2010 430.844684 6.065747663 0

12/7/2010 590.1568119 6.380388285 0

12/3/2008 29.05782345 3.369287757 0

12/3/2008 9.013561025 2.198730224 0

12/3/2008 16.95054096 2.830299748 0
Appendix E-2d (ii): Biomass Suspension Burn

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

YES

Number of sources with 

test data 1

n 12

n-1 11

Average of natural log of 

test run values (μ) 4.615527875

Variance of natural log of 

test runs (σ2) 4.326763426

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 33721326.05

Denominator for 

calculation of flatness of z 

distribution (β2z) 16739.77008

Flatness of z distribution 

(β2z) 2016.4438

Skewness of z distribution 

(√β1z) 387.7137609
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.991740637 0.999186734 0.995396454

z-value 3.585 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 879.1096096

exp (2μ + σ2) 772833.7057

exp (σ2) - 1 74.6988846

(σ2/n) + [σ4/(2(n - 1))] 1.211512789

Square root term 13476.50283

Confidence Level 99% 99.9% 99.5%

UPL 1.70E+04 2.02E+04 1.79E+04

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.82E+00 3.14E-01

SE Skewness 0.71 0.71

Skewness Test non-normal normal

Kurtosis = 2.71E+00 -1.78E+00

SE Kurtosis 1.41 1.41

Kurtosis Test normal normal

Number of test runs = 12 12
ndix E-2d (ii): Biomass Suspension Burner CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Suspension Burner Dy Biomass 1 GATempleInlandThomson BW-B001 ICR Phase I Organic HAP and CO

Suspension Burner Dy Biomass 1 GATempleInlandThomson BW-B001 ICR Phase II - Voluntary Additional CO Data

Suspension Burner Dy Biomass 1 GATempleInlandThomson BW-B001 ICR Phase II - Comments Additional CO from Test Report

Suspension Burner Dy Biomass 1 GATempleInlandThomson BW-B001 ICR Phase I Organic HAP and CO (2)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 15.37267933 2.732591864 3 2 ET /Wood: Plywood, Particleboard (containing glues or resins)/

CO 18.34064181 2.909119461 3 2 ET /Wood: Plywood, Particleboard (containing glues or resins)/

CO 376.6009375 5.931186105 3 2 ET /Natural gas/Plywood Sander Dust/

CO 1543.469759 7.341788251 3 2 ET /Wood: Plywood, Particleboard (containing glues or resins)/

d (containing glues or resins)/

d (containing glues or resins)/

d (containing glues or resins)/
Appendix E-2d (iii): Biomass Suspension Burner CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 2016.4438 387.71376

9.83599E-06 -5 =f(a) 32994.003

3.91735E-05 1 -4.899 29847.379

8.23479E-05 2 -4.798 26917.599

0.000145032 3 -4.697 24195.004

0.000234797 4 -4.596 21670.146

0.000361547 5 -4.495 19333.784

0.000537957 6 -4.394 17176.889

0.000779882 7 -4.293 15190.64

0.001106628 8 -4.192 13366.426

0.001541026 9 -4.091 11695.847

0.002109145 10 -3.99 10170.71

0.0028395 11 -3.889 8783.0319

0.003761582 12 -3.788 7525.0413

0.004903528 13 -3.687 6389.1742

0.006288785 14 -3.586 5368.0769

0.007931647 15 -3.485 4454.6051

0.009831679 16 -3.384 3641.824

0.011967141 17 -3.283 2923.0083

0.014287729 18 -3.182 2291.6424

0.016707165 19 -3.081 1741.4201

0.019096391 20 -2.98 1266.2445

0.021278379 21 -2.879 860.2287

0.023025733 22 -2.778 517.69489

0.024062372 23 -2.677 233.17498

0.024070546 24 -2.576 1.4103625

0.025436848 25 -2.475 -182.6481

0.028531482 26 -2.374 -323.8398

0.033688704 27 -2.273 -426.795

0.041189506 28 -2.172 -495.9342

0.051223512 29 -2.071 -535.4683

0.063849199 30 -1.97 -549.3989

0.078956139 31 -1.869 -541.5179

0.096233636 32 -1.768 -515.4077

0.11515047 33 -1.667 -474.4414

0.134950229 34 -1.566 -421.7822

0.15466596 35 -1.465 -360.3842

0.173156417 36 -1.364 -292.9916

0.189164269 37 -1.263 -222.1394

0.201394251 38 -1.162 -150.1529

0.208606745 39 -1.061 -79.14777

0.209719921 40 -0.96 -11.03044

0.215528151 41 -0.859 52.502339

0.228728241 42 -0.758 109.96333

0.249367093 43 -0.657 160.07479

0.277025003 44 -0.556 201.76851

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.310808114 45 -0.455 234.1858

0.349379899 46 -0.354 256.67748

0.391031354 47 -0.253 268.8039

0.433785592 48 -0.152 270.33492

0.475528756 49 -0.051 261.24993

0.514156179 50 0.05 241.73783

0.547720831 51 0.151 212.19705

0.574570642 52 0.252 173.23553

0.593462281 53 0.353 125.67073

0.603641353 54 0.454 70.529647

0.604882425 55 0.555 9.0487755

0.612278448 56 0.656 -57.32586

0.627527824 57 0.757 -126.9387

0.649442652 58 0.858 -197.9247

0.676535935 59 0.959 -268.2093

0.707142226 60 1.06 -335.5084

0.739542309 61 1.161 -397.3283

0.772080951 62 1.262 -450.9659

0.803268357 63 1.363 -493.5085

0.831858452 64 1.464 -521.8341

0.856900016 65 1.565 -532.6107

0.877759689 66 1.666 -522.2974

0.894118592 67 1.767 -487.1432

0.905946515 68 1.868 -423.188

0.913459092 69 1.969 -326.2619

0.917064119 70 2.07 -191.9857

0.91730316 71 2.171 -15.77047

0.919812361 72 2.272 207.18201

0.924428176 73 2.373 481.87966

0.93052895 74 2.474 813.53985

0.937546595 75 2.575 1207.5895

0.944989408 76 2.676 1669.665

0.952454626 77 2.777 2205.6122

0.959632017 78 2.878 2821.4868

0.966300307 79 2.979 3523.5535

0.972318414 80 3.08 4318.287

0.977613442 81 3.181 5212.3713

0.982167176 82 3.282 6212.6998

0.986002486 83 3.383 7326.3757

0.989170704 84 3.484 8560.7115

0.991740637 85 3.585 9923.2293

0.993789588 86 3.686 11421.661

0.995396454 87 3.787 13063.947

0.996636807 88 3.888 14858.239

0.997579702 89 3.989 16812.896

0.99828591 90 4.09 18936.488

0.998807255 91 4.191 21237.796

0.999186734 92 4.292 23725.806

0.999459163 93 4.393 26409.718

0.999652108 94 4.494 29298.939

0.99978695 95 4.595 32403.086

0.999879961 96 4.696 35731.988
0.999943292 97 4.797 39295.678

0.999985868 98 4.898 43104.405 1 99 4.999 47168.622
distribution of Z

Normal 

distribution

1.48672E-06 0.049052829

2.45094E-06 0.073154129

3.9995E-06 0.107657011

6.46025E-06 0.1563057

1.03291E-05 0.223832849

1.63472E-05 0.316054144

2.56093E-05 0.439887413

3.97118E-05 0.603247134

6.09553E-05 0.814753883

9.26132E-05 1.083189632

0.000139285 1.416627034

0.000207351 1.821167752

0.000305546 2.299245538

0.000445674 2.8474882

0.000643469 3.454191665

0.000919619 4.096539745

0.001300942 4.737802349

0.001821704 5.324855513

0.002525035 5.786476291

0.003464389 6.032956278

0.004704958 5.957626793

0.006324913 5.440871528

0.008416337 4.357094893

0.011085658 2.584898227

0.014453386 0.020384515

0.018652949 -3.406924839

0.023828414 -7.716589943

0.030130931 -12.85973207

0.03771375 -18.70353842

0.046725789 -25.02017957

0.057303789 -31.48263708

0.069563239 -37.66973562

0.083588399 -43.08210497

0.099421884 -47.16985331

0.117054396 -49.37146309

0.136415346 -49.16193434

0.157365126 -46.10666626

0.179689839 -39.91619589

0.203099244 -30.4959311

0.227228529 -17.98463023

0.251644341 -2.775748565

0.275855243 14.4830456

0.299326439 32.91493164

0.321498297 51.46377299

0.341807853 68.96606289



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 84.23948884

0.37471238 96.18023103

0.386376486 103.8595069

0.394360216 106.6093382

0.398423793 104.088188

0.398443914 96.31896727

0.394419966 83.69475247

0.386474058 66.95103721

0.374844865 47.10702862

0.359875719 25.38190746

0.34199778 3.094661145

0.32170943 -18.44226944

0.299553264 -38.02490599

0.276092166 -54.64546597

0.25188591 -67.55814594

0.227469632 -76.31796468

0.203335281 -80.79085557

0.17991684 -81.13635683

0.157579839 -77.76699651

0.136615273 -71.2905025

0.117237788 -62.4421053

0.099587708 -52.01439781

0.083736272 -40.79155487

0.069693339 -29.4933814

0.05741676 -18.73289964

0.046822635 -8.989274162

0.037795734 -0.596056467

0.030199481 6.256789366

0.023885038 11.50971409

0.018699163 15.21251392

0.014490659 17.49876743

0.011115369 18.55894209

0.008439746 18.61480765

0.006343145 17.89710049

0.004718997 16.62763807

0.003475077 15.00638162

0.002533081 13.20335734

0.001827693 11.3549106

0.001305351 9.5634945

0.000922829 7.900073424

0.00064578 6.408227119

0.00044732 5.109136297

0.000306705 4.006782483

0.000208159 3.092869343

0.000139842 2.351145021

9.29928E-05 1.760957005

6.12113E-05 1.2999927

3.98826E-05 0.946246717

2.5722E-05 0.679311348

1.64209E-05 0.481114516

1.03767E-05 0.33623597

6.49066E-06 0.231924137
4.01874E-06 0.157918973

2.46298E-06 0.106165077

1.49417E-06 0.070477986
Absolute values

0.049052829 0.002477168

0.073154129 0.007388567

0.107657011 0.010873358

0.1563057 0.015786876

0.223832849 0.022607118

0.316054144 0.031921469

0.439887413 0.044428629

0.603247134 0.06092796

0.814753883 0.082290142

1.083189632 0.109402153

1.416627034 0.14307933

1.821167752 0.183937943

2.299245538 0.232223799

2.8474882 0.287596308

3.454191665 0.348873358

4.096539745 0.413750514

4.737802349 0.478518037

5.324855513 0.537810407

5.786476291 0.584434105

6.032956278 0.609328584

5.957626793 0.601720306

5.440871528 0.549528024

4.357094893 0.440066584

2.584898227 0.261074721

0.020384515 0.002058836

3.406924839 0.344099409

7.716589943 0.779375584

12.85973207 1.298832939

18.70353842 1.889057381

25.02017957 2.527038137

31.48263708 3.179746345

37.66973562 3.804643297

43.08210497 4.351292602

47.16985331 4.764155185

49.37146309 4.986517772

49.16193434 4.965355369

46.10666626 4.656773292

39.91619589 4.031535785

30.4959311 3.080089041

17.98463023 1.816447653

2.775748565 0.280350605

14.4830456 1.462787605

32.91493164 3.324408095

51.46377299 5.197841072

68.96606289 6.965572352



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
84.23948884 8.508188373

96.18023103 9.714203334

103.8595069 10.4898102

106.6093382 10.76754316

104.088188 10.51290699

96.31896727 9.728215694

83.69475247 8.45317

66.95103721 6.762054758

47.10702862 4.757809891

25.38190746 2.563572653

3.094661145 0.312560776

18.44226944 1.862669213

38.02490599 3.840515505

54.64546597 5.519192063

67.55814594 6.82337274

76.31796468 7.708114433

80.79085557 8.159876413

81.13635683 8.19477204

77.76699651 7.854466648

71.2905025 7.200340753

62.4421053 6.306652635

52.01439781 5.253454178

40.79155487 4.119947042

29.4933814 2.978831521

18.73289964 1.892022863

8.989274162 0.90791669

0.596056467 0.060201703

6.256789366 0.631935726

11.50971409 1.162481123

15.21251392 1.536463906

17.49876743 1.76737551

18.55894209 1.874453151

18.61480765 1.880095572

17.89710049 1.807607149

16.62763807 1.679391445

15.00638162 1.515644543

13.20335734 1.333539091

11.3549106 1.146845971

9.5634945 0.965912945

7.900073424 0.797907416

6.408227119 0.647230939

5.109136297 0.516022766

4.006782483 0.404685031

3.092869343 0.312379804

2.351145021 0.237465647

1.760957005 0.177856658

1.2999927 0.131299263

0.946246717 0.095570918

0.679311348 0.068610446

0.481114516 0.048592566

0.33623597 0.033959833

0.231924137 0.023424338
0.157918973 0.015949816

0.106165077 0.010722673

0.070477986 0.003559138
Cumulative normalization

0.002477168 9.83599E-06

0.009865735 3.91735E-05

0.020739093 8.23479E-05

0.036525969 0.000145032

0.059133086 0.000234797

0.091054555 0.000361547

0.135483184 0.000537957

0.196411144 0.000779882

0.278701286 0.001106628

0.388103439 0.001541026

0.53118277 0.002109145

0.715120713 0.0028395

0.947344512 0.003761582

1.23494082 0.004903528

1.583814178 0.006288785

1.997564692 0.007931647

2.47608273 0.009831679

3.013893137 0.011967141

3.598327242 0.014287729

4.207655826 0.016707165

4.809376132 0.019096391

5.358904156 0.021278379

5.798970741 0.023025733

6.060045462 0.024062372

6.062104298 0.024070546

6.406203706 0.025436848

7.185579291 0.028531482

8.48441223 0.033688704

10.37346961 0.041189506

12.90050775 0.051223512

16.08025409 0.063849199

19.88489739 0.078956139

24.23618999 0.096233636

29.00034518 0.11515047

33.98686295 0.134950229

38.95221832 0.15466596

43.60899161 0.173156417

47.64052739 0.189164269

50.72061643 0.201394251

52.53706409 0.208606745

52.81741469 0.209719921

54.2802023 0.215528151

57.60461039 0.228728241

62.80245147 0.249367093

69.76802382 0.277025003

2 ( ) ( )

i

f x f b



  



 
78.27621219 0.310808114

87.99041552 0.349379899

98.48022572 0.391031354

109.2477689 0.433785592

119.7606759 0.475528756

129.4888916 0.514156179

137.9420616 0.547720831

144.7041163 0.574570642

149.4619262 0.593462281

152.0254989 0.603641353

152.3380596 0.604882425

154.2007289 0.612278448

158.0412444 0.627527824

163.5604364 0.649442652

170.3838092 0.676535935

178.0919236 0.707142226

186.2518 0.739542309

194.446572 0.772080951

202.3010387 0.803268357

209.5013794 0.831858452

215.8080321 0.856900016

221.0614863 0.877759689

225.1814333 0.894118592

228.1602648 0.905946515

230.0522877 0.913459092

230.9602044 0.917064119

231.0204061 0.91730316

231.6523418 0.919812361

232.8148229 0.924428176

234.3512868 0.93052895

236.1186623 0.937546595

237.9931155 0.944989408

239.8732111 0.952454626

241.6808182 0.959632017

243.3602097 0.966300307

244.8758542 0.972318414

246.2093933 0.977613442

247.3562393 0.982167176

248.3221522 0.986002486

249.1200596 0.989170704

249.7672906 0.991740637

250.2833133 0.993789588

250.6879984 0.995396454

251.0003782 0.996636807

251.2378438 0.997579702

251.4157005 0.99828591

251.5469997 0.998807255

251.6425707 0.999186734

251.7111811 0.999459163

251.7597737 0.999652108

251.7937335 0.99978695

251.8171578 0.999879961
251.8331077 0.999943292

251.8438303 0.999985868

251.8473895 1

12211.54
Appendix E-2e (i): Biomass Suspension/Grate CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Yes Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Yes Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 2 FLUSSugarCorp
UnitID Data Source Source Tab Pollutant

Data 

Type

Boiler No. 7 ICR Phase I Organic HAP and CO 010501 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 010501 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 010501 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 010506 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 010506 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 010506 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 010902 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 010902 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 010902 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 012408 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 012408 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 012408 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 012507 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 012507 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 012507 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 013100 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 013100 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 013100 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 020405 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 020405 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 020405 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 020899 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 020899 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 020899 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 111502 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 111502 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 111502 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 121799 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 121799 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 121799 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 123003 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 123003 CO ET

Boiler No. 7 ICR Phase I Organic HAP and CO 123003 CO ET

Boiler No. 7 ICR Phase I Organic HAP andCO 050305-050505 CO ET

Boiler No. 7 ICR Phase I Organic HAP andCO 050305-050505 CO ET

Boiler No. 7 ICR Phase I Organic HAP andCO 050305-050505 CO ET

Boiler No. 7 ICR Phase II - Voluntary Additional CO Data CO ET

Boiler No. 7 ICR Phase II - Voluntary Additional CO Data CO ET

Boiler No. 7 ICR Phase II - Voluntary Additional CO Data CO ET

Boiler No. 7 ICR Phase II - Voluntary Additional CO Data CO ET

Boiler No. 7 ICR Phase II - Voluntary Additional CO Data CO ET

Boiler No. 7 ICR Phase II - Voluntary Additional CO Data CO ET

Boiler No. 7 ICR Phase II - Voluntary Additional CO Data CO ET
Run Number Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

Sample #1 1/5/2001 181.4866004 5.201181824 0

Sample #2 1/5/2001 179.9699148 5.192789697 0

Sample #3 1/6/2001 179.5198399 5.190285731 0

Sample #1 1/5/2006 296.1497326 5.69086518 0

Sample #2 1/5/2006 341.1442623 5.832305444 0

Sample #3 1/5/2006 244.1911765 5.497951429 0

Sample #1 1/9/2002 422.4284717 6.046020135 0

Sample #2 1/9/2002 458.4625944 6.127878706 0

Sample #3 1/9/2002 836.0932145 6.728740108 0

Sample #1 1/24/2008 482.3492663 6.178668471 0

Sample #2 1/24/2008 468.398702 6.149319861 0

Sample #3 1/24/2008 638.5932203 6.459267664 0

Sample #1 1/25/2007 946.9137931 6.853208057 0

Sample #2 1/25/2007 307.026738 5.726934838 0

Sample #3 1/25/2007 147.0612245 4.990848993 0

Sample #1 1/31/2000 574.8129206 6.354044632 0

Sample #2 1/31/2000 816.4362018 6.704948773 0

Sample #3 1/31/2000 773.1491345 6.650471959 0

Sample #1 2/4/2005 194.7782101 5.271861527 0

Sample #2 2/4/2005 277.6941176 5.626520212 0

Sample #3 2/4/2005 140.9074074 4.94810299 0

Sample #1 2/8/1999 456.4842568 6.123554213 0

Sample #2 2/8/1999 493.8286479 6.20218859 0

Sample #3 2/8/1999 493.8286479 6.20218859 0

Sample #1 11/15/2002 543.7022161 6.2984017 0

Sample #2 11/15/2002 192.8629213 5.261979684 0

Sample #3 11/15/2002 193.4729709 5.265137817 0

Sample #1 12/17/1999 727.5 6.589613999 0

Sample #2 12/17/1999 168 5.123963979 0

Sample #3 12/17/1999 286.2223602 5.656768992 0

Sample #1 12/30/2003 1648.52459 7.407635979 0

Sample #2 12/30/2003 519.0321199 6.251965769 0

Sample #3 12/30/2003 478.6726768 6.171017017 0

Sample #1 5/3/2005 167.6207547 5.121704015 0

Sample #2 5/3/2005 286.8237624 5.658867959 0

Sample #3 5/5/2005 695.5813953 6.544748036 0

Sample #1 12/4/2008 370 5.913503006 0

Sample #1 11/20/2009 370 5.913503006 0

Sample #1 5/4/2005 681.307203 6.52401331 0

Sample #2 12/4/2008 370 5.913503006 0

Sample #2 11/20/2009 370 5.913503006 0

Sample #3 12/4/2008 370 5.913503006 0

Sample #3 11/20/2009 370 5.913503006 0
Appendix E-2e (ii): Biomass Suspension/Grat

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

YES

YES

Number of sources with 

test data 1 YES

n 43 YES

n-1 42 YES

YES

YES

YES

YES

YES

Average of natural log of 

test run values (μ) 5.937371719

Variance of natural log of 

test runs (σ2) 0.325986157

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 11.75981152

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.445590671

Flatness of z distribution 

(β2z) 28.39151198

Skewness of z distribution 

(√β1z) 1.213396066
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990818261 0.999288175 0.996041518

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 446.0204475

exp (2μ + σ2) 198934.2396

exp (σ2) - 1 0.38539619

(σ2/n) + [σ4/(2(n - 1))] 0.008846156

Square root term 495.8263051

Confidence Level 99% 99.9% 99.5%

UPL 1.02E+03 1.16E+03 1.07E+03

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 2.07E+00 1.51E-01

SE Skewness 0.37 0.37

Skewness Test non-normal normal

Kurtosis = 6.86E+00 -3.35E-01

SE Kurtosis 0.75 0.75

Kurtosis Test non-normal normal

Number of test runs = 43 43
ndix E-2e (ii): Biomass Suspension/Grate CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 010501

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 020405

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 010506

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 111502

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP andCO 050305-050505

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 121799

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase II - Voluntary Additional CO Data

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 012507

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 020899

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 012408

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 010902

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 013100

Suspension/Grate Wet Biomass 2 FLUSSugarCorp Boiler No. 7 ICR Phase I Organic HAP and CO 123003

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 180.3254517 5.194763283 3 2 ET /Bagasse/

CO 204.4599117 5.320371926 3 2 ET /Bagasse/

CO 293.8283905 5.682995891 3 2 ET /Bagasse/

CO 310.0127028 5.736613273 3 2 ET /Bagasse/

CO 383.3419708 5.948927465 3 2 ET /Bagasse/Wood: Unadulterated Lumber/

CO 393.9074534 5.976115992 3 2 ET /Bagasse/

CO 414.4724576 6.027006525 7 6 ET /Bagasse/

CO 467.0005852 6.146330511 3 2 ET /Bagasse/

CO 481.3805176 6.176658054 3 2 ET /Bagasse/

CO 529.7803962 6.272462574 3 2 ET /Bagasse/

CO 572.3280935 6.349712417 3 2 ET /Bagasse/

CO 721.4660856 6.581285372 3 2 ET /Bagasse/

CO 882.0764623 6.782278744 3 2 ET /Bagasse/
Appendix E-2e (iii): Biomass Suspension/Grate CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 28.391512 1.2133961

1.14409E-05 -5 =f(a) 484.46869

4.57333E-05 1 -4.899 440.42439

9.64672E-05 2 -4.798 399.29842

0.000170549 3 -4.697 360.96518

0.000277292 4 -4.596 325.30173

0.000429033 5 -4.495 292.18775

0.000641784 6 -4.394 261.50559

0.000935908 7 -4.293 233.14021

0.001336713 8 -4.192 206.97925

0.001874873 9 -4.091 182.91296

0.002586541 10 -3.99 160.83426

0.003512954 11 -3.889 140.63867

0.004699347 12 -3.788 122.22441

0.00619294 13 -3.687 105.49228

0.008039784 14 -3.586 90.345784

0.010280294 15 -3.485 76.69102

0.012943385 16 -3.384 64.436751

0.016039238 17 -3.283 53.494377

0.019550935 18 -3.182 43.777942

0.023425426 19 -3.081 35.20413

0.027564552 20 -2.98 27.692268

0.031817141 21 -2.879 21.164327

0.035973432 22 -2.778 15.544917

0.039763267 23 -2.677 10.761293

0.042859545 24 -2.576 6.7433521

0.044888297 25 -2.475 3.4236316

0.045446434 26 -2.374 0.7373128

0.046765259 27 -2.273 -1.377781

0.050337026 28 -2.172 -2.981185

0.056467291 29 -2.071 -4.129792

0.065347154 30 -1.97 -4.877851

0.077008774 31 -1.869 -5.276971

0.091284857 32 -1.768 -5.376116

0.107777148 33 -1.667 -5.221612

0.125839013 34 -1.566 -4.857138

0.144576729 35 -1.465 -4.323734

0.162872886 36 -1.364 -3.659797

0.179433547 37 -1.263 -2.90108

0.192858461 38 -1.162 -2.080697

0.201731048 39 -1.061 -1.229116

0.204722254 40 -0.96 -0.374166

0.208744397 41 -0.859 0.4589674

0.220609301 42 -0.758 1.2477419

0.24075287 43 -0.657 1.9722562

0.269151013 44 -0.556 2.6152517

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.305285908 45 -0.455 3.1621119

0.34815053 46 -0.354 3.6008626

0.396293372 47 -0.253 3.922172

0.447901277 48 -0.152 4.1193503

0.500914309 49 -0.051 4.1883501

0.553163155 50 0.05 4.1277663

0.602517023 51 0.151 3.9388359

0.647028835 52 0.252 3.6254384

0.685064746 53 0.353 3.1940951

0.71540666 54 0.454 2.6539701

0.737319339 55 0.555 2.0168694

0.750577368 56 0.656 1.2972413

0.755451396 57 0.757 0.5121764

0.758245766 58 0.858 -0.318592

0.767629627 59 0.959 -1.17269

0.782263664 60 1.06 -2.025099

0.800661706 61 1.161 -2.84816

0.821304214 62 1.262 -3.611572

0.842742061 63 1.363 -4.282389

0.863682862 64 1.464 -4.825026

0.883054665 65 1.565 -5.201254

0.900044562 66 1.666 -5.370202

0.914112447 67 1.767 -5.288357

0.924982423 68 1.868 -4.909564

0.932616054 69 1.969 -4.185025

0.937172643 70 2.07 -3.0633

0.938962067 71 2.171 -1.490308

0.939528754 72 2.272 0.5906764

0.941986483 73 2.373 3.2390197

0.945857689 74 2.474 6.5167305

0.950685989 75 2.575 10.48846

0.956060956 76 2.676 15.221502

0.961633973 77 2.777 20.785791

0.967125939 78 2.878 27.253906

0.972328137 79 2.979 34.701066

0.977097872 80 3.08 43.205135

0.981350532 81 3.181 52.846616

0.985049633 82 3.282 63.708656

0.988196166 83 3.383 75.877046

0.990818261 84 3.484 89.440215

0.992961896 85 3.585 104.48924

0.994683054 86 3.686 121.11783

0.996041518 87 3.787 139.42235

0.997096279 88 3.888 159.5018

0.997902413 89 3.989 181.45781

0.998509195 90 4.09 205.39469

0.998959209 91 4.191 231.41934

0.999288175 92 4.292 259.64135

0.999525289 93 4.393 290.17292

0.999693854 94 4.494 323.12891

0.999812075 95 4.595 358.62681

0.999893891 96 4.696 396.78677
0.999949776 97 4.797 437.73155

0.999987457 98 4.898 481.5866 1 99 4.999 528.47996
distribution of Z

Normal 

distribution

1.48672E-06 0.000720269

2.45094E-06 0.001079454

3.9995E-06 0.001596995

6.46025E-06 0.002331924

1.03291E-05 0.00336007

1.63472E-05 0.004776465

2.56093E-05 0.006696965

3.97118E-05 0.00925841

6.09553E-05 0.012616472

9.26132E-05 0.016940152

0.000139285 0.022401796

0.000207351 0.029161526

0.000305546 0.037345166

0.000445674 0.047015158

0.000643469 0.058134721

0.000919619 0.070526524

0.001300942 0.083828486

0.001821704 0.097450913

0.002525035 0.110540816

0.003464389 0.121960795

0.004704958 0.130290945

0.006324913 0.13386252

0.008416337 0.130831267

0.011085658 0.119296024

0.014453386 0.097464274

0.018652949 0.063860825

0.023828414 0.017568995

0.030130931 -0.041513833

0.03771375 -0.11243168

0.046725789 -0.192967785

0.057303789 -0.279519343

0.069563239 -0.367083164

0.083588399 -0.449380968

0.099421884 -0.519142494

0.117054396 -0.568549383

0.136415346 -0.589823718

0.157365126 -0.575924399

0.179689839 -0.521294655

0.203099244 -0.422587947

0.227228529 -0.279290281

0.251644341 -0.094156855

0.275855243 0.126608562

0.299326439 0.373482143

0.321498297 0.634077024

0.341807853 0.893913573



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 1.137450202

0.37471238 1.349287804

0.386376486 1.515435022

0.394360216 1.624507861

0.398423793 1.668738333

0.398443914 1.644683358

0.394419966 1.553555536

0.386474058 1.401137874

0.374844865 1.197290161

0.359875719 0.955099408

0.34199778 0.689764859

0.32170943 0.417334761

0.299553264 0.153424118

0.276092166 -0.087960871

0.25188591 -0.295384116

0.227469632 -0.460648599

0.203335281 -0.579131507

0.17991684 -0.649782565

0.157579839 -0.674818153

0.136615273 -0.659172207

0.117237788 -0.60978347

0.099587708 -0.534806085

0.083736272 -0.442827298

0.069693339 -0.342163902

0.05741676 -0.240290578

0.046822635 -0.1434318

0.037795734 -0.056327289

0.030199481 0.017838121

0.023885038 0.077364109

0.018699163 0.121857405

0.014490659 0.151984701

0.011115369 0.169192609

0.008439746 0.175426803

0.006343145 0.172875484

0.004718997 0.163754223

0.003475077 0.150141187

0.002533081 0.133864745

0.001827693 0.116439892

0.001305351 0.099046205

0.000922829 0.08253803

0.00064578 0.067477103

0.00044732 0.054178417

0.000306705 0.042761581

0.000208159 0.033201662

0.000139842 0.025375381

9.29928E-05 0.019100226

6.12113E-05 0.014165475

3.98826E-05 0.010355171

2.5722E-05 0.007463834

1.64209E-05 0.005306063

1.03767E-05 0.00372135

6.49066E-06 0.002575407
4.01874E-06 0.001759128

2.46298E-06 0.001186136

1.49417E-06 0.000789639
Absolute values

0.000720269 3.63736E-05

0.001079454 0.000109025

0.001596995 0.000161297

0.002331924 0.000235524

0.00336007 0.000339367

0.004776465 0.000482423

0.006696965 0.000676393

0.00925841 0.000935099

0.012616472 0.001274264

0.016940152 0.001710955

0.022401796 0.002262581

0.029161526 0.002945314

0.037345166 0.003771862

0.047015158 0.004748531

0.058134721 0.005871607

0.070526524 0.007123179

0.083828486 0.008466677

0.097450913 0.009842542

0.110540816 0.011164622

0.121960795 0.01231804

0.130290945 0.013159385

0.13386252 0.013520115

0.130831267 0.013213958

0.119296024 0.012048898

0.097464274 0.009843892

0.063860825 0.006449943

0.017568995 0.001774468

0.041513833 0.004192897

0.11243168 0.0113556

0.192967785 0.019489746

0.279519343 0.028231454

0.367083164 0.0370754

0.449380968 0.045387478

0.519142494 0.052433392

0.568549383 0.057423488

0.589823718 0.059572196

0.575924399 0.058168364

0.521294655 0.05265076

0.422587947 0.042681383

0.279290281 0.028208318

0.094156855 0.009509842

0.126608562 0.012787465

0.373482143 0.037721696

0.634077024 0.064041779

0.893913573 0.090285271



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
1.137450202 0.11488247

1.349287804 0.136278068

1.515435022 0.153058937

1.624507861 0.164075294

1.668738333 0.168542572

1.644683358 0.166113019

1.553555536 0.156909109

1.401137874 0.141514925

1.197290161 0.120926306

0.955099408 0.09646504

0.689764859 0.069666251

0.417334761 0.042150811

0.153424118 0.015495836

0.087960871 0.008884048

0.295384116 0.029833796

0.460648599 0.046525509

0.579131507 0.058492282

0.649782565 0.065628039

0.674818153 0.068156633

0.659172207 0.066576393

0.60978347 0.06158813

0.534806085 0.054015415

0.442827298 0.044725557

0.342163902 0.034558554

0.240290578 0.024269348

0.1434318 0.014486612

0.056327289 0.005689056

0.017838121 0.00180165

0.077364109 0.007813775

0.121857405 0.012307598

0.151984701 0.015350455

0.169192609 0.017088453

0.175426803 0.017718107

0.172875484 0.017460424

0.163754223 0.016539177

0.150141187 0.01516426

0.133864745 0.013520339

0.116439892 0.011760429

0.099046205 0.010003667

0.08253803 0.008336341

0.067477103 0.006815187

0.054178417 0.00547202

0.042761581 0.00431892

0.033201662 0.003353368

0.025375381 0.002562913

0.019100226 0.001929123

0.014165475 0.001430713

0.010355171 0.001045872

0.007463834 0.000753847

0.005306063 0.000535912

0.00372135 0.000375856

0.002575407 0.000260116
0.001759128 0.000177672

0.001186136 0.0001198

0.000789639 3.98768E-05
Cumulative normalization

3.63736E-05 1.14409E-05

0.000145398 4.57333E-05

0.000306695 9.64672E-05

0.000542219 0.000170549

0.000881586 0.000277292

0.001364009 0.000429033

0.002040403 0.000641784

0.002975502 0.000935908

0.004249766 0.001336713

0.005960721 0.001874873

0.008223303 0.002586541

0.011168617 0.003512954

0.014940479 0.004699347

0.01968901 0.00619294

0.025560616 0.008039784

0.032683795 0.010280294

0.041150472 0.012943385

0.050993015 0.016039238

0.062157637 0.019550935

0.074475677 0.023425426

0.087635063 0.027564552

0.101155177 0.031817141

0.114369135 0.035973432

0.126418034 0.039763267

0.136261926 0.042859545

0.142711869 0.044888297

0.144486337 0.045446434

0.148679235 0.046765259

0.160034834 0.050337026

0.179524581 0.056467291

0.207756034 0.065347154

0.244831434 0.077008774

0.290218911 0.091284857

0.342652303 0.107777148

0.400075791 0.125839013

0.459647987 0.144576729

0.517816351 0.162872886

0.570467111 0.179433547

0.613148494 0.192858461

0.641356812 0.201731048

0.650866654 0.204722254

0.663654119 0.208744397

0.701375816 0.220609301

0.765417595 0.24075287

0.855702866 0.269151013

2 ( ) ( )

i

f x f b



  



 
0.970585336 0.305285908

1.106863405 0.34815053

1.259922342 0.396293372

1.423997636 0.447901277

1.592540207 0.500914309

1.758653227 0.553163155

1.915562336 0.602517023

2.057077261 0.647028835

2.178003567 0.685064746

2.274468607 0.71540666

2.344134858 0.737319339

2.386285669 0.750577368

2.401781505 0.755451396

2.410665553 0.758245766

2.440499349 0.767629627

2.487024857 0.782263664

2.545517139 0.800661706

2.611145178 0.821304214

2.679301812 0.842742061

2.745878205 0.863682862

2.807466335 0.883054665

2.86148175 0.900044562

2.906207307 0.914112447

2.940765861 0.924982423

2.965035209 0.932616054

2.979521821 0.937172643

2.985210877 0.938962067

2.987012528 0.939528754

2.994826303 0.941986483

3.007133901 0.945857689

3.022484355 0.950685989

3.039572809 0.956060956

3.057290916 0.961633973

3.07475134 0.967125939

3.091290516 0.972328137

3.106454776 0.977097872

3.119975115 0.981350532

3.131735545 0.985049633

3.141739211 0.988196166

3.150075552 0.990818261

3.15689074 0.992961896

3.16236276 0.994683054

3.166681679 0.996041518

3.170035047 0.997096279

3.172597961 0.997902413

3.174527083 0.998509195

3.175957796 0.998959209

3.177003669 0.999288175

3.177757516 0.999525289

3.178293428 0.999693854

3.178669285 0.999812075

3.178929401 0.999893891
3.179107073 0.999949776

3.179226872 0.999987457

3.179266749 1

159.1930569
Appendix E-2f (i): Wet Biomass Stoker/Sloped Grate/Other CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Yes Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Yes Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Yes Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola

YES Wet BiomassStoker/SlopedGrate/Other no 1 MILPCSagola
UnitID Data Source Source Tab Pollutant

TOH-Wood ICR Phase I Organic HAP and CO-TOH Wood CO

TOH-Wood ICR Phase I Organic HAP and CO-TOH Wood CO

TOH-Wood ICR Phase I Organic HAP and CO-TOH Wood CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (1) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (1) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (1) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (2) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (2) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (2) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (2) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (2) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (2) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (3) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (3) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (3) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (4) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (4) CO

TOH-Wood ICR Phase II - Test Report Additional CO from Test Report (4) CO
Data 

Type Run Number Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

ET Sample #1 3/12/2008 51.80513113 3.947489201 0

ET Sample #2 3/12/2008 56.11860876 4.027467465 0

ET Sample #3 3/12/2008 95.95195355 4.563847582 0

ET Sample #1 3/30/2011 42.12676056 3.740683182 0

ET Sample #2 3/30/2011 93.46401407 4.537576486 0

ET Sample #3 3/30/2011 39.19155574 3.668461309 0

ET Sample #1 3/2/2005 644.9133708 6.469115999 0

ET Sample #2 3/2/2005 742.5140302 6.610041766 0

ET Sample #3 3/3/2005 318.5481495 5.763773639 0

ET Sample #4 3/3/2005 143.7443206 4.96803617 0

ET Sample #5 3/3/2005 204.3521758 5.319844857 0

ET Sample #6 3/3/2005 105.6446791 4.66008138 0

ET Sample #1 5/8/2002 54.08936968 3.990637673 0

ET Sample #2 5/8/2002 116.5354764 4.758195745 0

ET Sample #3 5/8/2002 283.1612823 5.646016637 0

ET Sample #1 4/4/2000 80.44889784 4.387622173 0

ET Sample #2 4/4/2000 197.1537619 5.283983941 0

ET Sample #3 4/4/2000 125.245675 4.830277208 0
Appendix E-2f (ii): Wet Biomass Stoker/Slope

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

YES

YES

Number of sources with 

test data 1

n 18

n-1 17

Average of natural log of 

test run values (μ) 4.842952912

Variance of natural log of 

test runs (σ2) 0.759083581

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 51.01998732

Denominator for 

calculation of flatness of z 

distribution (β2z) 3.873652803

Flatness of z distribution 

(β2z) 15.17102743

Skewness of z distribution 

(√β1z) 2.54567587
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990593145 0.999300673 0.996020872

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 185.3961158

exp (2μ + σ2) 34371.71975

exp (σ2) - 1 1.136317562

(σ2/n) + [σ4/(2(n - 1))] 0.059118601

Square root term 368.0484182

Confidence Level 99% 99.9% 99.5%

UPL 6.13E+02 7.12E+02 6.50E+02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 2.04E+00 6.33E-01

SE Skewness 0.58 0.58

Skewness Test non-normal normal

Kurtosis = 3.59E+00 -2.64E-01

SE Kurtosis 1.15 1.15

Kurtosis Test non-normal normal

Number of test runs = 18 18
ndix E-2f (ii): Wet Biomass Stoker/Sloped Grate/Other CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Stoker/SlopedGrate/Other Wet Biomass 1 MILPCSagola TOH-Wood ICR Phase II - Test ReportAdditional CO from Test Report (1)

Stoker/SlopedGrate/Other Wet Biomass 1 MILPCSagola TOH-Wood ICR Phase I Organic HAP and CO-TOH Wood

Stoker/SlopedGrate/Other Wet Biomass 1 MILPCSagola TOH-Wood ICR Phase II - Test ReportAdditional CO from Test Report (4)

Stoker/SlopedGrate/Other Wet Biomass 1 MILPCSagola TOH-Wood ICR Phase II - Test ReportAdditional CO from Test Report (3)

Stoker/SlopedGrate/Other Wet Biomass 1 MILPCSagola TOH-Wood ICR Phase II - Test ReportAdditional CO from Test Report (2)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 58.26077679 4.064929085 3 2 ET /Wood: Bark/

CO 67.95856448 4.218898174 3 2 ET /Wood: Bark/

CO 134.2827782 4.899947862 3 2 ET /Wood: Bark/

CO 151.2620428 5.019013715 3 2 ET /Wood: Bark/

CO 359.9527877 5.885972877 6 5 ET /Wood: Bark/
Appendix E-2f (iii): Wet Biomass Stoker/Sloped Grate/Other CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 15.171027 2.5456759

8.1806E-06 -5 =f(a) 196.73557

3.2578E-05 1 -4.899 177.9543

6.84796E-05 2 -4.798 160.47374

0.000120602 3 -4.697 144.23569

0.000195242 4 -4.596 129.18326

0.000300639 5 -4.495 115.2608

0.000447349 6 -4.394 102.41393

0.000648583 7 -4.293 90.58955

0.000920457 8 -4.192 79.735805

0.00128207 9 -4.091 69.802121

0.001755305 10 -3.99 60.739188

0.002364224 11 -3.889 52.498961

0.003133933 12 -3.788 45.034662

0.004088767 13 -3.687 38.300781

0.005249687 14 -3.586 32.253072

0.006630809 15 -3.485 26.848557

0.008235095 16 -3.384 22.045525

0.010049303 17 -3.283 17.80353

0.0120385 18 -3.182 14.083393

0.014140572 19 -3.081 10.847203

0.016261389 20 -2.98 8.0583133

0.018271449 21 -2.879 5.6813455

0.020004982 22 -2.778 3.6821867

0.021262548 23 -2.677 2.0279909

0.021818122 24 -2.576 0.6871785

0.022204768 25 -2.475 -0.370564

0.023769971 26 -2.374 -1.174282

0.026722468 27 -2.273 -1.751756

0.03121489 28 -2.172 -2.1295

0.037312084 29 -2.071 -2.33276

0.044958698 30 -1.97 -2.385518

0.053949249 31 -1.869 -2.310486

0.063904398 32 -1.768 -2.129112

0.074257401 33 -1.667 -1.861577

0.084254456 34 -1.566 -1.526796

0.092971933 35 -1.465 -1.142416

0.099352234 36 -1.364 -0.724819

0.102258282 37 -1.263 -0.289119

0.103971912 38 -1.162 0.1508362

0.111375376 39 -1.061 0.5824637

0.125373597 40 -0.96 0.9944488

0.146617645 41 -0.859 1.3767428

0.175426038 42 -0.758 1.7205635

0.211724494 43 -0.657 2.0183954

0.255011708 44 -0.556 2.2639892

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.304356697 45 -0.455 2.4523625

0.358430532 46 -0.354 2.5797991

0.415571902 47 -0.253 2.6438495

0.473882545 48 -0.152 2.6433307

0.531345288 49 -0.051 2.5783261

0.585954947 50 0.05 2.4501858

0.635850724 51 0.151 2.2615264

0.679438414 52 0.252 2.0162309

0.715491635 53 0.353 1.7194489

0.743223418 54 0.454 1.3775964

0.762322481 55 0.555 0.9983562

0.772952092 56 0.656 0.5906774

0.775713116 57 0.757 0.1647756

0.779850029 58 0.858 -0.267867

0.789635468 59 0.959 -0.694502

0.803646125 60 1.06 -1.101113

0.820393528 61 1.161 -1.472419

0.838427116 62 1.262 -1.791872

0.856423563 63 1.363 -2.041657

0.873256368 64 1.464 -2.202693

0.888042223 65 1.565 -2.254632

0.900163255 66 1.666 -2.175858

0.909266574 67 1.767 -1.943493

0.915244443 68 1.868 -1.533387

0.918199664 69 1.969 -0.920128

0.918401427 70 2.07 -0.077034

0.920566031 71 2.171 1.0238412

0.924640097 72 2.272 2.4117111

0.930140771 73 2.373 4.1170558

0.936596194 74 2.474 6.1716219

0.943573937 75 2.575 8.6084225

0.950700458 76 2.676 11.461737

0.95767199 77 2.777 14.767112

0.964257928 78 2.878 18.561359

0.970298215 79 2.979 22.882559

0.975696359 80 3.08 27.770056

0.980409742 81 3.181 33.264463

0.984438649 82 3.282 39.407659

0.987815211 83 3.383 46.242788

0.990593145 84 3.484 53.814263

0.992838853 85 3.585 62.167762

0.994624176 86 3.686 71.350229

0.996020872 87 3.787 81.409877

0.997096721 88 3.888 92.396182

0.997913066 89 3.989 104.35989

0.998523511 90 4.09 117.35301

0.998973525 91 4.191 131.42882

0.999300673 92 4.292 146.64187

0.999535271 93 4.393 163.04796

0.999701255 94 4.494 180.70417

0.999817152 95 4.595 199.66885

0.999897028 96 4.696 220.0016
0.999951376 97 4.797 241.76331

0.999987888 98 4.898 265.01611 1 99 4.999 289.82342
distribution of Z

Normal 

distribution

1.48672E-06 0.000292491

2.45094E-06 0.000436155

3.9995E-06 0.000641815

6.46025E-06 0.000931798

1.03291E-05 0.001334345

1.63472E-05 0.001884197

2.56093E-05 0.002622745

3.97118E-05 0.003597471

6.09553E-05 0.004860316

9.26132E-05 0.006464597

0.000139285 0.008460056

0.000207351 0.010885696

0.000305546 0.013760157

0.000445674 0.017069658

0.000643469 0.020753855

0.000919619 0.024690445

0.001300942 0.028679953

0.001821704 0.032432758

0.002525035 0.035561054

0.003464389 0.037578929

0.004704958 0.037914022

0.006324913 0.035934015

0.008416337 0.030990526

0.011085658 0.022481614

0.014453386 0.009932056

0.018652949 -0.006912103

0.023828414 -0.027981272

0.030130931 -0.052782039

0.03771375 -0.080311425

0.046725789 -0.109000063

0.057303789 -0.136699193

0.069563239 -0.160724866

0.083588399 -0.177969066

0.099421884 -0.185081536

0.117054396 -0.178718213

0.136415346 -0.155843111

0.157365126 -0.114061198

0.179689839 -0.051951665

0.203099244 0.030634716

0.227228529 0.13235237

0.251644341 0.250247411

0.275855243 0.379781714

0.299326439 0.51501015

0.321498297 0.648910672

0.341807853 0.773849293



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 0.882144682

0.37471238 0.966682653

0.386376486 1.02152127

0.394360216 1.042424448

0.398423793 1.027266466

0.398443914 0.976261638

0.394419966 0.891991175

0.386474058 0.779220938

0.374844865 0.644526577

0.359875719 0.495763503

0.34199778 0.341435608

0.32170943 0.190026481

0.299553264 0.049359066

0.276092166 -0.073955964

0.25188591 -0.174935144

0.227469632 -0.250469739

0.203335281 -0.299394783

0.17991684 -0.322388018

0.157579839 -0.321724054

0.136615273 -0.300921524

0.117237788 -0.264328019

0.099587708 -0.216688753

0.083736272 -0.162740837

0.069693339 -0.106866869

0.05741676 -0.05283075

0.046822635 -0.00360693

0.037795734 0.03869683

0.030199481 0.072832424

0.023885038 0.098336036

0.018699163 0.115404163

0.014490659 0.124741717

0.011115369 0.127401438

0.008439746 0.124630678

0.006343145 0.1177374

0.004718997 0.107982724

0.003475077 0.096503094

0.002533081 0.084261571

0.001827693 0.072025119

0.001305351 0.060363086

0.000922829 0.049661366

0.00064578 0.040146723

0.00044732 0.031916378

0.000306705 0.024968845

0.000208159 0.019233055

0.000139842 0.014593871

9.29928E-05 0.010912985

6.12113E-05 0.008044927

3.98826E-05 0.005848458

2.5722E-05 0.004193923

1.64209E-05 0.002967322

1.03767E-05 0.002071897

6.49066E-06 0.001427955
4.01874E-06 0.000971583

2.46298E-06 0.000652728

1.49417E-06 0.000433046
Absolute values

0.000292491 1.47708E-05

0.000436155 4.40517E-05

0.000641815 6.48233E-05

0.000931798 9.41116E-05

0.001334345 0.000134769

0.001884197 0.000190304

0.002622745 0.000264897

0.003597471 0.000363345

0.004860316 0.000490892

0.006464597 0.000652924

0.008460056 0.000854466

0.010885696 0.001099455

0.013760157 0.001389776

0.017069658 0.001724036

0.020753855 0.002096139

0.024690445 0.002493735

0.028679953 0.002896675

0.032432758 0.003275709

0.035561054 0.003591666

0.037578929 0.003795472

0.037914022 0.003829316

0.035934015 0.003629335

0.030990526 0.003130043

0.022481614 0.002270643

0.009932056 0.001003138

0.006912103 0.000698122

0.027981272 0.002826108

0.052782039 0.005330986

0.080311425 0.008111454

0.109000063 0.011009006

0.136699193 0.013806619

0.160724866 0.016233211

0.177969066 0.017974876

0.185081536 0.018693235

0.178718213 0.01805054

0.155843111 0.015740154

0.114061198 0.011520181

0.051951665 0.005247118

0.030634716 0.003094106

0.13235237 0.013367589

0.250247411 0.025274988

0.379781714 0.038357953

0.51501015 0.052016025

0.648910672 0.065539978

0.773849293 0.078158779



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
0.882144682 0.089096613

0.966682653 0.097634948

1.02152127 0.103173648

1.042424448 0.105284869

1.027266466 0.103753913

0.976261638 0.098602425

0.891991175 0.090091109

0.779220938 0.078701315

0.644526577 0.065097184

0.495763503 0.050072114

0.341435608 0.034484996

0.190026481 0.019192675

0.049359066 0.004985266

0.073955964 0.007469552

0.174935144 0.01766845

0.250469739 0.025297444

0.299394783 0.030238873

0.322388018 0.03256119

0.321724054 0.032494129

0.300921524 0.030393074

0.264328019 0.02669713

0.216688753 0.021885564

0.162740837 0.016436825

0.106866869 0.010793554

0.05283075 0.005335906

0.00360693 0.0003643

0.03869683 0.00390838

0.072832424 0.007356075

0.098336036 0.00993194

0.115404163 0.01165582

0.124741717 0.012598913

0.127401438 0.012867545

0.124630678 0.012587698

0.1177374 0.011891477

0.107982724 0.010906255

0.096503094 0.009746812

0.084261571 0.008510419

0.072025119 0.007274537

0.060363086 0.006096672

0.049661366 0.005015798

0.040146723 0.004054819

0.031916378 0.003223554

0.024968845 0.002521853

0.019233055 0.001942539

0.014593871 0.001473981

0.010912985 0.001102211

0.008044927 0.000812538

0.005848458 0.000590694

0.004193923 0.000423586

0.002967322 0.0002997

0.002071897 0.000209262

0.001427955 0.000144223
0.000971583 9.81299E-05

0.000652728 6.59255E-05

0.000433046 2.18688E-05
Cumulative normalization

1.47708E-05 8.1806E-06

5.88225E-05 3.2578E-05

0.000123646 6.84796E-05

0.000217757 0.000120602

0.000352526 0.000195242

0.00054283 0.000300639

0.000807727 0.000447349

0.001171072 0.000648583

0.001661964 0.000920457

0.002314888 0.00128207

0.003169354 0.001755305

0.004268809 0.002364224

0.005658585 0.003133933

0.00738262 0.004088767

0.00947876 0.005249687

0.011972495 0.006630809

0.01486917 0.008235095

0.018144879 0.010049303

0.021736545 0.0120385

0.025532017 0.014140572

0.029361333 0.016261389

0.032990669 0.018271449

0.036120712 0.020004982

0.038391355 0.021262548

0.039394492 0.021818122

0.040092615 0.022204768

0.042918723 0.023769971

0.048249709 0.026722468

0.056361163 0.03121489

0.067370169 0.037312084

0.081176788 0.044958698

0.097409999 0.053949249

0.115384875 0.063904398

0.13407811 0.074257401

0.15212865 0.084254456

0.167868804 0.092971933

0.179388985 0.099352234

0.184636103 0.102258282

0.187730209 0.103971912

0.201097799 0.111375376

0.226372787 0.125373597

0.26473074 0.146617645

0.316746766 0.175426038

0.382286744 0.211724494

0.460445522 0.255011708

2 ( ) ( )

i

f x f b



  



 
0.549542135 0.304356697

0.647177083 0.358430532

0.750350731 0.415571902

0.8556356 0.473882545

0.959389513 0.531345288

1.057991939 0.585954947

1.148083048 0.635850724

1.226784362 0.679438414

1.291881547 0.715491635

1.34195366 0.743223418

1.376438657 0.762322481

1.395631331 0.772952092

1.400616597 0.775713116

1.408086149 0.779850029

1.425754599 0.789635468

1.451052043 0.803646125

1.481290916 0.820393528

1.513852106 0.838427116

1.546346235 0.856423563

1.576739309 0.873256368

1.603436439 0.888042223

1.625322003 0.900163255

1.641758828 0.909266574

1.652552381 0.915244443

1.657888287 0.918199664

1.658252587 0.918401427

1.662160967 0.920566031

1.669517042 0.924640097

1.679448981 0.930140771

1.691104802 0.936596194

1.703703715 0.943573937

1.71657126 0.950700458

1.729158959 0.95767199

1.741050436 0.964257928

1.751956691 0.970298215

1.761703504 0.975696359

1.770213922 0.980409742

1.777488459 0.984438649

1.783585131 0.987815211

1.788600929 0.990593145

1.792655748 0.992838853

1.795879302 0.994624176

1.798401156 0.996020872

1.800343694 0.997096721

1.801817675 0.997913066

1.802919887 0.998523511

1.803732424 0.998973525

1.804323118 0.999300673

1.804746705 0.999535271

1.805046404 0.999701255

1.805255666 0.999817152

1.805399889 0.999897028
1.805498019 0.999951376

1.805563945 0.999987888

1.805585814 1

89.21945539
Appendix E-2g (i): Dry Biomass Stoker/Sloped Grate/Other CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Dry BiomassStoker/SlopedGrate/Other no 1 WVAmericanWoodmark

YES Yes Dry BiomassStoker/SlopedGrate/Other no 1 WVAmericanWoodmark

YES Yes Dry BiomassStoker/SlopedGrate/Other no 1 WVAmericanWoodmark
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

B1 ICR Phase II - Voluntary Additional CO from Test Report CO ET Sample #1

B1 ICR Phase II - Voluntary Additional CO from Test Report CO ET Sample #2

B1 ICR Phase II - Voluntary Additional CO from Test Report CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

3/23/2005 292.6973983 5.679139305 0

3/23/2005 200.7246099 5.301933869 0

3/23/2005 311.3516053 5.740922837 0
Appendix E-2g (ii): Dry Biomass Stoker/Slope

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) 5.57399867

Variance of natural log of 

test runs (σ2) 0.056468743

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.981307299

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.010124579

Flatness of z distribution 

(β2z) 395.2318932

Skewness of z distribution 

(√β1z) 0.425553401
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990813287 0.999274895 0.99600586

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 271.0309557

exp (2μ + σ2) 73457.77894

exp (σ2) - 1 0.058093542

(σ2/n) + [σ4/(2(n - 1))] 0.019620094

Square root term 160.5412862

Confidence Level 99% 99.9% 99.5%

UPL 4.57E+02 5.01E+02 4.74E+02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -1.54E+00 -1.60E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-2g (ii): Dry Biomass Stoker/Sloped Grate/Other CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Stoker/SlopedGrate/Other Dry Biomass 1 WVAmericanWoodmarkB1 ICR Phase II - Voluntary Additional CO from Test Report

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 2.68E+02 5.59E+00 3.00E+00 ####### ET /Biomass/
Appendix E-2g (iii): Dry Biomass Stoker/Sloped Grate/Other CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 395.23189 0.4255534

1.27852E-05 -5 =f(a) 7805.1501

5.11473E-05 1 -4.899 7103.0442

0.000107965 2 -4.798 6446.9342

0.000191028 3 -4.697 5834.8611

0.000310862 4 -4.596 5264.9069

0.000481434 5 -4.495 4735.1942

0.000720924 6 -4.394 4243.8865

0.001052506 7 -4.293 3789.1882

0.001505073 8 -4.192 3369.3445

0.002113768 9 -4.091 2982.6413

0.002920181 10 -3.99 2627.4054

0.003971992 11 -3.889 2302.0044

0.005321836 12 -3.788 2004.8468

0.007025124 13 -3.687 1734.3817

0.009136558 14 -3.586 1489.0992

0.011705133 15 -3.485 1267.5303

0.014767489 16 -3.384 1068.2465

0.018339606 17 -3.283 889.86038

0.022407089 18 -3.182 731.02525

0.026914478 19 -3.081 590.43525

0.031754376 20 -2.98 466.8253

0.036757488 21 -2.879 358.97118

0.041684953 22 -2.778 265.68947

0.046224589 23 -2.677 185.83755

0.049992759 24 -2.576 118.31364

0.052543479 25 -2.475 62.056764

0.053386054 26 -2.374 16.046761

0.054760156 27 -2.273 -20.69571

0.058841362 28 -2.172 -49.10918

0.066058204 29 -2.071 -70.09136

0.076728138 30 -1.97 -84.49914

0.091006626 31 -1.869 -93.1486

0.108839232 32 -1.768 -96.81501

0.129922178 33 -1.667 -96.23282

0.153677064 34 -1.566 -92.09565

0.179245017 35 -1.465 -85.05633

0.2055044 36 -1.364 -75.72686

0.231114362 37 -1.263 -64.67841

0.254584105 38 -1.162 -52.44136

0.274364909 39 -1.061 -39.50527

0.28895911 40 -0.96 -26.31886

0.297037678 41 -0.859 -13.29006

0.297556105 42 -0.758 -0.785988

0.30525481 43 -0.657 10.867082

0.321360909 44 -0.556 21.38367

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.345551875 45 -0.455 30.519117

0.376986063 46 -0.354 38.069582

0.414338985 47 -0.253 43.872037

0.455880841 48 -0.152 47.804272

0.499589644 49 -0.051 49.784891

0.543290489 50 0.05 49.773314

0.58480866 51 0.151 47.769778

0.622122726 52 0.252 43.815336

0.653503825 53 0.353 37.991855

0.677628788 54 0.454 30.422018

0.693657666 55 0.555 21.269327

0.701269988 56 0.656 10.738096

0.701881586 57 0.757 -0.926544

0.710057488 58 0.858 -13.43865

0.724750392 59 0.959 -26.47145

0.744628424 60 1.06 -39.65737

0.768191153 61 1.161 -52.58801

0.793887293 62 1.262 -64.81417

0.820223815 63 1.363 -75.84582

0.845858077 64 1.464 -85.15212

0.869667168 65 1.565 -92.16141

0.890791509 66 1.666 -96.26121

0.908652567 67 1.767 -96.79824

0.922946978 68 1.868 -93.0784

0.933621196 69 1.969 -84.36675

0.94083197 70 2.07 -69.88757

0.944898321 71 2.171 -48.8243

0.946250518 72 2.272 -20.31957

0.947120256 73 2.373 16.524803

0.949701649 74 2.474 62.647813

0.953502388 75 2.575 119.02928

0.958075066 76 2.676 186.68984

0.963034861 77 2.777 266.69093

0.96806866 78 2.878 360.13482

0.972936926 79 2.979 468.16459

0.977469929 80 3.08 591.96413

0.981560046 81 3.181 732.75815

0.985151769 82 3.282 891.81219

0.988230792 83 3.383 1070.4326

0.990813287 84 3.484 1269.9665

0.992936151 85 3.585 1491.8019

0.994648672 86 3.686 1737.3675

0.99600586 87 3.787 2008.133

0.997063423 88 3.888 2305.6089

0.997874273 89 3.989 2631.3463

0.998486344 90 4.09 2986.9372

0.998941442 91 4.191 3374.0146

0.999274895 92 4.292 3794.2522

0.99951575 93 4.393 4249.3644

0.999687305 94 4.494 4741.1066

0.999807836 95 4.595 5271.2748

0.999891387 96 4.696 5841.7062
0.999948544 97 4.797 6454.2783

0.999987137 98 4.898 7110.9097 1 99 4.999 7813.56
distribution of Z

Normal 

distribution

1.48672E-06 0.011604069

2.45094E-06 0.017409133

3.9995E-06 0.025784531

6.46025E-06 0.037694643

1.03291E-05 0.054381688

1.63472E-05 0.07740739

2.56093E-05 0.108682794

3.97118E-05 0.150475356

6.09553E-05 0.205379242

9.26132E-05 0.276231909

0.000139285 0.365958095

0.000207351 0.477322204

0.000305546 0.612572713

0.000445674 0.772968653

0.000643469 0.95818936

0.000919619 1.165645008

0.001300942 1.389726906

0.001821704 1.621062081

0.002525035 1.845864023

0.003464389 2.045497296

0.004704958 2.196393216

0.006324913 2.270461425

0.008416337 2.23613221

0.011085658 2.06013163

0.014453386 1.710032787

0.018652949 1.157541645

0.023828414 0.38236886

0.030130931 -0.623581073

0.03771375 -1.852091389

0.046725789 -3.275074059

0.057303789 -4.842120843

0.069563239 -6.479718498

0.083588399 -8.092612055

0.099421884 -9.567648266

0.117054396 -10.78020116

0.136415346 -11.60298904

0.157365126 -11.91676617

0.179689839 -11.62205284

0.203099244 -10.65080074

0.227228529 -8.97672328

0.251644341 -6.622991997

0.275855243 -3.666134068

0.299326439 -0.235266934

0.321498297 3.493748281

0.341807853 7.309106215



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 10.97809862

0.37471238 14.26514379

0.386376486 16.95112367

0.394360216 18.85210305

0.398423793 19.83548497

0.398443914 19.831874

0.394419966 18.8413543

0.386474058 16.93349062

0.374844865 14.24105157

0.359875719 10.94814574

0.34199778 7.274062608

0.32170943 3.454546626

0.299553264 -0.277549378

0.276092166 -3.71030486

0.25188591 -6.667784314

0.227469632 -9.020846611

0.203335281 -10.69299831

0.17991684 -11.66116139

0.157579839 -11.95177285

0.136615273 -11.63308043

0.117237788 -10.80479983

0.099587708 -9.586433682

0.083736272 -8.105524164

0.069693339 -6.486944248

0.05741676 -4.844065413

0.046822635 -3.272320045

0.037795734 -1.845350085

0.030199481 -0.613640374

0.023885038 0.394695545

0.018699163 1.171461651

0.014490659 1.724812735

0.011115369 2.075126421

0.008439746 2.250803766

0.006343145 2.284387473

0.004718997 2.209267214

0.003475077 2.057121152

0.002533081 1.856135567

0.001827693 1.62995927

0.001305351 1.397290619

0.000922829 1.171961976

0.00064578 0.963376415

0.00044732 0.777159081

0.000306705 0.615905154

0.000208159 0.47993219

0.000139842 0.367972101

9.29928E-05 0.277763642

6.12113E-05 0.206527763

3.98826E-05 0.151324626

2.5722E-05 0.109302246

1.64209E-05 0.077853168

1.03767E-05 0.054698253

6.49066E-06 0.037916521
4.01874E-06 0.025938043

2.46298E-06 0.017513994

1.49417E-06 0.011674795
Absolute values

0.011604069 0.000586005

0.017409133 0.001758322

0.025784531 0.002604238

0.037694643 0.003807159

0.054381688 0.005492551

0.07740739 0.007818146

0.108682794 0.010976962

0.150475356 0.015198011

0.205379242 0.020743303

0.276231909 0.027899423

0.365958095 0.036961768

0.477322204 0.048209543

0.612572713 0.061869844

0.772968653 0.078069834

0.95818936 0.096777125

1.165645008 0.117730146

1.389726906 0.140362417

1.621062081 0.16372727

1.845864023 0.186432266

2.045497296 0.206595227

2.196393216 0.221835715

2.270461425 0.229316604

2.23613221 0.225849353

2.06013163 0.208073295

1.710032787 0.172713311

1.157541645 0.116911706

0.38236886 0.038619255

0.623581073 0.062981688

1.852091389 0.18706123

3.275074059 0.33078248

4.842120843 0.489054205

6.479718498 0.654451568

8.092612055 0.817353818

9.567648266 0.966332475

10.78020116 1.088800317

11.60298904 1.171901893

11.91676617 1.203593383

11.62205284 1.173827337

10.65080074 1.075730874

8.97672328 0.906649051

6.622991997 0.668922192

3.666134068 0.370279541

0.235266934 0.02376196

3.493748281 0.352868576

7.309106215 0.738219728



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
10.97809862 1.10878796

14.26514379 1.440779522

16.95112367 1.71206349

18.85210305 1.904062408

19.83548497 2.003383982

19.831874 2.003019274

18.8413543 1.902976785

16.93349062 1.710282552

14.24105157 1.438346209

10.94814574 1.10576272

7.274062608 0.734680323

3.454546626 0.348909209

0.277549378 0.028032487

3.71030486 0.374740791

6.667784314 0.673446216

9.020846611 0.911105508

10.69299831 1.07999283

11.66116139 1.1777773

11.95177285 1.207129058

11.63308043 1.174941123

10.80479983 1.091284783

9.586433682 0.968229802

8.105524164 0.818657941

6.486944248 0.655181369

4.844065413 0.489250607

3.272320045 0.330504325

1.845350085 0.186380359

0.613640374 0.061977678

0.394695545 0.03986425

1.171461651 0.118317627

1.724812735 0.174206086

2.075126421 0.209587769

2.250803766 0.22733118

2.284387473 0.230723135

2.209267214 0.223135989

2.057121152 0.207769236

1.856135567 0.187469692

1.62995927 0.164625886

1.397290619 0.141126352

1.171961976 0.11836816

0.963376415 0.097301018

0.777159081 0.078493067

0.615905154 0.062206421

0.47993219 0.048473151

0.367972101 0.037165182

0.277763642 0.028054128

0.206527763 0.020859304

0.151324626 0.015283787

0.109302246 0.011039527

0.077853168 0.00786317

0.054698253 0.005524524

0.037916521 0.003829569
0.025938043 0.002619742

0.017513994 0.001768913

0.011674795 0.000589577
Cumulative normalization

0.000586005 1.27852E-05

0.002344328 5.11473E-05

0.004948566 0.000107965

0.008755725 0.000191028

0.014248275 0.000310862

0.022066421 0.000481434

0.033043384 0.000720924

0.048241395 0.001052506

0.068984698 0.001505073

0.096884121 0.002113768

0.133845889 0.002920181

0.182055431 0.003971992

0.243925275 0.005321836

0.321995109 0.007025124

0.418772234 0.009136558

0.53650238 0.011705133

0.676864798 0.014767489

0.840592068 0.018339606

1.027024334 0.022407089

1.233619561 0.026914478

1.455455276 0.031754376

1.68477188 0.036757488

1.910621233 0.041684953

2.118694528 0.046224589

2.291407839 0.049992759

2.408319545 0.052543479

2.4469388 0.053386054

2.509920488 0.054760156

2.696981719 0.058841362

3.027764199 0.066058204

3.516818404 0.076728138

4.171269972 0.091006626

4.98862379 0.108839232

5.954956265 0.129922178

7.043756582 0.153677064

8.215658474 0.179245017

9.419251858 0.2055044

10.59307919 0.231114362

11.66881007 0.254584105

12.57545912 0.274364909

13.24438131 0.28895911

13.61466085 0.297037678

13.63842281 0.297556105

13.99129139 0.30525481

14.72951112 0.321360909

2 ( ) ( )

i

f x f b



  



 
15.83829908 0.345551875

17.2790786 0.376986063

18.99114209 0.414338985

20.8952045 0.455880841

22.89858848 0.499589644

24.90160775 0.543290489

26.80458454 0.58480866

28.51486709 0.622122726

29.9532133 0.653503825

31.05897602 0.677628788

31.79365634 0.693657666

32.14256555 0.701269988

32.17059804 0.701881586

32.54533883 0.710057488

33.21878505 0.724750392

34.12989055 0.744628424

35.20988338 0.768191153

36.38766068 0.793887293

37.59478974 0.820223815

38.76973087 0.845858077

39.86101565 0.869667168

40.82924545 0.890791509

41.64790339 0.908652567

42.30308476 0.922946978

42.79233537 0.933621196

43.12283969 0.94083197

43.30922005 0.944898321

43.37119773 0.946250518

43.41106198 0.947120256

43.5293796 0.949701649

43.70358569 0.953502388

43.91317346 0.958075066

44.14050464 0.963034861

44.37122777 0.96806866

44.59436376 0.972936926

44.802133 0.977469929

44.98960269 0.981560046

45.15422858 0.985151769

45.29535493 0.988230792

45.41372309 0.990813287

45.51102411 0.992936151

45.58951717 0.994648672

45.6517236 0.99600586

45.70019675 0.997063423

45.73736193 0.997874273

45.76541606 0.998486344

45.78627536 0.998941442

45.80155915 0.999274895

45.81259867 0.99951575

45.82046184 0.999687305

45.82598637 0.999807836

45.82981594 0.999891387
45.83243568 0.999948544

45.83420459 0.999987137

45.83479417 1

2313.81914
Appendix E-3a (i): Coal Fluidized Bed CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Coal FB no 1 IAADMCornProcessingCR

YES Yes Coal FB no 1 IAADMCornProcessingCR

YES Yes Coal FB no 1 IAADMCornProcessingCR
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

EU-530 ICR Phase I Organic HAP and CO CO ET Sample #1

EU-530 ICR Phase I Organic HAP and CO CO ET Sample #2

EU-530 ICR Phase I Organic HAP and CO CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

11/20/2002 5.080334675 1.62537714 0

11/20/2002 7.384818806 1.99942638 0

11/20/2002 14.20435018 2.653548268 0
Appendix E-3a (ii): Coal Fluidized Bed CO Tes

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) 2.09278393

Variance of natural log of 

test runs (σ2) 0.270820691

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 9.617738158

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.290237585

Flatness of z distribution 

(β2z) 35.13746614

Skewness of z distribution 

(√β1z) 1.06613425
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990818043 0.999284555 0.996032126

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 9.283088234

exp (2μ + σ2) 86.17572715

exp (σ2) - 1 0.311039968

(σ2/n) + [σ4/(2(n - 1))] 0.108609525

Square root term 12.83151705

Confidence Level 99% 99.9% 99.5%

UPL 2.42E+01 2.76E+01 2.55E+01

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.28E+00 7.81E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-3a (ii): Coal Fluidized Bed CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

FB Coal 1 IAADMCornProcessingCREU-530 ICR Phase I Organic HAP and CO

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 8.889834554 2.184908439 3 2 ET /Coal: Bituminous/Coal: Sub-bituminous/
Appendix E-3a (iii): Coal Fluidized Bed CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 35.137466 1.0661342

1.18352E-05 -5 =f(a) 621.52541

4.73223E-05 1 -4.899 565.22223

9.98435E-05 2 -4.798 512.63618

0.000176565 3 -4.697 463.60782

0.000287161 4 -4.596 417.98105

0.000444448 5 -4.495 375.60311

0.000665083 6 -4.394 336.32459

0.000970264 7 -4.293 299.99944

0.001386369 8 -4.192 266.48492

0.00194541 9 -4.091 235.64167

0.002685173 10 -3.99 207.33366

0.003648844 11 -3.889 181.42819

0.004883912 12 -3.788 157.79592

0.006440116 13 -3.687 136.31085

0.008366205 14 -3.586 116.85033

0.010705334 15 -3.485 99.295049

0.013488981 16 -3.384 83.529037

0.016729423 17 -3.283 69.439674

0.020410994 18 -3.182 56.917681

0.024480598 19 -3.081 45.857125

0.028838202 20 -2.98 36.155416

0.03332836 21 -2.879 27.713309

0.037734055 22 -2.778 20.434903

0.04177435 23 -2.677 14.227641

0.045107404 24 -2.576 9.0023113

0.047340288 25 -2.475 4.6730446

0.048046714 26 -2.374 1.1573172

0.049300232 27 -2.273 -1.624051

0.052920077 28 -2.172 -3.746895

0.059244399 29 -2.071 -5.283706

0.06849762 30 -1.97 -6.303632

0.080744112 31 -1.869 -6.872476

0.095845603 32 -1.768 -7.052695

0.113427431 33 -1.667 -6.903405

0.132858943 34 -1.566 -6.480375

0.153252812 35 -1.465 -5.836032

0.173486916 36 -1.364 -5.019458

0.192250586 37 -1.263 -4.076388

0.208114688 38 -1.162 -3.049218

0.219622353 39 -1.061 -1.976995

0.225394473 40 -0.96 -0.895425

0.22654723 41 -0.859 0.1631315

0.235515799 42 -0.758 1.1696593

0.252798172 43 -0.657 2.0984857

0.278429166 44 -0.556 2.927283

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.311943088 45 -0.455 3.6370677

0.352375139 46 -0.354 4.2122005

0.398303773 47 -0.253 4.6403863

0.447932114 48 -0.152 4.9126742

0.499202517 49 -0.051 5.0234578

0.549934724 50 0.05 4.9704746

0.597975547 51 0.151 4.7548065

0.64134664 52 0.252 4.3808796

0.678377141 53 0.353 3.8564643

0.707809562 54 0.454 3.1926753

0.728870187 55 0.555 2.4039712

0.741298968 56 0.656 1.5081552

0.745338098 57 0.757 0.5263747

0.748993722 58 0.858 -0.516879

0.759277393 59 0.959 -1.59377

0.774853547 60 1.06 -2.673118

0.794232082 61 1.161 -3.720399

0.81588318 62 1.262 -4.697745

0.838342775 63 1.363 -5.563942

0.860300761 64 1.464 -6.274434

0.880666517 65 1.565 -6.78132

0.898609179 66 1.666 -7.033353

0.913572755 67 1.767 -6.975946

0.925268512 68 1.868 -6.551162

0.933648799 69 1.969 -5.697725

0.93886753 70 2.07 -4.351012

0.941232878 71 2.171 -2.443057

0.941308267 72 2.272 0.0974526

0.943355008 73 2.373 3.3451705

0.94688916 74 2.474 7.3780964

0.951446584 75 2.575 12.277574

0.956608363 76 2.676 18.128291

0.96201722 77 2.777 25.018279

0.967385673 78 2.878 33.038916

0.972497238 79 2.979 42.28492

0.977202286 80 3.08 52.854358

0.981410216 81 3.181 64.848637

0.985079538 82 3.282 78.372513

0.988207173 83 3.383 93.534081

0.990818043 84 3.484 110.44478

0.992955667 85 3.585 129.21941

0.994674204 86 3.686 149.97608

0.996032126 87 3.787 172.83628

0.997087517 88 3.888 197.92482

0.997894847 89 3.989 225.36987

0.998503016 90 4.09 255.30293

0.998954383 91 4.191 287.85886

0.999284555 92 4.292 323.17585

0.999522681 93 4.393 361.39544

0.999692059 94 4.494 402.66252

0.999810911 95 4.595 447.12531

0.999893202 96 4.696 494.93538
0.999949436 97 4.797 546.24766

0.999987369 98 4.898 601.2204 1 99 4.999 660.01521
distribution of Z

Normal 

distribution

1.48672E-06 0.000924034

2.45094E-06 0.001385326

3.9995E-06 0.00205029

6.46025E-06 0.002995021

1.03291E-05 0.004317363

1.63472E-05 0.006140077

2.56093E-05 0.008613024

3.97118E-05 0.011913508

6.09553E-05 0.016243656

9.26132E-05 0.021823526

0.000139285 0.028878464

0.000207351 0.03761926

0.000305546 0.048213896

0.000445674 0.060750189

0.000643469 0.075189579

0.000919619 0.09131362

0.001300942 0.108666447

0.001821704 0.126498521

0.002525035 0.143719111

0.003464389 0.158866913

0.004704958 0.170109697

0.006324913 0.175284263

0.008416337 0.17198704

0.011085658 0.157722774

0.014453386 0.130113885

0.018652949 0.087166062

0.023828414 0.027577033

0.030130931 -0.048934161

0.03771375 -0.141309452

0.046725789 -0.246885344

0.057303789 -0.361222011

0.069563239 -0.478071662

0.083588399 -0.589523493

0.099421884 -0.686349525

0.117054396 -0.75855643

0.136415346 -0.796124382

0.157365126 -0.789887574

0.179689839 -0.732485573

0.203099244 -0.619293877

0.227228529 -0.449229773

0.251644341 -0.225328748

0.275855243 0.045000691

0.299326439 0.350109938

0.321498297 0.674659566

0.341807853 1.000568315



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 1.308297597

0.37471238 1.57836367

0.386376486 1.792936141

0.394360216 1.937363275

0.398423793 2.001465108

0.398443914 1.980455345

0.394419966 1.875390609

0.386474058 1.69309632

0.374844865 1.445575852

0.359875719 1.148966303

0.34199778 0.822152815

0.32170943 0.485187765

0.299553264 0.157677259

0.276092166 -0.142706215

0.25188591 -0.401448146

0.227469632 -0.608053137

0.203335281 -0.756488363

0.17991684 -0.845203348

0.157579839 -0.876765057

0.136615273 -0.857183498

0.117237788 -0.795026903

0.099587708 -0.700435539

0.083736272 -0.584139676

0.069693339 -0.456572371

0.05741676 -0.327144927

0.046822635 -0.203725863

0.037795734 -0.09233712

0.030199481 0.002943017

0.023885038 0.079899524

0.018699163 0.137964224

0.014490659 0.177910139

0.011115369 0.201502642

0.008439746 0.211147929

0.006343145 0.209570641

0.004718997 0.199542405

0.003475077 0.183672983

0.002533081 0.164266835

0.001827693 0.143240926

0.001305351 0.122094839

0.000922829 0.101921656

0.00064578 0.083447361

0.00044732 0.067087287

0.000306705 0.053009812

0.000208159 0.041199743

0.000139842 0.03151612

9.29928E-05 0.023741334

6.12113E-05 0.01762021

3.98826E-05 0.012889092

2.5722E-05 0.009295822

1.64209E-05 0.006612075

1.03767E-05 0.004639669

6.49066E-06 0.003212457
4.01874E-06 0.002195225

2.46298E-06 0.001480791

1.49417E-06 0.000986176
Absolute values

0.000924034 4.66637E-05

0.001385326 0.000139918

0.00205029 0.000207079

0.002995021 0.000302497

0.004317363 0.000436054

0.006140077 0.000620148

0.008613024 0.000869915

0.011913508 0.001203264

0.016243656 0.001640609

0.021823526 0.002204176

0.028878464 0.002916725

0.03761926 0.003799545

0.048213896 0.004869603

0.060750189 0.006135769

0.075189579 0.007594147

0.09131362 0.009222676

0.108666447 0.010975311

0.126498521 0.012776351

0.143719111 0.01451563

0.158866913 0.016045558

0.170109697 0.017181079

0.175284263 0.017703711

0.17198704 0.017370691

0.157722774 0.01593

0.130113885 0.013141502

0.087166062 0.008803772

0.027577033 0.00278528

0.048934161 0.00494235

0.141309452 0.014272255

0.246885344 0.02493542

0.361222011 0.036483423

0.478071662 0.048285238

0.589523493 0.059541873

0.686349525 0.069321302

0.75855643 0.076614199

0.796124382 0.080408563

0.789887574 0.079778645

0.732485573 0.073981043

0.619293877 0.062548682

0.449229773 0.045372207

0.225328748 0.022758204

0.045000691 0.00454507

0.350109938 0.035361104

0.674659566 0.068140616

1.000568315 0.1010574



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
1.308297597 0.132138057

1.57836367 0.159414731

1.792936141 0.18108655

1.937363275 0.195673691

2.001465108 0.202147976

1.980455345 0.20002599

1.875390609 0.189414451

1.69309632 0.171002728

1.445575852 0.146003161

1.148966303 0.116045597

0.822152815 0.083037434

0.485187765 0.049003964

0.157677259 0.015925403

0.142706215 0.014413328

0.401448146 0.040546263

0.608053137 0.061413367

0.756488363 0.076405325

0.845203348 0.085365538

0.876765057 0.088553271

0.857183498 0.086575533

0.795026903 0.080297717

0.700435539 0.070743989

0.584139676 0.058998107

0.456572371 0.046113809

0.327144927 0.033041638

0.203725863 0.020576312

0.09233712 0.009326049

0.002943017 0.000297245

0.079899524 0.008069852

0.137964224 0.013934387

0.177910139 0.017968924

0.201502642 0.020351767

0.211147929 0.021325941

0.209570641 0.021166635

0.199542405 0.020153783

0.183672983 0.018550971

0.164266835 0.01659095

0.143240926 0.014467333

0.122094839 0.012331579

0.101921656 0.010294087

0.083447361 0.008428183

0.067087287 0.006775816

0.053009812 0.005353991

0.041199743 0.004161174

0.03151612 0.003183128

0.023741334 0.002397875

0.01762021 0.001779641

0.012889092 0.001301798

0.009295822 0.000938878

0.006612075 0.00066782

0.004639669 0.000468607

0.003212457 0.000324458
0.002195225 0.000221718

0.001480791 0.00014956

0.000986176 4.98019E-05
Cumulative normalization

4.66637E-05 1.18352E-05

0.000186582 4.73223E-05

0.000393661 9.98435E-05

0.000696158 0.000176565

0.001132212 0.000287161

0.001752359 0.000444448

0.002622275 0.000665083

0.003825539 0.000970264

0.005466148 0.001386369

0.007670324 0.00194541

0.010587049 0.002685173

0.014386595 0.003648844

0.019256198 0.004883912

0.025391967 0.006440116

0.032986115 0.008366205

0.04220879 0.010705334

0.053184101 0.013488981

0.065960452 0.016729423

0.080476082 0.020410994

0.09652164 0.024480598

0.11370272 0.028838202

0.13140643 0.03332836

0.148777121 0.037734055

0.164707122 0.04177435

0.177848624 0.045107404

0.186652396 0.047340288

0.189437677 0.048046714

0.194380027 0.049300232

0.208652282 0.052920077

0.233587701 0.059244399

0.270071124 0.06849762

0.318356362 0.080744112

0.377898235 0.095845603

0.447219537 0.113427431

0.523833737 0.132858943

0.604242299 0.153252812

0.684020944 0.173486916

0.758001987 0.192250586

0.820550669 0.208114688

0.865922876 0.219622353

0.888681079 0.225394473

0.893226149 0.22654723

0.928587253 0.235515799

0.996727869 0.252798172

1.097785269 0.278429166

2 ( ) ( )

i

f x f b



  



 
1.229923326 0.311943088

1.389338057 0.352375139

1.570424607 0.398303773

1.766098298 0.447932114

1.968246274 0.499202517

2.168272264 0.549934724

2.357686715 0.597975547

2.528689443 0.64134664

2.674692604 0.678377141

2.790738201 0.707809562

2.873775635 0.728870187

2.9227796 0.741298968

2.938705003 0.745338098

2.95311833 0.748993722

2.993664593 0.759277393

3.05507796 0.774853547

3.131483285 0.794232082

3.216848823 0.81588318

3.305402093 0.838342775

3.391977627 0.860300761

3.472275344 0.880666517

3.543019333 0.898609179

3.602017441 0.913572755

3.64813125 0.925268512

3.681172888 0.933648799

3.7017492 0.93886753

3.711075249 0.941232878

3.711372494 0.941308267

3.719442346 0.943355008

3.733376732 0.94688916

3.751345656 0.951446584

3.771697423 0.956608363

3.793023364 0.96201722

3.814189999 0.967385673

3.834343782 0.972497238

3.852894753 0.977202286

3.869485703 0.981410216

3.883953037 0.985079538

3.896284616 0.988207173

3.906578703 0.990818043

3.915006886 0.992955667

3.921782702 0.994674204

3.927136693 0.996032126

3.931297867 0.997087517

3.934480996 0.997894847

3.93687887 0.998503016

3.938658511 0.998954383

3.93996031 0.999284555

3.940899188 0.999522681

3.941567007 0.999692059

3.942035614 0.999810911

3.942360072 0.999893202
3.94258179 0.999949436

3.94273135 0.999987369

3.942781152 1

197.8535595
Appendix E-3b (i): Coal Fluidized Bed with Integrated Heat Exchanger CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Coal FB no 16 PAKimberlyClarkChester

YES Yes Coal FB no 16 PAKimberlyClarkChester

YES Yes Coal FB no 16 PAKimberlyClarkChester
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

Boiler #10 (ID 035) ICR Phase I CO CO ET PAKimberlyClarkChesterCOT

Boiler #10 (ID 035) ICR Phase I CO CO ET PAKimberlyClarkChesterCOT

Boiler #10 (ID 035) ICR Phase I CO CO ET PAKimberlyClarkChesterCOT
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

9/17/2003 114.0857343 4.736950221 0

9/17/2003 104.6658113 4.650772525 0

9/17/2003 94.14769976 4.544864823 0
Appendix E-3b (ii): Coal Fluidized Bed with In

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) 4.644195856

Variance of natural log of 

test runs (σ2) 0.009256639

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.150095909

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.000259448

Flatness of z distribution 

(β2z) 12143.50769

Skewness of z distribution 

(√β1z) 0.16754724
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815221 0.999274601 0.996005504

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 104.4620843

exp (2μ + σ2) 10912.32706

exp (σ2) - 1 0.009299615

(σ2/n) + [σ4/(2(n - 1))] 0.003106968

Square root term 24.68966483

Confidence Level 99% 99.9% 99.5%

UPL 1.33E+02 1.40E+02 1.36E+02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -1.65E-01 -3.06E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-3b (ii): Coal Fluidized Bed with Integrated Heat Exchanger CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

FB Coal 16 PAKimberlyClarkChesterBoiler #10 (ID 035) ICR Phase I CO

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 104.2997484 4.64726895 3 2 ET /Anthracite Culm/
Appendix E-3b (iii): Coal Fluidized Bed with Integrated Heat Exchanger CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 12143.508 0.1675472

1.28183E-05 -5 =f(a) 241796.37

5.12804E-05 1 -4.899 220049.1

0.000108247 2 -4.798 199726.16

0.000191529 3 -4.697 180766.9

0.00031168 4 -4.596 163111.94

0.000482707 5 -4.495 146703.16

0.000722839 6 -4.394 131483.71

0.001055316 7 -4.293 117397.98

0.001509109 8 -4.192 104391.66

0.002119461 9 -4.091 92411.668

0.002928078 10 -3.99 81406.209

0.003982772 11 -3.889 71324.741

0.005336323 12 -3.788 62117.987

0.007044289 13 -3.687 53737.934

0.009161508 14 -3.586 46137.832

0.011737082 15 -3.485 39272.194

0.014807694 16 -3.384 33096.798

0.018389275 17 -3.283 27568.683

0.022467232 18 -3.182 22646.153

0.02698571 19 -3.081 18288.775

0.031836653 20 -2.98 14457.379

0.036849774 21 -2.879 11114.058

0.041784812 22 -2.778 8222.1698

0.046327713 23 -2.677 5746.3342

0.050092436 24 -2.576 3652.4348

0.052630017 25 -2.475 1907.6185

0.053446195 26 -2.374 480.29553

0.054864095 27 -2.273 -659.8604

0.059011155 28 -2.172 -1541.912

0.066320979 29 -2.071 -2193.66

0.077116358 30 -1.97 -2641.64

0.091558166 31 -1.869 -2911.125

0.109597219 32 -1.768 -3026.125

0.130934581 33 -1.667 -3009.385

0.154996011 34 -1.566 -2882.39

0.180925849 35 -1.465 -2665.359

0.207604491 36 -1.364 -2377.247

0.233691753 37 -1.263 -2035.748

0.257696008 38 -1.162 -1657.292

0.278066162 39 -1.061 -1257.044

0.293300681 40 -0.96 -848.908

0.302065285 41 -0.859 -445.523

0.303309042 42 -0.758 -58.26526

0.310250443 43 -0.657 302.75232

0.325575171 44 -0.556 628.68026

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.348968861 45 -0.455 911.93239

0.379597947 46 -0.354 1146.1859

0.416145644 47 -0.253 1326.3813

0.45688923 48 -0.152 1448.7225

0.499812989 49 -0.051 1510.6768

0.542747379 50 0.05 1510.9746

0.583522099 51 0.151 1449.61

0.620119231 52 0.252 1327.8401

0.650812602 53 0.353 1148.1856

0.674281038 54 0.454 914.43044

0.689686028 55 0.555 631.62194

0.69670812 56 0.656 306.07073

0.697875571 57 0.757 -54.64918

0.706572439 58 0.858 -441.7005

0.721751066 59 0.959 -844.9824

0.742079356 60 1.06 -1253.131

0.766056798 61 1.161 -1653.519

0.792132201 62 1.262 -2032.255

0.818812849 63 1.363 -2374.186

0.844756679 64 1.464 -2662.894

0.868841662 65 1.565 -2880.698

0.890209424 66 1.666 -3008.655

0.908282966 67 1.767 -3026.556

0.922760761 68 1.868 -2912.931

0.933591369 69 1.969 -2645.046

0.940933851 70 2.07 -2198.903

0.945109681 71 2.171 -1549.242

0.946551648 72 2.272 -669.5375

0.947348816 73 2.373 467.99701

0.949872407 74 2.474 1892.4126

0.953627812 75 2.575 3634.0236

0.958165508 76 2.676 5724.4076

0.963098765 77 2.777 8196.4054

0.968112795 78 2.878 11084.121

0.972966617 79 2.979 14422.923

0.977489288 80 3.08 18249.442

0.981572187 81 3.181 22601.571

0.985158998 82 3.282 27518.469

0.988234781 83 3.383 33040.557

0.990815221 84 3.484 39209.518

0.992936843 85 3.585 46068.302

0.994648666 86 3.686 53661.118

0.996005504 87 3.787 62033.441

0.997062931 88 3.888 71232.009

0.997873769 89 3.989 81304.823

0.99848589 90 4.09 92301.147

0.998941065 91 4.191 104271.51

0.999274601 92 4.292 117267.7

0.999515532 93 4.393 131342.78

0.999687151 94 4.494 146551.05

0.999807735 95 4.595 162948.11

0.999891327 96 4.696 180590.8
0.999948514 97 4.797 199537.22

0.999987129 98 4.898 219846.74 1 99 4.999 241580.01
distribution of Z

Normal 

distribution

1.48672E-06 0.359483386

2.45094E-06 0.539327086

3.9995E-06 0.798805298

6.46025E-06 1.167798771

1.03291E-05 1.684797616

1.63472E-05 2.398192837

2.56093E-05 3.367200458

3.97118E-05 4.662081193

6.09553E-05 6.363219819

9.26132E-05 8.558538964

0.000139285 11.33866192

0.000207351 14.7892344

0.000305546 18.97989644

0.000445674 23.94959467

0.000643469 29.68826955

0.000919619 36.11545842

0.001300942 43.05701983

0.001821704 50.2219759

0.002525035 57.18231879

0.003464389 63.35942823

0.004704958 68.02135291

0.006324913 70.29544816

0.008416337 69.20055563

0.011085658 63.70189882

0.014453386 52.79005163

0.018652949 35.58270968

0.023828414 11.44468097

0.030130931 -19.8822084

0.03771375 -58.15129883

0.046725789 -102.5005019

0.057303789 -151.37598

0.069563239 -202.5072771

0.083588399 -252.948912

0.099421884 -299.1987614

0.117054396 -337.3964374

0.136415346 -363.5958151

0.157365126 -374.0957671

0.179689839 -365.8032624

0.203099244 -336.5947183

0.227228529 -285.6362931

0.251644341 -213.6229006

0.275855243 -122.8998547

0.299326439 -17.44033415

0.321498297 97.33435617

0.341807853 214.8878502



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 328.0331997

0.37471238 429.4900477

0.386376486 512.482556

0.394360216 571.3185367

0.398423793 601.8895757

0.398443914 602.0386418

0.394419966 571.7551134

0.386474058 513.1757465

0.374844865 430.3914731

0.359875719 329.0813131

0.34199778 216.0133016

0.32170943 98.46584095

0.299553264 -16.37034167

0.276092166 -121.9500399

0.25188591 -212.8391704

0.227469632 -285.0492605

0.203335281 -336.2187379

0.17991684 -365.6369645

0.157579839 -374.1238905

0.136615273 -363.7920198

0.117237788 -337.7267151

0.099587708 -299.6250453

0.083736272 -253.4325208

0.069693339 -203.011895

0.05741676 -151.8699684

0.046822635 -102.9584367

0.037795734 -58.5547252

0.030199481 -20.21968371

0.023885038 11.17812652

0.018699163 35.38653172

0.014490659 52.65939798

0.011115369 63.62890286

0.008439746 69.17558224

0.006343145 70.30819233

0.004718997 68.06172878

0.003475077 63.4182214

0.002533081 57.25160403

0.001827693 50.29532471

0.001305351 43.12953561

0.000922829 36.18368327

0.00064578 29.75000681

0.00044732 24.00368646

0.000306705 19.02598839

0.000208159 14.82755131

0.000139842 11.3698098

9.29928E-05 8.583341679

6.12113E-05 6.382592768

3.98826E-05 4.676940244

2.5722E-05 3.378401791

1.64209E-05 2.406498019

1.03767E-05 1.690857934

6.49066E-06 1.172153227
4.01874E-06 0.801887477

2.46298E-06 0.541477064

1.49417E-06 0.360961842
Absolute values

0.359483386 0.018153911

0.539327086 0.054472036

0.798805298 0.080679335

1.167798771 0.117947676

1.684797616 0.170164559

2.398192837 0.242217477

3.367200458 0.340087246

4.662081193 0.4708702

6.363219819 0.642685202

8.558538964 0.864412435

11.33866192 1.145204854

14.7892344 1.493712674

18.97989644 1.91696954

23.94959467 2.418909061

29.68826955 2.998515225

36.11545842 3.6476613

43.05701983 4.348759003

50.2219759 5.072419566

57.18231879 5.775414197

63.35942823 6.399302251

68.02135291 6.870156644

70.29544816 7.099840265

69.20055563 6.989256119

63.70189882 6.43389178

52.79005163 5.331795215

35.58270968 3.593853678

11.44468097 1.155912778

19.8822084 2.008103049

58.15129883 5.873281182

102.5005019 10.35255069

151.37598 15.28897398

202.5072771 20.45323498

252.948912 25.54784011

299.1987614 30.2190749

337.3964374 34.07704018

363.5958151 36.72317733

374.0957671 37.78367247

365.8032624 36.9461295

336.5947183 33.99606655

285.6362931 28.84926561

213.6229006 21.57591297

122.8998547 12.41288532

17.44033415 1.761473749

97.33435617 9.830769973

214.8878502 21.70367287



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
328.0331997 33.13135317

429.4900477 43.37849481

512.482556 51.76073815

571.3185367 57.7031722

601.8895757 60.79084715

602.0386418 60.80590282

571.7551134 57.74726646

513.1757465 51.83075039

430.3914731 43.46953878

329.0813131 33.23721263

216.0133016 21.81734346

98.46584095 9.945049936

16.37034167 1.653404509

121.9500399 12.31695403

212.8391704 21.49675621

285.0492605 28.78997532

336.2187379 33.95809252

365.6369645 36.92933342

374.1238905 37.78651294

363.7920198 36.742994

337.7267151 34.11039822

299.6250453 30.26212957

253.4325208 25.5966846

203.011895 20.50420139

151.8699684 15.33886681

102.9584367 10.3988021

58.5547252 5.914027245

20.21968371 2.042188054

11.17812652 1.128990779

35.38653172 3.574039704

52.65939798 5.318599196

63.62890286 6.426519189

69.17558224 6.986733807

70.30819233 7.101127425

68.06172878 6.874234607

63.4182214 6.405240361

57.25160403 5.782412007

50.29532471 5.079827796

43.12953561 4.356083096

36.18368327 3.65455201

29.75000681 3.004750688

24.00368646 2.424372333

19.02598839 1.921624827

14.82755131 1.497582682

11.3698098 1.14835079

8.583341679 0.86691751

6.382592768 0.64464187

4.676940244 0.472370965

3.378401791 0.341218581

2.406498019 0.2430563

1.690857934 0.170776651

1.172153227 0.118387476
0.801887477 0.080990635

0.541477064 0.054689183

0.360961842 0.018228573
Cumulative normalization

0.018153911 1.28183E-05

0.072625947 5.12804E-05

0.153305282 0.000108247

0.271252958 0.000191529

0.441417517 0.00031168

0.683634994 0.000482707

1.02372224 0.000722839

1.49459244 0.001055316

2.137277642 0.001509109

3.001690077 0.002119461

4.146894931 0.002928078

5.640607606 0.003982772

7.557577146 0.005336323

9.976486207 0.007044289

12.97500143 0.009161508

16.62266273 0.011737082

20.97142173 0.014807694

26.0438413 0.018389275

31.8192555 0.022467232

38.21855775 0.02698571

45.08871439 0.031836653

52.18855466 0.036849774

59.17781078 0.041784812

65.61170256 0.046327713

70.94349777 0.050092436

74.53735145 0.052630017

75.69326423 0.053446195

77.70136728 0.054864095

83.57464846 0.059011155

93.92719915 0.066320979

109.2161731 0.077116358

129.6694081 0.091558166

155.2172482 0.109597219

185.4363231 0.130934581

219.5133633 0.154996011

256.2365406 0.180925849

294.0202131 0.207604491

330.9663426 0.233691753

364.9624092 0.257696008

393.8116748 0.278066162

415.3875877 0.293300681

427.8004731 0.302065285

429.5619468 0.303309042

439.3927168 0.310250443

461.0963896 0.325575171

2 ( ) ( )

i

f x f b



  



 
494.2277428 0.348968861

537.6062376 0.379597947

589.3669758 0.416145644

647.070148 0.45688923

707.8609951 0.499812989

768.666898 0.542747379

826.4141644 0.583522099

878.2449148 0.620119231

921.7144536 0.650812602

954.9516662 0.674281038

976.7690097 0.689686028

986.7140596 0.69670812

988.3674641 0.697875571

1000.684418 0.706572439

1022.181174 0.721751066

1050.97115 0.742079356

1084.929242 0.766056798

1121.858576 0.792132201

1159.645089 0.818812849

1196.388083 0.844756679

1230.498481 0.868841662

1260.76061 0.890209424

1286.357295 0.908282966

1306.861496 0.922760761

1322.200363 0.933591369

1332.599165 0.940933851

1338.513193 0.945109681

1340.555381 0.946551648

1341.684371 0.947348816

1345.258411 0.949872407

1350.57701 0.953627812

1357.003529 0.958165508

1363.990263 0.963098765

1371.091391 0.968112795

1377.965625 0.972966617

1384.370866 0.977489288

1390.153278 0.981572187

1395.233105 0.985158998

1399.589189 0.988234781

1403.243741 0.990815221

1406.248491 0.992936843

1408.672864 0.994648666

1410.594488 0.996005504

1412.092071 0.997062931

1413.240422 0.997873769

1414.107339 0.99848589

1414.751981 0.998941065

1415.224352 0.999274601

1415.565571 0.999515532

1415.808627 0.999687151

1415.979404 0.999807735

1416.097791 0.999891327
1416.178782 0.999948514

1416.233471 0.999987129

1416.2517 1

71514.18948
Appendix E-3c (i): Pulverized Coal CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Coal PC no 2 IAUofNorthernIowa

YES Coal PC no 2 IAUofNorthernIowa

YES Coal PC no 2 IAUofNorthernIowa

YES Yes Coal PC no 2 IAUofNorthernIowa

YES Yes Coal PC no 2 IAUofNorthernIowa

YES Yes Coal PC no 2 IAUofNorthernIowa
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

Boiler #3 ICR Phase I Organic HAP and CO B3 CO ET Sample #1

Boiler #3 ICR Phase I Organic HAP and CO B3 CO ET Sample #2

Boiler #3 ICR Phase I Organic HAP and CO B3 CO ET Sample #3

Boiler #3 ICR Phase II - Templates CO CO ET Sample #1

Boiler #3 ICR Phase II - Templates CO CO ET Sample #2

Boiler #3 ICR Phase II - Templates CO CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

8/3/2007 26.51437379 3.277686993 0

8/3/2007 36.15596426 3.587841921 0

8/3/2007 33.74556664 3.51884905 0

10/6/2009 9.715495485 2.273722084 0

10/6/2009 10.60340169 2.361174864 0

10/6/2009 10.69347914 2.369634129 0
Appendix E-3c (ii): Pulverized Coal CO Test Av

In top 

12%?

Min Test 

Avg?

YES Yes

YES

Number of sources with 

test data 1

n 6

n-1 5

Average of natural log of 

test run values (μ) 2.898151507

Variance of natural log of 

test runs (σ2) 0.392514426

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 14.87711401

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.693215238

Flatness of z distribution 

(β2z) 23.46103144

Skewness of z distribution 

(√β1z) 1.393293403
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990789396 0.999290586 0.996041027

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 22.07418266

exp (2μ + σ2) 487.2695399

exp (σ2) - 1 0.480699226

(σ2/n) + [σ4/(2(n - 1))] 0.080825829

Square root term 32.51378093

Confidence Level 99% 99.9% 99.5%

UPL 5.98E+01 6.86E+01 6.31E+01

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 2.41E-01 9.26E-02

SE Skewness 1.00 1.00

Skewness Test normal normal

Kurtosis = -2.72E+00 -3.03E+00

SE Kurtosis 2.00 2.00

Kurtosis Test normal normal

Number of test runs = 6 6
ndix E-3c (ii): Pulverized Coal CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

PC Coal 2 IAUofNorthernIowa Boiler #3 ICR Phase II - Templates CO

PC Coal 2 IAUofNorthernIowa Boiler #3 ICR Phase I Organic HAP and CO B3

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 10.33745877 2.335774072 3 2 ET Coal: Bituminous

CO 32.1386349 3.470058886 3 2 ET /Coal: Bituminous/
Appendix E-3c (iii): Pulverized Coal CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 23.461031 1.3932934

1.09558E-05 -5 =f(a) 382.97183

4.37772E-05 1 -4.899 347.97306

9.23077E-05 2 -4.798 315.30517

0.00016313 3 -4.697 284.86739

0.000265114 4 -4.596 256.56107

0.00040999 5 -4.495 230.28969

0.000612971 6 -4.394 205.95887

0.000893371 7 -4.293 183.47634

0.001275153 8 -4.192 162.75198

0.001787308 9 -4.091 143.69779

0.002463917 10 -3.99 126.22788

0.003343741 11 -3.889 110.25853

0.004469132 12 -3.788 95.708123

0.005884061 13 -3.687 82.497167

0.007631059 14 -3.586 70.548309

0.009746925 15 -3.485 59.786326

0.012257101 16 -3.384 50.13812

0.0151688 17 -3.283 41.532724

0.01846309 18 -3.182 33.901301

0.022086426 19 -3.081 27.17714

0.025942321 20 -2.98 21.295664

0.029884153 21 -2.879 16.19442

0.033710328 22 -2.778 11.813088

0.037163155 23 -2.677 8.0934754

0.039932871 24 -2.576 4.9795194

0.041668088 25 -2.475 2.4172862

0.041993599 26 -2.374 0.3549712

0.043451275 27 -2.273 -1.257101

0.047031044 28 -2.172 -2.466477

0.05299846 29 -2.071 -3.318573

0.061503472 30 -1.97 -3.856678

0.072538178 31 -1.869 -4.12195

0.0858989 32 -1.768 -4.153419

0.101157463 33 -1.667 -3.987984

0.11764655 34 -1.566 -3.660418

0.134463507 35 -1.465 -3.203362

0.150495758 36 -1.364 -2.647328

0.164469213 37 -1.263 -2.020701

0.17501879 38 -1.162 -1.349735

0.180777604 39 -1.061 -0.658555

0.181076296 40 -0.96 0.0308431

0.188492525 41 -0.859 0.6985921

0.203778013 42 -0.758 1.3269544

0.227289711 43 -0.657 1.9003216

0.258928078 44 -0.556 2.4052143

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.298107964 45 -0.455 2.8302825

0.343767241 46 -0.354 3.1663051

0.39441472 47 -0.253 3.4061904

0.448215009 48 -0.152 3.5449759

0.503104053 49 -0.051 3.5798281

0.556925806 50 0.05 3.5100428

0.607578107 51 0.151 3.337045

0.653154762 52 0.252 3.0643889

0.692071169 53 0.353 2.6977577

0.723162561 54 0.454 2.2449641

0.74574683 55 0.555 1.7159496

0.759647596 56 0.656 1.1227853

0.765177223 57 0.757 0.4796711

0.767271041 58 0.858 -0.197064

0.775888209 59 0.959 -0.888961

0.789679386 60 1.06 -1.575432

0.807158833 61 1.161 -2.233761

0.826816458 62 1.262 -2.839102

0.847219586 63 1.363 -3.364479

0.867097002 64 1.464 -3.780789

0.885400293 65 1.565 -4.056798

0.90134027 66 1.666 -4.159142

0.914398872 67 1.767 -4.05233

0.924319141 68 1.868 -3.698742

0.931077531 69 1.969 -3.058626

0.934843717 70 2.07 -2.090103

0.935933396 71 2.171 -0.749165

0.937107588 72 2.272 1.0103263

0.940082666 73 2.373 3.2366378

0.944386084 74 2.474 5.9801656

0.949568624 75 2.575 9.2934351

0.955228385 76 2.676 13.231101

0.961025936 77 2.777 17.849947

0.966691422 78 2.878 23.208886

0.972024973 79 2.979 29.368959

0.97689201 80 3.08 36.39334

0.981215104 81 3.181 44.347327

0.98496393 82 3.282 53.29835

0.988144602 83 3.383 63.315969

0.990789396 84 3.484 74.47187

0.992947549 85 3.585 86.839873

0.994677544 86 3.686 100.49592

0.996041027 87 3.787 115.51809

0.997098337 88 3.888 131.98659

0.997905496 89 3.989 149.98375

0.998512425 90 4.09 169.59404

0.998962127 91 4.191 190.90404

0.999290586 92 4.292 214.00248

0.999527148 93 4.393 238.9802

0.9996952 94 4.494 265.9302

0.999812982 95 4.595 294.94757

0.999894444 96 4.696 326.12956
0.999950055 97 4.797 359.57553

0.999987532 98 4.898 395.38699 1 99 4.999 433.66754
distribution of Z

Normal 

distribution

1.48672E-06 0.000569372

2.45094E-06 0.000852861

3.9995E-06 0.001261064

6.46025E-06 0.001840314

1.03291E-05 0.002650042

1.63472E-05 0.003764603

2.56093E-05 0.005274454

3.97118E-05 0.00728617

6.09553E-05 0.009920588

9.26132E-05 0.01330831

0.000139285 0.017581648

0.000207351 0.022862183

0.000305546 0.029243225

0.000445674 0.036766834

0.000643469 0.045395658

0.000919619 0.054980645

0.001300942 0.065226794

0.001821704 0.075660324

0.002525035 0.085601956

0.003464389 0.094152183

0.004704958 0.100195193

0.006324913 0.102428294

0.008416337 0.099422934

0.011085658 0.089721504

0.014453386 0.071970919

0.018652949 0.045089516

0.023828414 0.008458401

0.030130931 -0.037877626

0.03771375 -0.093020093

0.046725789 -0.155062956

0.057303789 -0.221002267

0.069563239 -0.286736193

0.083588399 -0.347177613

0.099421884 -0.396492897

0.117054396 -0.428467995

0.136415346 -0.436987673

0.157365126 -0.41659712

0.179689839 -0.363099456

0.203099244 -0.274130149

0.227228529 -0.149642455

0.251644341 0.00776149

0.275855243 0.192710289

0.299326439 0.397192541

0.321498297 0.610950162

0.341807853 0.822121152



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 1.018087121

0.37471238 1.186453726

0.386376486 1.316071892

0.394360216 1.397997461

0.398423793 1.426288687

0.398443914 1.398555194

0.394419966 1.316197182

0.386474058 1.184306804

0.374844865 1.011240626

0.359875719 0.807908057

0.34199778 0.586850963

0.32170943 0.361210613

0.299553264 0.143687045

0.276092166 -0.054407731

0.25188591 -0.223916638

0.227469632 -0.358362934

0.203335281 -0.454202447

0.17991684 -0.510802265

0.157579839 -0.530174135

0.136615273 -0.51651354

0.117237788 -0.475609964

0.099587708 -0.414199402

0.083736272 -0.339327025

0.069693339 -0.257777649

0.05741676 -0.175616373

0.046822635 -0.097864128

0.037795734 -0.028315238

0.030199481 0.030511331

0.023885038 0.077307217

0.018699163 0.111824089

0.014490659 0.134668001

0.011115369 0.147068569

0.008439746 0.150649022

0.006343145 0.147217333

0.004718997 0.138592027

0.003475077 0.126469671

0.002533081 0.112335359

0.001827693 0.097413043

0.001305351 0.082649586

0.000922829 0.068724807

0.00064578 0.056079489

0.00044732 0.044953827

0.000306705 0.035430018

0.000208159 0.027474137

0.000139842 0.020973993

9.29928E-05 0.015771024

6.12113E-05 0.011685481

3.98826E-05 0.008534974

2.5722E-05 0.006147054

1.64209E-05 0.004366809

1.03767E-05 0.003060572

6.49066E-06 0.002116796
4.01874E-06 0.001445039

2.46298E-06 0.000973828

1.49417E-06 0.000647973
Absolute values

0.000569372 2.87533E-05

0.000852861 8.6139E-05

0.001261064 0.000127367

0.001840314 0.000185872

0.002650042 0.000267654

0.003764603 0.000380225

0.005274454 0.00053272

0.00728617 0.000735903

0.009920588 0.001001979

0.01330831 0.001344139

0.017581648 0.001775746

0.022862183 0.002309081

0.029243225 0.002953566

0.036766834 0.00371345

0.045395658 0.004584961

0.054980645 0.005553045

0.065226794 0.006587906

0.075660324 0.007641693

0.085601956 0.008645798

0.094152183 0.00950937

0.100195193 0.010119715

0.102428294 0.010345258

0.099422934 0.010041716

0.089721504 0.009061872

0.071970919 0.007269063

0.045089516 0.004554041

0.008458401 0.000854298

0.037877626 0.00382564

0.093020093 0.009395029

0.155062956 0.015661359

0.221002267 0.022321229

0.286736193 0.028960356

0.347177613 0.035064939

0.396492897 0.040045783

0.428467995 0.043275268

0.436987673 0.044135755

0.41659712 0.042076309

0.363099456 0.036673045

0.274130149 0.027687145

0.149642455 0.015113888

0.00776149 0.00078391

0.192710289 0.019463739

0.397192541 0.040116447

0.610950162 0.061705966

0.822121152 0.083034236



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
1.018087121 0.102826799

1.186453726 0.119831826

1.316071892 0.132923261

1.397997461 0.141197744

1.426288687 0.144055157

1.398555194 0.141254075

1.316197182 0.132935915

1.184306804 0.119614987

1.011240626 0.102135303

0.807908057 0.081598714

0.586850963 0.059271947

0.361210613 0.036482272

0.143687045 0.014512392

0.054407731 0.005495181

0.223916638 0.02261558

0.358362934 0.036194656

0.454202447 0.045874447

0.510802265 0.051591029

0.530174135 0.053547588

0.51651354 0.052167868

0.475609964 0.048036606

0.414199402 0.04183414

0.339327025 0.03427203

0.257777649 0.026035543

0.175616373 0.017737254

0.097864128 0.009884277

0.028315238 0.002859839

0.030511331 0.003081644

0.077307217 0.007808029

0.111824089 0.011294233

0.134668001 0.013601468

0.147068569 0.014853926

0.150649022 0.015215551

0.147217333 0.014868951

0.138592027 0.013997795

0.126469671 0.012773437

0.112335359 0.011345871

0.097413043 0.009838717

0.082649586 0.008347608

0.068724807 0.006941205

0.056079489 0.005664028

0.044953827 0.004540337

0.035430018 0.003578432

0.027474137 0.002774888

0.020973993 0.002118373

0.015771024 0.001592873

0.011685481 0.001180234

0.008534974 0.000862032

0.006147054 0.000620852

0.004366809 0.000441048

0.003060572 0.000309118

0.002116796 0.000213796
0.001445039 0.000145949

0.000973828 9.83567E-05

0.000647973 3.27227E-05
Cumulative normalization

2.87533E-05 1.09558E-05

0.000114892 4.37772E-05

0.00024226 9.23077E-05

0.000428131 0.00016313

0.000695786 0.000265114

0.00107601 0.00040999

0.00160873 0.000612971

0.002344633 0.000893371

0.003346613 0.001275153

0.004690752 0.001787308

0.006466499 0.002463917

0.008775579 0.003343741

0.011729145 0.004469132

0.015442595 0.005884061

0.020027557 0.007631059

0.025580602 0.009746925

0.032168508 0.012257101

0.039810201 0.0151688

0.048455998 0.01846309

0.057965369 0.022086426

0.068085083 0.025942321

0.078430341 0.029884153

0.088472057 0.033710328

0.097533929 0.037163155

0.104802992 0.039932871

0.109357033 0.041668088

0.110211331 0.041993599

0.114036972 0.043451275

0.123432001 0.047031044

0.13909336 0.05299846

0.161414589 0.061503472

0.190374944 0.072538178

0.225439883 0.0858989

0.265485666 0.101157463

0.308760933 0.11764655

0.352896688 0.134463507

0.394972997 0.150495758

0.431646042 0.164469213

0.459333187 0.17501879

0.474447075 0.180777604

0.475230986 0.181076296

0.494694725 0.188492525

0.534811172 0.203778013

0.596517138 0.227289711

0.679551374 0.258928078

2 ( ) ( )

i

f x f b



  



 
0.782378173 0.298107964

0.90221 0.343767241

1.035133261 0.39441472

1.176331004 0.448215009

1.320386162 0.503104053

1.461640236 0.556925806

1.594576152 0.607578107

1.714191139 0.653154762

1.816326442 0.692071169

1.897925156 0.723162561

1.957197103 0.74574683

1.993679375 0.759647596

2.008191767 0.765177223

2.013686947 0.767271041

2.036302528 0.775888209

2.072497184 0.789679386

2.118371631 0.807158833

2.16996266 0.826816458

2.223510248 0.847219586

2.275678115 0.867097002

2.323714722 0.885400293

2.365548861 0.90134027

2.399820891 0.914398872

2.425856434 0.924319141

2.443593687 0.931077531

2.453477964 0.934843717

2.456337803 0.935933396

2.459419448 0.937107588

2.467227477 0.940082666

2.478521709 0.944386084

2.492123178 0.949568624

2.506977103 0.955228385

2.522192654 0.961025936

2.537061605 0.966691422

2.5510594 0.972024973

2.563832836 0.97689201

2.575178708 0.981215104

2.585017425 0.98496393

2.593365033 0.988144602

2.600306239 0.990789396

2.605970267 0.992947549

2.610510604 0.994677544

2.614089035 0.996041027

2.616863923 0.997098337

2.618982297 0.997905496

2.62057517 0.998512425

2.621755403 0.998962127

2.622617436 0.999290586

2.623238288 0.999527148

2.623679336 0.9996952

2.623988454 0.999812982

2.62420225 0.999894444
2.624348199 0.999950055

2.624446556 0.999987532

2.624479279 1

131.0305861
Appendix E-3d (i): Coal Stoker/Sloped Grate/Other CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Coal Stoker/SlopedGrate/Other no 2 WVDuPontWashingtonWorks

YES Yes Coal Stoker/SlopedGrate/Other no 2 WVDuPontWashingtonWorks

YES Yes Coal Stoker/SlopedGrate/Other no 2 WVDuPontWashingtonWorks
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

P05 ICR Phase I Organic HAP and CO P05 11.02.05 CO ET Sample #1

P05 ICR Phase I Organic HAP and CO P05 11.02.05 CO ET Sample #2

P05 ICR Phase I Organic HAP and CO P05 11.02.05 CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

11/2/2005 15.54706463 2.743871851 0

11/2/2005 17.11382308 2.839886504 0

11/3/2005 16.27018392 2.789334225 0
Appendix E-3d (ii): Coal Stoker/Sloped Grate

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) 2.79103086

Variance of natural log of 

test runs (σ2) 0.002306862

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.037032486

Denominator for 

calculation of flatness of z 

distribution (β2z) 1.60017E-05

Flatness of z distribution 

(β2z) 189796.1296

Skewness of z distribution 

(√β1z) 0.083302146
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815028 0.999274577 0.996005395

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 16.31662116

exp (2μ + σ2) 266.2321261

exp (σ2) - 1 0.002309525

(σ2/n) + [σ4/(2(n - 1))] 0.000770285

Square root term 1.92101009

Confidence Level 99% 99.9% 99.5%

UPL 1.85E+01 1.91E+01 1.87E+01

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 2.30E-01 1.59E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-3d (ii): Coal Stoker/Sloped Grate/Other CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source

Stoker/SlopedGrate/Other Coal 2 WVDuPontWashingtonWorks P05 ICR Phase I

Source Tab Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type

Organic HAP and CO P05 11.02.05 CO 16.31035721 2.791800318 3 2 ET

Fuel

/Coal: Bituminous/
Appendix E-3d (iii): Coal Stoker/Sloped Grate/Other CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 189796.13 0.0833021

1.28191E-05 -5 =f(a) 3780046

5.12836E-05 1 -4.899 3440066.8

0.000108254 2 -4.798 3122354.4

0.000191541 3 -4.697 2825960.6

0.000311699 4 -4.596 2549957.2

0.000482737 5 -4.495 2293435.5

0.000722884 6 -4.394 2055506.6

0.001055381 7 -4.293 1835301.5

0.001509201 8 -4.192 1631970.9

0.00211959 9 -4.091 1444685.1

0.002928255 10 -3.99 1272634.3

0.003983011 11 -3.889 1115028.3

0.005336641 12 -3.788 971096.96

0.007044702 13 -3.687 840089.53

0.009162036 14 -3.586 721275.21

0.011737744 15 -3.485 613942.9

0.014808506 16 -3.384 517401.26

0.018390248 17 -3.283 430978.68

0.022468367 18 -3.182 354023.33

0.026986991 19 -3.081 285903.1

0.031838041 20 -2.98 226005.66

0.036851195 21 -2.879 173738.4

0.041786149 22 -2.778 128528.47

0.046328794 23 -2.677 89822.795

0.050093016 24 -2.576 57088.011

0.052629767 25 -2.475 29810.526

0.053444685 26 -2.374 7496.4945

0.054864387 27 -2.273 -10328.18

0.059013917 28 -2.172 -24117.85

0.066327014 29 -2.071 -34307.1

0.077126608 30 -1.97 -41310.78

0.091573714 31 -1.869 -45524

0.109619284 32 -1.768 -47322.09

0.130964504 33 -1.667 -47060.65

0.155035237 34 -1.566 -45075.54

0.180975909 35 -1.465 -41682.84

0.207666965 36 -1.364 -37178.9

0.233768244 37 -1.263 -31840.33

0.257788101 38 -1.162 -25923.96

0.278175393 39 -1.061 -19666.9

0.2934285 40 -0.96 -13286.5

0.302213025 41 -0.859 -6980.336

0.303477893 42 -0.758 -926.2737

0.310397159 43 -0.657 4717.5951

0.325698909 44 -0.556 9812.9228

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.349068965 45 -0.455 14241.112

0.379673952 46 -0.354 17903.315

0.416197272 47 -0.253 20720.435

0.456916383 48 -0.152 22633.124

0.49981574 49 -0.051 23601.784

0.54272596 50 0.05 23606.568

0.583476889 51 0.151 22647.378

0.620050745 52 0.252 20743.866

0.650721481 53 0.353 17935.436

0.674168037 54 0.454 14281.237

0.689552012 55 0.555 9860.174

0.696554052 56 0.656 4770.8976

0.697740502 57 0.757 -868.1898

0.706455236 58 0.858 -6918.936

0.721650527 59 0.959 -13223.44

0.741994225 60 1.06 -19604.05

0.765985781 61 1.161 -25863.36

0.792073983 62 1.262 -31784.23

0.818766116 63 1.363 -37129.74

0.844720134 64 1.464 -41643.25

0.868814046 65 1.565 -45048.36

0.890189537 66 1.666 -47048.92

0.908269677 67 1.767 -47329.02

0.922753028 68 1.868 -45553.01

0.933588243 69 1.969 -41365.49

0.940934487 70 2.07 -34391.31

0.945113336 71 2.171 -24235.57

0.946557683 72 2.272 -10483.62

0.947353012 73 2.373 7298.9474

0.949875212 74 2.474 29566.28

0.953629591 75 2.575 56792.279

0.958166551 76 2.676 89470.595

0.963099298 77 2.777 128114.63

0.968112988 78 2.878 173257.53

0.972966598 79 2.979 225452.21

0.977489146 80 3.08 285271.3

0.981571985 81 3.181 353307.22

0.985158778 82 3.282 430172.11

0.988234568 83 3.383 516497.87

0.990815028 84 3.484 612936.16

0.992936678 85 3.585 720158.37

0.994648529 86 3.686 838855.66

0.996005395 87 3.787 969738.92

0.997062846 88 3.888 1113538.8

0.997873705 89 3.989 1271005.7

0.998485842 90 4.09 1442909.8

0.99894103 91 4.191 1630041

0.999274577 92 4.292 1833208.9

0.999515515 93 4.393 2053242.9

0.99968714 94 4.494 2290992.2

0.999807728 95 4.595 2547325.7

0.999891323 96 4.696 2823132
0.999948512 97 4.797 3119319.5

0.999987129 98 4.898 3436816.4 1 99 4.999 3776570.6
distribution of Z

Normal 

distribution

1.48672E-06 5.61986811

2.45094E-06 8.431396494

3.9995E-06 12.48786478

6.46025E-06 18.25640323

1.03291E-05 26.33873313

1.63472E-05 37.49135692

2.56093E-05 52.64000449

3.97118E-05 72.88306598

6.09553E-05 99.47719759

9.26132E-05 133.796888

0.000139285 177.2588335

0.000207351 231.2018973

0.000305546 296.7146973

0.000445674 374.4059796

0.000643469 464.1183185

0.000919619 564.5935966

0.001300942 673.1091117

0.001821704 785.1155232

0.002525035 893.9211353

0.003464389 990.4795271

0.004704958 1063.347019

0.006324913 1098.880209

0.008416337 1081.739011

0.011085658 995.7448314

0.014453386 825.1150854

0.018652949 556.0542191

0.023828414 178.6295775

0.030130931 -311.1976947

0.03771375 -909.5743993

0.046725789 -1603.0262

0.057303789 -2367.264337

0.069563239 -3166.79664

0.083588399 -3955.577571

0.099421884 -4678.858689

0.117054396 -5276.289718

0.136415346 -5686.178823

0.157365126 -5850.662889

0.179689839 -5721.383826

0.203099244 -5265.137635

0.227228529 -4468.881682

0.251644341 -3343.471426

0.275855243 -1925.56239

0.299326439 -277.2582179

0.321498297 1516.69879

0.341807853 3354.134069



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 5122.701595

0.37471238 6708.593826

0.386376486 8005.888808

0.394360216 8925.603528

0.398423793 9403.512241

0.398443914 9405.893285

0.394419966 8932.578045

0.386474058 8016.966242

0.374844865 6723.005896

0.359875719 5139.470552

0.34199778 3372.15763

0.32170943 1534.84276

0.299553264 -260.0690931

0.276092166 -1910.264136

0.25188591 -3330.798256

0.227469632 -4459.325888

0.203335281 -5258.933966

0.17991684 -5718.51759

0.157579839 -5850.898614

0.136615273 -5689.104488

0.117237788 -5281.370506

0.099587708 -4685.494003

0.083736272 -3963.15552

0.069693339 -3174.74129

0.05741676 -2375.072468

0.046822635 -1610.291893

0.037795734 -916.0012662

0.030199481 -316.5998778

0.023885038 174.3356367

0.018699163 552.8646755

0.014490659 822.9575523

0.011115369 994.4986774

0.008439746 1081.254968

0.006343145 1098.997706

0.004718997 1063.90826

0.003475077 991.339853

0.002533081 894.9557162

0.001827693 786.2227363

0.001305351 674.2112021

0.000922829 565.6353059

0.00064578 465.06417

0.00044732 375.2368397

0.000306705 297.4241185

0.000208159 231.7926186

0.000139842 177.7396824

9.29928E-05 134.1802178

6.12113E-05 99.776899

3.98826E-05 73.11312819

2.5722E-05 52.81355981

1.64209E-05 37.62012045

1.03767E-05 26.43274498

6.49066E-06 18.32398629
4.01874E-06 12.5357229

2.46298E-06 8.464793426

1.49417E-06 5.642842227
Absolute values

5.61986811 0.28380334

8.431396494 0.851571046

12.48786478 1.261274343

18.25640323 1.843896727

26.33873313 2.660212046

37.49135692 3.786627049

52.64000449 5.316640454

72.88306598 7.361189664

99.47719759 10.04719696

133.796888 13.51348568

177.2588335 17.90314218

231.2018973 23.35139163

296.7146973 29.96818443

374.4059796 37.81500394

464.1183185 46.87595017

564.5935966 57.02395326

673.1091117 67.98402028

785.1155232 79.29666785

893.9211353 90.28603467

990.4795271 100.0384322

1063.347019 107.3980489

1098.880209 110.9869011

1081.739011 109.2556401

995.7448314 100.570228

825.1150854 83.33662363

556.0542191 56.16147613

178.6295775 18.04158733

311.1976947 31.43096717

909.5743993 91.86701432

1603.0262 161.9056462

2367.264337 239.093698

3166.79664 319.8464606

3955.577571 399.5133346

4678.858689 472.5647275

5276.289718 532.9052615

5686.178823 574.3040612

5850.662889 590.9169517

5721.383826 577.8597664

5265.137635 531.7789011

4468.881682 451.3570498

3343.471426 337.6906141

1925.56239 194.4818014

277.2582179 28.00308001

1516.69879 153.1865777

3354.134069 338.7675409



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
5122.701595 517.3928611

6708.593826 677.5679765

8005.888808 808.5947697

8925.603528 901.4859564

9403.512241 949.7547363

9405.893285 949.9952218

8932.578045 902.1903825

8016.966242 809.7135905

6723.005896 679.0235955

5139.470552 519.0865257

3372.15763 340.5879206

1534.84276 155.0191188

260.0690931 26.26697841

1910.264136 192.9366777

3330.798256 336.4106238

4459.325888 450.3919146

5258.933966 531.1523305

5718.51759 577.5702766

5850.898614 590.94076

5689.104488 574.5995533

5281.370506 533.4184211

4685.494003 473.2348943

3963.15552 400.2787075

3174.74129 320.6488703

2375.072468 239.8823193

1610.291893 162.6394812

916.0012662 92.51612789

316.5998778 31.97658766

174.3356367 17.60789931

552.8646755 55.83933223

822.9575523 83.11871279

994.4986774 100.4443664

1081.254968 109.2067517

1098.997706 110.9987683

1063.90826 107.4547342

991.339853 100.1253252

894.9557162 90.39052733

786.2227363 79.40849637

674.2112021 68.09533141

565.6353059 57.1291659

465.06417 46.97148117

375.2368397 37.89892081

297.4241185 30.03983597

231.7926186 23.41105448

177.7396824 17.95170792

134.1802178 13.552202

99.776899 10.0774668

73.11312819 7.384425947

52.81355981 5.334169541

37.62012045 3.799632165

26.43274498 2.669707243

18.32398629 1.850722615
12.5357229 1.266108013

8.464793426 0.854944136

5.642842227 0.284963532
Cumulative normalization

0.28380334 1.28191E-05

1.135374385 5.12836E-05

2.396648728 0.000108254

4.240545455 0.000191541

6.900757501 0.000311699

10.68738455 0.000482737

16.004025 0.000722884

23.36521467 0.001055381

33.41241162 0.001509201

46.92589731 0.00211959

64.82903949 0.002928255

88.18043112 0.003983011

118.1486155 0.005336641

155.9636195 0.007044702

202.8395697 0.009162036

259.8635229 0.011737744

327.8475432 0.014808506

407.144211 0.018390248

497.4302457 0.022468367

597.468678 0.026986991

704.8667269 0.031838041

815.853628 0.036851195

925.1092681 0.041786149

1025.679496 0.046328794

1109.01612 0.050093016

1165.177596 0.052629767

1183.219183 0.053444685

1214.65015 0.054864387

1306.517165 0.059013917

1468.422811 0.066327014

1707.516509 0.077126608

2027.36297 0.091573714

2426.876304 0.109619284

2899.441032 0.130964504

3432.346293 0.155035237

4006.650354 0.180975909

4597.567306 0.207666965

5175.427073 0.233768244

5707.205974 0.257788101

6158.563024 0.278175393

6496.253638 0.2934285

6690.735439 0.302213025

6718.738519 0.303477893

6871.925097 0.310397159

7210.692638 0.325698909

2 ( ) ( )

i

f x f b



  



 
7728.085499 0.349068965

8405.653475 0.379673952

9214.248245 0.416197272

10115.7342 0.456916383

11065.48894 0.49981574

12015.48416 0.54272596

12917.67454 0.583476889

13727.38813 0.620050745

14406.41173 0.650721481

14925.49825 0.674168037

15266.08617 0.689552012

15421.10529 0.696554052

15447.37227 0.697740502

15640.30895 0.706455236

15976.71957 0.721650527

16427.11149 0.741994225

16958.26382 0.765985781

17535.83409 0.792073983

18126.77485 0.818766116

18701.37441 0.844720134

19234.79283 0.868814046

19708.02772 0.890189537

20108.30643 0.908269677

20428.9553 0.922753028

20668.83762 0.933588243

20831.4771 0.940934487

20923.99323 0.945113336

20955.96982 0.946557683

20973.57772 0.947353012

21029.41705 0.949875212

21112.53576 0.953629591

21212.98013 0.958166551

21322.18688 0.963099298

21433.18565 0.968112988

21540.64038 0.972966598

21640.76571 0.977489146

21731.15623 0.981571985

21810.56473 0.985158778

21878.66006 0.988234568

21935.78923 0.990815028

21982.76071 0.992936678

22020.65963 0.994648529

22050.69947 0.996005395

22074.11052 0.997062846

22092.06223 0.997873705

22105.61443 0.998485842

22115.6919 0.99894103

22123.07632 0.999274577

22128.41049 0.999515515

22132.21013 0.99968714

22134.87983 0.999807728

22136.73056 0.999891323
22137.99666 0.999948512

22138.85161 0.999987129

22139.13657 1

1117928.211
Appendix E-4a (i): Biomass Dutch Oven/Pile Burner Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Yes Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Yes Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond

YES Yes Wet BiomassDutch Oven/Pile Burner no 1 WAWeyerhaeuser_Raymond
UnitID Data Source Source Tab Pollutant

Data 

Type

Hog Fuel Boiler EU1 ICR Phase I PM and Metals Particulate Matter (PM) filterable ET

Hog Fuel Boiler EU1 ICR Phase I PM and Metals Particulate Matter (PM) filterable ET

Hog Fuel Boiler EU1 ICR Phase I PM and Metals Particulate Matter (PM) filterable ET

Hog Fuel Boiler EU1 ICR Phase I PM and Metals (2) Particulate Matter (PM) filterable ET

Hog Fuel Boiler EU1 ICR Phase I PM and Metals (2) Particulate Matter (PM) filterable ET

Hog Fuel Boiler EU1 ICR Phase I PM and Metals (2) Particulate Matter (PM) filterable ET

Hog Fuel Boiler EU1 ICR Phase II - Templates PM (filter) Particulate Matter (PM) filterable ET

Hog Fuel Boiler EU1 ICR Phase II - Templates PM (filter) Particulate Matter (PM) filterable ET

Hog Fuel Boiler EU1 ICR Phase II - Templates PM (filter) Particulate Matter (PM) filterable ET
Run Number Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

Sample #1 11/10/2004 0.001235997 -6.695877569 0

Sample #2 11/10/2004 0.001214066 -6.713780079 0

Sample #3 11/10/2004 0.00167599 -6.391351528 0

Sample #1 9/18/1996 0.002 -6.214608098 0

Sample #2 9/18/1996 0.002 -6.214608098 0

Sample #3 9/18/1996 0.002 -6.214608098 0

Sample #1 8/11/2009 ND 0.0015 -6.502290171 1

Sample #2 8/11/2009 0.0018 -6.319968614 0

Sample #3 8/12/2009 ND 0.0006 -7.418580903 1
Appendix E-4a (ii): Biomass Dutch Oven/Pile 

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

Number of sources with 

test data 1

n 9

n-1 8

Average of natural log of 

test run values (μ) -6.520630351

Variance of natural log of 

test runs (σ2) 0.151574621

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 6.047457621

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.080358826

Flatness of z distribution 

(β2z) 77.25567395

Skewness of z distribution 

(√β1z) 0.738937936
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990835613 0.999279544 0.996023152

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.001588694

exp (2μ + σ2) 2.52395E-06

exp (σ2) - 1 0.163665132

(σ2/n) + [σ4/(2(n - 1))] 0.018277554

Square root term 0.001286247

Confidence Level 99% 99.9% 99.5%

UPL 3.08E-03 3.43E-03 3.21E-03

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -1.02E+00 -1.74E+00

SE Skewness 0.82 0.82

Skewness Test normal normal

Kurtosis = 6.38E-01 3.36E+00

SE Kurtosis 1.63 1.63

Kurtosis Test normal non-normal

Number of test runs = 9 9
ndix E-4a (ii): Biomass Dutch Oven/Pile Burner Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Dutch Oven/Pile Burner Wet Biomass 1 WAWeyerhaeuser_Raymond Hog Fuel Boiler EU1 ICR Phase II - Templates PM (filter)

Dutch Oven/Pile Burner Wet Biomass 1 WAWeyerhaeuser_Raymond Hog Fuel Boiler EU1 ICR Phase I PM and Metals

Dutch Oven/Pile Burner Wet Biomass 1 WAWeyerhaeuser_Raymond Hog Fuel Boiler EU1 ICR Phase I PM and Metals (2)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.0013 -6.645391015 3 2 ET Hog Fuel

Particulate Matter (PM) filterable 0.001375351 -6.589046447 3 2 ET /Hog Fuel/

Particulate Matter (PM) filterable 0.002 -6.214608098 3 2 ET /Hog Fuel/
Appendix E-4a (iii): Biomass Dutch Oven/Pile Burner Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 77.255674 0.7389379

1.24797E-05 -5 =f(a) 1466.3783

4.99187E-05 1 -4.899 1334.2399

0.000105359 2 -4.798 1210.7763

0.000186393 3 -4.697 1095.6174

0.000303276 4 -4.596 988.40066

0.000469615 5 -4.495 888.77144

0.00070311 6 -4.394 796.3827

0.001026318 7 -4.293 710.89519

0.001467351 8 -4.192 631.97737

0.002060385 9 -4.091 559.30541

0.002845845 10 -3.99 492.56323

0.003870049 11 -3.889 431.44248

0.00518409 12 -3.788 375.64252

0.006841712 13 -3.687 324.87044

0.00889591 14 -3.586 278.84106

0.011394077 15 -3.485 237.27694

0.014371544 16 -3.384 199.90835

0.017843548 17 -3.283 166.47329

0.021795843 18 -3.182 136.71748

0.026174406 19 -3.081 110.3944

0.030875023 20 -2.98 87.265219

0.035733807 21 -2.879 67.098849

0.040520021 22 -2.778 49.671928

0.044932772 23 -2.677 34.768823

0.048603235 24 -2.576 22.181624

0.051103972 25 -2.475 11.710152

0.05196657 26 -2.374 3.1619519

0.053224886 27 -2.273 -3.647703

0.057065877 28 -2.172 -8.895811

0.063887392 29 -2.071 -12.75165

0.073975413 30 -1.97 -15.37675

0.087454646 31 -1.869 -16.92495

0.10424235 32 -1.768 -17.54233

0.124010736 33 -1.667 -17.36726

0.146163515 34 -1.566 -16.53037

0.169831695 35 -1.465 -15.15457

0.193892604 36 -1.364 -13.35505

0.217014283 37 -1.263 -11.23926

0.237724981 38 -1.162 -8.906939

0.254504737 39 -1.061 -6.450076

0.265893241 40 -0.96 -3.952952

0.270605628 41 -0.859 -1.492113

0.273565175 42 -0.758 0.863619

0.28480307 43 -0.657 3.0531514

0.304459893 44 -0.556 5.0231174

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.332167001 45 -0.455 6.7278778

0.367042538 46 -0.354 8.1295201

0.407729512 47 -0.253 9.1978591

0.452474443 48 -0.152 9.9104368

0.499240841 49 -0.051 10.252522

0.545848067 50 0.05 10.217111

0.590123331 51 0.151 9.8049261

0.630053166 52 0.252 9.0244182

0.663920703 53 0.353 7.8917642

0.690416692 54 0.454 6.4308686

0.708714991 55 0.555 4.6733626

0.718507083 56 0.656 2.6586047

0.719994395 57 0.757 0.4336805

0.726147413 58 0.858 -1.946597

0.738892816 59 0.959 -4.41969

0.756902008 60 1.06 -6.915329

0.778681047 61 1.161 -9.355522

0.802687344 62 1.262 -11.65455

0.827437601 63 1.363 -13.71896

0.85159875 64 1.464 -15.44758

0.874056205 65 1.565 -16.7315

0.893956586 66 1.666 -17.45411

0.910724813 67 1.767 -17.49104

0.924057907 68 1.868 -16.7102

0.933899617 69 1.969 -14.9718

0.94040111 70 2.07 -12.12828

0.943873375 71 2.171 -8.024393

0.944736751 72 2.272 -2.497138

0.946001256 73 2.373 4.6242012

0.948895231 74 2.474 13.51807

0.952938318 75 2.575 24.370642

0.957694654 76 2.676 37.375817

0.96279017 77 2.777 52.735222

0.967921444 78 2.878 70.658212

0.972857415 79 2.979 91.361866

0.977435547 80 3.08 115.07099

0.981554158 81 3.181 142.01813

0.985162505 82 3.282 172.44354

0.988249995 83 3.383 206.59521

0.990835613 84 3.484 244.72885

0.99295831 85 3.585 287.10792

0.994668827 86 3.686 334.00358

0.996023152 87 3.787 385.69473

0.997077622 88 3.888 442.46799

0.997885521 89 3.989 504.61772

0.998494976 90 4.09 572.44599

0.998947872 91 4.191 646.26262

0.999279544 92 4.292 726.38513

0.999519001 93 4.393 813.13878

0.999689489 94 4.494 906.85657

0.999809225 95 4.595 1007.8792

0.999892196 96 4.696 1116.5551
0.999948936 97 4.797 1233.2405

0.999987238 98 4.898 1358.2992 1 99 4.999 1492.1029
distribution of Z

Normal 

distribution

1.48672E-06 0.002180093

2.45094E-06 0.003270142

3.9995E-06 0.004842503

6.46025E-06 0.007077959

1.03291E-05 0.010209278

1.63472E-05 0.014528967

2.56093E-05 0.020394772

3.97118E-05 0.028230904

6.09553E-05 0.03852234

9.26132E-05 0.051799056

0.000139285 0.068606658

0.000207351 0.089459897

0.000305546 0.114776032

0.000445674 0.144786276

0.000643469 0.179425611

0.000919619 0.218204398

0.001300942 0.260069199

0.001821704 0.303265026

0.002525035 0.345216373

0.003464389 0.382449135

0.004704958 0.410579148

0.006324913 0.424394365

0.008416337 0.418055708

0.011085658 0.385435296

0.014453386 0.32059959

0.018652949 0.218428866

0.023828414 0.0753443

0.030130931 -0.109908676

0.03771375 -0.335494403

0.046725789 -0.595830755

0.057303789 -0.881146276

0.069563239 -1.177354496

0.083588399 -1.466335489

0.099421884 -1.726685584

0.117054396 -1.934952309

0.136415346 -2.067316187

0.157365126 -2.101619447

0.179689839 -2.019581663

0.203099244 -1.80899255

0.227228529 -1.465641362

0.251644341 -0.994737986

0.275855243 -0.411607273

0.299326439 0.258503999

0.321498297 0.981582972

0.341807853 1.716940987



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 2.420099661

0.37471238 3.046231818

0.386376486 3.553836491

0.394360216 3.908282001

0.398423793 4.084848706

0.398443914 4.07094559

0.394419966 3.867258607

0.386474058 3.487703506

0.374844865 2.958187293

0.359875719 2.314313453

0.34199778 1.598279635

0.32170943 0.855298212

0.299553264 0.12991041

0.276092166 -0.537440318

0.25188591 -1.113257526

0.227469632 -1.573027337

0.203335281 -1.902307664

0.17991684 -2.096849336

0.157579839 -2.161831115

0.136615273 -2.110374965

0.117237788 -1.961564548

0.099587708 -1.73821478

0.083736272 -1.464634236

0.069693339 -1.164589833

0.05741676 -0.859632073

0.046822635 -0.567878112

0.037795734 -0.303287809

0.030199481 -0.075412267

0.023885038 0.110449222

0.018699163 0.252776596

0.014490659 0.353146673

0.011115369 0.415446003

0.008439746 0.445071897

0.006343145 0.448195301

0.004718997 0.431136358

0.003475077 0.399880607

0.002533081 0.359743391

0.001827693 0.315173921

0.001305351 0.269679335

0.000922829 0.225842899

0.00064578 0.185408671

0.00044732 0.149406451

0.000306705 0.118294637

0.000208159 0.092103493

0.000139842 0.070566632

9.29928E-05 0.053233353

6.12113E-05 0.039558563

3.98826E-05 0.028970124

2.5722E-05 0.020915574

1.64209E-05 0.014891388

1.03767E-05 0.010458425

6.49066E-06 0.007247178
4.01874E-06 0.004956068

2.46298E-06 0.003345457

1.49417E-06 0.002229457
Absolute values

0.002180093 0.000110095

0.003270142 0.000330284

0.004842503 0.000489093

0.007077959 0.000714874

0.010209278 0.001031137

0.014528967 0.001467426

0.020394772 0.002059872

0.028230904 0.002851321

0.03852234 0.003890756

0.051799056 0.005231705

0.068606658 0.006929273

0.089459897 0.00903545

0.114776032 0.011592379

0.144786276 0.014623414

0.179425611 0.018121987

0.218204398 0.022038644

0.260069199 0.026266989

0.303265026 0.030629768

0.345216373 0.034866854

0.382449135 0.038627363

0.410579148 0.041468494

0.424394365 0.042863831

0.418055708 0.042223626

0.385435296 0.038928965

0.32059959 0.032380559

0.218428866 0.022061315

0.0753443 0.007609774

0.109908676 0.011100776

0.335494403 0.033884935

0.595830755 0.060178906

0.881146276 0.088995774

1.177354496 0.118912804

1.466335489 0.148099884

1.726685584 0.174395244

1.934952309 0.195430183

2.067316187 0.208798935

2.101619447 0.212263564

2.019581663 0.203977748

1.80899255 0.182708248

1.465641362 0.148029778

0.994737986 0.100468537

0.411607273 0.041572335

0.258503999 0.026108904

0.981582972 0.09913988

1.716940987 0.17341104



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
2.420099661 0.244430066

3.046231818 0.307669414

3.553836491 0.358937486

3.908282001 0.394736482

4.084848706 0.412569719

4.07094559 0.411165505

3.867258607 0.390593119

3.487703506 0.352258054

2.958187293 0.298776917

2.314313453 0.233745659

1.598279635 0.161426243

0.855298212 0.086385119

0.12991041 0.013120951

0.537440318 0.054281472

1.113257526 0.11243901

1.573027337 0.158875761

1.902307664 0.192133074

2.096849336 0.211781783

2.161831115 0.218344943

2.110374965 0.213147871

1.961564548 0.198118019

1.73821478 0.175559693

1.464634236 0.147928058

1.164589833 0.117623573

0.859632073 0.086822839

0.567878112 0.057355689

0.303287809 0.030632069

0.075412267 0.007616639

0.110449222 0.011155371

0.252776596 0.025530436

0.353146673 0.035667814

0.415446003 0.041960046

0.445071897 0.044952262

0.448195301 0.045267725

0.431136358 0.043544772

0.399880607 0.040387941

0.359743391 0.036334083

0.315173921 0.031832566

0.269679335 0.027237613

0.225842899 0.022810133

0.185408671 0.018726276

0.149406451 0.015090052

0.118294637 0.011947758

0.092103493 0.009302453

0.070566632 0.00712723

0.053233353 0.005376569

0.039558563 0.003995415

0.028970124 0.002925983

0.020915574 0.002112473

0.014891388 0.00150403

0.010458425 0.001056301

0.007247178 0.000731965
0.004956068 0.000500563

0.003345457 0.000337891

0.002229457 0.000112588
Cumulative normalization

0.000110095 1.24797E-05

0.000440379 4.99187E-05

0.000929472 0.000105359

0.001644346 0.000186393

0.002675483 0.000303276

0.004142908 0.000469615

0.00620278 0.00070311

0.009054102 0.001026318

0.012944858 0.001467351

0.018176563 0.002060385

0.025105835 0.002845845

0.034141285 0.003870049

0.045733664 0.00518409

0.060357078 0.006841712

0.078479064 0.00889591

0.100517709 0.011394077

0.126784698 0.014371544

0.157414465 0.017843548

0.192281319 0.021795843

0.230908682 0.026174406

0.272377176 0.030875023

0.315241007 0.035733807

0.357464633 0.040520021

0.396393598 0.044932772

0.428774157 0.048603235

0.450835472 0.051103972

0.458445246 0.05196657

0.469546023 0.053224886

0.503430957 0.057065877

0.563609863 0.063887392

0.652605637 0.073975413

0.771518441 0.087454646

0.919618326 0.10424235

1.09401357 0.124010736

1.289443753 0.146163515

1.498242688 0.169831695

1.710506252 0.193892604

1.914484 0.217014283

2.097192248 0.237724981

2.245222025 0.254504737

2.345690562 0.265893241

2.387262896 0.270605628

2.4133718 0.273565175

2.51251168 0.28480307

2.68592272 0.304459893

2 ( ) ( )

i

f x f b



  



 
2.930352786 0.332167001

3.2380222 0.367042538

3.596959685 0.407729512

3.991696167 0.452474443

4.404265887 0.499240841

4.815431391 0.545848067

5.20602451 0.590123331

5.558282565 0.630053166

5.857059481 0.663920703

6.09080514 0.690416692

6.252231383 0.708714991

6.338616502 0.718507083

6.351737454 0.719994395

6.406018926 0.726147413

6.518457936 0.738892816

6.677333697 0.756902008

6.869466771 0.778681047

7.081248554 0.802687344

7.299593497 0.827437601

7.512741368 0.85159875

7.710859387 0.874056205

7.88641908 0.893956586

8.034347138 0.910724813

8.151970711 0.924057907

8.238793551 0.933899617

8.29614924 0.94040111

8.326781309 0.943873375

8.334397948 0.944736751

8.345553319 0.946001256

8.371083755 0.948895231

8.406751569 0.952938318

8.448711615 0.957694654

8.493663877 0.96279017

8.538931602 0.967921444

8.582476375 0.972857415

8.622864316 0.977435547

8.659198398 0.981554158

8.691030964 0.985162505

8.718268577 0.988249995

8.74107871 0.990835613

8.759804986 0.99295831

8.774895037 0.994668827

8.786842796 0.996023152

8.796145248 0.997077622

8.803272478 0.997885521

8.808649047 0.998494976

8.812644462 0.998947872

8.815570444 0.999279544

8.817682917 0.999519001

8.819186947 0.999689489

8.820243248 0.999809225

8.820975213 0.999892196
8.821475776 0.999948936

8.821813667 0.999987238

8.821926255 1

444.5585754
Appendix E-4b (i): Biomass Dutch Oven/Pile Burner TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Wet BiomassDutch Oven/Pile Burner No 1 WAWeyerhaeuser_Raymond

YES Yes Wet BiomassDutch Oven/Pile Burner No 1 WAWeyerhaeuser_Raymond

YES Yes Wet BiomassDutch Oven/Pile Burner No 1 WAWeyerhaeuser_Raymond
UnitID Data Source Source Tab Pollutant

Data 

Type

Hog Fuel Boiler EU1 ICR Phase II - Templates Metals TSM8 ET

Hog Fuel Boiler EU1 ICR Phase II - Templates Metals TSM8 ET

Hog Fuel Boiler EU1 ICR Phase II - Templates Metals TSM8 ET
Run Number Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

Sample #1 8/11/2009 2.34242E-05 -10.66174004 0

Sample #2 8/11/2009 1.38818E-05 -11.18492999 0

Sample #3 8/12/2009 9.24988E-06 -11.59089953 0
Appendix E-4b (ii): Biomass Dutch Oven/Pile 

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -11.14585652

Variance of natural log of 

test runs (σ2) 0.216979393

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 7.846688818

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.176154768

Flatness of z distribution 

(β2z) 46.54428845

Skewness of z distribution 

(√β1z) 0.921485136
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990829339 0.999282262 0.996028787

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 1.60891E-05

exp (2μ + σ2) 2.5886E-10

exp (σ2) - 1 0.242318501

(σ2/n) + [σ4/(2(n - 1))] 0.084096479

Square root term 1.95985E-05

Confidence Level 99% 99.9% 99.5%

UPL 3.88E-05 4.41E-05 4.08E-05

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 9.67E-01 3.75E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-4b (ii): Biomass Dutch Oven/Pile Burner TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Dutch Oven/Pile Burner Wet Biomass 1 WAWeyerhaeuser_Raymond Hog Fuel Boiler EU1 ICR Phase II - Templates Metals

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 1.55186E-05 -11.07346844 3 2 ET Hog Fuel
Appendix E-4b (iii): Biomass Dutch Oven/Pile Burner Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 46.544288 0.9214851

1.21587E-05 -5 =f(a) 851.36318

4.86259E-05 1 -4.899 774.45515

0.000102613 2 -4.798 702.60973

0.000181502 3 -4.697 635.61036

0.000295258 4 -4.596 573.24499

0.000457097 5 -4.495 515.30611

0.000684203 6 -4.394 461.59075

0.00099846 7 -4.293 411.90046

0.001427122 8 -4.192 366.04131

0.002003298 9 -4.091 323.82394

0.002766113 10 -3.99 285.06348

0.003760346 11 -3.889 249.5796

0.005035325 12 -3.788 217.19653

0.006642838 13 -3.687 187.743

0.008633823 14 -3.586 161.05227

0.011053638 15 -3.485 136.96216

0.013935793 16 -3.384 115.315

0.017294182 17 -3.283 95.957647

0.021114016 18 -3.182 78.741502

0.025341945 19 -3.081 63.522493

0.029876098 20 -2.98 50.161077

0.034557109 21 -2.879 38.522244

0.039161458 22 -2.778 28.475517

0.043398647 23 -2.677 19.894946

0.046913819 24 -2.576 12.659117

0.049297331 25 -2.475 6.6511427

0.050102437 26 -2.374 1.7586703

0.0513332 27 -2.273 -2.126123

0.055033178 28 -2.172 -5.106529

0.061569592 29 -2.071 -7.281307

0.071196818 30 -1.97 -8.744688

0.084008537 31 -1.869 -9.586367

0.099893357 32 -1.768 -9.891513

0.118499158 33 -1.667 -9.74076

0.139211581 34 -1.566 -9.210212

0.161151603 35 -1.465 -8.371442

0.183196011 36 -1.364 -7.291492

0.204022745 37 -1.263 -6.032872

0.222180712 38 -1.162 -4.653561

0.236180976 39 -1.061 -3.207006

0.24460346 40 -0.96 -1.742126

0.246210893 41 -0.859 -0.303304

0.25236184 42 -0.758 1.0696049

0.266823067 43 -0.657 2.3412777

0.289681685 44 -0.556 3.4809228

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.320519635 45 -0.455 4.4622797

0.35841238 46 -0.354 5.2636194

0.401969121 47 -0.253 5.8677439

0.449412843 48 -0.152 6.2619863

0.498694356 49 -0.051 6.4382112

0.547630847 50 0.05 6.3928143

0.594056782 51 0.151 6.1267226

0.635973588 52 0.252 5.6453944

0.671684699 53 0.353 4.958819

0.699904095 54 0.454 4.0815172

0.719829332 55 0.555 3.0325408

0.731173832 56 0.656 1.8354731

0.734157403 57 0.757 0.5184284

0.73885673 58 0.858 -0.885948

0.750182873 59 0.959 -2.340478

0.766804567 60 1.06 -3.803455

0.787230174 61 1.161 -5.228639

0.809923454 62 1.262 -6.56526

0.833410306 63 1.363 -7.758015

0.856368381 64 1.464 -8.747072

0.877694039 65 1.565 -9.468066

0.896543901 66 1.666 -9.852102

0.91235103 67 1.767 -9.825753

0.924818088 68 1.868 -9.311061

0.933891623 69 1.969 -8.225537

0.939722705 70 2.07 -6.48216

0.942619526 71 2.171 -3.989379

0.942997297 72 2.272 -0.651111

0.944664528 73 2.373 3.6332582

0.947886588 74 2.474 8.9688745

0.952192084 75 2.575 15.465414

0.957154339 76 2.676 23.237085

0.962408256 77 2.777 32.402627

0.967658837 78 2.878 43.085309

0.972682661 79 2.979 55.412934

0.977323904 80 3.08 69.517834

0.981486612 81 3.181 85.536873

0.985124795 82 3.282 103.61145

0.988231703 83 3.383 123.88748

0.990829339 84 3.484 146.51544

0.992958963 85 3.585 171.6503

0.994673036 86 3.686 199.45159

0.996028787 87 3.787 230.08336

0.99708342 88 3.888 263.71419

0.997890803 89 3.989 300.51719

0.998499438 90 4.09 340.67002

0.998951437 91 4.191 384.35485

0.999282262 92 4.292 431.75838

0.999520982 93 4.393 483.07186

0.999690865 94 4.494 538.49105

0.999810124 95 4.595 598.21626

0.999892731 96 4.696 662.45231
0.999949201 97 4.797 731.40858

0.999987307 98 4.898 805.29896 1 99 4.999 884.34187
distribution of Z

Normal 

distribution

1.48672E-06 0.001265738

2.45094E-06 0.001898143

3.9995E-06 0.00281009

6.46025E-06 0.0041062

1.03291E-05 0.005921098

1.63472E-05 0.008423836

2.56093E-05 0.011820998

3.97118E-05 0.016357295

6.09553E-05 0.022312141

9.26132E-05 0.029990367

0.000139285 0.03970506

0.000207351 0.051750504

0.000305546 0.066363511

0.000445674 0.083672155

0.000643469 0.103632164

0.000919619 0.125953017

0.001300942 0.150018146

0.001821704 0.174806415

0.002525035 0.198825014

0.003464389 0.220066616

0.004704958 0.236005735

0.006324913 0.243649835

0.008416337 0.239659556

0.011085658 0.220548581

0.014453386 0.182967107

0.018652949 0.124063424

0.023828414 0.041906326

0.030130931 -0.064062066

0.03771375 -0.192586354

0.046725789 -0.34022484

0.057303789 -0.501103741

0.069563239 -0.666858765

0.083588399 -0.826815746

0.099421884 -0.968444702

0.117054396 -1.078095807

0.136415346 -1.141993192

0.157365126 -1.147426565

0.179689839 -1.084045767

0.203099244 -0.945134652

0.227228529 -0.728723346

0.251644341 -0.438396065

0.275855243 -0.083667958

0.299326439 0.320161023

0.321498297 0.752716777

0.341807853 1.189806732



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 1.605136431

0.37471238 1.972343369

0.386376486 2.26715825

0.394360216 2.469478254

0.398423793 2.56513651

0.398443914 2.547177946

0.394419966 2.41650173

0.386474058 2.181798475

0.374844865 1.858787836

0.359875719 1.468838925

0.34199778 1.037122225

0.32170943 0.590488996

0.299553264 0.155296907

0.276092166 -0.244603223

0.25188591 -0.5895335

0.227469632 -0.865170563

0.203335281 -1.063166827

0.17991684 -1.181200786

0.157579839 -1.22250674

0.136615273 -1.194983582

0.117237788 -1.110015091

0.099587708 -0.981148239

0.083736272 -0.822771916

0.069693339 -0.648918928

0.05741676 -0.472283682

0.046822635 -0.303511831

0.037795734 -0.150781526

0.030199481 -0.019663225

0.023885038 0.08678051

0.018699163 0.167710443

0.014490659 0.224104047

0.011115369 0.258288779

0.008439746 0.27346995

0.006343145 0.273296376

0.004718997 0.261493461

0.003475077 0.241579852

0.002533081 0.216671806

0.001827693 0.18936996

0.001305351 0.161716693

0.000922829 0.135208702

0.00064578 0.110848399

0.00044732 0.089218666

0.000306705 0.070567797

0.000208159 0.054894361

0.000139842 0.042024855

9.29928E-05 0.031679858

6.12113E-05 0.023526853

3.98826E-05 0.017219645

2.5722E-05 0.012425585

1.64209E-05 0.0088425

1.03767E-05 0.00620749

6.49066E-06 0.004299752
4.01874E-06 0.002939338

2.46298E-06 0.001983431

1.49417E-06 0.001321358
Absolute values

0.001265738 6.39198E-05

0.001898143 0.000191712

0.00281009 0.000283819

0.0041062 0.000414726

0.005921098 0.000598031

0.008423836 0.000850807

0.011820998 0.001193921

0.016357295 0.001652087

0.022312141 0.002253526

0.029990367 0.003029027

0.03970506 0.004010211

0.051750504 0.005226801

0.066363511 0.006702715

0.083672155 0.008450888

0.103632164 0.010466849

0.125953017 0.012721255

0.150018146 0.015151833

0.174806415 0.017655448

0.198825014 0.020081326

0.220066616 0.022226728

0.236005735 0.023836579

0.243649835 0.024608633

0.239659556 0.024205615

0.220548581 0.022275407

0.182967107 0.018479678

0.124063424 0.012530406

0.041906326 0.004232539

0.064062066 0.006470269

0.192586354 0.019451222

0.34022484 0.034362709

0.501103741 0.050611478

0.666858765 0.067352735

0.826815746 0.08350839

0.968444702 0.097812915

1.078095807 0.108887677

1.141993192 0.115341312

1.147426565 0.115890083

1.084045767 0.109488623

0.945134652 0.0954586

0.728723346 0.073601058

0.438396065 0.044278003

0.083667958 0.008450464

0.320161023 0.032336263

0.752716777 0.076024394

1.189806732 0.12017048



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
1.605136431 0.16211878

1.972343369 0.19920668

2.26715825 0.228982983

2.469478254 0.249417304

2.56513651 0.259078788

2.547177946 0.257264973

2.41650173 0.244066675

2.181798475 0.220361646

1.858787836 0.187737571

1.468838925 0.148352731

1.037122225 0.104749345

0.590488996 0.059639389

0.155296907 0.015684988

0.244603223 0.024704926

0.5895335 0.059542883

0.865170563 0.087382227

1.063166827 0.10737985

1.181200786 0.119301279

1.22250674 0.123473181

1.194983582 0.120693342

1.110015091 0.112111524

0.981148239 0.099095972

0.822771916 0.083099964

0.648918928 0.065540812

0.472283682 0.047700652

0.303511831 0.030654695

0.150781526 0.015228934

0.019663225 0.001985986

0.08678051 0.008764832

0.167710443 0.016938755

0.224104047 0.022634509

0.258288779 0.026087167

0.27346995 0.027620465

0.273296376 0.027602934

0.261493461 0.02641084

0.241579852 0.024399565

0.216671806 0.021883852

0.18936996 0.019126366

0.161716693 0.016333386

0.135208702 0.013656079

0.110848399 0.011195688

0.089218666 0.009011085

0.070567797 0.007127347

0.054894361 0.005544331

0.042024855 0.00424451

0.031679858 0.003199666

0.023526853 0.002376212

0.017219645 0.001739184

0.012425585 0.001254984

0.0088425 0.000893092

0.00620749 0.000626956

0.004299752 0.000434275
0.002939338 0.000296873

0.001983431 0.000200327

0.001321358 6.67286E-05
Cumulative normalization

6.39198E-05 1.21587E-05

0.000255632 4.86259E-05

0.000539451 0.000102613

0.000954177 0.000181502

0.001552208 0.000295258

0.002403016 0.000457097

0.003596937 0.000684203

0.005249023 0.00099846

0.00750255 0.001427122

0.010531577 0.002003298

0.014541788 0.002766113

0.019768589 0.003760346

0.026471303 0.005035325

0.034922191 0.006642838

0.045389039 0.008633823

0.058110294 0.011053638

0.073262127 0.013935793

0.090917575 0.017294182

0.110998901 0.021114016

0.133225629 0.025341945

0.157062208 0.029876098

0.181670842 0.034557109

0.205876457 0.039161458

0.228151864 0.043398647

0.246631541 0.046913819

0.259161947 0.049297331

0.263394486 0.050102437

0.269864755 0.0513332

0.289315977 0.055033178

0.323678685 0.061569592

0.374290163 0.071196818

0.441642899 0.084008537

0.525151289 0.099893357

0.622964204 0.118499158

0.73185188 0.139211581

0.847193193 0.161151603

0.963083276 0.183196011

1.072571898 0.204022745

1.168030498 0.222180712

1.241631556 0.236180976

1.285909559 0.24460346

1.294360022 0.246210893

1.326696286 0.25236184

1.40272068 0.266823067

1.52289116 0.289681685

2 ( ) ( )

i

f x f b



  



 
1.68500994 0.320519635

1.88421662 0.35841238

2.113199603 0.401969121

2.362616907 0.449412843

2.621695694 0.498694356

2.878960667 0.547630847

3.123027342 0.594056782

3.343388988 0.635973588

3.531126559 0.671684699

3.67947929 0.699904095

3.784228635 0.719829332

3.843868024 0.731173832

3.859553011 0.734157403

3.884257937 0.73885673

3.94380082 0.750182873

4.031183047 0.766804567

4.138562897 0.787230174

4.257864176 0.809923454

4.381337357 0.833410306

4.502030699 0.856368381

4.614142223 0.877694039

4.713238195 0.896543901

4.796338159 0.91235103

4.86187897 0.924818088

4.909579622 0.933891623

4.940234317 0.939722705

4.955463251 0.942619526

4.957449237 0.942997297

4.966214069 0.944664528

4.983152823 0.947886588

5.005787332 0.952192084

5.031874499 0.957154339

5.059494964 0.962408256

5.087097898 0.967658837

5.113508737 0.972682661

5.137908302 0.977323904

5.159792155 0.981486612

5.17891852 0.985124795

5.195251906 0.988231703

5.208907985 0.990829339

5.220103674 0.992958963

5.229114759 0.994673036

5.236242106 0.996028787

5.241786437 0.99708342

5.246030947 0.997890803

5.249230613 0.998499438

5.251606825 0.998951437

5.253346009 0.999282262

5.254600993 0.999520982

5.255494086 0.999690865

5.256121042 0.999810124

5.256555317 0.999892731
5.25685219 0.999949201

5.257052517 0.999987307

5.257119246 1

264.3329514
Appendix E-4c (i): Biomass Fluidized Bed Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Wet BiomassFB no 3 GATempleInlandRome

YES Yes Wet BiomassFB no 3 GATempleInlandRome

YES Yes Wet BiomassFB no 3 GATempleInlandRome
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

WF ICR Phase II - ERT ERT Particulate Matter (PM) filterable ET 1

WF ICR Phase II - ERT ERT Particulate Matter (PM) filterable ET 2

WF ICR Phase II - ERT ERT Particulate Matter (PM) filterable ET 3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

7/27/2009 7.56E-03 -4.884382042 0

7/28/2009 6.85E-03 -4.983863293 0

7/28/2009 5.54E-03 -5.195883139 0
Appendix E-4c (ii): Biomass Fluidized Bed Filt

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -5.021376158

Variance of natural log of 

test runs (σ2) 0.025313645

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.420148265

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.00197173

Flatness of z distribution 

(β2z) 1736.59287

Skewness of z distribution 

(√β1z) 0.279696924
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815677 0.999274711 0.996005903

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.006679452

exp (2μ + σ2) 4.46151E-05

exp (σ2) - 1 0.025636755

(σ2/n) + [σ4/(2(n - 1))] 0.008598077

Square root term 0.002623698

Confidence Level 99% 99.9% 99.5%

UPL 9.73E-03 1.04E-02 9.99E-03

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -8.33E-01 -1.00E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-4c (ii): Biomass Fluidized Bed Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

FB Wet Biomass 3 GATempleInlandRomeWF ICR Phase II - ERT ERT

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.006650225 -5.013104547 3 2 ET Wood: Bark
Appendix E-4c (iii): Biomass Fluidized Bed Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 1736.5929 0.2796969

1.28124E-05 -5 =f(a) 34523.264

5.12569E-05 1 -4.899 31418.185

0.000108198 2 -4.798 28516.479

0.000191441 3 -4.697 25809.487

0.000311537 4 -4.596 23288.729

0.000482485 5 -4.495 20945.906

0.000722506 6 -4.394 18772.9

0.001054828 7 -4.293 16761.773

0.001508411 8 -4.192 14904.766

0.002118481 9 -4.091 13194.303

0.002926726 10 -3.99 11622.986

0.003980936 11 -3.889 10183.599

0.005333871 12 -3.788 8869.1066

0.007041066 13 -3.687 7672.652

0.009157345 14 -3.586 6587.5602

0.011731799 15 -3.485 5607.3362

0.014801114 16 -3.384 4725.6655

0.018381247 17 -3.283 3936.4139

0.022457657 18 -3.182 3233.6278

0.026974581 19 -3.081 2611.5336

0.031824107 20 -2.98 2064.5386

0.036836152 21 -2.879 1587.2301

0.041770739 22 -2.778 1174.3759

0.046314183 23 -2.677 820.92438

0.05008091 24 -2.576 522.00409

0.052622526 25 -2.475 272.9241

0.053445445 26 -2.374 69.173822

0.054853118 27 -2.273 -93.57689

0.0589856 28 -2.172 -219.4778

0.066275555 29 -2.071 -312.4983

0.077044796 30 -1.97 -376.4274

0.091453207 31 -1.869 -414.8735

0.109450649 32 -1.768 -431.265

0.130737308 33 -1.667 -428.8496

0.15473819 34 -1.566 -410.6945

0.180597055 35 -1.465 -379.687

0.207193925 36 -1.364 -338.5334

0.233188486 37 -1.263 -289.76

0.25708924 38 -1.162 -235.7126

0.277345492 39 -1.061 -178.5565

0.292456365 40 -0.96 -120.2768

0.301088477 41 -0.859 -62.67802

0.302191992 42 -0.758 -7.384358

0.309280128 43 -0.657 44.160383

0.324756725 44 -0.556 90.692816

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.348306002 45 -0.455 131.12994

0.379092981 46 -0.354 164.56917

0.41579951 47 -0.253 190.2883

0.456701584 48 -0.152 207.74553

0.499782315 49 -0.051 216.57945

0.542871115 50 0.05 216.60908

0.583796767 51 0.151 207.83379

0.620540561 52 0.252 190.43339

0.651375646 53 0.353 164.76807

0.67498027 54 0.454 131.37841

0.690515424 55 0.555 90.985403

0.697661227 56 0.656 44.490442

0.69871179 57 0.757 -7.024693

0.707298909 58 0.858 -62.29782

0.722375187 59 0.959 -119.8863

0.742608732 60 1.06 -178.1673

0.766499168 61 1.161 -235.3373

0.792495362 62 1.262 -289.4126

0.819104572 63 1.363 -338.229

0.844984617 64 1.464 -379.4418

0.869013253 65 1.565 -410.5263

0.890331803 66 1.666 -428.7769

0.908362878 67 1.767 -431.3079

0.922804487 68 1.868 -415.0532

0.93360467 69 1.969 -376.7661

0.940921925 70 2.07 -313.0198

0.945077146 71 2.171 -220.2068

0.946502533 72 2.272 -94.5394

0.947312821 73 2.373 67.950578

0.949846615 74 2.474 271.41168

0.953609807 75 2.575 520.17287

0.958153325 76 2.676 818.7435

0.96309084 77 2.777 1171.8133

0.968107903 78 2.878 1584.2525

0.972963826 79 2.979 2061.1115

0.977487898 80 3.08 2607.6214

0.981571691 81 3.181 3229.1935

0.985159037 82 3.282 3931.4195

0.988235109 83 3.383 4720.0716

0.990815677 84 3.484 5601.1023

0.992937328 85 3.585 6580.6445

0.994649122 86 3.686 7665.0117

0.996005903 87 3.787 8860.6975

0.997063263 88 3.888 10174.376

0.997874034 89 3.989 11612.902

0.998486094 90 4.09 13183.31

0.998941217 91 4.191 14892.816

0.999274711 92 4.292 16748.814

0.999515609 93 4.393 18758.883

0.999687203 94 4.494 20930.777

0.999807768 95 4.595 23272.434

0.999891346 96 4.696 25791.971
0.999948523 97 4.797 28497.687

0.999987131 98 4.898 31398.058 1 99 4.999 34501.744
distribution of Z

Normal 

distribution

1.48672E-06 0.05132641

2.45094E-06 0.077004078

3.9995E-06 0.114051735

6.46025E-06 0.166735656

1.03291E-05 0.240551338

1.63472E-05 0.342407908

2.56093E-05 0.480760088

3.97118E-05 0.665639594

6.09553E-05 0.908523761

9.26132E-05 1.221966401

0.000139285 1.618907333

0.000207351 2.111576382

0.000305546 2.709919203

0.000445674 3.419500771

0.000643469 4.2388915

0.000919619 5.156613269

0.001300942 6.147817504

0.001821704 7.170980422

0.002525035 8.165021819

0.003464389 9.047368052

0.004704958 9.71356635

0.006324913 10.03909174

0.008416337 9.883943958

0.011085658 9.100487339

0.014453386 7.544726927

0.018652949 5.090839199

0.023828414 1.648302499

0.030130931 -2.819558907

0.03771375 -8.277331562

0.046725789 -14.60173077

0.057303789 -21.57071484

0.069563239 -28.85994762

0.083588399 -36.04875245

0.099421884 -42.63703067

0.117054396 -48.07360155

0.136415346 -51.79512762

0.157365126 -53.27334753

0.179689839 -52.06692541

0.203099244 -47.87304476

0.227228529 -40.5731332

0.251644341 -30.2669751

0.275855243 -17.2900591

0.299326439 -2.210333612

0.321498297 14.19748803

0.341807853 30.9995166



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 47.16903954

0.37471238 61.66610574

0.386376486 73.52292412

0.394360216 81.926571

0.398423793 86.29040787

0.398443914 86.30656887

0.394419966 81.97379732

0.386474058 73.59756536

0.374844865 61.76246326

0.359875719 47.27989862

0.34199778 31.11680593

0.32170943 14.31299459

0.299553264 -2.10426965

0.276092166 -17.19993901

0.25188591 -30.19768143

0.227469632 -40.52765097

0.203335281 -47.85237751

0.17991684 -52.0701974

0.157579839 -53.29806397

0.136615273 -51.83755087

0.117237788 -48.12919324

0.099587708 -42.70090894

0.083736272 -36.11611817

0.069693339 -28.92644314

0.05741676 -21.63269112

0.046822635 -14.65641185

0.037795734 -8.322877855

0.030199481 -2.855040795

0.023885038 1.623002141

0.018699163 5.075171197

0.014490659 7.53764778

0.011115369 9.100636111

0.008439746 9.889807083

0.006343145 10.04914363

0.004718997 9.726378835

0.003475077 9.061686226

0.002533081 8.179807872

0.001827693 7.185429578

0.001305351 6.161351877

0.000922829 5.168860006

0.00064578 4.249651339

0.00044732 3.428712352

0.000306705 2.717623344

0.000208159 2.117883304

0.000139842 1.623968675

9.29928E-05 1.225952844

6.12113E-05 0.911608335

3.98826E-05 0.66798619

2.5722E-05 0.482516401

1.64209E-05 0.34370189

1.03767E-05 0.24149025

6.49066E-06 0.167406884
4.01874E-06 0.114524691

2.46298E-06 0.077332636

1.49417E-06 0.051551504
Absolute values

0.05132641 0.002591984

0.077004078 0.007777412

0.114051735 0.011519225

0.166735656 0.016840301

0.240551338 0.024295685

0.342407908 0.034583199

0.480760088 0.048556769

0.665639594 0.067229599

0.908523761 0.0917609

1.221966401 0.123418606

1.618907333 0.163509641

2.111576382 0.213269215

2.709919203 0.27370184

3.419500771 0.345369578

4.2388915 0.428128041

5.156613269 0.52081794

6.147817504 0.620929568

7.170980422 0.724269023

8.165021819 0.824667204

9.047368052 0.913784173

9.71356635 0.981070201

10.03909174 1.013948265

9.883943958 0.99827834

9.100487339 0.919149221

7.544726927 0.76201742

5.090839199 0.514174759

1.648302499 0.166478552

2.819558907 0.28477545

8.277331562 0.836010488

14.60173077 1.474774808

21.57071484 2.178642198

28.85994762 2.914854709

36.04875245 3.640923998

42.63703067 4.306340097

48.07360155 4.855433757

51.79512762 5.231307889

53.27334753 5.3806081

52.06692541 5.258759467

47.87304476 4.83517752

40.5731332 4.097886453

30.2669751 3.056964485

17.2900591 1.746295969

2.210333612 0.223243695

14.19748803 1.433946291

30.9995166 3.130951177



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
47.16903954 4.764072993

61.66610574 6.22827668

73.52292412 7.425815336

81.926571 8.274583671

86.29040787 8.715331195

86.30656887 8.716963456

81.97379732 8.279353529

73.59756536 7.433354102

61.76246326 6.238008789

47.27989862 4.77526976

31.11680593 3.142797399

14.31299459 1.445612454

2.10426965 0.212531235

17.19993901 1.73719384

30.19768143 3.049965824

40.52765097 4.093292748

47.85237751 4.833090128

52.0701974 5.259089937

53.29806397 5.383104461

51.83755087 5.235592638

48.12919324 4.861048518

42.70090894 4.312791803

36.11611817 3.647727935

28.92644314 2.921570757

21.63269112 2.184901803

14.65641185 1.480297597

8.322877855 0.840610663

2.855040795 0.28835912

1.623002141 0.163923216

5.075171197 0.512592291

7.53764778 0.761302426

9.100636111 0.919164247

9.889807083 0.998870515

10.04914363 1.014963507

9.726378835 0.982364262

9.061686226 0.915230309

8.179807872 0.826160595

7.185429578 0.725728387

6.161351877 0.62229654

5.168860006 0.522054861

4.249651339 0.429214785

3.428712352 0.346299948

2.717623344 0.274479958

2.117883304 0.213906214

1.623968675 0.164020836

1.225952844 0.123821237

0.911608335 0.092072442

0.66798619 0.067466605

0.482516401 0.048734156

0.34370189 0.034713891

0.24149025 0.024390515

0.167406884 0.016908095
0.114524691 0.011566994

0.077332636 0.007810596

0.051551504 0.002603351
Cumulative normalization

0.002591984 1.28124E-05

0.010369396 5.12569E-05

0.021888621 0.000108198

0.038728922 0.000191441

0.063024607 0.000311537

0.097607806 0.000482485

0.146164575 0.000722506

0.213394174 0.001054828

0.305155073 0.001508411

0.42857368 0.002118481

0.592083321 0.002926726

0.805352535 0.003980936

1.079054375 0.005333871

1.424423953 0.007041066

1.852551994 0.009157345

2.373369934 0.011731799

2.994299502 0.014801114

3.718568525 0.018381247

4.543235729 0.022457657

5.457019902 0.026974581

6.438090103 0.031824107

7.452038368 0.036836152

8.450316708 0.041770739

9.369465929 0.046314183

10.13148335 0.05008091

10.64565811 0.052622526

10.81213666 0.053445445

11.09691211 0.054853118

11.9329226 0.0589856

13.40769741 0.066275555

15.5863396 0.077044796

18.50119431 0.091453207

22.14211831 0.109450649

26.44845841 0.130737308

31.30389217 0.15473819

36.53520006 0.180597055

41.91580816 0.207193925

47.17456762 0.233188486

52.00974514 0.25708924

56.1076316 0.277345492

59.16459608 0.292456365

60.91089205 0.301088477

61.13413574 0.302191992

62.56808204 0.309280128

65.69903321 0.324756725

2 ( ) ( )

i

f x f b



  



 
70.4631062 0.348306002

76.69138288 0.379092981

84.11719822 0.41579951

92.39178189 0.456701584

101.1071131 0.499782315

109.8240765 0.542871115

118.1034301 0.583796767

125.5367842 0.620540561

131.774793 0.651375646

136.5500627 0.67498027

139.6928601 0.690515424

141.1384726 0.697661227

141.3510038 0.69871179

143.0881977 0.707298909

146.1381635 0.722375187

150.2314562 0.742608732

155.0645464 0.766499168

160.3236363 0.792495362

165.7067407 0.819104572

170.9423334 0.844984617

175.8033819 0.869013253

180.1161737 0.890331803

183.7639016 0.908362878

186.6854724 0.922804487

188.8703742 0.93360467

190.3506718 0.940921925

191.1912825 0.945077146

191.4796416 0.946502533

191.6435648 0.947312821

192.1561571 0.949846615

192.9174595 0.953609807

193.8366238 0.958153325

194.8354943 0.96309084

195.8504578 0.968107903

196.832822 0.972963826

197.7480524 0.977487898

198.574213 0.981571691

199.2999413 0.985159037

199.9222379 0.988235109

200.4442927 0.990815677

200.8735075 0.992937328

201.2198075 0.994649122

201.4942874 0.996005903

201.7081936 0.997063263

201.8722145 0.997874034

201.9960357 0.998486094

202.0881082 0.998941217

202.1555748 0.999274711

202.2043089 0.999515609

202.2390228 0.999687203

202.2634133 0.999807768

202.2803214 0.999891346
202.2918884 0.999948523

202.299699 0.999987131

202.3023024 1

10214.95392
Appendix E-4d (i): Biomass Fluidized Bed TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Dry BiomassFB No 3 NDCargillWestFargo

YES Yes Dry BiomassFB No 3 NDCargillWestFargo

YES Yes Dry BiomassFB No 3 NDCargillWestFargo
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

Foster Wheeler Boiler (EU43) ICR Phase II - ERT ERT TSM8 ET 1

Foster Wheeler Boiler (EU43) ICR Phase II - ERT ERT TSM8 ET 2

Foster Wheeler Boiler (EU43) ICR Phase II - ERT ERT TSM8 ET 3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

8/26/2009 1.35E-05 -11.21441848 0

8/26/2009 1.65E-05 -11.00962248 0

8/27/2009 1.20E-05 -11.33233869 0
Appendix E-4d (ii): Biomass Fluidized Bed TSM 

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -11.18545988

Variance of natural log of 

test runs (σ2) 0.026665387

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.443458903

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.002190904

Flatness of z distribution 

(β2z) 1573.7067

Skewness of z distribution 

(√β1z) 0.287296798
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815686 0.999274722 0.996005934

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 1.40607E-05

exp (2μ + σ2) 1.97703E-10

exp (σ2) - 1 0.02702409

(σ2/n) + [σ4/(2(n - 1))] 0.009066223

Square root term 5.67098E-06

Confidence Level 99% 99.9% 99.5%

UPL 2.06E-05 2.22E-05 2.12E-05

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 9.58E-01 7.73E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-4d (ii): Biomass Fluidized Bed TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

FB Dry Biomass 3 NDCargillWestFargo Foster Wheeler Boiler (EU43) ICR Phase II - ERT ERT

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 1.39998E-05 -11.17646728 3 2 ET Biomass
Appendix E-4d (iii): Biomass Fluidized Bed Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 1573.7067 0.2872968

1.28117E-05 -5 =f(a) 31278.975

5.12539E-05 1 -4.899 28465.685

0.000108191 2 -4.798 25836.659

0.00019143 3 -4.697 23384.049

0.000311518 4 -4.596 21100.173

0.000482456 5 -4.495 18977.513

0.000722463 6 -4.394 17008.712

0.001054765 7 -4.293 15186.578

0.001508321 8 -4.192 13504.082

0.002118354 9 -4.091 11954.359

0.002926549 10 -3.99 10530.708

0.003980696 11 -3.889 9226.5891

0.005333549 12 -3.788 8035.6279

0.007040642 13 -3.687 6951.6129

0.009156795 14 -3.586 5968.4958

0.011731097 15 -3.485 5080.392

0.014800236 16 -3.384 4281.5805

0.018380168 17 -3.283 3566.5033

0.022456361 18 -3.182 2929.7662

0.02697306 19 -3.081 2366.1383

0.03182237 20 -2.98 1870.5522

0.036834233 21 -2.879 1438.1039

0.041768707 22 -2.778 1064.053

0.04631215 23 -2.677 743.82236

0.050079046 24 -2.576 472.99833

0.052621072 25 -2.475 247.33077

0.053444727 26 -2.374 62.732963

0.054851243 27 -2.273 -84.71838

0.058982037 28 -2.172 -198.7831

0.066269657 29 -2.071 -283.0575

0.07703579 30 -1.97 -340.9746

0.091440196 31 -1.869 -375.8038

0.109432616 32 -1.768 -390.6512

0.130713124 33 -1.667 -388.4594

0.15470663 34 -1.566 -372.0074

0.18055682 35 -1.465 -343.911

0.207143671 36 -1.364 -306.6225

0.233126849 37 -1.263 -262.4305

0.257014878 38 -1.162 -213.4605

0.277257113 39 -1.061 -161.6744

0.292352764 40 -0.96 -108.8705

0.300968565 41 -0.859 -56.68394

0.302054826 42 -0.758 -6.586193

0.309160998 43 -0.657 40.114617

0.324656235 44 -0.556 82.273841

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.348224572 45 -0.455 118.91028

0.37903085 46 -0.354 149.20617

0.41575674 47 -0.253 172.50721

0.456678075 48 -0.152 188.32254

0.499777822 49 -0.051 196.32475

0.542885262 50 0.05 196.34988

0.583829071 51 0.151 188.39742

0.620590447 52 0.252 172.63029

0.651442465 53 0.353 149.3749

0.675063313 54 0.454 119.12106

0.690613934 55 0.555 82.522054

0.697774406 56 0.656 40.394617

0.698811129 57 0.757 -6.281077

0.707385263 58 0.858 -56.3614

0.722449434 59 0.959 -108.5393

0.742671764 60 1.06 -161.3442

0.766551887 61 1.161 -213.1422

0.792538674 62 1.262 -262.1358

0.819139376 63 1.363 -306.3642

0.845011799 64 1.464 -343.7031

0.869033676 65 1.565 -371.8647

0.890346295 66 1.666 -388.3977

0.908372224 67 1.767 -390.6876

0.922809423 68 1.868 -375.9562

0.933605873 69 1.969 -341.262

0.940920011 70 2.07 -283.4999

0.945072663 71 2.171 -199.4015

0.946495966 72 2.272 -85.5349

0.947307921 73 2.373 61.695243

0.949843026 74 2.474 246.04774

0.953607232 75 2.575 471.44484

0.958151521 76 2.676 741.97224

0.96308961 77 2.777 1061.8791

0.968107092 78 2.878 1435.578

0.972963313 79 2.979 1867.6449

0.977487592 80 3.08 2362.8194

0.981571523 81 3.181 2926.0044

0.985158959 82 3.282 3562.2663

0.988235086 83 3.383 4276.835

0.990815686 84 3.484 5075.1036

0.992937352 85 3.585 5962.629

0.994649152 86 3.686 6945.1313

0.996005934 87 3.787 8028.4941

0.99706329 88 3.888 9218.7646

0.997874057 89 3.989 10522.153

0.998486113 90 4.09 11945.034

0.998941231 91 4.191 13493.944

0.999274722 92 4.292 15175.585

0.999515616 93 4.393 16996.82

0.999687208 94 4.494 18964.678

0.999807771 95 4.595 21086.35

0.999891348 96 4.696 23369.19
0.999948524 97 4.797 25820.716

0.999987132 98 4.898 28448.611 1 99 4.999 31260.719
distribution of Z

Normal 

distribution

1.48672E-06 0.046503062

2.45094E-06 0.06976768

3.9995E-06 0.103333786

6.46025E-06 0.151066728

1.03291E-05 0.217945554

1.63472E-05 0.310230096

2.56093E-05 0.435580529

3.97118E-05 0.603085826

6.09553E-05 0.823144731

9.26132E-05 1.107131315

0.000139285 1.466769413

0.000207351 1.913139641

0.000305546 2.455253198

0.000445674 3.098152429

0.000643469 3.840542671

0.000919619 4.672025388

0.001300942 5.570088576

0.001821704 6.497112766

0.002525035 7.3977608

0.003464389 8.197223116

0.004704958 8.800868596

0.006324913 9.095882005

0.008416337 8.955429227

0.011085658 8.245760623

0.014453386 6.836427686

0.018652949 4.613448268

0.023828414 1.494827032

0.030130931 -2.552643544

0.03771375 -7.49685499

0.046725789 -13.22608489

0.057303789 -19.53913538

0.069563239 -26.14212982

0.083588399 -32.65390891

0.099421884 -38.62136131

0.117054396 -43.54510229

0.136415346 -46.91474279

0.157365126 -48.25168498

0.179689839 -47.15609997

0.203099244 -43.35367326

0.227228529 -36.73703184

0.251644341 -27.39664948

0.275855243 -15.63656148

0.299326439 -1.971421784

0.321498297 12.89678107

0.341807853 28.1218451



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 42.77347621

0.37471238 55.90939798

0.386376486 66.65272823

0.394360216 74.26691633

0.398423793 78.22045079

0.398443914 78.23441411

0.394419966 74.30770211

0.386474058 66.71712996

0.374844865 55.99241274

0.359875719 42.86877572

0.34199778 28.2223591

0.32170943 12.99532913

0.299553264 -1.881517093

0.276092166 -15.56094161

0.25188591 -27.33951656

0.227469632 -36.70090668

0.203335281 -43.33932643

0.17991684 -47.16264785

0.157579839 -48.27682532

0.136615273 -46.9550922

0.117237788 -43.5965909

0.099587708 -38.67963928

0.083736272 -32.71472397

0.069693339 -26.20164345

0.05741676 -19.59415649

0.046822635 -13.27421153

0.037795734 -7.536525855

0.030199481 -2.583109681

0.023885038 1.473593228

0.018699163 4.600886744

0.014490659 6.831546514

0.011115369 8.247295234

0.008439746 8.96199

0.006343145 9.106079513

0.004718997 8.813410421

0.003475077 8.210980311

0.002533081 7.411805487

0.001827693 6.510730763

0.001305351 5.582772356

0.000922829 4.683453139

0.00064578 3.850549005

0.00044732 3.106695518

0.000306705 2.46238213

0.000208159 1.918964627

0.000139842 1.471436466

9.29928E-05 1.110802103

6.12113E-05 0.825981631

3.98826E-05 0.605241715

2.5722E-05 0.437192593

1.64209E-05 0.311416809

1.03767E-05 0.218805987

6.49066E-06 0.151681437
4.01874E-06 0.103766653

2.46298E-06 0.070068222

1.49417E-06 0.046708859
Absolute values

0.046503062 0.002348405

0.06976768 0.007046536

0.103333786 0.010436712

0.151066728 0.015257739

0.217945554 0.022012501

0.310230096 0.03133324

0.435580529 0.043993633

0.603085826 0.060911668

0.823144731 0.083137618

1.107131315 0.111820263

1.466769413 0.148143711

1.913139641 0.193227104

2.455253198 0.247980573

3.098152429 0.312913395

3.840542671 0.38789481

4.672025388 0.471874564

5.570088576 0.562578946

6.497112766 0.656208389

7.3977608 0.747173841

8.197223116 0.827919535

8.800868596 0.888887728

9.095882005 0.918684082

8.955429227 0.904498352

8.245760623 0.832821823

6.836427686 0.690479196

4.613448268 0.465958275

1.494827032 0.15097753

2.552643544 0.257816998

7.49685499 0.757182354

13.22608489 1.335834573

19.53913538 1.973452674

26.14212982 2.640355112

32.65390891 3.2980448

38.62136131 3.900757492

43.54510229 4.398055331

46.91474279 4.738389021

48.25168498 4.873420183

47.15609997 4.762766097

43.35367326 4.378720999

36.73703184 3.710440216

27.39664948 2.767061598

15.63656148 1.579292709

1.971421784 0.1991136

12.89678107 1.302574888

28.1218451 2.840306355



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
42.77347621 4.320121097

55.90939798 5.646849196

66.65272823 6.731925551

74.26691633 7.50095855

78.22045079 7.90026553

78.23441411 7.901675825

74.30770211 7.505077913

66.71712996 6.738430126

55.99241274 5.655233687

42.86877572 4.329746347

28.2223591 2.85045827

12.99532913 1.312528242

1.881517093 0.190033226

15.56094161 1.571655103

27.33951656 2.761291172

36.70090668 3.706791575

43.33932643 4.37727197

47.16264785 4.763427433

48.27682532 4.875959358

46.9550922 4.742464312

43.5965909 4.403255681

38.67963928 3.906643567

32.71472397 3.304187121

26.20164345 2.646365989

19.59415649 1.979009805

13.27421153 1.340695365

7.536525855 0.761189111

2.583109681 0.260894078

1.473593228 0.148832916

4.600886744 0.464689561

6.831546514 0.689986198

8.247295234 0.832976819

8.96199 0.90516099

9.106079513 0.919714031

8.813410421 0.890154452

8.210980311 0.829309011

7.411805487 0.748592354

6.510730763 0.657583807

5.582772356 0.563860008

4.683453139 0.473028767

3.850549005 0.388905449

3.106695518 0.313776247

2.46238213 0.248700595

1.918964627 0.193815427

1.471436466 0.148615083

1.110802103 0.112191012

0.825981631 0.083424145

0.605241715 0.061129413

0.437192593 0.044156452

0.311416809 0.031453098

0.218805987 0.022099405

0.151681437 0.015319825
0.103766653 0.010480432

0.070068222 0.00707689

0.046708859 0.002358797
Cumulative normalization

0.002348405 1.28117E-05

0.00939494 5.12539E-05

0.019831653 0.000108191

0.035089392 0.00019143

0.057101893 0.000311518

0.088435133 0.000482456

0.132428766 0.000722463

0.193340435 0.001054765

0.276478053 0.001508321

0.388298315 0.002118354

0.536442026 0.002926549

0.72966913 0.003980696

0.977649703 0.005333549

1.290563098 0.007040642

1.678457908 0.009156795

2.150332472 0.011731097

2.712911418 0.014800236

3.369119808 0.018380168

4.116293649 0.022456361

4.944213183 0.02697306

5.833100911 0.03182237

6.751784994 0.036834233

7.656283346 0.041768707

8.489105169 0.04631215

9.179584365 0.050079046

9.64554264 0.052621072

9.79652017 0.053444727

10.05433717 0.054851243

10.81151952 0.058982037

12.1473541 0.066269657

14.12080677 0.07703579

16.76116188 0.091440196

20.05920668 0.109432616

23.95996417 0.130713124

28.3580195 0.15470663

33.09640853 0.18055682

37.96982871 0.207143671

42.73259481 0.233126849

47.1113158 0.257014878

50.82175602 0.277257113

53.58881762 0.292352764

55.16811033 0.300968565

55.36722393 0.302054826

56.66979882 0.309160998

59.51010517 0.324656235

2 ( ) ( )

i

f x f b



  



 
63.83022627 0.348224572

69.47707546 0.37903085

76.20900102 0.41575674

83.70995957 0.456678075

91.6102251 0.499777822

99.51190092 0.542885262

107.0169788 0.583829071

113.755409 0.620590447

119.4106426 0.651442465

123.740389 0.675063313

126.5908473 0.690613934

127.9033755 0.697774406

128.0934087 0.698811129

129.6650638 0.707385263

132.426355 0.722449434

136.1331466 0.742671764

140.5104186 0.766551887

145.273846 0.792538674

150.1498053 0.819139376

154.8922697 0.845011799

159.2955253 0.869033676

163.2021689 0.890346295

166.506356 0.908372224

169.152722 0.922809423

171.1317318 0.933605873

172.4724272 0.940920011

173.2336163 0.945072663

173.4945104 0.946495966

173.6433433 0.947307921

174.1080328 0.949843026

174.798019 0.953607232

175.6309959 0.958151521

176.5361569 0.96308961

177.4558709 0.968107092

178.3460253 0.972963313

179.1753343 0.977487592

179.9239267 0.981571523

180.5815105 0.985158959

181.1453705 0.988235086

181.6183993 0.990815686

182.0073047 0.992937352

182.321081 0.994649152

182.5697816 0.996005934

182.763597 0.99706329

182.9122121 0.997874057

183.0244031 0.998486113

183.1078272 0.998941231

183.1689567 0.999274722

183.2131131 0.999515616

183.2445662 0.999687208

183.2666656 0.999807771

183.2819854 0.999891348
183.2924659 0.999948524

183.2995428 0.999987132

183.3019016 1

9255.506442
Appendix E-4e (i): Biomass Fuel Cell Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Yes Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Yes Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill

YES Wet BiomassFuel Cell no 1 ARWeyerhaeuserDierksMill
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

SN-45 ICR Phase I PM and Metals SN-45 (3) Particulate Matter (PM) filterable ET Sample #1

SN-45 ICR Phase I PM and Metals SN-45 (3) Particulate Matter (PM) filterable ET Sample #2

SN-45 ICR Phase I PM and Metals SN-45 (3) Particulate Matter (PM) filterable ET Sample #3

SN-45 ICR Phase I PM and Metals SN-45 (4) Particulate Matter (PM) filterable ET Sample #1

SN-45 ICR Phase I PM and Metals SN-45 (4) Particulate Matter (PM) filterable ET Sample #2

SN-45 ICR Phase I PM and Metals SN-45 (4) Particulate Matter (PM) filterable ET Sample #3

SN-45 ICR Phase II - Templates PM (filter) Particulate Matter (PM) filterable ET Sample #1

SN-45 ICR Phase II - Templates PM (filter) Particulate Matter (PM) filterable ET Sample #2

SN-45 ICR Phase II - Templates PM (filter) Particulate Matter (PM) filterable ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

12/5/2002 0.00139 -6.578451532 0

12/5/2002 0.00153 -6.482487544 0

12/5/2002 0.00134 -6.615085665 0

8/7/1997 0.0243 -3.717278929 0

8/7/1997 0.0128 -4.358310108 0

8/7/1997 0.0097 -4.635629393 0

7/22/2009 0.003189643 -5.747846306 0

7/23/2009 0.00387498 -5.553214774 0

7/23/2009 0.004168983 -5.480083188 0
Appendix E-4e (ii): Biomass Fuel Cell Filterab

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

Number of sources with 

test data 1

n 9

n-1 8

Average of natural log of 

test run values (μ) -5.46315416

Variance of natural log of 

test runs (σ2) 1.081610004

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 150.0864147

Denominator for 

calculation of flatness of z 

distribution (β2z) 11.40076549

Flatness of z distribution 

(β2z) 15.164591

Skewness of z distribution 

(√β1z) 3.989764389
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990245792 0.999289954 0.995911895

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.007282004

exp (2μ + σ2) 5.30276E-05

exp (σ2) - 1 1.949424316

(σ2/n) + [σ4/(2(n - 1))] 0.193296402

Square root term 0.020059166

Confidence Level 99% 99.9% 99.5%

UPL 3.06E-02 3.60E-02 3.26E-02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.76E+00 4.63E-01

SE Skewness 0.82 0.82

Skewness Test non-normal normal

Kurtosis = 2.98E+00 -9.90E-01

SE Kurtosis 1.63 1.63

Kurtosis Test normal normal

Number of test runs = 9 9
ndix E-4e (ii): Biomass Fuel Cell Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Fuel Cell Wet Biomass 1 ARWeyerhaeuserDierksMill SN-45 ICR Phase I PM and Metals SN-45 (3)

Fuel Cell Wet Biomass 1 ARWeyerhaeuserDierksMill SN-45 ICR Phase II - Templates PM (filter)

Fuel Cell Wet Biomass 1 ARWeyerhaeuserDierksMill SN-45 ICR Phase I PM and Metals SN-45 (4)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.00142 -6.557098407 3 2 ET /Hog Fuel/

Particulate Matter (PM) filterable 0.003744535 -5.587457764 3 2 ET Hog Fuel

Particulate Matter (PM) filterable 0.0156 -4.160484365 3 2 ET /Hog Fuel/
Appendix E-4e (iii): Biomass Fuel Cell Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 15.164591 3.9897644

6.52307E-06 -5 =f(a) 170.13242

2.58742E-05 1 -4.899 153.07634

5.41867E-05 2 -4.798 137.24804

9.50348E-05 3 -4.697 122.59085

0.000153131 4 -4.596 109.0494

0.000234555 5 -4.495 96.569545

0.00034696 6 -4.394 85.098441

0.000499728 7 -4.293 74.584491

0.000704014 8 -4.192 64.977366

0.000972605 9 -4.091 56.228005

0.001319513 10 -3.99 48.288613

0.001759203 11 -3.889 41.112661

0.002305346 12 -3.788 34.654883

0.002969011 13 -3.687 28.871283

0.003756224 14 -3.586 23.719129

0.004664881 15 -3.485 19.156953

0.005681083 16 -3.384 15.144555

0.00677506 17 -3.283 11.643002

0.007896999 18 -3.182 8.6146231

0.008973232 19 -3.081 6.0230168

0.009903408 20 -2.98 3.8330458

0.010559399 21 -2.879 2.0108389

0.010786776 22 -2.778 0.5237906

0.011163828 23 -2.677 -0.659438

0.012333425 24 -2.576 -1.568922

0.014482209 25 -2.475 -2.233467

0.017776753 26 -2.374 -2.680617

0.022340587 27 -2.273 -2.936646

0.028227877 28 -2.172 -3.026566

0.035395594 29 -2.071 -2.974121

0.043676622 30 -1.97 -2.801789

0.052756921 31 -1.869 -2.530782

0.062160147 32 -1.768 -2.181048

0.071243201 33 -1.667 -1.771268

0.079205728 34 -1.566 -1.318857

0.085115748 35 -1.465 -0.839963

0.087952262 36 -1.364 -0.349471

0.089240548 37 -1.263 0.1390027

0.095663123 38 -1.162 0.6131056

0.108106882 39 -1.061 1.0617522

0.127253003 40 -0.96 1.4751224

0.153499034 41 -0.859 1.8446621

0.186894219 42 -0.758 2.1630831

0.227095683 43 -0.657 2.4243628

0.273351804 44 -0.556 2.6237448

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.3245169 45 -0.455 2.7577384

0.379098535 46 -0.354 2.8241186

0.435335509 47 -0.253 2.8219264

0.491301376 48 -0.152 2.7514686

0.54502549 49 -0.051 2.6143181

0.594621468 50 0.05 2.4133132

0.638411918 51 0.151 2.1525584

0.675038407 52 0.252 1.8374239

0.703546977 53 0.353 1.4745459

0.723441911 54 0.454 1.0718262

0.734703612 55 0.555 0.6384327

0.737770014 56 0.656 0.184799

0.742055572 57 0.757 -0.277375

0.752523985 58 0.858 -0.735125

0.767779203 59 0.959 -1.174219

0.786306626 60 1.06 -1.579159

0.806581193 61 1.161 -1.933184

0.827166188 62 1.262 -2.218265

0.846795378 63 1.363 -2.415106

0.864433453 64 1.464 -2.503147

0.879312241 65 1.565 -2.460562

0.890942717 66 1.666 -2.264259

0.899105033 67 1.767 -1.88988

0.9038205 68 1.868 -1.311801

0.905310499 69 1.969 -0.503131

0.906673256 70 2.07 0.5642832

0.910415904 71 2.171 1.9198647

0.916014504 72 2.272 3.5943005

0.922937476 73 2.373 5.6195435

0.930681007 74 2.474 8.0288128

0.938795237 75 2.575 10.856593

0.946901057 76 2.676 14.138636

0.954698244 77 2.777 17.911956

0.961966219 78 2.878 22.214838

0.968559072 79 2.979 27.086828

0.974396628 80 3.08 32.568742

0.979453191 81 3.181 38.702659

0.98374544 82 3.282 45.531925

0.987320612 83 3.383 53.101151

0.990245792 84 3.484 61.456216

0.992598822 85 3.585 70.644262

0.994461042 86 3.686 80.713698

0.995911895 87 3.787 91.714201

0.997025228 88 3.888 103.69671

0.997867056 89 3.989 116.71343

0.998494509 90 4.09 130.81784

0.99895566 91 4.191 146.06467

0.999289954 92 4.292 162.50994

0.999529038 93 4.393 180.2109

0.999697775 94 4.494 199.22609

0.999815315 95 4.595 219.61533

0.999896143 96 4.696 241.43966
0.999951022 97 4.797 264.76144

0.999987818 98 4.898 289.64426 1 99 4.999 316.15297
distribution of Z

Normal 

distribution

1.48672E-06 0.000252939

2.45094E-06 0.000375181

3.9995E-06 0.000548924

6.46025E-06 0.000791967

1.03291E-05 0.001126381

1.63472E-05 0.001578646

2.56093E-05 0.002179308

3.97118E-05 0.002961882

6.09553E-05 0.003960712

9.26132E-05 0.005207455

0.000139285 0.006725878

0.000207351 0.008524739

0.000305546 0.010588658

0.000445674 0.012867178

0.000643469 0.015262527

0.000919619 0.017617099

0.001300942 0.01970219

0.001821704 0.021210101

0.002525035 0.021752221

0.003464389 0.020866073

0.004704958 0.018034318

0.006324913 0.01271838

0.008416337 0.004408399

0.011085658 -0.007310308

0.014453386 -0.022676232

0.018652949 -0.041660749

0.023828414 -0.063874844

0.030130931 -0.088483886

0.03771375 -0.114143161

0.046725789 -0.138968142

0.057303789 -0.160553101

0.069563239 -0.176049404

0.083588399 -0.182310344

0.099421884 -0.17610282

0.117054396 -0.15437797

0.136415346 -0.114583851

0.157365126 -0.054994509

0.179689839 0.024977373

0.203099244 0.124521289

0.227228529 0.241260386

0.251644341 0.3712062

0.275855243 0.508859712

0.299326439 0.647467949

0.321498297 0.779428521

0.341807853 0.896816592



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 0.991992116

0.37471238 1.058232184

0.386376486 1.09032599

0.394360216 1.085069765

0.398423793 1.041606519

0.398443914 0.961569951

0.394419966 0.849012007

0.386474058 0.71011668

0.374844865 0.552725951

0.359875719 0.385724228

0.34199778 0.218342571

0.32170943 0.059451595

0.299553264 -0.083088675

0.276092166 -0.202962239

0.25188591 -0.295769146

0.227469632 -0.359210831

0.203335281 -0.393084597

0.17991684 -0.399103177

0.157579839 -0.380571973

0.136615273 -0.341968114

0.117237788 -0.288470878

0.099587708 -0.225492395

0.083736272 -0.158251513

0.069693339 -0.091423772

0.05741676 -0.02888818

0.046822635 0.026421225

0.037795734 0.072562697

0.030199481 0.108546009

0.023885038 0.134223011

0.018699163 0.150132077

0.014490659 0.157319193

0.011115369 0.157156152

0.008439746 0.151172367

0.006343145 0.140911944

0.004718997 0.127822658

0.003475077 0.113178899

0.002533081 0.09803696

0.001827693 0.083218399

0.001305351 0.06931566

0.000922829 0.056713582

0.00064578 0.04562068

0.00044732 0.036104844

0.000306705 0.028129236

0.000208159 0.021585356

0.000139842 0.016321412

9.29928E-05 0.012165117

6.12113E-05 0.008940806

3.98826E-05 0.006481318

2.5722E-05 0.004635389

1.64209E-05 0.003271469

1.03767E-05 0.002278875

6.49066E-06 0.001567102
4.01874E-06 0.001064006

2.46298E-06 0.000713387

1.49417E-06 0.000472387
Absolute values

0.000252939 1.27734E-05

0.000375181 3.78933E-05

0.000548924 5.54413E-05

0.000791967 7.99887E-05

0.001126381 0.000113764

0.001578646 0.000159443

0.002179308 0.00022011

0.002961882 0.00029915

0.003960712 0.000400032

0.005207455 0.000525953

0.006725878 0.000679314

0.008524739 0.000860999

0.010588658 0.001069454

0.012867178 0.001299585

0.015262527 0.001541515

0.017617099 0.001779327

0.01970219 0.001989921

0.021210101 0.00214222

0.021752221 0.002196974

0.020866073 0.002107473

0.018034318 0.001821466

0.01271838 0.001284556

0.004408399 0.000445248

0.007310308 0.000738341

0.022676232 0.002290299

0.041660749 0.004207736

0.063874844 0.006451359

0.088483886 0.008936872

0.114143161 0.011528459

0.138968142 0.014035782

0.160553101 0.016215863

0.176049404 0.01778099

0.182310344 0.018413345

0.17610282 0.017786385

0.15437797 0.015592175

0.114583851 0.011572969

0.054994509 0.005554445

0.024977373 0.002522715

0.124521289 0.01257665

0.241260386 0.024367299

0.3712062 0.037491826

0.508859712 0.051394831

0.647467949 0.065394263

0.779428521 0.078722281

0.896816592 0.090578476



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
0.991992116 0.100191204

1.058232184 0.106881451

1.09032599 0.110122925

1.085069765 0.109592046

1.041606519 0.105202258

0.961569951 0.097118565

0.849012007 0.085750213

0.71011668 0.071721785

0.552725951 0.055825321

0.385724228 0.038958147

0.218342571 0.0220526

0.059451595 0.006004611

0.083088675 0.008391956

0.202962239 0.020499186

0.295769146 0.029872684

0.359210831 0.036280294

0.393084597 0.039701544

0.399103177 0.040309421

0.380571973 0.038437769

0.341968114 0.03453878

0.288470878 0.029135559

0.225492395 0.022774732

0.158251513 0.015983403

0.091423772 0.009233801

0.02888818 0.002917706

0.026421225 0.002668544

0.072562697 0.007328832

0.108546009 0.010963147

0.134223011 0.013556524

0.150132077 0.01516334

0.157319193 0.015889239

0.157156152 0.015872771

0.151172367 0.015268409

0.140911944 0.014232106

0.127822658 0.012910088

0.113178899 0.011431069

0.09803696 0.009901733

0.083218399 0.008405058

0.06931566 0.007000882

0.056713582 0.005728072

0.04562068 0.004607689

0.036104844 0.003646589

0.028129236 0.002841053

0.021585356 0.002180121

0.016321412 0.001648463

0.012165117 0.001228677

0.008940806 0.000903021

0.006481318 0.000654613

0.004635389 0.000468174

0.003271469 0.000330418

0.002278875 0.000230166

0.001567102 0.000158277
0.001064006 0.000107465

0.000713387 7.2052E-05

0.000472387 2.38555E-05
Cumulative normalization

1.27734E-05 6.52307E-06

5.06667E-05 2.58742E-05

0.000106108 5.41867E-05

0.000186097 9.50348E-05

0.000299861 0.000153131

0.000459304 0.000234555

0.000679415 0.00034696

0.000978565 0.000499728

0.001378597 0.000704014

0.001904549 0.000972605

0.002583863 0.001319513

0.003444862 0.001759203

0.004514316 0.002305346

0.005813901 0.002969011

0.007355416 0.003756224

0.009134743 0.004664881

0.011124665 0.005681083

0.013266885 0.00677506

0.015463859 0.007896999

0.017571332 0.008973232

0.019392798 0.009903408

0.020677355 0.010559399

0.021122603 0.010786776

0.021860944 0.011163828

0.024151244 0.012333425

0.028358979 0.014482209

0.034810339 0.017776753

0.043747211 0.022340587

0.05527567 0.028227877

0.069311453 0.035395594

0.085527316 0.043676622

0.103308306 0.052756921

0.12172165 0.062160147

0.139508035 0.071243201

0.15510021 0.079205728

0.166673179 0.085115748

0.172227625 0.087952262

0.174750339 0.089240548

0.187326989 0.095663123

0.211694288 0.108106882

0.249186115 0.127253003

0.300580945 0.153499034

0.365975208 0.186894219

0.444697489 0.227095683

0.535275965 0.273351804

2 ( ) ( )

i

f x f b



  



 
0.635467168 0.3245169

0.742348619 0.379098535

0.852471544 0.435335509

0.96206359 0.491301376

1.067265849 0.54502549

1.164384414 0.594621468

1.250134626 0.638411918

1.321856411 0.675038407

1.377681732 0.703546977

1.416639879 0.723441911

1.438692479 0.734703612

1.44469709 0.737770014

1.453089046 0.742055572

1.473588232 0.752523985

1.503460916 0.767779203

1.53974121 0.786306626

1.579442754 0.806581193

1.619752175 0.827166188

1.658189944 0.846795378

1.692728724 0.864433453

1.721864282 0.879312241

1.744639014 0.890942717

1.760622417 0.899105033

1.769856218 0.9038205

1.772773924 0.905310499

1.775442468 0.906673256

1.782771301 0.910415904

1.793734447 0.916014504

1.807290972 0.922937476

1.822454311 0.930681007

1.83834355 0.938795237

1.854216321 0.946901057

1.86948473 0.954698244

1.883716837 0.961966219

1.896626925 0.968559072

1.908057994 0.974396628

1.917959727 0.979453191

1.926364785 0.98374544

1.933365667 0.987320612

1.939093739 0.990245792

1.943701427 0.992598822

1.947348017 0.994461042

1.95018907 0.995911895

1.952369191 0.997025228

1.954017653 0.997867056

1.95524633 0.998494509

1.956149351 0.99895566

1.956803965 0.999289954

1.957272139 0.999529038

1.957602557 0.999697775

1.957832724 0.999815315

1.957991001 0.999896143
1.958098466 0.999951022

1.958170518 0.999987818

1.958194373 1

96.08195485
Appendix E-4f (i): Biomass Fuel Cell TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Wet BiomassFuel Cell No 1 IDPotlatch

YES Wet BiomassFuel Cell No 1 IDPotlatch

YES Wet BiomassFuel Cell No 1 IDPotlatch

YES Yes Wet BiomassFuel Cell No 1 IDPotlatch

YES Yes Wet BiomassFuel Cell No 1 IDPotlatch

YES Yes Wet BiomassFuel Cell No 1 IDPotlatch
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

PB-1 CE ICR Phase I PM and Metals (2) TSM8 ET Sample #1

PB-1 CE ICR Phase I PM and Metals (2) TSM8 ET Sample #2

PB-1 CE ICR Phase I PM and Metals (2) TSM8 ET Sample #3

PB-1 CE ICR Phase II - ERT ERT TSM8 ET M29-R1

PB-1 CE ICR Phase II - ERT ERT TSM8 ET M29-R2

PB-1 CE ICR Phase II - ERT ERT TSM8 ET M29-R3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

7/20/2006 0.000022364 -10.70805803 0

7/20/2006 0.000020763 -10.782338 0

7/20/2006 0.000011361 -11.38532412 0

7/28/2009 1.66719E-05 -11.00178789 0

7/28/2009 1.52867E-05 -11.08852592 0

7/29/2009 1.10504E-05 -11.41304158 0
Appendix E-4f (ii): Biomass Fuel Cell TSM Tes

In top 

12%?

Min Test 

Avg?

YES Yes

YES

Number of sources with 

test data 1

n 6

n-1 5

Average of natural log of 

test run values (μ) -11.06317926

Variance of natural log of 

test runs (σ2) 0.08711504

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 4.585223888

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.024855114

Flatness of z distribution 

(β2z) 186.4780879

Skewness of z distribution 

(√β1z) 0.538412483
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.99081057 0.999275341 0.996006425

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 1.63772E-05

exp (2μ + σ2) 2.68212E-10

exp (σ2) - 1 0.091022184

(σ2/n) + [σ4/(2(n - 1))] 0.015278076

Square root term 1.04938E-05

Confidence Level 99% 99.9% 99.5%

UPL 2.86E-05 3.14E-05 2.96E-05

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.82E-01 -1.06E-01

SE Skewness 1.00 1.00

Skewness Test normal normal

Kurtosis = -1.73E+00 -1.83E+00

SE Kurtosis 2.00 2.00

Kurtosis Test normal normal

Number of test runs = 6 6
ndix E-4f (ii): Biomass Fuel Cell TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Fuel Cell Wet Biomass 1 IDPotlatch PB-1 CE ICR Phase II - ERT ERT

Fuel Cell Wet Biomass 1 IDPotlatch PB-1 CE ICR Phase I PM and Metals (2)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 1.43363E-05 -11.1527131 3 2 ET Hog Fuel

TSM8 1.81627E-05 -10.91614235 3 2 ET /Hog Fuel/
Appendix E-4f (iii): Biomass Fuel Cell Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 186.47809 0.5384125

1.27298E-05 -5 =f(a) 3645.401

5.09246E-05 1 -4.899 3317.3729

0.000107493 2 -4.798 3010.8437

0.000190187 3 -4.697 2724.8976

0.000309485 4 -4.596 2458.6374

0.000479289 5 -4.495 2211.1856

0.000717691 6 -4.394 1981.6832

0.001047753 7 -4.293 1769.2908

0.001498226 8 -4.192 1573.1878

0.002104081 9 -4.091 1392.5728

0.002906695 10 -3.99 1226.6633

0.003953507 11 -3.889 1074.6962

0.005296878 12 -3.788 935.92727

0.006991926 13 -3.687 809.63148

0.009093063 14 -3.586 695.10285

0.01164902 15 -3.485 591.6545

0.014696241 16 -3.384 498.61862

0.018250637 17 -3.283 415.34654

0.022297932 18 -3.182 341.20865

0.026783056 19 -3.081 275.59444

0.031599376 20 -2.98 217.91249

0.036578825 21 -2.879 167.59048

0.04148435 22 -2.778 124.07517

0.04600625 23 -2.677 86.832436

0.04976413 24 -2.576 55.347224

0.052316066 25 -2.475 29.123583

0.05317626 26 -2.374 7.6846532

0.054510638 27 -2.273 -9.427333

0.058523604 28 -2.172 -22.65105

0.065636731 29 -2.071 -32.40608

0.076160195 30 -1.97 -39.0929

0.09024216 31 -1.869 -43.09293

0.107821216 32 -1.768 -44.76845

0.128587325 33 -1.667 -44.46269

0.151956937 34 -1.566 -42.49975

0.177067516 35 -1.465 -39.18466

0.202795576 36 -1.364 -34.80335

0.227800479 37 -1.263 -29.62267

0.250593842 38 -1.162 -23.89036

0.269631566 39 -1.061 -17.83507

0.283422698 40 -0.96 -11.66636

0.290646739 41 -0.859 -5.5747

0.291024327 42 -0.758 0.2685318

0.299649594 43 -0.657 5.711056

0.316701426 44 -0.556 10.619683

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.341846027 45 -0.455 14.880316

0.374231105 46 -0.354 18.397951

0.412522589 47 -0.253 21.096677

0.454982495 48 -0.152 22.919677

0.499582264 49 -0.051 23.829224

0.544142101 50 0.05 23.806686

0.586484017 51 0.151 22.852523

0.62458476 52 0.252 20.986289

0.656714829 53 0.353 18.246629

0.681551288 54 0.454 14.691281

0.698254963 55 0.555 10.397078

0.706506396 56 0.656 5.4599431

0.706513581 57 0.757 -0.005106

0.714118991 58 0.858 -5.863961

0.728274861 59 0.959 -11.96342

0.747649203 60 1.06 -18.13118

0.770741767 61 1.161 -24.17586

0.796001649 62 1.262 -29.88698

0.821936262 63 1.363 -35.03496

0.847203323 64 1.464 -39.37114

0.870680052 65 1.565 -42.62776

0.891506657 66 1.666 -44.51796

0.909103968 67 1.767 -44.7358

0.923167522 68 1.868 -42.95625

0.933642215 69 1.969 -38.83517

0.940682818 70 2.07 -32.00933

0.944606035 71 2.171 -22.09643

0.945839562 72 2.272 -8.695045

0.946806224 73 2.373 8.6153151

0.949465559 74 2.474 30.274249

0.953327968 75 2.575 56.740444

0.957948626 76 2.676 88.491681

0.962945092 77 2.777 126.02483

0.968006399 78 2.878 169.85586

0.97289489 79 2.979 220.51984

0.977442442 80 3.08 278.5709

0.981542778 81 3.181 344.5823

0.985141485 82 3.282 419.14636

0.988225131 83 3.383 502.87454

0.99081057 84 3.484 596.39733

0.992935215 85 3.585 700.36437

0.994648739 86 3.686 815.44436

0.996006425 87 3.787 942.32509

0.997064178 88 3.888 1081.7135

0.997875041 89 3.989 1234.3355

0.998487032 90 4.09 1400.9362

0.998942012 91 4.191 1582.2798

0.999275341 92 4.292 1779.1496

0.999516081 93 4.393 1992.3478

0.999687537 94 4.494 2222.696

0.999807989 95 4.595 2471.0347

0.999891479 96 4.696 2738.2236
0.999948589 97 4.797 3025.1413

0.999987149 98 4.898 3332.6857 1 99 4.999 3661.7737
distribution of Z

Normal 

distribution

1.48672E-06 0.005419689

2.45094E-06 0.008130681

3.9995E-06 0.012041878

6.46025E-06 0.017603511

1.03291E-05 0.025395483

1.63472E-05 0.036146797

2.56093E-05 0.050749443

3.97118E-05 0.070261664

6.09553E-05 0.095894061

9.26132E-05 0.128970599

0.000139285 0.170855768

0.000207351 0.222838998

0.000305546 0.285968744

0.000445674 0.360831623

0.000643469 0.447277215

0.000919619 0.544096754

0.001300942 0.648673993

0.001821704 0.756638398

0.002525035 0.861563633

0.003464389 0.954766305

0.004704958 1.025268999

0.006324913 1.059995142

0.008416337 1.044258503

0.011085658 0.962594727

0.014453386 0.799954816

0.018652949 0.543240701

0.023828414 0.183113099

0.030130931 -0.284054305

0.03771375 -0.854255979

0.046725789 -1.514199491

0.057303789 -2.240171539

0.069563239 -2.997683677

0.083588399 -3.742123267

0.099421884 -4.42056394

0.117054396 -4.974782042

0.136415346 -5.345388611

0.157365126 -5.476833993

0.179689839 -5.322892921

0.203099244 -4.852113515

0.227228529 -4.052635849

0.251644341 -2.935772932

0.275855243 -1.537810267

0.299326439 0.080378681

0.321498297 1.836094761

0.341807853 3.629890959



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 5.352630951

0.37471238 6.893939917

0.386376486 8.151259974

0.394360216 9.038608614

0.398423793 9.494129695

0.398443914 9.485629101

0.394419966 9.013491475

0.386474058 8.110656292

0.374844865 6.839655127

0.359875719 5.287035456

0.34199778 3.555777627

0.32170943 1.756515193

0.299553264 -0.001529647

0.276092166 -1.618993631

0.25188591 -3.013416237

0.227469632 -4.124292949

0.203335281 -4.915805702

0.17991684 -5.377171212

0.157579839 -5.520803958

0.136615273 -5.378699472

0.117237788 -4.997584311

0.099587708 -4.43344186

0.083736272 -3.746009539

0.069693339 -2.99376445

0.05741676 -2.229789381

0.046822635 -1.498761181

0.037795734 -0.835150649

0.030199481 -0.26258585

0.023885038 0.20577713

0.018699163 0.566103108

0.014490659 0.822206439

0.011115369 0.98361769

0.008439746 1.063617612

0.006343145 1.077420426

0.004718997 1.040632412

0.003475077 0.968055427

0.002533081 0.872854776

0.001827693 0.766071053

0.001305351 0.65642796

0.000922829 0.550372794

0.00064578 0.45228159

0.00044732 0.364764497

0.000306705 0.28901615

0.000208159 0.225167902

0.000139842 0.172611651

9.29928E-05 0.130276974

6.12113E-05 0.096853376

3.98826E-05 0.070957102

2.5722E-05 0.051247215

1.64209E-05 0.036498637

1.03767E-05 0.025641099

6.49066E-06 0.017772875
4.01874E-06 0.012157245

2.46298E-06 0.008208322

1.49417E-06 0.005471316
Absolute values

0.005419689 0.000273694

0.008130681 0.000821199

0.012041878 0.00121623

0.017603511 0.001777955

0.025395483 0.002564944

0.036146797 0.003650827

0.050749443 0.005125694

0.070261664 0.007096428

0.095894061 0.0096853

0.128970599 0.013026031

0.170855768 0.017256433

0.222838998 0.022506739

0.285968744 0.028882843

0.360831623 0.036443994

0.447277215 0.045174999

0.544096754 0.054953772

0.648673993 0.065516073

0.756638398 0.076420478

0.861563633 0.087017927

0.954766305 0.096431397

1.025268999 0.103552169

1.059995142 0.107059509

1.044258503 0.105470109

0.962594727 0.097222067

0.799954816 0.080795436

0.543240701 0.054867311

0.183113099 0.018494423

0.284054305 0.028689485

0.854255979 0.086279854

1.514199491 0.152934149

2.240171539 0.226257325

2.997683677 0.302766051

3.742123267 0.37795445

4.42056394 0.446476958

4.974782042 0.502452986

5.345388611 0.53988425

5.476833993 0.553160233

5.322892921 0.537612185

4.852113515 0.490063465

4.052635849 0.409316221

2.935772932 0.296513066

1.537810267 0.155318837

0.080378681 0.008118247

1.836094761 0.185445571

3.629890959 0.366618987



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
5.352630951 0.540615726

6.893939917 0.696287932

8.151259974 0.823277257

9.038608614 0.91289947

9.494129695 0.958907099

9.485629101 0.958048539

9.013491475 0.910362639

8.110656292 0.819176286

6.839655127 0.690805168

5.287035456 0.533990581

3.555777627 0.35913354

1.756515193 0.177408034

0.001529647 0.000154494

1.618993631 0.163518357

3.013416237 0.30435504

4.124292949 0.416553588

4.915805702 0.496496376

5.377171212 0.543094292

5.520803958 0.5576012

5.378699472 0.543248647

4.997584311 0.504756015

4.43344186 0.447777628

3.746009539 0.378346963

2.99376445 0.302370209

2.229789381 0.225208728

1.498761181 0.151374879

0.835150649 0.084350216

0.26258585 0.026521171

0.20577713 0.02078349

0.566103108 0.057176414

0.822206439 0.08304285

0.98361769 0.099345387

1.063617612 0.107425379

1.077420426 0.108819463

1.040632412 0.105103874

0.968055427 0.097773598

0.872854776 0.088158332

0.766071053 0.077373176

0.65642796 0.066299224

0.550372794 0.055587652

0.45228159 0.045680441

0.364764497 0.036841214

0.28901615 0.029190631

0.225167902 0.022741958

0.172611651 0.017433777

0.130276974 0.013157974

0.096853376 0.009782191

0.070957102 0.007166667

0.051247215 0.005175969

0.036498637 0.003686362

0.025641099 0.002589751

0.017772875 0.00179506
0.012157245 0.001227882

0.008208322 0.000829041

0.005471316 0.000276301
Cumulative normalization

0.000273694 1.27298E-05

0.001094893 5.09246E-05

0.002311123 0.000107493

0.004089077 0.000190187

0.006654021 0.000309485

0.010304848 0.000479289

0.015430541 0.000717691

0.022526969 0.001047753

0.03221227 0.001498226

0.0452383 0.002104081

0.062494733 0.002906695

0.085001471 0.003953507

0.113884315 0.005296878

0.150328309 0.006991926

0.195503307 0.009093063

0.250457079 0.01164902

0.315973153 0.014696241

0.392393631 0.018250637

0.479411558 0.022297932

0.575842955 0.026783056

0.679395123 0.031599376

0.786454633 0.036578825

0.891924742 0.04148435

0.989146809 0.04600625

1.069942245 0.04976413

1.124809556 0.052316066

1.143303979 0.05317626

1.171993464 0.054510638

1.258273318 0.058523604

1.411207467 0.065636731

1.637464792 0.076160195

1.940230843 0.09024216

2.318185293 0.107821216

2.764662251 0.128587325

3.267115238 0.151956937

3.806999487 0.177067516

4.360159721 0.202795576

4.897771906 0.227800479

5.387835371 0.250593842

5.797151591 0.269631566

6.093664658 0.283422698

6.248983494 0.290646739

6.257101741 0.291024327

6.442547312 0.299649594

6.809166299 0.316701426

2 ( ) ( )

i

f x f b



  



 
7.349782025 0.341846027

8.046069956 0.374231105

8.869347214 0.412522589

9.782246684 0.454982495

10.74115378 0.499582264

11.69920232 0.544142101

12.60956496 0.586484017

13.42874125 0.62458476

14.11954641 0.656714829

14.653537 0.681551288

15.01267054 0.698254963

15.19007857 0.706506396

15.19023306 0.706513581

15.35375142 0.714118991

15.65810646 0.728274861

16.07466005 0.747649203

16.57115643 0.770741767

17.11425072 0.796001649

17.67185192 0.821936262

18.21510056 0.847203323

18.71985658 0.870680052

19.16763421 0.891506657

19.54598117 0.909103968

19.84835138 0.923167522

20.07356011 0.933642215

20.22493499 0.940682818

20.3092852 0.944606035

20.33580637 0.945839562

20.35658986 0.946806224

20.41376628 0.949465559

20.49680913 0.953327968

20.59615451 0.957948626

20.70357989 0.962945092

20.81239936 0.968006399

20.91750323 0.97289489

21.01527683 0.977442442

21.10343516 0.981542778

21.18080834 0.985141485

21.24710756 0.988225131

21.30269521 0.99081057

21.34837565 0.992935215

21.38521687 0.994648739

21.4144075 0.996006425

21.43714946 0.997064178

21.45458323 0.997875041

21.46774121 0.998487032

21.4775234 0.998942012

21.48469007 0.999275341

21.48986603 0.999516081

21.4935524 0.999687537

21.49614215 0.999807989

21.49793721 0.999891479
21.49916509 0.999948589

21.49999413 0.999987149

21.50027043 1

1084.986119
Appendix E-4g (i): Biomass Suspension Burner Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Dry BiomassSuspension Burner no 3 OHSauderWoodArchbold

YES Yes Dry BiomassSuspension Burner no 3 OHSauderWoodArchbold

YES Yes Dry BiomassSuspension Burner no 3 OHSauderWoodArchbold
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

B009 ICR Phase I PM and Metals B009 Particulate Matter (PM) filterable ET Sample #1

B009 ICR Phase I PM and Metals B009 Particulate Matter (PM) filterable ET Sample #2

B009 ICR Phase I PM and Metals B009 Particulate Matter (PM) filterable ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

6/18/2008 0.033 -3.411247718 0

6/18/2008 0.015 -4.199705078 0

6/18/2008 0.019 -3.9633163 0
Appendix E-4g (ii): Biomass Suspension Burn

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -3.858089698

Variance of natural log of 

test runs (σ2) 0.163720731

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 6.355587406

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.094929563

Flatness of z distribution 

(β2z) 68.95055999

Skewness of z distribution 

(√β1z) 0.77383372
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990837181 0.999280199 0.99602522

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.022908911

exp (2μ + σ2) 0.000524818

exp (σ2) - 1 0.177885322

(σ2/n) + [σ4/(2(n - 1))] 0.061274696

Square root term 0.023864095

Confidence Level 99% 99.9% 99.5%

UPL 5.06E-02 5.71E-02 5.30E-02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.39E+00 1.09E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-4g (ii): Biomass Suspension Burner Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Suspension Burner Dy Biomass 3 OHSauderWoodArchboldB009 ICR Phase I PM and Metals B009

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.022333333 -3.801674948 3 2 ET /Wood: Plywood, Particleboard (containing glues or resins)/

d (containing glues or resins)/
Appendix E-4g (iii): Biomass Suspension Burner Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 68.95056 0.7738337

1.24241E-05 -5 =f(a) 1300.3284

4.96952E-05 1 -4.899 1183.1084

0.000104885 2 -4.798 1073.5872

0.000185548 3 -4.697 971.43608

0.000301893 4 -4.596 876.33323

0.000467457 5 -4.495 787.96373

0.000699852 6 -4.394 706.01952

0.001021523 7 -4.293 630.19941

0.001460433 8 -4.192 560.20904

0.002050579 9 -4.091 495.76095

0.002832165 10 -3.99 436.57452

0.00385125 11 -3.889 382.376

0.005158632 12 -3.788 332.8985

0.006807728 13 -3.687 287.882

0.008851196 14 -3.586 247.07334

0.011336097 15 -3.485 210.22622

0.014297474 16 -3.384 177.1012

0.017750367 17 -3.283 147.4657

0.021680473 18 -3.182 121.09403

0.026033934 19 -3.081 97.767325

0.030706991 20 -2.98 77.273606

0.035536599 21 -2.879 59.407751

0.040293331 22 -2.778 43.9715

0.044678154 23 -2.677 30.773458

0.048324719 24 -2.576 19.62909

0.050808722 25 -2.475 10.360727

0.05166554 26 -2.374 2.7975607

0.052914273 27 -2.273 -3.224354

0.056725392 28 -2.172 -7.8621

0.063491463 29 -2.071 -11.26589

0.073493039 30 -1.97 -13.5791

0.086849524 31 -1.869 -14.9382

0.103473309 32 -1.768 -15.47283

0.123032504 33 -1.667 -15.30575

0.144927815 34 -1.566 -14.55289

0.168288635 35 -1.465 -13.32326

0.19199231 36 -1.364 -11.71906

0.21470868 37 -1.263 -9.835607

0.234969614 38 -1.162 -7.761344

0.251260519 39 -1.061 -5.577866

0.262127978 40 -0.96 -3.359902

0.266295233 41 -0.859 -1.175316

0.269815112 42 -0.758 0.914889

0.281619362 43 -0.657 2.8565739

0.301839611 44 -0.556 4.6024621

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.330098994 45 -0.455 6.1121397

0.3655086 46 -0.354 7.3520559

0.406705894 47 -0.253 8.2955227

0.451933578 48 -0.152 8.9227148

0.499153144 49 -0.051 9.2206699

0.546183651 50 0.05 9.1832884

0.59085353 51 0.151 8.8113335

0.63115173 52 0.252 8.1124316

0.665364615 53 0.353 7.1010715

0.692186563 54 0.454 5.7986051

0.710795054 55 0.555 4.233247

0.720884822 56 0.656 2.4400749

0.722659896 57 0.757 0.461029

0.728533292 58 0.858 -1.655088

0.741006352 59 0.959 -3.852609

0.758750501 60 1.06 -6.069005

0.780272597 61 1.161 -8.234886

0.804031448 62 1.262 -10.274

0.828545536 63 1.363 -12.10322

0.852483724 64 1.464 -13.63257

0.874733292 65 1.565 -14.76521

0.894442467 66 1.666 -15.39744

0.91103738 67 1.767 -15.41868

0.924215771 68 1.868 -14.7115

0.93392158 69 1.969 -13.15161

0.940305645 70 2.07 -10.60785

0.94367816 71 2.171 -6.942196

0.944458278 72 2.272 -2.009773

0.945791023 73 2.373 4.3411687

0.948739881 74 2.474 12.269237

0.952826246 75 2.575 21.939904

0.957616003 76 2.676 33.525504

0.962736755 77 2.777 47.205234

0.967886628 78 2.878 63.165155

0.972835935 79 2.979 81.598188

0.977423335 80 3.08 102.70412

0.981548148 81 3.181 126.6896

0.985160449 82 3.282 153.76814

0.988250298 83 3.383 184.16011

0.990837181 84 3.484 218.09275

0.992960425 85 3.585 255.80016

0.994671044 86 3.686 297.52331

0.99602522 87 3.787 343.51001

0.997079416 88 3.888 394.01496

0.997886999 89 3.989 449.2997

0.998496144 90 4.09 509.63266

0.998948762 91 4.191 575.28911

0.999280199 92 4.292 646.55119

0.999519466 93 4.393 723.7079

0.999689805 94 4.494 807.05511

0.999809427 95 4.595 896.89554

0.999892315 96 4.696 993.53879
0.999948995 97 4.797 1097.3013

0.999987253 98 4.898 1208.5064 1 99 4.999 1327.4843
distribution of Z

Normal 

distribution

1.48672E-06 0.001933224

2.45094E-06 0.002899727

3.9995E-06 0.004293815

6.46025E-06 0.006275717

1.03291E-05 0.009051723

1.63472E-05 0.012881038

2.56093E-05 0.018080638

3.97118E-05 0.025026332

6.09553E-05 0.034147683

9.26132E-05 0.045914001

0.000139285 0.060808271

0.000207351 0.079285927

0.000305546 0.101715773

0.000445674 0.128301495

0.000643469 0.158984063

0.000919619 0.193328038

0.001300942 0.230398414

0.001821704 0.26863884

0.002525035 0.305766607

0.003464389 0.338704031

0.004704958 0.363569033

0.006324913 0.375748842

0.008416337 0.370078981

0.011085658 0.341144044

0.014453386 0.283706829

0.018652949 0.193258115

0.023828414 0.066661435

0.030130931 -0.097152794

0.03771375 -0.296509255

0.046725789 -0.52640781

0.057303789 -0.778133612

0.069563239 -1.039149271

0.083588399 -1.293348779

0.099421884 -1.521726976

0.117054396 -1.703479329

0.136415346 -1.817497569

0.157365126 -1.844172072

0.179689839 -1.767358617

0.203099244 -1.576323063

0.227228529 -1.267450323

0.251644341 -0.845500294

0.275855243 -0.324217097

0.299326439 0.27385047

0.321498297 0.918383647

0.341807853 1.573157674



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 2.198611171

0.37471238 2.754906384

0.386376486 3.20519492

0.394360216 3.518763752

0.398423793 3.673734273

0.398443914 3.659025355

0.394419966 3.475365874

0.386474058 3.135244354

0.374844865 2.661800179

0.359875719 2.086777171

0.34199778 1.447761091

0.32170943 0.784995099

0.299553264 0.13810273

0.276092166 -0.4569567

0.25188591 -0.970417805

0.227469632 -1.380514378

0.203335281 -1.674442804

0.17991684 -1.848464836

0.157579839 -1.90722307

0.136615273 -1.86241741

0.117237788 -1.73104093

0.099587708 -1.533395565

0.083736272 -1.291102514

0.069693339 -1.025293396

0.05741676 -0.755122634

0.046822635 -0.496687296

0.037795734 -0.262385377

0.030199481 -0.06069409

0.023885038 0.103688981

0.018699163 0.229424461

0.014490659 0.317923674

0.011115369 0.37264835

0.008439746 0.398400201

0.006343145 0.400665753

0.004718997 0.385061593

0.003475077 0.356904765

0.002533081 0.320914985

0.001827693 0.281041014

0.001305351 0.240393649

0.000922829 0.201262329

0.00064578 0.165190734

0.00044732 0.133088099

0.000306705 0.105356358

0.000208159 0.08201758

0.000139842 0.062830863

9.29928E-05 0.047392166

6.12113E-05 0.035214184

3.98826E-05 0.02578614

2.5722E-05 0.018615231

1.64209E-05 0.013252559

1.03767E-05 0.009306784

6.49066E-06 0.006448721
4.01874E-06 0.004409765

2.46298E-06 0.002976521

1.49417E-06 0.001983489
Absolute values

0.001933224 9.76278E-05

0.002899727 0.000292872

0.004293815 0.000433675

0.006275717 0.000633847

0.009051723 0.000914224

0.012881038 0.001300985

0.018080638 0.001826144

0.025026332 0.002527659

0.034147683 0.003448916

0.045914001 0.004637314

0.060808271 0.006141635

0.079285927 0.008007879

0.101715773 0.010273293

0.128301495 0.012958451

0.158984063 0.01605739

0.193328038 0.019526132

0.230398414 0.02327024

0.26863884 0.027132523

0.305766607 0.030882427

0.338704031 0.034209107

0.363569033 0.036720472

0.375748842 0.037950633

0.370078981 0.037377977

0.341144044 0.034455548

0.283706829 0.02865439

0.193258115 0.01951907

0.066661435 0.006732805

0.097152794 0.009812432

0.296509255 0.029947435

0.52640781 0.053167189

0.778133612 0.078591495

1.039149271 0.104954076

1.293348779 0.130628227

1.521726976 0.153694425

1.703479329 0.172051412

1.817497569 0.183567254

1.844172072 0.186261379

1.767358617 0.17850322

1.576323063 0.159208629

1.267450323 0.128012483

0.845500294 0.08539553

0.324217097 0.032745927

0.27385047 0.027658897

0.918383647 0.092756748

1.573157674 0.158888925



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
2.198611171 0.222059728

2.754906384 0.278245545

3.20519492 0.323724687

3.518763752 0.355395139

3.673734273 0.371047162

3.659025355 0.369561561

3.475365874 0.351011953

3.135244354 0.31665968

2.661800179 0.268841818

2.086777171 0.210764494

1.447761091 0.14622387

0.784995099 0.079284505

0.13810273 0.013948376

0.4569567 0.046152627

0.970417805 0.098012198

1.380514378 0.139431952

1.674442804 0.169118723

1.848464836 0.186694948

1.90722307 0.19262953

1.86241741 0.188104158

1.73104093 0.174835134

1.533395565 0.154872952

1.291102514 0.130401354

1.025293396 0.103554633

0.755122634 0.076267386

0.496687296 0.050165417

0.262385377 0.026500923

0.06069409 0.006130103

0.103688981 0.010472587

0.229424461 0.023171871

0.317923674 0.032110291

0.37264835 0.037637483

0.398400201 0.04023842

0.400665753 0.040467241

0.385061593 0.038891221

0.356904765 0.036047381

0.320914985 0.032412413

0.281041014 0.028385142

0.240393649 0.024279759

0.201262329 0.020327495

0.165190734 0.016684264

0.133088099 0.013441898

0.105356358 0.010640992

0.08201758 0.008283776

0.062830863 0.006345917

0.047392166 0.004786609

0.035214184 0.003556633

0.02578614 0.0026044

0.018615231 0.001880138

0.013252559 0.001338509

0.009306784 0.000939985

0.006448721 0.000651321
0.004409765 0.000445386

0.002976521 0.000300629

0.001983489 0.000100166
Cumulative normalization

9.76278E-05 1.24241E-05

0.0003905 4.96952E-05

0.000824176 0.000104885

0.001458023 0.000185548

0.002372247 0.000301893

0.003673232 0.000467457

0.005499376 0.000699852

0.008027036 0.001021523

0.011475952 0.001460433

0.016113266 0.002050579

0.022254901 0.002832165

0.03026278 0.00385125

0.040536073 0.005158632

0.053494524 0.006807728

0.069551914 0.008851196

0.089078046 0.011336097

0.112348286 0.014297474

0.139480809 0.017750367

0.170363236 0.021680473

0.204572343 0.026033934

0.241292816 0.030706991

0.279243449 0.035536599

0.316621426 0.040293331

0.351076974 0.044678154

0.379731364 0.048324719

0.399250433 0.050808722

0.405983238 0.05166554

0.415795671 0.052914273

0.445743105 0.056725392

0.498910294 0.063491463

0.577501789 0.073493039

0.682455865 0.086849524

0.813084092 0.103473309

0.966778517 0.123032504

1.138829929 0.144927815

1.322397183 0.168288635

1.508658562 0.19199231

1.687161783 0.21470868

1.846370412 0.234969614

1.974382895 0.251260519

2.059778424 0.262127978

2.092524351 0.266295233

2.120183249 0.269815112

2.212939997 0.281619362

2.371828922 0.301839611

2 ( ) ( )

i

f x f b



  



 
2.59388865 0.330098994

2.872134195 0.3655086

3.195858882 0.406705894

3.551254021 0.451933578

3.922301183 0.499153144

4.291862743 0.546183651

4.642874697 0.59085353

4.959534377 0.63115173

5.228376195 0.665364615

5.439140689 0.692186563

5.585364559 0.710795054

5.664649064 0.720884822

5.67859744 0.722659896

5.724750067 0.728533292

5.822762265 0.741006352

5.962194217 0.758750501

6.13131294 0.780272597

6.318007889 0.804031448

6.510637419 0.828545536

6.698741577 0.852483724

6.873576711 0.874733292

7.028449663 0.894442467

7.158851017 0.91103738

7.26240565 0.924215771

7.338673036 0.93392158

7.388838453 0.940305645

7.415339376 0.94367816

7.421469479 0.944458278

7.431942066 0.945791023

7.455113937 0.948739881

7.487224228 0.952826246

7.524861711 0.957616003

7.565100132 0.962736755

7.605567373 0.967886628

7.644458593 0.972835935

7.680505975 0.977423335

7.712918388 0.981548148

7.741303531 0.985160449

7.765583289 0.988250298

7.785910784 0.990837181

7.802595049 0.992960425

7.816036947 0.994671044

7.826677939 0.99602522

7.834961714 0.997079416

7.841307632 0.997886999

7.84609424 0.998496144

7.849650873 0.998948762

7.852255273 0.999280199

7.854135411 0.999519466

7.85547392 0.999689805

7.856413905 0.999809427

7.857065226 0.999892315
7.857510612 0.999948995

7.857811241 0.999987253

7.857911407 1

395.8386369
Appendix E-4h (i): Biomass Suspension Burner TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Dry BiomassSuspension Burner No 2 VAATCPanels

YES Yes Dry BiomassSuspension Burner No 2 VAATCPanels

YES Yes Dry BiomassSuspension Burner No 2 VAATCPanels
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

Babcock & Wilcox Boiler ICR Phase I PM and Metals (2) TSM8 ET Sample #1

Babcock & Wilcox Boiler ICR Phase I PM and Metals (2) TSM8 ET Sample #2

Babcock & Wilcox Boiler ICR Phase I PM and Metals (2) TSM8 ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

8/1/2006 0.004122437 -5.491310786 0

8/1/2006 0.004843251 -5.33016909 0

8/1/2006 0.005248208 -5.249868594 0
Appendix E-4h (ii): Biomass Suspension Burn

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -5.357116156

Variance of natural log of 

test runs (σ2) 0.015118191

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.247230737

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.000696137

Flatness of z distribution 

(β2z) 4666.640766

Skewness of z distribution 

(√β1z) 0.214859064
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815433 0.999274636 0.996005646

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.004750255

exp (2μ + σ2) 2.25649E-05

exp (σ2) - 1 0.015233049

(σ2/n) + [σ4/(2(n - 1))] 0.005096537

Square root term 0.001437437

Confidence Level 99% 99.9% 99.5%

UPL 6.42E-03 6.81E-03 6.56E-03

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -8.03E-01 -9.39E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-4h (ii): Biomass Suspension Burner TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Suspension Burner Dy Biomass 2 VAATCPanels Babcock & Wilcox BoilerICR Phase I PM and Metals (2)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 0.004737965 -5.35214749 3 2 ET /Wood: Plywood, Particleboard (containing glues or resins)/

d (containing glues or resins)/
Appendix E-4h (iii): Biomass Suspension Burner Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 4666.6408 0.2148591

1.28168E-05 -5 =f(a) 92881.24

5.12745E-05 1 -4.899 84527.445

0.000108235 2 -4.798 76720.784

0.000191507 3 -4.697 69437.96

0.000311644 4 -4.596 62656.16

0.000482651 5 -4.495 56353.06

0.000722756 6 -4.394 50506.819

0.001055193 7 -4.293 45096.081

0.001508934 8 -4.192 40099.976

0.002119217 9 -4.091 35498.119

0.002927741 10 -3.99 31270.611

0.003982316 11 -3.889 27398.038

0.005335717 12 -3.788 23861.47

0.007043494 13 -3.687 20642.465

0.009160486 14 -3.586 17723.063

0.011735791 15 -3.485 15085.792

0.014806095 16 -3.384 12713.665

0.018387336 17 -3.283 10590.178

0.022464939 18 -3.182 8699.3145

0.026983074 19 -3.081 7025.5432

0.031833723 20 -2.98 5553.8173

0.036846656 21 -2.879 4269.5755

0.041781687 22 -2.778 3158.7421

0.04632486 23 -2.677 2207.7264

0.050090258 24 -2.576 1403.4231

0.052629065 25 -2.475 733.2122

0.053447197 26 -2.374 184.95908

0.054862213 27 -2.273 -252.9857

0.059005234 28 -2.172 -591.7862

0.066309622 29 -2.071 -842.1212

0.077097916 30 -1.97 -1014.184

0.091530737 31 -1.869 -1117.683

0.109558656 32 -1.768 -1161.842

0.130882511 33 -1.667 -1155.397

0.15492787 34 -1.566 -1106.601

0.180838925 35 -1.465 -1023.221

0.207495975 36 -1.364 -912.5381

0.233558802 37 -1.263 -781.3496

0.257535809 38 -1.162 -635.9662

0.277876001 39 -1.061 -482.2138

0.293078007 40 -0.96 -325.4327

0.301807769 41 -0.859 -170.4781

0.30301463 42 -0.758 -21.71998

0.30999467 43 -0.657 116.95712

0.325359442 44 -0.556 242.15391

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.348794224 45 -0.455 350.9564

0.379465097 46 -0.354 440.93593

0.416054929 47 -0.253 510.1491

0.456840669 48 -0.152 557.13784

0.499806299 49 -0.051 580.92935

0.542781999 50 0.05 581.03617

0.583597221 51 0.151 557.4561

0.620233826 52 0.252 510.67227

0.650965446 53 0.353 441.6531

0.674470733 54 0.454 351.85231

0.68991102 55 0.555 243.20892

0.696966718 56 0.656 118.14724

0.698102378 57 0.757 -20.4231

0.706769376 58 0.858 -169.1072

0.721920145 59 0.959 -324.0248

0.74222266 60 1.06 -480.8104

0.766176459 61 1.161 -634.6131

0.792230374 62 1.262 -780.0969

0.818891686 63 1.363 -911.4404

0.844818301 64 1.464 -1022.337

0.868888128 65 1.565 -1105.994

0.890242706 66 1.666 -1155.135

0.908304923 67 1.767 -1161.997

0.922773117 68 1.868 -1118.331

0.933595699 69 1.969 -1015.406

0.94093157 70 2.07 -844.0015

0.94510204 71 2.171 -594.4148

0.946539731 72 2.272 -256.4563

0.94734025 73 2.373 180.54831

0.949866418 74 2.474 727.75875

0.953623764 75 2.575 1396.8201

0.958162888 76 2.676 2199.8626

0.963097169 77 2.777 3149.5019

0.968111909 78 2.878 4258.839

0.972966208 79 2.979 5541.46

0.977489182 80 3.08 7011.4366

0.98157226 81 3.181 8683.3255

0.985159167 82 3.282 10572.169

0.988234989 83 3.383 12693.494

0.990815433 84 3.484 15063.314

0.992937039 85 3.585 17698.127

0.994648836 86 3.686 20614.915

0.996005646 87 3.787 23831.148

0.997063045 88 3.888 27364.78

0.997873857 89 3.989 31234.25

0.998485957 90 4.09 35458.481

0.998941114 91 4.191 40056.885

0.999274636 92 4.292 45049.357

0.999515556 93 4.393 50456.275

0.999687167 94 4.494 56298.508

0.999807745 95 4.595 62597.405

0.999891333 96 4.696 69374.802
0.999948516 97 4.797 76653.022

0.99998713 98 4.898 84454.872 1 99 4.999 92803.643
distribution of Z

Normal 

distribution

1.48672E-06 0.138088351

2.45094E-06 0.207171676

3.9995E-06 0.306844982

6.46025E-06 0.448586358

1.03291E-05 0.647181014

1.63472E-05 0.921217416

2.56093E-05 1.293442285

3.97118E-05 1.790845024

6.09553E-05 2.444304136

9.26132E-05 3.287593884

0.000139285 4.355526325

0.000207351 5.681002087

0.000305546 7.290774453

0.000445674 9.199807788

0.000643469 11.40424362

0.000919619 13.87318217

0.001300942 16.5397424

0.001821704 19.2921676

0.002525035 21.96606979

0.003464389 24.33921377

0.004704958 26.13047443

0.006324913 27.00469292

0.008416337 26.58503928

0.011085658 24.47410064

0.014453386 20.28421606

0.018652949 13.6765697

0.023828414 4.407281611

0.030130931 -7.622694189

0.03771375 -22.31847616

0.046725789 -39.34877803

0.057303789 -58.11659934

0.069563239 -77.74968123

0.083588399 -97.1164939

0.099421884 -114.8717214

0.117054396 -129.5324751

0.136415346 -139.5829887

0.157365126 -143.6016709

0.179689839 -140.4005866

0.203099244 -129.164264

0.227228529 -109.5727242

0.251644341 -81.89328518

0.275855243 -47.02727613

0.299326439 -6.501363242

0.321498297 37.60151424

0.341807853 82.77010674



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 126.2432977

0.37471238 165.2241521

0.386376486 197.1096172

0.394360216 219.7129976

0.398423793 231.456076

0.398443914 231.5103249

0.394419966 219.871817

0.386474058 197.3615864

0.374844865 165.5513982

0.359875719 126.6231037

0.34199778 83.17690985

0.32170943 38.00908147

0.299553264 -6.117805292

0.276092166 -46.68916602

0.25188591 -81.61727387

0.227469632 -109.3697562

0.203335281 -129.0392385

0.17991684 -140.3525776

0.157579839 -143.6246305

0.136615273 -139.666813

0.117237788 -129.6642874

0.099587708 -115.0372247

0.083736272 -97.30125548

0.069693339 -77.94023799

0.05741676 -58.30130875

0.046822635 -39.51837636

0.037795734 -22.46634224

0.030199481 -7.744846711

0.023885038 4.312403255

0.018699163 13.60847916

0.014490659 20.24084328

0.011115369 24.45228408

0.008439746 26.58099681

0.006343145 27.01443429

0.004718997 26.15013246

0.003475077 24.36528474

0.002533081 21.99556463

0.001827693 19.32268353

0.001305351 16.56946988

0.000922829 13.90086408

0.00064578 11.42910349

0.00044732 9.221462038

0.000306705 7.309140767

0.000208159 5.696212799

0.000139842 4.367852547

9.29928E-05 3.297383313

6.12113E-05 2.451933316

3.98826E-05 1.796685262

2.5722E-05 1.297837444

1.64209E-05 0.924471345

1.03767E-05 0.649552291

6.49066E-06 0.450288166
4.01874E-06 0.308048291

2.46298E-06 0.20801025

1.49417E-06 0.13866451
Absolute values

0.138088351 0.006973462

0.207171676 0.020924339

0.306844982 0.030991343

0.448586358 0.045307222

0.647181014 0.065365282

0.921217416 0.093042959

1.293442285 0.130637671

1.790845024 0.180875347

2.444304136 0.246874718

3.287593884 0.332046982

4.355526325 0.439908159

5.681002087 0.573781211

7.290774453 0.73636822

9.199807788 0.929180587

11.40424362 1.151828606

13.87318217 1.401191399

16.5397424 1.670513982

19.2921676 1.948508928

21.96606979 2.218573049

24.33921377 2.458260591

26.13047443 2.639177918

27.00469292 2.727473985

26.58503928 2.685088967

24.47410064 2.471884164

20.28421606 2.048705822

13.6765697 1.381333539

4.407281611 0.445135443

7.622694189 0.769892113

22.31847616 2.254166092

39.34877803 3.974226581

58.11659934 5.869776533

77.74968123 7.852717804

97.1164939 9.808765884

114.8717214 11.60204386

129.5324751 13.08277998

139.5829887 14.09788186

143.6016709 14.50376876

140.4005866 14.18045925

129.164264 13.04559067

109.5727242 11.06684514

81.89328518 8.271221803

47.02727613 4.749754889

6.501363242 0.656637687

37.60151424 3.797752938

82.77010674 8.359780781



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
126.2432977 12.75057307

165.2241521 16.68763937

197.1096172 19.90807134

219.7129976 22.19101275

231.456076 23.37706368

231.5103249 23.38254282

219.871817 22.20705352

197.3615864 19.93352022

165.5513982 16.72069122

126.6231037 12.78893348

83.17690985 8.400867895

38.00908147 3.838917228

6.117805292 0.617898334

46.68916602 4.715605768

81.61727387 8.243344661

109.3697562 11.04634538

129.0392385 13.03296309

140.3525776 14.17561034

143.6246305 14.50608768

139.666813 14.10634812

129.6642874 13.09609303

115.0372247 11.6187597

97.30125548 9.827426804

77.94023799 7.871964037

58.30130875 5.888432183

39.51837636 3.991356013

22.46634224 2.269100566

7.744846711 0.782229518

4.312403255 0.435552729

13.60847916 1.374456395

20.24084328 2.044325171

24.45228408 2.469680692

26.58099681 2.684680678

27.01443429 2.728457864

26.15013246 2.641163378

24.36528474 2.460893759

21.99556463 2.221552028

19.32268353 1.951591037

16.56946988 1.673516458

13.90086408 1.403987272

11.42910349 1.154339452

9.221462038 0.931367666

7.309140767 0.738223217

5.696212799 0.575317493

4.367852547 0.441153107

3.297383313 0.333035715

2.451933316 0.247645265

1.796685262 0.181465211

1.297837444 0.131081582

0.924471345 0.093371606

0.649552291 0.065604781

0.450288166 0.045479105
0.308048291 0.031112877

0.20801025 0.021009035

0.13866451 0.007002558
Cumulative normalization

0.006973462 1.28168E-05

0.027897801 5.12745E-05

0.058889144 0.000108235

0.104196366 0.000191507

0.169561649 0.000311644

0.262604608 0.000482651

0.393242279 0.000722756

0.574117626 0.001055193

0.820992344 0.001508934

1.153039326 0.002119217

1.592947485 0.002927741

2.166728695 0.003982316

2.903096915 0.005335717

3.832277502 0.007043494

4.984106107 0.009160486

6.385297506 0.011735791

8.055811489 0.014806095

10.00432042 0.018387336

12.22289347 0.022464939

14.68115406 0.026983074

17.32033197 0.031833723

20.04780596 0.036846656

22.73289493 0.041781687

25.20477909 0.04632486

27.25348491 0.050090258

28.63481845 0.052629065

29.07995389 0.053447197

29.84984601 0.054862213

32.1040121 0.059005234

36.07823868 0.066309622

41.94801521 0.077097916

49.80073302 0.091530737

59.6094989 0.109558656

71.21154276 0.130882511

84.29432275 0.15492787

98.39220461 0.180838925

112.8959734 0.207495975

127.0764326 0.233558802

140.1220233 0.257535809

151.1888684 0.277876001

159.4600902 0.293078007

164.2098451 0.301807769

164.8664828 0.30301463

168.6642357 0.30999467

177.0240165 0.325359442

2 ( ) ( )

i

f x f b



  



 
189.7745896 0.348794224

206.462229 0.379465097

226.3703003 0.416054929

248.561313 0.456840669

271.9383767 0.499806299

295.3209195 0.542781999

317.5279731 0.583597221

337.4614933 0.620233826

354.1821845 0.650965446

366.971118 0.674470733

375.3719859 0.68991102

379.2109031 0.696966718

379.8288014 0.698102378

384.5444072 0.706769376

392.7877519 0.721920145

403.8340972 0.74222266

416.8670603 0.766176459

431.0426707 0.792230374

445.5487584 0.818891686

459.6551065 0.844818301

472.7511995 0.868888128

484.3699592 0.890242706

494.197386 0.908304923

502.06935 0.922773117

507.9577822 0.933595699

511.9491382 0.94093157

514.2182388 0.94510204

515.0004683 0.946539731

515.436021 0.94734025

516.8104774 0.949866418

518.8548026 0.953623764

521.3244833 0.958162888

524.009164 0.963097169

526.7376218 0.968111909

529.3787852 0.972966208

531.839679 0.977489182

534.061231 0.98157226

536.0128221 0.985159167

537.6863385 0.988234989

539.0903258 0.990815433

540.2446652 0.992937039

541.1760329 0.994648836

541.9142561 0.996005646

542.4895736 0.997063045

542.9307267 0.997873857

543.2637624 0.998485957

543.5114077 0.998941114

543.6928729 0.999274636

543.8239545 0.999515556

543.9173261 0.999687167

543.9829309 0.999807745

544.02841 0.999891333
544.0595229 0.999948516

544.0805319 0.99998713

544.0875345 1

27473.69142
Appendix E-4i (i): Biomass Suspension/Grate Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Yes Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Yes Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Yes Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp

YES Wet BiomassSuspension/Grate no 1 FLUSSugarCorp
UnitID Data Source Source Tab Pollutant

Data 

Type

Boiler No. 8 ICR Phase I PM and Metals 010507 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 010507 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 010507 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 011006 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 011006 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 011006 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 032405 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 032405 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 032405 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 032605 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 032605 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 032605 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 060206 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 060206 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 060206 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 082206 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 082206 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 082206 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 113007 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 113007 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase I PM and Metals 113007 Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Comments Additional PM Data from Comments Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Comments Additional PM Data from Comments Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Comments Additional PM Data from Comments Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Comments Additional PM Data from Comments Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Voluntary Additional PM Data Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Voluntary Additional PM Data Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Voluntary Additional PM Data Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Voluntary Additional PM Data Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Voluntary Additional PM Data Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Voluntary Additional PM Data Particulate Matter (PM) filterable ET

Boiler No. 8 ICR Phase II - Voluntary Additional PM Data Particulate Matter (PM) filterable ET
Run Number Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

Sample #1 1/5/2007 0.01 -4.605170186 0

Sample #2 1/5/2007 0.008 -4.828313737 0

Sample #3 1/5/2007 0.011 -4.509860006 0

Sample #1 1/10/2006 0.019 -3.9633163 0

Sample #2 1/10/2006 0.02 -3.912023005 0

Sample #3 1/10/2006 0.024 -3.729701449 0

Sample #1 3/24/2005 0.0043 -5.449140256 0

Sample #2 3/24/2005 0.0034 -5.683979847 0

Sample #3 3/24/2005 0.0041 -5.496768305 0

Sample #1 3/26/2005 0.0034 -5.683979847 0

Sample #2 3/26/2005 0.0068 -4.990832667 0

Sample #3 3/26/2005 0.0078 -4.853631545 0

Sample #1 6/2/2006 0.0019 -6.265901393 0

Sample #2 6/2/2006 0.0026 -5.952243834 0

Sample #3 6/2/2006 0.0022 -6.119297919 0

Sample #1 8/22/2006 0.0101 -4.595219855 0

Sample #2 8/22/2006 0.0193 -3.947650183 0

Sample #3 8/22/2006 0.0167 -4.09234656 0

Sample #1 11/30/2007 0.016 -4.135166557 0

Sample #2 11/30/2007 0.011 -4.509860006 0

Sample #3 11/30/2007 0.017 -4.074541935 0

Sample #1 11/30/2010 0.013 -4.342805922 0

Sample #2 11/30/2010 0.006 -5.11599581 0

Sample #3 11/30/2010 0.011 -4.509860006 0

Sample #4 12/2/2010 0.006 -5.11599581 0

Sample #1 12/2/2009 0.01 -4.605170186 0

Sample #1 12/11/2008 0.006 -5.11599581 0

Sample #2 12/2/2009 0.008 -4.828313737 0

Sample #2 12/11/2008 0.005 -5.298317367 0

Sample #3 12/11/2008 0.014 -4.268697949 0

Sample #3 12/3/2009 0.004 -5.521460918 0

Sample #4 12/11/2008 0.006 -5.11599581 0
Appendix E-4i (ii): Biomass Suspension/Grate 

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

YES

YES

Number of sources with 

test data 1 YES

n 32 YES

n-1 31 YES

YES

Average of natural log of 

test run values (μ) -4.851173585

Variance of natural log of 

test runs (σ2) 0.467854153

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 19.28389367

Denominator for 

calculation of flatness of z 

distribution (β2z) 1.067667723

Flatness of z distribution 

(β2z) 20.06169959

Skewness of z distribution 

(√β1z) 1.60382118
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990772738 0.999294734 0.996047784

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.009879963

exp (2μ + σ2) 9.76137E-05

exp (σ2) - 1 0.596564532

(σ2/n) + [σ4/(2(n - 1))] 0.018150886

Square root term 0.013807409

Confidence Level 99% 99.9% 99.5%

UPL 2.59E-02 2.96E-02 2.73E-02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 7.29E-01 -3.08E-01

SE Skewness 0.43 0.43

Skewness Test normal normal

Kurtosis = -3.73E-01 -7.33E-01

SE Kurtosis 0.87 0.87

Kurtosis Test normal normal

Number of test runs = 32 32
ndix E-4i (ii): Biomass Suspension/Grate Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Suspension/Grate Wet Biomass 1 FLUSSugarCorp Boiler No. 8 ICR Phase I PM and Metals 060206

Suspension/Grate Wet Biomass 1 FLUSSugarCorp Boiler No. 8 ICR Phase I PM and Metals 032405

Suspension/Grate Wet Biomass 1 FLUSSugarCorp Boiler No. 8 ICR Phase I PM and Metals 032605

Suspension/Grate Wet Biomass 1 FLUSSugarCorp Boiler No. 8 ICR Phase II - Voluntary Additional PM Data

Suspension/Grate Wet Biomass 1 FLUSSugarCorp Boiler No. 8 ICR Phase II - Comments Additional PM Data from Comments

Suspension/Grate Wet Biomass 1 FLUSSugarCorp Boiler No. 8 ICR Phase I PM and Metals 010507

Suspension/Grate Wet Biomass 1 FLUSSugarCorp Boiler No. 8 ICR Phase I PM and Metals 113007

Suspension/Grate Wet Biomass 1 FLUSSugarCorp Boiler No. 8 ICR Phase I PM and Metals 082206

Suspension/Grate Wet Biomass 1 FLUSSugarCorp Boiler No. 8 ICR Phase I PM and Metals 011006

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.002233333 -6.104260041 3 2 ET /Bagasse/

Particulate Matter (PM) filterable 0.003933333 -5.538268036 3 2 ET /Bagasse/

Particulate Matter (PM) filterable 0.006 -5.11599581 3 2 ET /Bagasse/

Particulate Matter (PM) filterable 0.007571429 -4.883373514 7 6 ET /Bagasse/

Particulate Matter (PM) filterable 0.009 -4.710530702 4 3 ET /Bagasse/

Particulate Matter (PM) filterable 0.009666667 -4.639071738 3 2 ET /Bagasse/

Particulate Matter (PM) filterable 0.014666667 -4.222177934 3 2 ET /Bagasse/

Particulate Matter (PM) filterable 0.015366667 -4.175554618 3 2 ET /Wood: Unadulterated Timber/

Particulate Matter (PM) filterable 0.021 -3.863232841 3 2 ET /Bagasse/
Appendix E-4i (iii): Biomass Suspension/Grate Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 20.0617 1.6038212

1.03519E-05 -5 =f(a) 311.4088

4.13419E-05 1 -4.899 282.74912

8.713E-05 2 -4.798 256.011

0.000153896 3 -4.697 231.11085

0.000249957 4 -4.596 207.96686

0.000386292 5 -4.495 186.49902

0.000577118 6 -4.394 166.62907

0.000840442 7 -4.293 148.28053

0.001198559 8 -4.192 131.3787

0.001678358 9 -4.091 115.85066

0.002311344 10 -3.99 101.62527

0.003133189 11 -3.889 88.63313

0.004182643 12 -3.788 76.806659

0.005499612 13 -3.687 66.080031

0.007122214 14 -3.586 56.389196

0.009082676 15 -3.485 47.671883

0.011402026 16 -3.384 39.867595

0.014083627 17 -3.283 32.917609

0.017105822 18 -3.182 26.76498

0.020414123 19 -3.081 21.354538

0.023913667 20 -2.98 16.632886

0.027462874 21 -2.879 12.548405

0.030869464 22 -2.778 9.0512506

0.033890154 23 -2.677 6.0933542

0.036235331 24 -2.576 3.6284222

0.037579902 25 -2.475 1.6119365

0.037581132 26 -2.374 0.0011546

0.039258514 27 -2.273 -1.244891

0.042910458 28 -2.172 -2.165391

0.048756416 29 -2.071 -2.797762

0.056899276 30 -1.97 -3.177645

0.067285846 31 -1.869 -3.338906

0.079672063 32 -1.768 -3.313634

0.093597593 33 -1.667 -3.132143

0.108374468 34 -1.566 -2.822973

0.123093806 35 -1.465 -2.412886

0.136653491 36 -1.364 -1.926872

0.147807882 37 -1.263 -1.388143

0.155238445 38 -1.162 -0.818135

0.157641722 39 -1.061 -0.236512

0.161454772 40 -0.96 0.338842

0.172456076 41 -0.859 0.8918149

0.19130376 42 -0.758 1.4080716

0.218261297 43 -0.657 1.8750521

0.253141622 44 -0.556 2.2819719

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.295283623 45 -0.455 2.619822

0.343565606 46 -0.354 2.8813688

0.396456886 47 -0.253 3.0611541

0.452104792 48 -0.152 3.1554952

0.50845064 49 -0.051 3.1624849

0.563365109 50 0.05 3.0819912

0.614791217 51 0.151 2.9156579

0.660882196 52 0.252 2.666904

0.700122023 53 0.353 2.340924

0.731418156 54 0.454 1.944688

0.754158933 55 0.555 1.4869413

0.768231774 56 0.656 0.9782048

0.774002262 57 0.757 0.4307748

0.775746531 58 0.858 -0.141277

0.783880291 59 0.959 -0.722103

0.797043846 60 1.06 -1.294081

0.81375484 61 1.161 -1.837813

0.832518256 62 1.262 -2.332125

0.851925488 63 1.363 -2.754069

0.870735352 64 1.464 -3.078919

0.887932361 65 1.565 -3.280176

0.902760318 66 1.666 -3.329564

0.91473183 67 1.767 -3.197033

0.923616467 68 1.868 -2.850757

0.929411878 69 1.969 -2.257134

0.932303027 70 2.07 -1.380786

0.932614968 71 2.171 -0.184562

0.934465755 72 2.272 1.3704677

0.938017211 73 2.373 3.3250054

0.942801557 74 2.474 5.7215305

0.948377159 75 2.575 8.6042971

0.954351535 76 2.676 12.019335

0.960395606 77 2.777 16.01445

0.966250058 78 2.878 20.639222

0.971725153 79 2.979 25.945008

0.976695632 80 3.08 31.984939

0.981092311 81 3.181 38.813922

0.984891915 82 3.282 46.48864

0.9881064 83 3.383 55.06755

0.990772738 84 3.484 64.610887

0.992943834 85 3.585 75.180658

0.994680953 86 3.686 86.840649

0.996047784 87 3.787 99.656419

0.997106123 88 3.888 113.6953

0.997912994 89 3.989 129.02641

0.998518974 90 4.09 145.72063

0.99896748 91 4.191 163.85062

0.999294734 92 4.292 183.49082

0.999530211 93 4.393 204.71744

0.999697348 94 4.494 227.60848

0.999814397 95 4.595 252.24368

0.999895292 96 4.696 278.7046
0.999950477 97 4.797 307.07454

0.999987643 98 4.898 337.4386 1 99 4.999 369.88363
distribution of Z

Normal 

distribution

1.48672E-06 0.000462978

2.45094E-06 0.000693001

3.9995E-06 0.001023917

6.46025E-06 0.001493033

1.03291E-05 0.002148108

1.63472E-05 0.003048746

2.56093E-05 0.004267247

3.97118E-05 0.005888482

6.09553E-05 0.008008222

9.26132E-05 0.010729299

0.000139285 0.014154873

0.000207351 0.018378141

0.000305546 0.02346796

0.000445674 0.029450145

0.000643469 0.036284706

0.000919619 0.043839973

0.001300942 0.051865435

0.001821704 0.059966136

0.002525035 0.0675825

0.003464389 0.073980423

0.004704958 0.078257021

0.006324913 0.079367566

0.008416337 0.076178379

0.011085658 0.067548844

0.014453386 0.052442988

0.018652949 0.030067368

0.023828414 2.75115E-05

0.030130931 -0.037509714

0.03771375 -0.081665007

0.046725789 -0.130727644

0.057303789 -0.182091122

0.069563239 -0.23226511

0.083588399 -0.276981327

0.099421884 -0.311403536

0.117054396 -0.330441341

0.136415346 -0.329154717

0.157365126 -0.303222483

0.179689839 -0.249435164

0.203099244 -0.166162693

0.227228529 -0.053742218

0.251644341 0.085267664

0.275855243 0.246011808

0.299326439 0.421473044

0.321498297 0.602826047

0.341807853 0.779995922



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 0.942381931

0.37471238 1.079684576

0.386376486 1.182757979

0.394360216 1.244401785

0.398423793 1.260009218

0.398443914 1.228000642

0.394419966 1.14999369

0.386474058 1.030689212

0.374844865 0.877483358

0.359875719 0.699845995

0.34199778 0.508530624

0.32170943 0.314697705

0.299553264 0.129039995

0.276092166 -0.039005455

0.25188591 -0.181887618

0.227469632 -0.294364198

0.203335281 -0.373692259

0.17991684 -0.419588611

0.157579839 -0.433985685

0.136615273 -0.420627313

0.117237788 -0.384560535

0.099587708 -0.331583663

0.083736272 -0.267707661

0.069693339 -0.198678788

0.05741676 -0.129597312

0.046822635 -0.064652048

0.037795734 -0.006975644

0.030199481 0.041387414

0.023885038 0.079417882

0.018699163 0.106987829

0.014490659 0.124681937

0.011115369 0.133599346

0.008439746 0.135157895

0.006343145 0.130917585

0.004718997 0.122434411

0.003475077 0.111150138

0.002533081 0.098318798

0.001827693 0.084966981

0.001305351 0.071882502

0.000922829 0.059624805

0.00064578 0.048550196

0.00044732 0.038845551

0.000306705 0.030565157

0.000208159 0.023666649

0.000139842 0.018043281

9.29928E-05 0.013550969

6.12113E-05 0.010029507

3.98826E-05 0.00731809

2.5722E-05 0.005265747

1.64209E-05 0.003737533

1.03767E-05 0.002617448

6.49066E-06 0.001808976
4.01874E-06 0.001234052

2.46298E-06 0.000831103

1.49417E-06 0.000552669
Absolute values

0.000462978 2.33804E-05

0.000693001 6.99931E-05

0.001023917 0.000103416

0.001493033 0.000150796

0.002148108 0.000216959

0.003048746 0.000307923

0.004267247 0.000430992

0.005888482 0.000594737

0.008008222 0.00080883

0.010729299 0.001083659

0.014154873 0.001429642

0.018378141 0.001856192

0.02346796 0.002370264

0.029450145 0.002974465

0.036284706 0.003664755

0.043839973 0.004427837

0.051865435 0.005238409

0.059966136 0.00605658

0.0675825 0.006825833

0.073980423 0.007472023

0.078257021 0.007903959

0.079367566 0.008016124

0.076178379 0.007694016

0.067548844 0.006822433

0.052442988 0.005296742

0.030067368 0.003036804

2.75115E-05 2.77866E-06

0.037509714 0.003788481

0.081665007 0.008248166

0.130727644 0.013203492

0.182091122 0.018391203

0.23226511 0.023458776

0.276981327 0.027975114

0.311403536 0.031451757

0.330441341 0.033374575

0.329154717 0.033244626

0.303222483 0.030625471

0.249435164 0.025192952

0.166162693 0.016782432

0.053742218 0.005427964

0.085267664 0.008612034

0.246011808 0.024847193

0.421473044 0.042568777

0.602826047 0.060885431

0.779995922 0.078779588



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
0.942381931 0.095180575

1.079684576 0.109048142

1.182757979 0.119458556

1.244401785 0.12568458

1.260009218 0.127260931

1.228000642 0.124028065

1.14999369 0.116149363

1.030689212 0.10409961

0.877483358 0.088625819

0.699845995 0.070684445

0.508530624 0.051361593

0.314697705 0.031784468

0.129039995 0.01303304

0.039005455 0.003939551

0.181887618 0.018370649

0.294364198 0.029730784

0.373692259 0.037742918

0.419588611 0.04237845

0.433985685 0.043832554

0.420627313 0.042483359

0.384560535 0.038840614

0.331583663 0.03348995

0.267707661 0.027038474

0.198678788 0.020066558

0.129597312 0.013089329

0.064652048 0.006529857

0.006975644 0.00070454

0.041387414 0.004180129

0.079417882 0.008021206

0.106987829 0.010805771

0.124681937 0.012592876

0.133599346 0.013493534

0.135157895 0.013650947

0.130917585 0.013222676

0.122434411 0.012365876

0.111150138 0.011226164

0.098318798 0.009930199

0.084966981 0.008581665

0.071882502 0.007260133

0.059624805 0.006022105

0.048550196 0.00490357

0.038845551 0.003923401

0.030565157 0.003087081

0.023666649 0.002390332

0.018043281 0.001822371

0.013550969 0.001368648

0.010029507 0.00101298

0.00731809 0.000739127

0.005265747 0.00053184

0.003737533 0.000377491

0.002617448 0.000264362

0.001808976 0.000182707
0.001234052 0.000124639

0.000831103 8.39414E-05

0.000552669 2.79098E-05
Cumulative normalization

2.33804E-05 1.03519E-05

9.33735E-05 4.13419E-05

0.000196789 8.713E-05

0.000347585 0.000153896

0.000564544 0.000249957

0.000872468 0.000386292

0.00130346 0.000577118

0.001898196 0.000840442

0.002707027 0.001198559

0.003790686 0.001678358

0.005220328 0.002311344

0.00707652 0.003133189

0.009446784 0.004182643

0.012421249 0.005499612

0.016086004 0.007122214

0.020513841 0.009082676

0.02575225 0.011402026

0.03180883 0.014083627

0.038634663 0.017105822

0.046106685 0.020414123

0.054010644 0.023913667

0.062026769 0.027462874

0.069720785 0.030869464

0.076543218 0.033890154

0.08183996 0.036235331

0.084876764 0.037579902

0.084879543 0.037581132

0.088668024 0.039258514

0.09691619 0.042910458

0.110119682 0.048756416

0.128510885 0.056899276

0.151969661 0.067285846

0.179944775 0.079672063

0.211396532 0.093597593

0.244771108 0.108374468

0.278015734 0.123093806

0.308641205 0.136653491

0.333834156 0.147807882

0.350616588 0.155238445

0.356044552 0.157641722

0.364656586 0.161454772

0.389503779 0.172456076

0.432072556 0.19130376

0.492957987 0.218261297

0.571737575 0.253141622

2 ( ) ( )

i

f x f b



  



 
0.66691815 0.295283623

0.775966292 0.343565606

0.895424848 0.396456886

1.021109429 0.452104792

1.14837036 0.50845064

1.272398424 0.563365109

1.388547787 0.614791217

1.492647398 0.660882196

1.581273217 0.700122023

1.651957662 0.731418156

1.703319255 0.754158933

1.735103723 0.768231774

1.748136763 0.774002262

1.752076314 0.775746531

1.770446963 0.783880291

1.800177747 0.797043846

1.837920665 0.81375484

1.880299115 0.832518256

1.924131669 0.851925488

1.966615028 0.870735352

2.005455642 0.887932361

2.038945592 0.902760318

2.065984066 0.91473183

2.086050623 0.923616467

2.099139952 0.929411878

2.105669809 0.932303027

2.106374349 0.932614968

2.110554478 0.934465755

2.118575684 0.938017211

2.129381455 0.942801557

2.14197433 0.948377159

2.155467864 0.954351535

2.169118811 0.960395606

2.182341488 0.966250058

2.194707363 0.971725153

2.205933527 0.976695632

2.215863726 0.981092311

2.224445391 0.984891915

2.231705523 0.9881064

2.237727629 0.990772738

2.242631198 0.992943834

2.246554599 0.994680953

2.24964168 0.996047784

2.252032012 0.997106123

2.253854383 0.997912994

2.255223031 0.998518974

2.256236011 0.99896748

2.256975138 0.999294734

2.257506978 0.999530211

2.257884469 0.999697348

2.258148832 0.999814397

2.258331538 0.999895292
2.258456177 0.999950477

2.258540119 0.999987643

2.258568029 1

112.4879822
Appendix E-4j (i): Biomass Suspension/Grate TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Wet BiomassSuspension/Grate No 1 HIPuuneneSugarMill

YES Wet BiomassSuspension/Grate No 1 HIPuuneneSugarMill

YES Wet BiomassSuspension/Grate No 1 HIPuuneneSugarMill

YES Yes Wet BiomassSuspension/Grate No 1 HIPuuneneSugarMill

YES Yes Wet BiomassSuspension/Grate No 1 HIPuuneneSugarMill

YES Yes Wet BiomassSuspension/Grate No 1 HIPuuneneSugarMill

YES Wet BiomassSuspension/Grate No 2 HIPuuneneSugarMill

YES Wet BiomassSuspension/Grate No 2 HIPuuneneSugarMill

YES Wet BiomassSuspension/Grate No 2 HIPuuneneSugarMill

YES Yes Wet BiomassSuspension/Grate No 2 HIPuuneneSugarMill

YES Yes Wet BiomassSuspension/Grate No 2 HIPuuneneSugarMill

YES Yes Wet BiomassSuspension/Grate No 2 HIPuuneneSugarMill
UnitID Data Source Source Tab Pollutant

Data 

Type

Boiler 1 ICR Phase I PM and Metals (2) B1B2Bag(Hg) TSM8 ET

Boiler 1 ICR Phase I PM and Metals (2) B1B2Bag(Hg) TSM8 ET

Boiler 1 ICR Phase I PM and Metals (2) B1B2Bag(Hg) TSM8 ET

Boiler 1 ICR Phase I PM and Metals B1B2Bag TSM8 ET

Boiler 1 ICR Phase I PM and Metals B1B2Bag TSM8 ET

Boiler 1 ICR Phase I PM and Metals B1B2Bag TSM8 ET

Boiler 2 ICR Phase I PM and Metals (2) B1B2Bag(Hg) TSM8 ET

Boiler 2 ICR Phase I PM and Metals (2) B1B2Bag(Hg) TSM8 ET

Boiler 2 ICR Phase I PM and Metals (2) B1B2Bag(Hg) TSM8 ET

Boiler 2 ICR Phase I PM and Metals B1B2Bag TSM8 ET

Boiler 2 ICR Phase I PM and Metals B1B2Bag TSM8 ET

Boiler 2 ICR Phase I PM and Metals B1B2Bag TSM8 ET
Run Number Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

Sample #1 5/28/2006 0.000185947 -8.590050917 0

Sample #2 5/29/2006 0.00010075 -9.202865732 0

Sample #3 5/30/2006 0.000365246 -7.914939821 0

Sample #1 7/25/2007 0.000090245 -9.312982364 0

Sample #2 7/25/2007 0.000110637 -9.109255986 0

Sample #3 7/25/2007 0.000269483 -8.219005249 0

Sample #1 5/28/2006 0.000185947 -8.590050917 0

Sample #2 5/29/2006 0.00010075 -9.202865732 0

Sample #3 5/30/2006 0.000365246 -7.914939821 0

Sample #1 7/25/2007 0.000090245 -9.312982364 0

Sample #2 7/25/2007 0.000110637 -9.109255986 0

Sample #3 7/25/2007 0.000269483 -8.219005249 0
Appendix E-4j (ii): Biomass Suspension/Grate 

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES Yes

YES

Number of sources with 

test data 1

n 12

n-1 11

Average of natural log of 

test run values (μ) -8.724850011

Variance of natural log of 

test runs (σ2) 0.300394706

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 10.72107085

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.368323051

Flatness of z distribution 

(β2z) 31.10779221

Skewness of z distribution 

(√β1z) 1.145016828
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990821435 0.999286715 0.996038487

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.000188832

exp (2μ + σ2) 3.56575E-08

exp (σ2) - 1 0.35039171

(σ2/n) + [σ4/(2(n - 1))] 0.029134573

Square root term 0.000216407

Confidence Level 99% 99.9% 99.5%

UPL 4.40E-04 4.98E-04 4.62E-04

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 7.85E-01 3.89E-01

SE Skewness 0.71 0.71

Skewness Test normal normal

Kurtosis = -8.99E-01 -1.62E+00

SE Kurtosis 1.41 1.41

Kurtosis Test normal normal

Number of test runs = 12 12
ndix E-4j (ii): Biomass Suspension/Grate TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Suspension/Grate Wet Biomass 1 HIPuuneneSugarMill Boiler 1 ICR Phase I PM and Metals B1B2Bag

Suspension/Grate Wet Biomass 1 HIPuuneneSugarMill Boiler 1 ICR Phase I PM and Metals (2) B1B2Bag(Hg)

Suspension/Grate Wet Biomass 2 HIPuuneneSugarMill Boiler 2 ICR Phase I PM and Metals B1B2Bag

Suspension/Grate Wet Biomass 2 HIPuuneneSugarMill Boiler 2 ICR Phase I PM and Metals (2) B1B2Bag(Hg)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 0.000156788 -8.760613858 3 2 ET /Bagasse/

TSM8 0.000217314 -8.434166092 3 2 ET /Bagasse/

TSM8 0.000156788 -8.760613858 3 2 ET /Bagasse/

TSM8 0.000217314 -8.434166092 3 2 ET /Bagasse/
Appendix E-4j (iii): Biomass Suspension/Grate Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 31.107792 1.1450168

1.16247E-05 -5 =f(a) 539.82155

4.64743E-05 1 -4.899 490.8304

9.80419E-05 2 -4.798 445.07967

0.000173355 3 -4.697 402.43012

0.000281897 4 -4.596 362.74546

0.000436228 5 -4.495 325.8923

0.000652662 6 -4.394 291.74018

0.000951955 7 -4.293 260.16158

0.001359914 8 -4.192 231.03189

0.001907843 9 -4.091 204.22943

0.002632662 10 -3.99 179.63544

0.003576526 11 -3.889 157.13409

0.004785731 12 -3.788 136.61247

0.006308688 13 -3.687 117.96061

0.008192726 14 -3.586 101.07145

0.010479563 15 -3.485 85.840857

0.013199343 16 -3.384 72.167621

0.016363262 17 -3.283 59.953462

0.019955035 18 -3.182 49.103025

0.023921646 19 -3.081 39.523877

0.028164123 20 -2.98 31.126512

0.03252937 21 -2.879 23.824347

0.036804317 22 -2.778 17.533726

0.040713852 23 -2.677 12.173915

0.04392407 24 -2.576 7.6671088

0.046052225 25 -2.475 3.9384237

0.046684459 26 -2.374 0.9159027

0.047967119 27 -2.273 -1.469487

0.051554824 28 -2.172 -3.283853

0.057768354 29 -2.071 -4.590378

0.066814403 30 -1.97 -5.449319

0.07874024 31 -1.869 -5.91801

0.093392223 32 -1.768 -6.050859

0.110383242 33 -1.667 -5.899349

0.129074275 34 -1.566 -5.512038

0.14857474 35 -1.465 -4.93456

0.167765179 36 -1.364 -4.209622

0.185343969 37 -1.263 -3.377008

0.199897458 38 -1.162 -2.473577

0.209990285 39 -1.061 -1.533263

0.214269984 40 -0.96 -0.587074

0.216962285 41 -0.859 0.3369063

0.227484926 42 -0.758 1.2135183

0.246303076 43 -0.657 2.0205283

0.27342049 44 -0.556 2.738627

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.308344066 45 -0.455 3.3514304

0.350086891 46 -0.354 3.8454791

0.397211824 47 -0.253 4.2102387

0.447913636 48 -0.152 4.4380997

0.500133705 49 -0.051 4.5243775

0.551697736 50 0.05 4.4673124

0.600464477 51 0.151 4.2680697

0.644472104 52 0.252 3.9307395

0.682069194 53 0.353 3.4623369

0.71201883 54 0.454 2.8728018

0.733567264 55 0.555 2.1749991

0.746472283 56 0.656 1.3847186

0.750990572 57 0.757 0.5206749

0.754153764 58 0.858 -0.395492

0.763925883 59 0.959 -1.339219

0.778969959 60 1.06 -2.283015

0.797798479 61 1.161 -3.196466

0.818887486 62 1.262 -4.046234

0.840781127 63 1.363 -4.796053

0.862178858 64 1.464 -5.406736

0.882000001 65 1.565 -5.836167

0.899423137 66 1.666 -6.039309

0.913900522 67 1.767 -5.968197

0.925149971 68 1.868 -5.571943

0.933128403 69 1.969 -4.796733

0.937992237 70 2.07 -3.585829

0.940050182 71 2.171 -1.879566

0.940386685 72 2.272 0.3846416

0.942650879 73 2.373 3.2723089

0.94636251 74 2.474 6.8518736

0.951061818 75 2.575 11.194699

0.956334608 76 2.676 16.375072

0.961828369 77 2.777 22.470207

0.967260197 78 2.878 29.56024

0.972417819 79 2.979 37.728235

0.977155342 80 3.08 47.060179

0.981385377 81 3.181 57.644985

0.985069098 82 3.282 69.57449

0.98820558 83 3.383 82.943456

0.990821435 84 3.484 97.849571

0.992961462 85 3.585 114.39345

0.994680765 86 3.686 132.67862

0.996038487 87 3.787 152.81155

0.997093169 88 3.888 174.90163

0.997899581 89 3.989 199.06117

0.998506802 90 4.09 225.4054

0.998957295 91 4.191 254.05249

0.999286715 92 4.292 285.12352

0.999524223 93 4.393 318.7425

0.999693113 94 4.494 355.03638

0.99981159 95 4.595 394.135

0.999893603 96 4.696 436.17117
0.999949633 97 4.797 481.28058

0.99998742 98 4.898 529.60188 1 99 4.999 581.27663
distribution of Z

Normal 

distribution

1.48672E-06 0.000802563

2.45094E-06 0.001202996

3.9995E-06 0.001780097

6.46025E-06 0.002599798

1.03291E-05 0.00374683

1.63472E-05 0.005327442

2.56093E-05 0.00747125

3.97118E-05 0.010331476

6.09553E-05 0.014082607

9.26132E-05 0.018914338

0.000139285 0.025020518

0.000207351 0.032581862

0.000305546 0.041741382

0.000445674 0.052571968

0.000643469 0.065036358

0.000919619 0.078940889

0.001300942 0.093885901

0.001821704 0.109217453

0.002525035 0.123986835

0.003464389 0.136926081

0.004704958 0.146448917

0.006324913 0.150686918

0.008416337 0.147569751

0.011085658 0.134955868

0.014453386 0.110815686

0.018652949 0.073463216

0.023828414 0.021824508

0.030130931 -0.044277009

0.03771375 -0.123846402

0.046725789 -0.214489014

0.057303789 -0.312266632

0.069563239 -0.41167597

0.083588399 -0.505781656

0.099421884 -0.586524426

0.117054396 -0.645208317

0.136415346 -0.673149668

0.157365126 -0.662447664

0.179689839 -0.606814049

0.203099244 -0.502381679

0.227228529 -0.34840108

0.251644341 -0.147733799

0.275855243 0.092937357

0.299326439 0.363238106

0.321498297 0.649596392

0.341807853 0.936084229



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 1.205550388

0.37471238 1.440948634

0.386376486 1.626737232

0.394360216 1.750209947

0.398423793 1.802619634

0.398443914 1.779973442

0.394419966 1.683411915

0.386474058 1.519128864

0.374844865 1.297839219

0.359875719 1.033851627

0.34199778 0.743844874

0.32170943 0.445477024

0.299553264 0.155969854

0.276092166 -0.109192361

0.25188591 -0.337330344

0.227469632 -0.519316544

0.203335281 -0.649954356

0.17991684 -0.727985591

0.157579839 -0.755761305

0.136615273 -0.738642683

0.117237788 -0.684219343

0.099587708 -0.601440942

0.083736272 -0.499754577

0.069693339 -0.388327307

0.05741676 -0.275412862

0.046822635 -0.167897943

0.037795734 -0.071039596

0.030199481 0.011615977

0.023885038 0.078159224

0.018699163 0.1281243

0.014490659 0.162218563

0.011115369 0.182014969

0.008439746 0.189642843

0.006343145 0.187504898

0.004718997 0.178039423

0.003475077 0.163537765

0.002533081 0.146019402

0.001827693 0.127160838

0.001305351 0.108270353

0.000922829 0.090298428

0.00064578 0.073873047

0.00044732 0.059349788

0.000306705 0.046868121

0.000208159 0.036407269

0.000139842 0.027837065

9.29928E-05 0.020961078

6.12113E-05 0.015550878

3.98826E-05 0.011371466

2.5722E-05 0.008198702

1.64209E-05 0.005830012

1.03767E-05 0.004089807

6.49066E-06 0.002831038
4.01874E-06 0.00193414

2.46298E-06 0.001304396

1.49417E-06 0.000868527
Absolute values

0.000802563 4.05294E-05

0.001202996 0.000121503

0.001780097 0.00017979

0.002599798 0.00026258

0.00374683 0.00037843

0.005327442 0.000538072

0.00747125 0.000754596

0.010331476 0.001043479

0.014082607 0.001422343

0.018914338 0.001910348

0.025020518 0.002527072

0.032581862 0.003290768

0.041741382 0.00421588

0.052571968 0.005309769

0.065036358 0.006568672

0.078940889 0.00797303

0.093885901 0.009482476

0.109217453 0.011030963

0.123986835 0.01252267

0.136926081 0.013829534

0.146448917 0.014791341

0.150686918 0.015219379

0.147569751 0.014904545

0.134955868 0.013630543

0.110815686 0.011192384

0.073463216 0.007419785

0.021824508 0.002204275

0.044277009 0.004471978

0.123846402 0.012508487

0.214489014 0.02166339

0.312266632 0.03153893

0.41167597 0.041579273

0.505781656 0.051083947

0.586524426 0.059238967

0.645208317 0.06516604

0.673149668 0.067988116

0.662447664 0.066907214

0.606814049 0.061288219

0.502381679 0.05074055

0.34840108 0.035188509

0.147733799 0.014921114

0.092937357 0.009386673

0.363238106 0.036687049

0.649596392 0.065609236

0.936084229 0.094544507



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
1.205550388 0.121760589

1.440948634 0.145535812

1.626737232 0.16430046

1.750209947 0.176771205

1.802619634 0.182064583

1.779973442 0.179777318

1.683411915 0.170024603

1.519128864 0.153432015

1.297839219 0.131081761

1.033851627 0.104419014

0.743844874 0.075128332

0.445477024 0.044993179

0.155969854 0.015752955

0.109192361 0.011028428

0.337330344 0.034070365

0.519316544 0.052450971

0.649954356 0.06564539

0.727985591 0.073526545

0.755761305 0.076331892

0.738642683 0.074602911

0.684219343 0.069106154

0.601440942 0.060745535

0.499754577 0.050475212

0.388327307 0.039221058

0.275412862 0.027816699

0.167897943 0.016957692

0.071039596 0.007174999

0.011615977 0.001173214

0.078159224 0.007894082

0.1281243 0.012940554

0.162218563 0.016384075

0.182014969 0.018383512

0.189642843 0.019153927

0.187504898 0.018937995

0.178039423 0.017981982

0.163537765 0.016517314

0.146019402 0.01474796

0.127160838 0.012843245

0.108270353 0.010935306

0.090298428 0.009120141

0.073873047 0.007461178

0.059349788 0.005994329

0.046868121 0.00473368

0.036407269 0.003677134

0.027837065 0.002811544

0.020961078 0.002117069

0.015550878 0.001570639

0.011371466 0.001148518

0.008198702 0.000828069

0.005830012 0.000588831

0.004089807 0.00041307

0.002831038 0.000285935
0.00193414 0.000195348

0.001304396 0.000131744

0.000868527 4.38606E-05
Cumulative normalization

4.05294E-05 1.16247E-05

0.000162032 4.64743E-05

0.000341822 9.80419E-05

0.000604401 0.000173355

0.000982831 0.000281897

0.001520903 0.000436228

0.002275499 0.000652662

0.003318978 0.000951955

0.004741322 0.001359914

0.00665167 0.001907843

0.009178742 0.002632662

0.01246951 0.003576526

0.01668539 0.004785731

0.021995158 0.006308688

0.02856383 0.008192726

0.03653686 0.010479563

0.046019336 0.013199343

0.057050299 0.016363262

0.069572969 0.019955035

0.083402504 0.023921646

0.098193844 0.028164123

0.113413223 0.03252937

0.128317768 0.036804317

0.14194831 0.040713852

0.153140695 0.04392407

0.16056048 0.046052225

0.162764755 0.046684459

0.167236733 0.047967119

0.179745219 0.051554824

0.20140861 0.057768354

0.23294754 0.066814403

0.274526813 0.07874024

0.32561076 0.093392223

0.384849727 0.110383242

0.450015767 0.129074275

0.518003883 0.14857474

0.584911097 0.167765179

0.646199316 0.185343969

0.696939866 0.199897458

0.732128375 0.209990285

0.747049489 0.214269984

0.756436162 0.216962285

0.79312321 0.227484926

0.858732446 0.246303076

0.953276953 0.27342049

2 ( ) ( )

i

f x f b



  



 
1.075037542 0.308344066

1.220573354 0.350086891

1.384873815 0.397211824

1.561645019 0.447913636

1.743709603 0.500133705

1.92348692 0.551697736

2.093511524 0.600464477

2.246943539 0.644472104

2.3780253 0.682069194

2.482444314 0.71201883

2.557572646 0.733567264

2.602565826 0.746472283

2.618318781 0.750990572

2.62934721 0.754153764

2.663417574 0.763925883

2.715868545 0.778969959

2.781513935 0.797798479

2.85504048 0.818887486

2.931372372 0.840781127

3.005975283 0.862178858

3.075081436 0.882000001

3.135826972 0.899423137

3.186302184 0.913900522

3.225523242 0.925149971

3.253339941 0.933128403

3.270297633 0.937992237

3.277472632 0.940050182

3.278645846 0.940386685

3.286539928 0.942650879

3.299480482 0.94636251

3.315864557 0.951061818

3.334248069 0.956334608

3.353401996 0.961828369

3.37233999 0.967260197

3.390321972 0.972417819

3.406839287 0.977155342

3.421587246 0.981385377

3.434430491 0.985069098

3.445365796 0.98820558

3.454485938 0.990821435

3.461947115 0.992961462

3.467941444 0.994680765

3.472675124 0.996038487

3.476352258 0.997093169

3.479163802 0.997899581

3.481280871 0.998506802

3.482851509 0.998957295

3.484000028 0.999286715

3.484828096 0.999524223

3.485416928 0.999693113

3.485829998 0.99981159

3.486115933 0.999893603
3.486311281 0.999949633

3.486443025 0.99998742

3.486486886 1

174.7598791
Appendix E-4k (i): Wet Biomass Stoker/Sloped Grate/Other Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Yes Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Yes Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly

YES Yes Wet BiomassStoker/SlopedGrate/Other no 1 GAGPMadisonPly
UnitID Data Source Source Tab Pollutant

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2004 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2004 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2004 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2006 Test 1 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2006 Test 1 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2006 Test 1 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2006 Test 2 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2006 Test 2 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2006 Test 2 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2007 Test 1 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2007 Test 1 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2007 Test 1 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2007 Test 2 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2007 Test 2 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2007 Test 2 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2007 Test 3 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2007 Test 3 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2007 Test 3 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2009 Test 1 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2009 Test 1 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2009 Test 1 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2009 Test 2 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2009 Test 2 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - Comments Additional PM from Comments - 2009 Test 2 Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - ERT ERT Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - ERT ERT Particulate Matter (PM) filterab

800 Wood Waste Boiler ICR Phase II - ERT ERT Particulate Matter (PM) filterab
Data 

Type Run Number Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

ET Sample #1 10/14/2004 0.002717645 -5.907989677 0

ET Sample #2 10/14/2004 0.003353295 -5.697811851 0

ET Sample #3 10/14/2004 0.002036758 -6.19639584 0

ET Sample #1 6/15/2006 0.003 -5.80914299 0

ET Sample #2 6/15/2006 0.004 -5.521460918 0

ET Sample #3 6/15/2006 0.003 -5.80914299 0

ET Sample #1 6/16/2006 0.008 -4.828313737 0

ET Sample #2 6/16/2006 0.002 -6.214608098 0

ET Sample #3 6/16/2006 0.003 -5.80914299 0

ET Sample #1 9/18/2007 0.012 -4.422848629 0

ET Sample #2 9/18/2007 0.019 -3.9633163 0

ET Sample #3 9/18/2007 0.024 -3.729701449 0

ET Sample #1 9/18/2007 0.022 -3.816712826 0

ET Sample #2 9/18/2007 0.007 -4.96184513 0

ET Sample #3 9/18/2007 0.016 -4.135166557 0

ET Sample #1 9/19/2007 0.013 -4.342805922 0

ET Sample #2 9/19/2007 0.01 -4.605170186 0

ET Sample #3 9/19/2007 0.008 -4.828313737 0

ET Sample #1 8/27/2009 0.01 -4.605170186 0

ET Sample #2 8/27/2009 0.009 -4.710530702 0

ET Sample #3 8/27/2009 0.009 -4.710530702 0

ET Sample #1 8/27/2009 0.014 -4.268697949 0

ET Sample #2 8/27/2009 0.016 -4.135166557 0

ET Sample #3 8/27/2009 0.03 -3.506557897 0

ET 1 8/11/2009 0.002321662 -6.065471897 0

ET 2 8/12/2009 0.000434922 -7.740344691 0

ET 3 8/12/2009 0.00117209 -6.74896715 0
Appendix E-4k (ii): Wet Biomass Stoker/Slop

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

YES

YES

Number of sources with 

test data 1 YES

n 27 YES

n-1 26 YES

YES

Average of natural log of 

test run values (μ) -5.077456576

Variance of natural log of 

test runs (σ2) 1.063464128

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 141.1393906

Denominator for 

calculation of flatness of z 

distribution (β2z) 10.78885195

Flatness of z distribution 

(β2z) 15.08196565

Skewness of z distribution 

(√β1z) 3.892948076
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990267021 0.999290874 0.995919232

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.010612481

exp (2μ + σ2) 0.000112625

exp (σ2) - 1 1.896387087

(σ2/n) + [σ4/(2(n - 1))] 0.061136713

Square root term 0.026508677

Confidence Level 99% 99.9% 99.5%

UPL 4.14E-02 4.85E-02 4.41E-02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.02E+00 -6.26E-01

SE Skewness 0.47 0.47

Skewness Test non-normal normal

Kurtosis = 5.13E-01 4.30E-02

SE Kurtosis 0.94 0.94

Kurtosis Test normal normal

Number of test runs = 27 27
ndix E-4k (ii): Wet Biomass Stoker/Sloped Grate/Other Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Stoker/SlopedGrate/Other Wet Biomass 1 GAGPMadisonPly 800 Wood Waste BoilerICR Phase II - ERT ERT

Stoker/SlopedGrate/Other Wet Biomass 1 GAGPMadisonPly 800 Wood Waste BoilerICR Phase II - Comments Additional PM from Comments - 2004

Stoker/SlopedGrate/Other Wet Biomass 1 GAGPMadisonPly 800 Wood Waste BoilerICR Phase II - Comments Additional PM from Comments - 2006 T

Stoker/SlopedGrate/Other Wet Biomass 1 GAGPMadisonPly 800 Wood Waste BoilerICR Phase II - Comments Additional PM from Comments - 2006 T

Stoker/SlopedGrate/Other Wet Biomass 1 GAGPMadisonPly 800 Wood Waste BoilerICR Phase II - Comments Additional PM from Comments - 2009 T

Stoker/SlopedGrate/Other Wet Biomass 1 GAGPMadisonPly 800 Wood Waste BoilerICR Phase II - Comments Additional PM from Comments - 2007 T

Stoker/SlopedGrate/Other Wet Biomass 1 GAGPMadisonPly 800 Wood Waste BoilerICR Phase II - Comments Additional PM from Comments - 2007 T

Stoker/SlopedGrate/Other Wet Biomass 1 GAGPMadisonPly 800 Wood Waste BoilerICR Phase II - Comments Additional PM from Comments - 2007 T

Stoker/SlopedGrate/Other Wet Biomass 1 GAGPMadisonPly 800 Wood Waste BoilerICR Phase II - Comments Additional PM from Comments - 2009 T

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.001309558 -6.638065757 3 2 ET Wood: Bark

Particulate Matter (PM) filterable 0.002702566 -5.913553597 3 2 ET Wood: Bark

Particulate Matter (PM) filterable 0.003333333 -5.703782475 3 2 ET Wood: Bark

Particulate Matter (PM) filterable 0.004333333 -5.44141821 3 2 ET Wood: Bark

Particulate Matter (PM) filterable 0.009333333 -4.674163057 3 2 ET Wood: Bark

Particulate Matter (PM) filterable 0.010333333 -4.572380363 3 2 ET Wood: Bark

Particulate Matter (PM) filterable 0.015 -4.199705078 3 2 ET Wood: Bark

Particulate Matter (PM) filterable 0.018333333 -3.999034382 3 2 ET Wood: Bark

Particulate Matter (PM) filterable 0.02 -3.912023005 3 2 ET Wood: Bark
Appendix E-4k (iii): Wet Biomass Stoker/Sloped Grate/Other Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 15.081966 3.8929481

6.5935E-06 -5 =f(a) 170.26177

2.61595E-05 1 -4.899 153.2388

5.47956E-05 2 -4.798 137.43876

9.61257E-05 3 -4.697 122.8053

0.000154931 4 -4.596 109.28333

0.000237384 5 -4.495 96.819018

0.000351264 6 -4.394 85.359801

0.000506123 7 -4.293 74.85436

0.000713333 8 -4.192 65.252639

0.000985958 9 -4.091 56.505837

0.001338361 10 -3.99 48.566412

0.001785436 11 -3.889 41.388078

0.00234137 12 -3.788 34.925808

0.003017834 13 -3.687 29.135829

0.00382154 14 -3.586 23.975629

0.004751144 15 -3.485 19.40395

0.00579355 16 -3.384 15.380794

0.006919797 17 -3.283 11.867419

0.008080839 18 -3.182 8.8263403

0.009203658 19 -3.081 6.2213297

0.010188355 20 -2.98 4.0174175

0.010906957 21 -2.879 2.1808907

0.011204795 22 -2.778 0.6792936

0.011504277 23 -2.677 -0.518572

0.012590527 24 -2.576 -1.442648

0.014652175 25 -2.475 -2.121617

0.017858473 26 -2.374 -2.582907

0.022336292 27 -2.273 -2.852687

0.028143733 28 -2.172 -2.955869

0.035242128 29 -2.071 -2.916108

0.043468932 30 -1.97 -2.755802

0.052514586 31 -1.869 -2.49609

0.061906784 32 -1.768 -2.156857

0.07100563 33 -1.667 -1.756728

0.079012742 34 -1.566 -1.313071

0.084996509 35 -1.465 -0.841999

0.087934386 36 -1.364 -0.358365

0.089097347 37 -1.263 0.1242344

0.095376467 38 -1.162 0.5934588

0.107666547 39 -1.061 1.0382262

0.126658469 40 -0.96 1.4487113

0.152760831 41 -0.859 1.8163465

0.186034671 42 -0.758 2.1338209

0.226148936 43 -0.657 2.3950814

0.272363068 44 -0.556 2.5953318

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.323540917 45 -0.455 2.7310333

0.378197326 46 -0.354 2.7999042

0.434575541 47 -0.253 2.8009203

0.490750329 48 -0.152 2.7343145

0.544748843 49 -0.051 2.6015769

0.59467916 50 0.05 2.405455

0.638855307 51 0.151 2.1499535

0.675907757 52 0.252 1.8403343

0.704869635 53 0.353 1.4831165

0.725231283 54 0.454 1.0860767

0.73695899 55 0.555 0.6582486

0.740477216 56 0.656 0.209923

0.74433723 57 0.757 -0.247352

0.754416512 58 0.858 -0.70077

0.76932677 59 0.959 -1.13627

0.787558561 60 1.06 -1.53853

0.807589361 61 1.161 -1.890975

0.827982512 62 1.262 -2.175768

0.847469657 63 1.363 -2.373819

0.865011579 64 1.464 -2.464779

0.879834873 65 1.565 -2.427042

0.891444434 66 1.666 -2.237743

0.899613945 67 1.767 -1.872762

0.904358267 68 1.868 -1.306721

0.905892685 69 1.969 -0.512986

0.907200945 70 2.07 0.5363379

0.910883735 71 2.171 1.8703988

0.916420973 72 2.272 3.5196042

0.923284068 73 2.373 5.5156182

0.930971371 74 2.474 7.8913626

0.939034444 75 2.575 10.681016

0.947094971 76 2.676 13.920014

0.954853014 77 2.777 17.645051

0.962087892 78 2.878 21.894077

0.968653323 79 2.979 26.706299

0.974468587 80 3.08 32.122184

0.979507352 81 3.181 38.183452

0.983785635 82 3.282 44.933084

0.987350027 83 3.383 52.415317

0.990267021 84 3.484 60.675644

0.99261393 85 3.585 69.760816

0.994471645 86 3.686 79.718844

0.995919232 87 3.787 90.598991

0.997030231 88 3.888 102.45178

0.997870417 89 3.989 115.329

0.998496732 90 4.09 129.28367

0.998957103 91 4.191 144.37011

0.999290874 92 4.292 160.64385

0.99952961 93 4.393 178.1617

0.999698119 94 4.494 196.98175

0.999815513 95 4.595 217.1633

0.999896248 96 4.696 238.76694
0.999951069 97 4.797 261.8545

0.999987828 98 4.898 286.48909 1 99 4.999 312.73506
distribution of Z

Normal 

distribution

1.48672E-06 0.000253131

2.45094E-06 0.000375579

3.9995E-06 0.000549687

6.46025E-06 0.000793353

1.03291E-05 0.001128797

1.63472E-05 0.001582724

2.56093E-05 0.002186001

3.97118E-05 0.002972599

6.09553E-05 0.003977491

9.26132E-05 0.005233186

0.000139285 0.006764572

0.000207351 0.008581847

0.000305546 0.010671437

0.000445674 0.012985079

0.000643469 0.015427577

0.000919619 0.017844243

0.001300942 0.020009524

0.001821704 0.021618924

0.002525035 0.022286814

0.003464389 0.021553105

0.004704958 0.018901779

0.006324913 0.013793943

0.008416337 0.005717164

0.011085658 -0.005748714

0.014453386 -0.020851147

0.018652949 -0.03957442

0.023828414 -0.061546587

0.030130931 -0.085954122

0.03771375 -0.111476911

0.046725789 -0.136257454

0.057303789 -0.157917877

0.069563239 -0.173636121

0.083588399 -0.180288223

0.099421884 -0.174657186

0.117054396 -0.153700767

0.136415346 -0.11486157

0.157365126 -0.056394104

0.179689839 0.022323665

0.203099244 0.120531042

0.227228529 0.235914609

0.251644341 0.364560012

0.275855243 0.501048694

0.299326439 0.638709022

0.321498297 0.770014597

0.341807853 0.887104794



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 0.982385967

0.37471238 1.049158777

0.386376486 1.082209752

0.394360216 1.078304857

0.398423793 1.036530146

0.398443914 0.958438916

0.394419966 0.847984584

0.386474058 0.71124145

0.374844865 0.555938613

0.359875719 0.390852643

0.34199778 0.225119552

0.32170943 0.067534216

0.299553264 -0.074095017

0.276092166 -0.193477163

0.25188591 -0.286210324

0.227469632 -0.349968903

0.203335281 -0.384501842

0.17991684 -0.391457345

0.157579839 -0.374066095

0.136615273 -0.336726507

0.117237788 -0.284540991

0.099587708 -0.222851671

0.083736272 -0.156818107

0.069693339 -0.091069772

0.05741676 -0.029453967

0.046822635 0.025112756

0.037795734 0.070693097

0.030199481 0.10629022

0.023885038 0.131740752

0.018699163 0.147561872

0.014490659 0.154774961

0.011115369 0.154726096

0.008439746 0.148919755

0.006343145 0.138877311

0.004718997 0.126026943

0.003475077 0.111627074

0.002533081 0.096721767

0.001827693 0.082123902

0.001305351 0.068420405

0.000922829 0.055993248

0.00064578 0.045050169

0.00044732 0.035659826

0.000306705 0.027787196

0.000208159 0.021326214

0.000139842 0.01612781

9.29928E-05 0.01202245

6.12113E-05 0.008837079

3.98826E-05 0.006406894

2.5722E-05 0.004582679

1.64209E-05 0.003234615

1.03767E-05 0.002253431

6.49066E-06 0.001549755
4.01874E-06 0.001052324

2.46298E-06 0.000705616

1.49417E-06 0.00046728
Absolute values

0.000253131 1.27831E-05

0.000375579 3.79335E-05

0.000549687 5.55184E-05

0.000793353 8.01286E-05

0.001128797 0.000114009

0.001582724 0.000159855

0.002186001 0.000220786

0.002972599 0.000300232

0.003977491 0.000401727

0.005233186 0.000528552

0.006764572 0.000683222

0.008581847 0.000866767

0.010671437 0.001077815

0.012985079 0.001311493

0.015427577 0.001558185

0.017844243 0.001802269

0.020009524 0.002020962

0.021618924 0.002183511

0.022286814 0.002250968

0.021553105 0.002176864

0.018901779 0.00190908

0.013793943 0.001393188

0.005717164 0.000577434

0.005748714 0.00058062

0.020851147 0.002105966

0.03957442 0.003997016

0.061546587 0.006216205

0.085954122 0.008681366

0.111476911 0.011259168

0.136257454 0.013762003

0.157917877 0.015949706

0.173636121 0.017537248

0.180288223 0.018209111

0.174657186 0.017640376

0.153700767 0.015523778

0.11486157 0.011601019

0.056394104 0.005695804

0.022323665 0.00225469

0.120531042 0.012173635

0.235914609 0.023827375

0.364560012 0.036820561

0.501048694 0.050605918

0.638709022 0.064509611

0.770014597 0.077771474

0.887104794 0.089597584



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
0.982385967 0.099220983

1.049158777 0.105965036

1.082209752 0.109303185

1.078304857 0.108908791

1.036530146 0.104689545

0.958438916 0.09680233

0.847984584 0.085646443

0.71124145 0.071835386

0.555938613 0.0561498

0.390852643 0.039476117

0.225119552 0.022737075

0.067534216 0.006820956

0.074095017 0.007483597

0.193477163 0.019541193

0.286210324 0.028907243

0.349968903 0.035346859

0.384501842 0.038834686

0.391457345 0.039537192

0.374066095 0.037780676

0.336726507 0.034009377

0.284540991 0.02873864

0.222851671 0.022508019

0.156818107 0.015838629

0.091069772 0.009198047

0.029453967 0.002974851

0.025112756 0.002536388

0.070693097 0.007140003

0.10629022 0.010735312

0.131740752 0.013305816

0.147561872 0.014903749

0.154774961 0.015632271

0.154726096 0.015627336

0.148919755 0.015040895

0.138877311 0.014026608

0.126026943 0.012728721

0.111627074 0.011274334

0.096721767 0.009768898

0.082123902 0.008294514

0.068420405 0.006910461

0.055993248 0.005655318

0.045050169 0.004550067

0.035659826 0.003601642

0.027787196 0.002806507

0.021326214 0.002153948

0.01612781 0.001628909

0.01202245 0.001214267

0.008837079 0.000892545

0.006406894 0.000647096

0.004582679 0.000462851

0.003234615 0.000326696

0.002253431 0.000227597

0.001549755 0.000156525
0.001052324 0.000106285

0.000705616 7.12672E-05

0.00046728 2.35976E-05
Cumulative normalization

1.27831E-05 6.5935E-06

5.07166E-05 2.61595E-05

0.000106235 5.47956E-05

0.000186364 9.61257E-05

0.000300372 0.000154931

0.000460227 0.000237384

0.000681013 0.000351264

0.000981246 0.000506123

0.001382972 0.000713333

0.001911524 0.000985958

0.002594746 0.001338361

0.003461512 0.001785436

0.004539328 0.00234137

0.005850821 0.003017834

0.007409006 0.00382154

0.009211274 0.004751144

0.011232236 0.00579355

0.013415748 0.006919797

0.015666716 0.008080839

0.017843579 0.009203658

0.019752659 0.010188355

0.021145847 0.010906957

0.021723281 0.011204795

0.022303901 0.011504277

0.024409867 0.012590527

0.028406883 0.014652175

0.034623089 0.017858473

0.043304455 0.022336292

0.054563623 0.028143733

0.068325626 0.035242128

0.084275331 0.043468932

0.10181258 0.052514586

0.12002169 0.061906784

0.137662066 0.07100563

0.153185843 0.079012742

0.164786862 0.084996509

0.170482667 0.087934386

0.172737357 0.089097347

0.184910992 0.095376467

0.208738367 0.107666547

0.245558929 0.126658469

0.296164847 0.152760831

0.360674458 0.186034671

0.438445932 0.226148936

0.528043516 0.272363068

2 ( ) ( )

i

f x f b



  



 
0.627264499 0.323540917

0.733229536 0.378197326

0.842532721 0.434575541

0.951441511 0.490750329

1.056131056 0.544748843

1.152933386 0.59467916

1.238579829 0.638855307

1.310415216 0.675907757

1.366565016 0.704869635

1.406041133 0.725231283

1.428778207 0.73695899

1.435599163 0.740477216

1.44308276 0.74433723

1.462623953 0.754416512

1.491531196 0.76932677

1.526878055 0.787558561

1.565712741 0.807589361

1.605249933 0.827982512

1.643030609 0.847469657

1.677039986 0.865011579

1.705778626 0.879834873

1.728286645 0.891444434

1.744125274 0.899613945

1.753323321 0.904358267

1.756298171 0.905892685

1.75883456 0.907200945

1.765974562 0.910883735

1.776709875 0.916420973

1.79001569 0.923284068

1.80491944 0.930971371

1.820551711 0.939034444

1.836179046 0.947094971

1.851219942 0.954853014

1.86524655 0.962087892

1.877975271 0.968653323

1.889249606 0.974468587

1.899018504 0.979507352

1.907313018 0.983785635

1.914223479 0.987350027

1.919878797 0.990267021

1.924428864 0.99261393

1.928030507 0.994471645

1.930837014 0.995919232

1.932990961 0.997030231

1.93461987 0.997870417

1.935834137 0.998496732

1.936726682 0.998957103

1.937373779 0.999290874

1.937836629 0.99952961

1.938163325 0.999698119

1.938390922 0.999815513

1.938547447 0.999896248
1.938653732 0.999951069

1.938724999 0.999987828

1.938748597 1

95.16304915
Appendix E-4l (i): Wet Biomass Stoker/Sloped Grate/Other TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Wet BiomassStoker/SlopedGrate/Other No 2 IDPotlatch

YES Yes Wet BiomassStoker/SlopedGrate/Other No 2 IDPotlatch

YES Yes Wet BiomassStoker/SlopedGrate/Other No 2 IDPotlatch
UnitID Data Source Source Tab Pollutant

PB-2 Riley ICR Phase I PM and Metals (5) TSM8

PB-2 Riley ICR Phase I PM and Metals (5) TSM8

PB-2 Riley ICR Phase I PM and Metals (5) TSM8
Data 

Type Run Number Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

ET Sample #1 7/27/2006 0.00001825 -10.91134548 0

ET Sample #2 7/27/2006 0.000010218 -11.49135969 0

ET Sample #3 7/27/2006 0.000012341 -11.30258351 0
Appendix E-4l (ii): Wet Biomass Stoker/Slope

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -11.23509622

Variance of natural log of 

test runs (σ2) 0.087520021

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 4.593572068

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.025097054

Flatness of z distribution 

(β2z) 185.0323252

Skewness of z distribution 

(√β1z) 0.539795119
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990810664 0.999275359 0.996006494

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 1.37932E-05

exp (2μ + σ2) 1.90252E-10

exp (σ2) - 1 0.091464116

(σ2/n) + [σ4/(2(n - 1))] 0.031088279

Square root term 1.02682E-05

Confidence Level 99% 99.9% 99.5%

UPL 2.57E-05 2.85E-05 2.68E-05

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.24E+00 9.73E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-4l (ii): Wet Biomass Stoker/Sloped Grate/Other TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Stoker/SlopedGrate/Other Wet Biomass 2 IDPotlatch PB-2 Riley ICR Phase I PM and Metals (5)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 0.000013603 -11.2052202 3 2 ET /Hog Fuel/
Appendix E-4l (iii): Wet Biomass Stoker/Sloped Grate/Other Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 185.03233 0.5397951

1.27287E-05 -5 =f(a) 3616.5809

5.09202E-05 1 -4.899 3291.1442

0.000107483 2 -4.798 2987.0369

0.000190171 3 -4.697 2703.35

0.000309458 4 -4.596 2439.1938

0.000479247 5 -4.495 2193.6973

0.000717626 6 -4.394 1966.0088

0.001047658 7 -4.293 1755.295

0.00149809 8 -4.192 1560.7421

0.002103888 9 -4.091 1381.5548

0.002906428 10 -3.99 1216.957

0.003953141 11 -3.889 1066.1915

0.005296384 12 -3.788 928.51997

0.006991269 13 -3.687 803.22304

0.009092201 14 -3.586 689.60034

0.011647908 15 -3.485 586.9704

0.014694828 16 -3.384 494.6707

0.01824887 17 -3.283 412.05765

0.02229576 18 -3.182 338.50663

0.026780435 19 -3.081 273.41195

0.031596273 20 -2.98 216.18684

0.03657523 21 -2.879 166.26351

0.041480282 22 -2.778 123.09308

0.046001773 23 -2.677 86.14564

0.049759365 24 -2.576 54.9102

0.052311201 25 -2.475 28.894723

0.053171571 26 -2.374 7.6261131

0.054505403 27 -2.273 -9.349785

0.058517344 28 -2.172 -22.46818

0.065628851 29 -2.071 -32.14535

0.076149982 30 -1.97 -38.77861

0.090228785 31 -1.869 -42.74635

0.107803741 32 -1.768 -44.40802

0.128564722 33 -1.667 -44.10411

0.151928109 34 -1.566 -42.15617

0.177031323 35 -1.465 -38.86684

0.202750869 36 -1.364 -34.51977

0.227746142 37 -1.263 -29.37971

0.25052882 38 -1.162 -23.69243

0.26955491 39 -1.061 -17.68479

0.283333591 40 -0.96 -11.56468

0.290544524 41 -0.859 -5.521071

0.290935699 42 -0.758 0.2760193

0.299574847 43 -0.657 5.675516

0.316640669 44 -0.556 10.545285

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.341799199 45 -0.455 14.772134

0.374197991 46 -0.354 18.261813

0.412502848 47 -0.253 20.939017

0.454975691 48 -0.152 22.747379

0.499587897 49 -0.051 23.649478

0.544159639 50 0.05 23.626834

0.586512922 51 0.151 22.679909

0.62462451 52 0.252 20.828108

0.656764931 53 0.353 18.109778

0.681611288 54 0.454 14.582208

0.698324445 55 0.555 10.321631

0.706584973 56 0.656 5.4232195

0.706586521 57 0.757 0.0010911

0.71418355 58 0.858 -5.811695

0.728331398 59 0.959 -11.86314

0.74769809 60 1.06 -17.9823

0.770783402 61 1.161 -23.97928

0.796036463 62 1.262 -29.64526

0.821964718 63 1.363 -34.75248

0.847225914 64 1.464 -39.0542

0.870697298 65 1.565 -42.28479

0.891519093 66 1.666 -44.15964

0.909112136 67 1.767 -44.37522

0.923171956 68 1.868 -42.60903

0.933643433 69 1.969 -38.51966

0.940681311 70 2.07 -31.74673

0.944602257 71 2.171 -21.91094

0.945833924 72 2.272 -8.614045

0.946802081 73 2.373 8.5611619

0.949462593 74 2.474 30.050813

0.953325911 75 2.575 56.309988

0.957947253 76 2.676 87.812707

0.962944222 77 2.777 125.05193

0.968005888 78 2.878 168.53958

0.972894625 79 2.979 218.80648

0.97744234 80 3.08 276.40244

0.981542777 81 3.181 341.89618

0.985141542 82 3.282 415.87539

0.988225216 83 3.383 498.94667

0.990810664 84 3.484 591.7356

0.992935306 85 3.585 694.88666

0.994648819 86 3.686 809.06332

0.996006494 87 3.787 934.94794

0.997064233 88 3.888 1073.2419

0.997875085 89 3.989 1224.6654

0.998487065 90 4.09 1389.9577

0.998942037 91 4.191 1569.8769

0.999275359 92 4.292 1765.2002

0.999516093 93 4.393 1976.7236

0.999687546 94 4.494 2205.262

0.999807995 95 4.595 2451.6495

0.999891482 96 4.696 2716.7388
0.999948591 97 4.797 3001.4018

0.999987149 98 4.898 3306.5292 1 99 4.999 3633.0307
distribution of Z

Normal 

distribution

1.48672E-06 0.005376841

2.45094E-06 0.008066396

3.9995E-06 0.011946662

6.46025E-06 0.017464308

1.03291E-05 0.025194648

1.63472E-05 0.035860913

2.56093E-05 0.050348031

3.97118E-05 0.069705866

6.09553E-05 0.095135428

9.26132E-05 0.127950193

0.000139285 0.169503832

0.000207351 0.221075548

0.000305546 0.283705472

0.000445674 0.357975549

0.000643469 0.44373652

0.000919619 0.539789172

0.001300942 0.643537968

0.001821704 0.750647014

0.002525035 0.854740946

0.003464389 0.947205306

0.004704958 1.017149905

0.006324913 1.05160219

0.008416337 1.035992915

0.011085658 0.95498115

0.014453386 0.793638345

0.018652949 0.538971793

0.023828414 0.181718181

0.030130931 -0.281717713

0.03771375 -0.84735938

0.046725789 -1.502016727

0.057303789 -2.222161224

0.069563239 -2.97357463

0.083588399 -3.711995023

0.099421884 -4.384913194

0.117054396 -4.934565493

0.136415346 -5.302033362

0.157365126 -5.432208563

0.179689839 -5.279235

0.203099244 -4.811914644

0.227228529 -4.018487917

0.251644341 -2.910186127

0.275855243 -1.523016477

0.299326439 0.082619865

0.321498297 1.824668719

0.341807853 3.604461104



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 5.313716534

0.37471238 6.842927491

0.386376486 8.090343655

0.394360216 8.970661335

0.398423793 9.422514846

0.398443914 9.413968305

0.394419966 8.94540905

0.386474058 8.04952349

0.374844865 6.78835729

0.359875719 5.247782676

0.34199778 3.529974781

0.32170943 1.744700843

0.299553264 0.000326852

0.276092166 -1.60456359

0.25188591 -2.988157578

0.227469632 -4.09042629

0.203335281 -4.875833763

0.17991684 -5.333682296

0.157579839 -5.476289679

0.136615273 -5.335400775

0.117237788 -4.957375499

0.099587708 -4.397757601

0.083736272 -3.715815109

0.069693339 -2.969565412

0.05741676 -2.211673803

0.046822635 -1.4864656

0.037795734 -0.828140247

0.030199481 -0.260139699

0.023885038 0.204483679

0.018699163 0.561925047

0.014490659 0.815968843

0.011115369 0.976070644

0.008439746 1.055406598

0.006343145 1.069071015

0.004718997 1.03254709

0.003475077 0.960519857

0.002533081 0.866050631

0.001827693 0.760092707

0.001305351 0.651300716

0.000922829 0.546070808

0.00064578 0.448744194

0.00044732 0.361910131

0.000306705 0.286753539

0.000208159 0.223404467

0.000139842 0.171259367

9.29928E-05 0.129256051

6.12113E-05 0.09609418

3.98826E-05 0.070400766

2.5722E-05 0.050845328

1.64209E-05 0.036212355

1.03767E-05 0.025439945

6.49066E-06 0.017633424
4.01874E-06 0.012061843

2.46298E-06 0.008143899

1.49417E-06 0.005428369
Absolute values

0.005376841 0.00027153

0.008066396 0.000814706

0.011946662 0.001206613

0.017464308 0.001763895

0.025194648 0.002544659

0.035860913 0.003621952

0.050348031 0.005085151

0.069705866 0.007040293

0.095135428 0.009608678

0.127950193 0.012922969

0.169503832 0.017119887

0.221075548 0.02232863

0.283705472 0.028654253

0.357975549 0.03615553

0.44373652 0.044817389

0.539789172 0.054518706

0.643537968 0.064997335

0.750647014 0.075815348

0.854740946 0.086328836

0.947205306 0.095667736

1.017149905 0.10273214

1.05160219 0.106211821

1.035992915 0.104635284

0.95498115 0.096453096

0.793638345 0.080157473

0.538971793 0.054436151

0.181718181 0.018353536

0.281717713 0.028453489

0.84735938 0.085583297

1.502016727 0.151703689

2.222161224 0.224438284

2.97357463 0.300331038

3.711995023 0.374911497

4.384913194 0.442876233

4.934565493 0.498391115

5.302033362 0.53550537

5.432208563 0.548653065

5.279235 0.533202735

4.811914644 0.486003379

4.018487917 0.40586728

2.910186127 0.293928799

1.523016477 0.153824664

0.082619865 0.008344606

1.824668719 0.184291541

3.604461104 0.364050572



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
5.313716534 0.53668537

6.842927491 0.691135677

8.090343655 0.817124709

8.970661335 0.906036795

9.422514846 0.951673999

9.413968305 0.950810799

8.94540905 0.903486314

8.04952349 0.813001873

6.78835729 0.685624086

5.247782676 0.53002605

3.529974781 0.356527453

1.744700843 0.176214785

0.000326852 3.3012E-05

1.60456359 0.162060923

2.988157578 0.301803915

4.09042629 0.413133055

4.875833763 0.49245921

5.333682296 0.538701912

5.476289679 0.553105258

5.335400775 0.538875478

4.957375499 0.500694925

4.397757601 0.444173518

3.715815109 0.375297326

2.969565412 0.299926107

2.211673803 0.223379054

1.4864656 0.150133026

0.828140247 0.083642165

0.260139699 0.02627411

0.204483679 0.020652852

0.561925047 0.05675443

0.815968843 0.082412853

0.976070644 0.098583135

1.055406598 0.106596066

1.069071015 0.107976173

1.03254709 0.104287256

0.960519857 0.097012506

0.866050631 0.087471114

0.760092707 0.076769363

0.651300716 0.065781372

0.546070808 0.055153152

0.448744194 0.045323164

0.361910131 0.036552923

0.286753539 0.028962107

0.223404467 0.022563851

0.171259367 0.017297196

0.129256051 0.013054861

0.09609418 0.009705512

0.070400766 0.007110477

0.050845328 0.005135378

0.036212355 0.003657448

0.025439945 0.002569434

0.017633424 0.001780976
0.012061843 0.001218246

0.008143899 0.000822534

0.005428369 0.000274133
Cumulative normalization

0.00027153 1.27287E-05

0.001086237 5.09202E-05

0.002292849 0.000107483

0.004056744 0.000190171

0.006601404 0.000309458

0.010223356 0.000479247

0.015308507 0.000717626

0.0223488 0.001047658

0.031957478 0.00149809

0.044880447 0.002103888

0.062000334 0.002906428

0.084328965 0.003953141

0.112983217 0.005296384

0.149138748 0.006991269

0.193956137 0.009092201

0.248474843 0.011647908

0.313472178 0.014694828

0.389287526 0.01824887

0.475616362 0.02229576

0.571284098 0.026780435

0.674016238 0.031596273

0.780228059 0.03657523

0.884863344 0.041480282

0.98131644 0.046001773

1.061473912 0.049759365

1.115910064 0.052311201

1.1342636 0.053171571

1.162717089 0.054505403

1.248300386 0.058517344

1.400004076 0.065628851

1.624442359 0.076149982

1.924773397 0.090228785

2.299684894 0.107803741

2.742561127 0.128564722

3.240952242 0.151928109

3.776457611 0.177031323

4.325110676 0.202750869

4.858313411 0.227746142

5.34431679 0.25052882

5.75018407 0.26955491

6.044112869 0.283333591

6.197937533 0.290544524

6.206282139 0.290935699

6.39057368 0.299574847

6.754624251 0.316640669

2 ( ) ( )

i

f x f b



  



 
7.291309621 0.341799199

7.982445298 0.374197991

8.799570007 0.412502848

9.705606802 0.454975691

10.6572808 0.499587897

11.6080916 0.544159639

12.51157791 0.586512922

13.32457979 0.62462451

14.01020387 0.656764931

14.54022992 0.681611288

14.89675738 0.698324445

15.07297216 0.706584973

15.07300517 0.706586521

15.2350661 0.71418355

15.53687001 0.728331398

15.95000307 0.74769809

16.44246228 0.770783402

16.98116419 0.796036463

17.53426945 0.821964718

18.07314492 0.847225914

18.57383985 0.870697298

19.01801337 0.891519093

19.39331069 0.909112136

19.6932368 0.923171956

19.91661585 0.933643433

20.06674888 0.940681311

20.15039104 0.944602257

20.17666515 0.945833924

20.19731801 0.946802081

20.25407244 0.949462593

20.33648529 0.953325911

20.43506842 0.957947253

20.54166449 0.962944222

20.64964066 0.968005888

20.75392792 0.972894625

20.85094042 0.97744234

20.93841154 0.981542777

21.0151809 0.985141542

21.08096227 0.988225216

21.13611543 0.990810664

21.18143859 0.992935306

21.21799151 0.994648819

21.24695362 0.996006494

21.26951747 0.997064233

21.28681467 0.997875085

21.29986953 0.998487065

21.30957504 0.998942037

21.31668552 0.999275359

21.3218209 0.999516093

21.32547834 0.999687546

21.32804778 0.999807995

21.32982875 0.999891482
21.331047 0.999948591

21.33186953 0.999987149

21.33214367 1

1076.497292
Appendix E-4m (i): Dry Biomass Stoker/Sloped Grate/Other Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Dry BiomassStoker/SlopedGrate/Other no 1 WVAmericanWoodmark

YES Yes Dry BiomassStoker/SlopedGrate/Other no 1 WVAmericanWoodmark

YES Yes Dry BiomassStoker/SlopedGrate/Other no 1 WVAmericanWoodmark
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

B2 ICR Phase II - Voluntary Additional PM from Test Report Particulate Matter (PM) filterable ET Sample #1

B2 ICR Phase II - Voluntary Additional PM from Test Report Particulate Matter (PM) filterable ET Sample #2

B2 ICR Phase II - Voluntary Additional PM from Test Report Particulate Matter (PM) filterable ET Sample #4
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

3/24/2005 0.178 -1.725971729 0

3/24/2005 0.246 -1.402423743 0

3/24/2005 0.215 -1.537117251 0
Appendix E-4m (ii): Dry Biomass Stoker/Slop

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -1.555170908

Variance of natural log of 

test runs (σ2) 0.026415276

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.439138892

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.002149457

Flatness of z distribution 

(β2z) 1602.0034

Skewness of z distribution 

(√β1z) 0.285904037
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815685 0.99927472 0.996005928

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.213960626

exp (2μ + σ2) 0.04577915

exp (σ2) - 1 0.026767251

(σ2/n) + [σ4/(2(n - 1))] 0.008979534

Square root term 0.085882622

Confidence Level 99% 99.9% 99.5%

UPL 3.14E-01 3.37E-01 3.22E-01

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -2.63E-01 -4.94E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-4m (ii): Dry Biomass Stoker/Sloped Grate/Other Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Stoker/SlopedGrate/Other Dry Biomass 1 WVAmericanWoodmarkB2 ICR Phase II - Voluntary Additional PM from Test Report

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num test 

runs - 1 Data Type Fuel

Particulate Matter (PM) filterable 2.13E-01 -1.55E+00 3.00E+00 2.00E+00 ET /Biomass/
Appendix E-4m (iii): Dry Biomass Stoker/Sloped Grate/Other Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 1602.0034 0.285904

1.28118E-05 -5 =f(a) 31842.576

5.12545E-05 1 -4.899 28978.597

0.000108192 2 -4.798 26302.2

0.000191432 3 -4.697 23805.399

0.000311522 4 -4.596 21480.372

0.000482462 5 -4.495 19319.464

0.000722471 6 -4.394 17315.189

0.001054777 7 -4.293 15460.222

0.001508338 8 -4.192 13747.411

0.002118378 9 -4.091 12169.764

0.002926583 10 -3.99 10720.46

0.003980741 11 -3.889 9392.8422

0.00533361 12 -3.788 8180.421

0.007040722 13 -3.687 7076.8728

0.009156899 14 -3.586 6076.0405

0.01173123 15 -3.485 5171.9335

0.014800402 16 -3.384 4358.7276

0.018380373 17 -3.283 3630.7647

0.022456607 18 -3.182 2982.5535

0.026973349 19 -3.081 2408.7688

0.0318227 20 -2.98 1904.2519

0.036834598 21 -2.879 1464.0104

0.041769093 22 -2.778 1083.2185

0.046312538 23 -2.677 757.21671

0.050079403 24 -2.576 481.51176

0.052621353 25 -2.475 251.77696

0.05344487 26 -2.374 63.851949

0.054851603 27 -2.273 -86.25722

0.058982714 28 -2.172 -202.3781

0.066270773 29 -2.071 -288.1719

0.07703749 30 -1.97 -347.1334

0.091442651 31 -1.869 -382.591

0.109436016 32 -1.768 -397.7067

0.130717683 33 -1.667 -395.476

0.154712579 34 -1.566 -378.7282

0.180564404 35 -1.465 -350.1261

0.207153143 36 -1.364 -312.1661

0.233138467 37 -1.263 -267.1782

0.257028895 38 -1.162 -217.3262

0.277273773 39 -1.061 -164.6072

0.292372294 40 -0.96 -110.852

0.300991171 41 -0.859 -57.72526

0.302080685 42 -0.758 -6.724873

0.309183456 43 -0.657 40.81743

0.324675179 44 -0.556 83.736373

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.348239924 45 -0.455 121.03307

0.379042564 46 -0.354 151.87503

0.415764806 47 -0.253 175.59614

0.456682513 48 -0.152 191.69671

0.499778678 49 -0.051 199.84341

0.542882608 50 0.05 199.86932

0.583822998 51 0.151 191.77392

0.620581064 52 0.252 175.72307

0.651429896 53 0.353 152.04902

0.675047692 54 0.454 121.25043

0.690595402 55 0.555 83.992331

0.697753116 56 0.656 41.106167

0.698792441 57 0.757 -6.410236

0.707369018 58 0.858 -57.39266

0.722435465 59 0.959 -110.5105

0.742659905 60 1.06 -164.2667

0.766541968 61 1.161 -216.9979

0.792530524 62 1.262 -266.8743

0.819132827 63 1.363 -311.8998

0.845006684 64 1.464 -349.9116

0.869029834 65 1.565 -378.581

0.890343569 66 1.666 -395.4124

0.908370468 67 1.767 -397.7442

0.922808498 68 1.868 -382.7482

0.933605651 69 1.969 -347.4298

0.940920377 70 2.07 -288.6281

0.945073514 71 2.171 -203.0159

0.94649721 72 2.272 -87.09923

0.947308851 73 2.373 62.781848

0.949843708 74 2.474 250.45389

0.953607722 75 2.575 479.9098

0.958151865 76 2.676 755.30886

0.963089845 77 2.777 1080.9768

0.968107248 78 2.878 1461.4056

0.972963411 79 2.979 1901.2539

0.977487651 80 3.08 2405.3464

0.981571556 81 3.181 2978.6744

0.985158975 82 3.282 3626.3956

0.988235091 83 3.383 4353.834

0.990815685 84 3.484 5166.4801

0.992937348 85 3.585 6069.9907

0.994649147 86 3.686 7070.189

0.996005928 87 3.787 8173.0646

0.997063285 88 3.888 9384.7735

0.997874052 89 3.989 10711.638

0.998486109 90 4.09 12160.147

0.998941229 91 4.191 13736.956

0.99927472 92 4.292 15448.887

0.999515615 93 4.393 17302.926

0.999687207 94 4.494 19306.229

0.99980777 95 4.595 21466.117

0.999891348 96 4.696 23790.076
0.999948524 97 4.797 26285.76

0.999987132 98 4.898 28960.99 1 99 4.999 31823.75
distribution of Z

Normal 

distribution

1.48672E-06 0.047340979

2.45094E-06 0.071024795

3.9995E-06 0.10519572

6.46025E-06 0.153788752

1.03291E-05 0.221872657

1.63472E-05 0.315820063

2.56093E-05 0.443429176

3.97118E-05 0.613952743

6.09553E-05 0.837976881

9.26132E-05 1.127080609

0.000139285 1.493199006

0.000207351 1.94761233

0.000305546 2.499494115

0.000445674 3.153977499

0.000643469 3.909744385

0.000919619 4.756208689

0.001300942 5.670452501

0.001821704 6.614178091

0.002525035 7.531050616

0.003464389 8.344911729

0.004704958 8.959424088

0.006324913 9.259738226

0.008416337 9.116732792

0.011085658 8.394245843

0.014453386 6.959475564

0.018652949 4.6963827

0.023828414 1.5214907

0.030130931 -2.599010475

0.03771375 -7.632438228

0.046725789 -13.46506155

0.057303789 -19.89206159

0.069563239 -26.61427026

0.083588399 -33.24366329

0.099421884 -39.31896665

0.117054396 -44.33179758

0.136415346 -47.76256873

0.157365126 -49.12405468

0.179689839 -48.00921587

0.203099244 -44.13878635

0.227228529 -37.40344753

0.251644341 -27.89529053

0.275855243 -15.92381473

0.299326439 -2.012932365

0.321498297 13.12273424

0.341807853 28.62175004



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 43.53707104

0.37471238 56.90945269

0.386376486 67.84622002

0.394360216 75.59755477

0.398423793 79.62236867

0.398443914 79.63671523

0.394419966 75.6394637

0.386474058 67.91240749

0.374844865 56.99479457

0.359875719 43.6350846

0.34199778 28.72519062

0.32170943 13.22424145

0.299553264 -1.920207174

0.276092166 -15.84566291

0.25188591 -27.8360329

0.227469632 -37.36568592

0.203335281 -44.12333212

0.17991684 -48.01518694

0.157579839 -49.14911547

0.136615273 -47.80327428

0.117237788 -44.38399654

0.099587708 -39.37821662

0.083736272 -33.30561678

0.069693339 -26.67499834

0.05741676 -19.94829335

0.046822635 -13.51432985

0.037795734 -7.673133176

0.030199481 -2.630351538

0.023885038 1.499546847

0.018699163 4.683278028

0.014490659 6.954209285

0.011115369 8.395536715

0.008439746 9.123169701

0.006343145 9.269908109

0.004718997 8.972010937

0.003475077 8.358764701

0.002533081 7.545222708

0.001827693 6.627939352

0.001305351 5.683283147

0.000922829 4.767778006

0.00064578 3.919881067

0.00044732 3.162636298

0.000306705 2.506722654

0.000208159 1.953520801

0.000139842 1.497934381

9.29928E-05 1.130806107

6.12113E-05 0.840856717

3.98826E-05 0.616141697

2.5722E-05 0.445066254

1.64209E-05 0.31702538

1.03767E-05 0.222746703

6.49066E-06 0.154413265
4.01874E-06 0.105635542

2.46298E-06 0.071330198

1.49417E-06 0.047550124
Absolute values

0.047340979 0.002390719

0.071024795 0.007173504

0.10519572 0.010624768

0.153788752 0.015532664

0.221872657 0.022409138

0.315820063 0.031897826

0.443429176 0.044786347

0.613952743 0.062009227

0.837976881 0.084635665

1.127080609 0.113835142

1.493199006 0.1508131

1.94761233 0.196708845

2.499494115 0.252448906

3.153977499 0.318551727

3.909744385 0.394884183

4.756208689 0.480377078

5.670452501 0.572715703

6.614178091 0.668031987

7.531050616 0.760636112

8.344911729 0.842836085

8.959424088 0.904901833

9.259738226 0.935233561

9.116732792 0.920790012

8.394245843 0.84781883

6.959475564 0.702907032

4.6963827 0.474334653

1.5214907 0.153670561

2.599010475 0.262500058

7.632438228 0.770876261

13.46506155 1.359971216

19.89206159 2.009098221

26.61427026 2.688041297

33.24366329 3.357609992

39.31896665 3.971215632

44.33179758 4.477511556

47.76256873 4.824019442

49.12405468 4.961529523

48.00921587 4.848930803

44.13878635 4.458017422

37.40344753 3.7777482

27.89529053 2.817424344

15.92381473 1.608305287

2.012932365 0.203306169

13.12273424 1.325396158

28.62175004 2.890796754



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
43.53707104 4.397244175

56.90945269 5.747854722

67.84622002 6.852468222

75.59755477 7.635353032

79.62236867 8.041859236

79.63671523 8.043308238

75.6394637 7.639585834

67.91240749 6.859153157

56.99479457 5.756474252

43.6350846 4.407143545

28.72519062 2.901244252

13.22424145 1.335648386

1.920207174 0.193940925

15.84566291 1.600411954

27.8360329 2.811439323

37.36568592 3.773934278

44.12333212 4.456456545

48.01518694 4.849533881

49.14911547 4.964060662

47.80327428 4.828130703

44.38399654 4.482783651

39.37821662 3.977199879

33.30561678 3.363867295

26.67499834 2.694174832

19.94829335 2.014777629

13.51432985 1.364947315

7.673133176 0.774986451

2.630351538 0.265665505

1.499546847 0.151454232

4.683278028 0.473011081

6.954209285 0.702375138

8.395536715 0.847949208

9.123169701 0.92144014

9.269908109 0.936260719

8.972010937 0.906173105

8.358764701 0.844235235

7.545222708 0.762067494

6.627939352 0.669421875

5.683283147 0.574011598

4.767778006 0.481545579

3.919881067 0.395907988

3.162636298 0.319426266

2.506722654 0.253178988

1.953520801 0.197305601

1.497934381 0.151291373

1.130806107 0.114211417

0.840856717 0.084926528

0.616141697 0.062230311

0.445066254 0.044951692

0.31702538 0.032019563

0.222746703 0.022497417

0.154413265 0.01559574
0.105635542 0.01066919

0.071330198 0.00720435

0.047550124 0.002401281
Cumulative normalization

0.002390719 1.28118E-05

0.009564224 5.12545E-05

0.020188991 0.000108192

0.035721655 0.000191432

0.058130794 0.000311522

0.09002862 0.000482462

0.134814967 0.000722471

0.196824194 0.001054777

0.281459859 0.001508338

0.395295 0.002118378

0.5461081 0.002926583

0.742816945 0.003980741

0.995265851 0.00533361

1.313817578 0.007040722

1.708701761 0.009156899

2.189078839 0.01173123

2.761794542 0.014800402

3.429826529 0.018380373

4.190462641 0.022456607

5.033298726 0.026973349

5.938200558 0.0318227

6.873434119 0.036834598

7.794224131 0.041769093

8.642042961 0.046312538

9.344949993 0.050079403

9.819284646 0.052621353

9.972955207 0.05344487

10.23545526 0.054851603

11.00633153 0.058982714

12.36630274 0.066270773

14.37540096 0.07703749

17.06344226 0.091442651

20.42105225 0.109436016

24.39226788 0.130717683

28.86977944 0.154712579

33.69379888 0.180564404

38.6553284 0.207153143

43.50425921 0.233138467

47.96227663 0.257028895

51.74002483 0.277273773

54.55744917 0.292372294

56.16575446 0.300991171

56.36906063 0.302080685

57.69445679 0.309183456

60.58525354 0.324675179

2 ( ) ( )

i

f x f b



  



 
64.98249772 0.348239924

70.73035244 0.379042564

77.58282066 0.415764806

85.21817369 0.456682513

93.26003293 0.499778678

101.3033412 0.542882608

108.942927 0.583822998

115.8020802 0.620581064

121.5585544 0.651429896

125.965698 0.675047692

128.8669422 0.690595402

130.2025906 0.697753116

130.3965315 0.698792441

131.9969435 0.707369018

134.8083828 0.722435465

138.5823171 0.742659905

143.0387736 0.766541968

147.8883075 0.792530524

152.8523682 0.819132827

157.6804989 0.845006684

162.1632825 0.869029834

166.1404824 0.890343569

169.5043497 0.908370468

172.1985245 0.922808498

174.2133021 0.933605651

175.5782495 0.940920377

176.3532359 0.945073514

176.6189014 0.94649721

176.7703556 0.947308851

177.2433667 0.949843708

177.9457419 0.953607722

178.7936911 0.958151865

179.7151312 0.963089845

180.6513919 0.968107248

181.557565 0.972963411

182.4018003 0.977487651

183.1638678 0.981571556

183.8332896 0.985158975

184.4073012 0.988235091

184.8888468 0.990815685

185.2847548 0.992937348

185.6041811 0.994649147

185.8573601 0.996005928

186.0546657 0.997063285

186.205957 0.997874052

186.3201685 0.998486109

186.405095 0.998941229

186.4673253 0.99927472

186.512277 0.999515615

186.5442965 0.999687207

186.566794 0.99980777

186.5823897 0.999891348
186.5930589 0.999948524

186.6002632 0.999987132

186.6026645 1

9422.182439
Appendix E-4n (i): Dry Biomass Stoker/Sloped Grate/Other TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Dry BiomassStoker/SlopedGrate/Other No 1 GARoseburgForestVienna

YES Yes Dry BiomassStoker/SlopedGrate/Other No 1 GARoseburgForestVienna

YES Yes Dry BiomassStoker/SlopedGrate/Other No 1 GARoseburgForestVienna
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

600-Wood fired boiler ICR Phase I PM and Metals (2) TSM8 ET Sample #1

600-Wood fired boiler ICR Phase I PM and Metals (2) TSM8 ET Sample #2

600-Wood fired boiler ICR Phase I PM and Metals (2) TSM8 ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

9/18/2003 0.003191164 -5.747369538 0

9/18/2003 0.003019271 -5.802739867 0

9/18/2003 0.002503772 -5.989956884 0
Appendix E-4n (ii): Dry Biomass Stoker/Slope

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -5.846688763

Variance of natural log of 

test runs (σ2) 0.016160784

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.264680708

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.000796295

Flatness of z distribution 

(β2z) 4101.83715

Skewness of z distribution 

(√β1z) 0.222280302
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815468 0.999274643 0.996005673

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.002912893

exp (2μ + σ2) 8.48495E-06

exp (σ2) - 1 0.016292076

(σ2/n) + [σ4/(2(n - 1))] 0.005452221

Square root term 0.00091163

Confidence Level 99% 99.9% 99.5%

UPL 3.97E-03 4.22E-03 4.06E-03

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -1.29E+00 -1.37E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-4n (ii): Dry Biomass Stoker/Sloped Grate/Other TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

Stoker/SlopedGrate/Other Dry Biomass 1 GARoseburgForestVienna 600-Wood fired boilerICR Phase I PM and Metals (2)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 2.90E-03 -5.84E+00 3.00E+00 2 ET /Wood: Plywood, Particleboard (containing glues or resins)/

d (containing glues or resins)/
Appendix E-4n (iii): Dry Biomass Stoker/Sloped Grate/Other Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 4101.8371 0.2222803

1.28165E-05 -5 =f(a) 81632.098

5.12731E-05 1 -4.899 74290.054

0.000108232 2 -4.798 67428.879

0.000191501 3 -4.697 61028.098

0.000311636 4 -4.596 55067.663

0.000482638 5 -4.495 49527.951

0.000722736 6 -4.394 44389.767

0.001055165 7 -4.293 39634.342

0.001508894 8 -4.192 35243.334

0.00211916 9 -4.091 31198.825

0.002927663 10 -3.99 27483.328

0.00398221 11 -3.889 24079.778

0.005335575 12 -3.788 20971.54

0.007043308 13 -3.687 18142.403

0.009160245 14 -3.586 15576.585

0.011735486 15 -3.485 13258.727

0.014805716 16 -3.384 11173.901

0.018386875 17 -3.283 9307.6026

0.022464392 18 -3.182 7645.7538

0.02698244 19 -3.081 6174.7042

0.031833012 20 -2.98 4881.2297

0.036845889 21 -2.879 3752.5326

0.041780904 22 -2.778 2776.2416

0.046324122 23 -2.677 1940.4123

0.050089652 24 -2.576 1233.5264

0.052628714 25 -2.475 644.49242

0.053447263 26 -2.374 162.64531

0.054861653 27 -2.273 -222.2535

0.05900379 28 -2.172 -520.0159

0.066306979 29 -2.071 -740.0275

0.077093702 30 -1.97 -891.2471

0.09152452 31 -1.869 -982.2072

0.109549951 32 -1.768 -1021.014

0.130870779 33 -1.667 -1015.346

0.154912529 34 -1.566 -972.4567

0.180819358 35 -1.465 -899.1724

0.207471545 36 -1.364 -801.8928

0.233528862 37 -1.263 -686.591

0.25749972 38 -1.162 -558.8139

0.277833149 39 -1.061 -423.6817

0.293027812 40 -0.96 -285.888

0.301749707 41 -0.859 -149.6999

0.302948239 42 -0.758 -18.95816

0.309936997 43 -0.657 102.9232

0.325310796 44 -0.556 212.95661

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.348754834 45 -0.455 308.58101

0.379435107 46 -0.354 387.6619

0.416034404 47 -0.253 448.49128

0.456829599 48 -0.152 489.78769

0.499804604 49 -0.051 510.69619

0.542789538 50 0.05 510.78839

0.583613797 51 0.151 490.06238

0.620259195 52 0.252 448.94282

0.65099932 53 0.353 388.28089

0.674512789 54 0.454 309.35426

0.689960904 55 0.555 213.86718

0.697024046 56 0.656 103.95039

0.698152668 57 0.757 -17.83883

0.706813057 58 0.858 -148.5167

0.721957662 59 0.959 -284.6728

0.742254472 60 1.06 -422.4704

0.766203033 61 1.161 -557.6461

0.792252184 62 1.262 -685.5099

0.818909204 63 1.363 -800.9454

0.844831991 64 1.464 -898.4096

0.868898441 65 1.565 -971.9331

0.890250075 66 1.666 -1015.12

0.908309755 67 1.767 -1021.147

0.922775792 68 1.868 -982.7663

0.933596566 69 1.969 -892.3014

0.940930941 70 2.07 -741.6504

0.945100192 71 2.171 -522.2846

0.946536906 72 2.272 -225.2489

0.947338196 73 2.373 158.8384

0.94986496 74 2.474 639.78557

0.953622758 75 2.575 1227.8274

0.958162218 76 2.676 1933.6251

0.963096743 77 2.777 2768.2664

0.968111656 78 2.878 3743.2659

0.972966072 79 2.979 4870.5642

0.977489123 80 3.08 6162.5289

0.98157225 81 3.181 7631.9538

0.985159184 82 3.282 9292.0593

0.988235019 83 3.383 11156.492

0.990815468 84 3.484 13239.327

0.992937074 85 3.585 15555.062

0.994648868 86 3.686 18118.625

0.996005673 87 3.787 20945.369

0.997063067 88 3.888 24051.073

0.997873875 89 3.989 27451.944

0.99848597 90 4.09 31164.614

0.998941124 91 4.191 35206.142

0.999274643 92 4.292 39594.015

0.999515561 93 4.393 44346.143

0.999687171 94 4.494 49480.867

0.999807747 95 4.595 55016.951

0.999891334 96 4.696 60973.587
0.999948517 97 4.797 67370.394

0.99998713 98 4.898 74227.416 1 99 4.999 81565.125
distribution of Z

Normal 

distribution

1.48672E-06 0.121364033

2.45094E-06 0.182080446

3.9995E-06 0.269681982

6.46025E-06 0.394256576

1.03291E-05 0.568798753

1.63472E-05 0.809645667

2.56093E-05 1.136789114

3.97118E-05 1.573949739

6.09553E-05 2.148266287

9.26132E-05 2.889422588

0.000139285 3.828014641

0.000207351 4.992958622

0.000305546 6.407768054

0.000445674 8.085595577

0.000643469 10.02305105

0.000919619 12.19297859

0.001300942 14.53659954

0.001821704 16.95569555

0.002525035 19.30579251

0.003464389 21.39157665

0.004704958 22.9659785

0.006324913 23.73444122

0.008416337 23.36578625

0.011085658 21.51074777

0.014453386 17.8286337

0.018652949 12.02168416

0.023828414 3.875579829

0.030130931 -6.696703844

0.03771375 -19.61174973

0.046725789 -34.57836759

0.057303789 -51.07183591

0.069563239 -68.32551538

0.083588399 -85.34490227

0.099421884 -100.9476065

0.117054396 -113.8303367

0.136415346 -122.6609178

0.157365126 -126.1899564

0.179689839 -123.3734313

0.203099244 -113.4946877

0.227228529 -96.27256679

0.251644341 -71.94208889

0.275855243 -41.29550679

0.299326439 -5.674678921

0.321498297 33.08963452

0.341807853 72.79024107



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 111.0003522

0.37471238 145.2617124

0.386376486 173.2864835

0.394360216 193.1527784

0.398423793 203.4735146

0.398443914 203.5205236

0.394419966 193.2903879

0.386474058 173.5047554

0.374844865 145.5450964

0.359875719 111.3290884

0.34199778 73.14210184

0.32170943 33.44182132

0.299553264 -5.343680087

0.276092166 -41.00429251

0.25188591 -71.70507492

0.227469632 -96.099191

0.203335281 -113.389119

0.17991684 -123.3347671

0.157579839 -126.2128402

0.136615273 -122.7364722

0.117237788 -113.9472861

0.099587708 -101.0934578

0.083736272 -85.50706536

0.069693339 -68.49226595

0.05741676 -51.233055

0.046822635 -34.72602511

0.037795734 -19.74013039

0.030199481 -6.802400589

0.023885038 3.793861145

0.018699163 11.96345447

0.014490659 17.7920278

0.011115369 21.49295596

0.008439746 23.36346644

0.006343145 23.74407935

0.004718997 22.98417732

0.003475077 21.41526474

0.002533081 19.33235506

0.001827693 16.9830356

0.001305351 14.56314256

0.000922829 12.21763551

0.00064578 10.04515441

0.00044732 8.104821845

0.000306705 6.424056838

0.000208159 5.006436446

0.000139842 3.838928295

9.29928E-05 2.898084596

6.12113E-05 2.155013125

3.98826E-05 1.579112074

2.5722E-05 1.140672491

1.64209E-05 0.812519648

1.03767E-05 0.570892465

6.49066E-06 0.395758747
4.01874E-06 0.270743855

2.46298E-06 0.18282028

1.49417E-06 0.121872243
Absolute values

0.121364033 0.006128884

0.182080446 0.018390125

0.269681982 0.02723788

0.394256576 0.039819914

0.568798753 0.057448674

0.809645667 0.081774212

1.136789114 0.114815701

1.573949739 0.158968924

2.148266287 0.216974895

2.889422588 0.291831681

3.828014641 0.386629479

4.992958622 0.504288821

6.407768054 0.647184573

8.085595577 0.816645153

10.02305105 1.012328156

12.19297859 1.231490837

14.53659954 1.468196554

16.95569555 1.712525251

19.30579251 1.949885043

21.39157665 2.160549242

22.9659785 2.319563829

23.73444122 2.397178563

23.36578625 2.359944411

21.51074777 2.172585525

17.8286337 1.800692004

12.02168416 1.214190101

3.875579829 0.391433563

6.696703844 0.676367088

19.61174973 1.980786723

34.57836759 3.492415127

51.07183591 5.158255426

68.32551538 6.900877054

85.34490227 8.619835129

100.9476065 10.19570825

113.8303367 11.49686401

122.6609178 12.38875269

126.1899564 12.7451856

123.3734313 12.46071656

113.4946877 11.46296345

96.27256679 9.723529246

71.94208889 7.266150978

41.29550679 4.170846185

5.674678921 0.573142571

33.08963452 3.342053087

72.79024107 7.351814348



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
111.0003522 11.21103557

145.2617124 14.67143295

173.2864835 17.50193484

193.1527784 19.50843061

203.4735146 20.55082497

203.5205236 20.55557288

193.2903879 19.52232917

173.5047554 17.52398029

145.5450964 14.70005474

111.3290884 11.24423793

73.14210184 7.387352286

33.44182132 3.377623953

5.343680087 0.539711689

41.00429251 4.141433544

71.70507492 7.242212567

96.099191 9.706018291

113.389119 11.45230102

123.3347671 12.45681148

126.2128402 12.74749686

122.7364722 12.39638369

113.9472861 11.50867589

101.0934578 10.21043923

85.50706536 8.636213602

68.49226595 6.917718861

51.233055 5.174538555

34.72602511 3.507328537

19.74013039 1.99375317

6.802400589 0.68704246

3.793861145 0.383179976

11.96345447 1.208308902

17.7920278 1.796994808

21.49295596 2.170788552

23.36346644 2.35971011

23.74407935 2.398152014

22.98417732 2.32140191

21.41526474 2.162941738

19.33235506 1.952567861

16.9830356 1.715286596

14.56314256 1.470877399

12.21763551 1.233981187

10.04515441 1.014560595

8.104821845 0.818587006

6.424056838 0.648829741

5.006436446 0.505650081

3.838928295 0.387731758

2.898084596 0.292706544

2.155013125 0.217656326

1.579112074 0.159490319

1.140672491 0.115207922

0.812519648 0.082064484

0.570892465 0.057660139

0.395758747 0.039971633
0.270743855 0.027345129

0.18282028 0.018464848

0.121872243 0.006154548
Cumulative normalization

0.006128884 1.28165E-05

0.024519009 5.12731E-05

0.051756889 0.000108232

0.091576803 0.000191501

0.149025477 0.000311636

0.23079969 0.000482638

0.34561539 0.000722736

0.504584314 0.001055165

0.721559209 0.001508894

1.01339089 0.00211916

1.400020369 0.002927663

1.90430919 0.00398221

2.551493763 0.005335575

3.368138916 0.007043308

4.380467072 0.009160245

5.611957909 0.011735486

7.080154463 0.014805716

8.792679714 0.018386875

10.74256476 0.022464392

12.903114 0.02698244

15.22267783 0.031833012

17.61985639 0.036845889

19.9798008 0.041780904

22.15238633 0.046324122

23.95307833 0.050089652

25.16726843 0.052628714

25.55870199 0.053447263

26.23506908 0.054861653

28.2158558 0.05900379

31.70827093 0.066306979

36.86652636 0.077093702

43.76740341 0.09152452

52.38723854 0.109549951

62.58294679 0.130870779

74.0798108 0.154912529

86.4685635 0.180819358

99.2137491 0.207471545

111.6744657 0.233528862

123.1374291 0.25749972

132.8609584 0.277833149

140.1271093 0.293027812

144.2979555 0.301749707

144.8710981 0.302948239

148.2131512 0.309936997

155.5649655 0.325310796

2 ( ) ( )

i

f x f b



  



 
166.7760011 0.348754834

181.447434 0.379435107

198.9493689 0.416034404

218.4577995 0.456829599

239.0086245 0.499804604

259.5641974 0.542789538

279.0865265 0.583613797

296.6105068 0.620259195

311.3105616 0.65099932

322.5547995 0.674512789

329.9421518 0.689960904

333.3197757 0.697024046

333.8594874 0.698152668

338.000921 0.706813057

345.2431335 0.721957662

354.9491518 0.742254472

366.4014528 0.766203033

378.8582643 0.792252184

391.6057612 0.818909204

404.0021449 0.844831991

415.5108208 0.868898441

425.72126 0.890250075

434.3574736 0.908309755

441.2751925 0.922775792

446.449731 0.933596566

449.9570595 0.940930941

451.9508127 0.945100192

452.6378552 0.946536906

453.0210352 0.947338196

454.2293441 0.94986496

456.0263389 0.953622758

458.1971274 0.958162218

460.5568375 0.963096743

462.9549895 0.968111656

465.2763914 0.972966072

467.4393332 0.977489123

469.391901 0.98157225

471.1071876 0.985159184

472.578065 0.988235019

473.8120462 0.990815468

474.8266068 0.992937074

475.6451938 0.994648868

476.2940236 0.996005673

476.7996737 0.997063067

477.1874054 0.997873875

477.480112 0.99848597

477.6977683 0.998941124

477.8572586 0.999274643

477.9724665 0.999515561

478.054531 0.999687171

478.1121911 0.999807747

478.1521628 0.999891334
478.1795079 0.999948517

478.1979728 0.99998713

478.2041273 1

24146.86006
Appendix E-5a (i): Coal Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Coal FB no 1 IAArchersDanielsMidlandDesMoines

YES Coal FB no 1 IAArchersDanielsMidlandDesMoines

YES Coal FB no 1 IAArchersDanielsMidlandDesMoines

YES Yes Coal FB no 1 IAArchersDanielsMidlandDesMoines

YES Yes Coal FB no 1 IAArchersDanielsMidlandDesMoines

YES Yes Coal FB no 1 IAArchersDanielsMidlandDesMoines
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

Asea Boiler #1 ICR Phase I PM and Metals Particulate Matter (PM) filterable ET Sample #1

Asea Boiler #1 ICR Phase I PM and Metals Particulate Matter (PM) filterable ET Sample #2

Asea Boiler #1 ICR Phase I PM and Metals Particulate Matter (PM) filterable ET Sample #3

Asea Boiler #1 ICR Phase II - Templates PM (filter) Particulate Matter (PM) filterable ET Sample #1

Asea Boiler #1 ICR Phase II - Templates PM (filter) Particulate Matter (PM) filterable ET Sample #2

Asea Boiler #1 ICR Phase II - Templates PM (filter) Particulate Matter (PM) filterable ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

6/3/2008 0.000851965 -7.067964723 0

6/3/2008 0.00088142 -7.033976282 0

6/3/2008 0.000888318 -7.026180218 0

8/26/2009 0.00026926 -8.219832692 0

8/26/2009 0.000273253 -8.205110914 0

8/27/2009 0.00027184 -8.210297692 0
Appendix E-5a (ii): Coal Filterable PM Test Av

In top 

12%?

Min Test 

Avg?

YES Yes

YES

Number of sources with test data 1

n 6

n-1 5

verage of natural log of test run values (μ) -7.627227087

Variance of natural log of test runs (σ2) 0.41021614

m (test runs in test condition) 3

alculation of flatness of z distribution (β2z) 15.82097031

alculation of flatness of z distribution (β2z) 0.7715836

Flatness of z distribution (β2z) 22.50454456

Skewness of z distribution (√β1z) 1.441977031

Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

umn A that is larger than confidence level 0.990789801 0.999291884 0.996044452
z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.000597881

exp (2μ + σ2) 3.57462E-07

exp (σ2) - 1 0.507143504

(σ2/n) + [σ4/(2(n - 1))] 0.085197085

Square root term 0.000904403

Confidence Level 99% 99.9% 99.5%

UPL 1.65E-03 1.89E-03 1.74E-03

Analysis of Data Distribution Normal Log-normal

Skewness = 5.49E-03 1.74E-03

SE Skewness 1.00 1.00

Skewness Test normal normal

Kurtosis = -3.32E+00 -3.33E+00

SE Kurtosis 2.00 2.00

Kurtosis Test normal normal

Number of test runs = 6 6
ndix E-5a (ii): Coal Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

FB Coal 1 IAArchersDanielsMidlandDesMoines Asea Boiler #1 ICR Phase II - Templates PM (filter)

FB Coal 1 IAArchersDanielsMidlandDesMoines Asea Boiler #1 ICR Phase I PM and Metals

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.000271451 -8.211728526 3 2 ET Coal: Sub-bituminous

Particulate Matter (PM) filterable 0.000873901 -7.042543136 3 2 ET /Coal: Sub-bituminous/
Appendix E-5a (iii): Coal Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 22.504545 1.441977

1.08112E-05 -5 =f(a) 363.02927

4.31942E-05 1 -4.899 329.80164

9.10687E-05 2 -4.798 298.79024

0.000160921 3 -4.697 269.89913

0.00026149 4 -4.596 243.03438

0.000404327 5 -4.495 218.10412

0.000604407 6 -4.394 195.01848

0.000880735 7 -4.293 173.68963

0.001256878 8 -4.192 154.03178

0.00176133 9 -4.091 135.96115

0.002427562 10 -3.99 119.396

0.003293608 11 -3.889 104.25662

0.004400973 12 -3.788 90.465341

0.005792673 13 -3.687 77.9465

0.007510211 14 -3.586 66.626478

0.009589324 15 -3.485 56.433684

0.012054442 16 -3.384 47.298556

0.014911907 17 -3.283 39.153562

0.018142197 18 -3.182 31.933198

0.021691614 19 -3.081 25.573991

0.025464139 20 -2.98 20.014498

0.02931445 21 -2.879 15.195304

0.033043273 22 -2.778 11.059026

0.036396463 23 -2.677 7.5503092

0.039069168 24 -2.576 4.6158283

0.040716373 25 -2.475 2.204288

0.040970703 26 -2.374 0.2664227

0.042473551 27 -2.273 -1.245003

0.046062201 28 -2.172 -2.375197

0.051991214 29 -2.071 -3.167334

0.06039936 30 -1.97 -3.662563

0.071268025 31 -1.869 -3.9

0.084384036 32 -1.768 -3.916733

0.099311724 33 -1.667 -3.74782

0.115379053 34 -1.566 -3.42629

0.131682105 35 -1.465 -2.983142

0.147111016 36 -1.364 -2.447344

0.160398674 37 -1.263 -1.845836

0.170191236 38 -1.162 -1.203528

0.175137015 39 -1.061 -0.5433

0.176286256 40 -0.96 0.1139967

0.184569666 41 -0.859 0.7495422

0.200716886 42 -0.758 1.346545

0.22506292 43 -0.657 1.8902434

0.257487787 44 -0.556 2.3679054

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.297388725 45 -0.455 2.7688289

0.343689928 46 -0.354 3.0843412

0.394891307 47 -0.253 3.3077993

0.449153807 48 -0.152 3.4345899

0.504415014 49 -0.051 3.4621293

0.558525473 50 0.05 3.3898634

0.609393844 51 0.151 3.219268

0.655127965 52 0.252 2.9538482

0.694159254 53 0.353 2.599139

0.725339651 54 0.454 2.162705

0.748003176 55 0.555 1.6541403

0.76198787 56 0.656 1.085069

0.767617922 57 0.757 0.4691444

0.76958619 58 0.858 -0.17795

0.778047543 59 0.959 -0.838502

0.791650949 60 1.06 -1.492768

0.808912147 61 1.161 -2.118978

0.828325153 62 1.262 -2.693327

0.848463385 63 1.363 -3.189987

0.868062967 64 1.464 -3.581094

0.88608335 65 1.565 -3.836759

0.901743072 66 1.666 -3.925062

0.914531117 67 1.767 -3.812051

0.924196488 68 1.868 -3.461748

0.930720258 69 1.969 -2.836143

0.934275279 70 2.07 -1.895197

0.935178999 71 2.171 -0.596842

0.936513488 72 2.272 1.1030212

0.939623848 73 2.373 3.25052

0.944039047 74 2.474 5.8938122

0.949311993 75 2.575 9.0830849

0.955043291 76 2.676 12.870555

0.960896177 77 2.777 17.310469

0.966603453 78 2.878 22.459104

0.971967761 79 2.979 28.374764

0.9768568 80 3.08 35.117786

0.981195128 81 3.181 42.750534

0.9849541 82 3.282 51.337404

0.988141202 83 3.383 60.94482

0.990789801 84 3.484 71.641236

0.992949972 85 3.585 83.497136

0.994680824 86 3.686 96.585033

0.996044452 87 3.787 110.97947

0.997101508 88 3.888 126.75702

0.997908223 89 3.989 143.99628

0.998514647 90 4.09 162.7779

0.99896386 91 4.191 183.18452

0.999291884 92 4.292 205.30084

0.999528083 93 4.393 229.21358

0.999695843 94 4.494 255.0115

0.999813399 95 4.595 282.78536

0.999894691 96 4.696 312.62799
0.999950177 97 4.797 344.63422

0.999987563 98 4.898 378.90092 1 99 4.999 415.52699
distribution of Z

Normal 

distribution

1.48672E-06 0.000539723

2.45094E-06 0.000808324

3.9995E-06 0.001195012

6.46025E-06 0.001743615

1.03291E-05 0.002510324

1.63472E-05 0.003565402

2.56093E-05 0.004994279

3.97118E-05 0.006897522

6.09553E-05 0.009389046

9.26132E-05 0.012591795

0.000139285 0.016630069

0.000207351 0.021617683

0.000305546 0.027641314

0.000445674 0.034738721

0.000643469 0.042872081

0.000919619 0.051897492

0.001300942 0.061532687

0.001821704 0.071326195

0.002525035 0.080632428

0.003464389 0.088598249

0.004704958 0.094167361

0.006324913 0.096108973

0.008416337 0.093076496

0.011085658 0.08370015

0.014453386 0.06671435

0.018652949 0.041116471

0.023828414 0.006348431

0.030130931 -0.037513113

0.03771375 -0.089577583

0.046725789 -0.147996199

0.057303789 -0.20987873

0.069563239 -0.271296615

0.083588399 -0.327393429

0.099421884 -0.372615339

0.117054396 -0.401062323

0.136415346 -0.406946298

0.157365126 -0.385126554

0.179689839 -0.331677961

0.203099244 -0.244435642

0.227228529 -0.123453338

0.251644341 0.02868663

0.275855243 0.206765157

0.299326439 0.403056514

0.321498297 0.607710019

0.341807853 0.809368672



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 0.995981524

0.37471238 1.155740839

0.386376486 1.278055875

0.394360216 1.354465612

0.398423793 1.379394677

0.398443914 1.350670451

0.394419966 1.269743565

0.386474058 1.141585697

0.374844865 0.974273906

0.359875719 0.778305008

0.34199778 0.565712327

0.32170943 0.349076926

0.299553264 0.140533745

0.276092166 -0.049130645

0.25188591 -0.211206825

0.227469632 -0.33955949

0.203335281 -0.430862893

0.17991684 -0.484574963

0.157579839 -0.502677594

0.136615273 -0.489232172

0.117237788 -0.449813186

0.099587708 -0.390887902

0.083736272 -0.319206956

0.069693339 -0.241260783

0.05741676 -0.162842149

0.046822635 -0.088738132

0.037795734 -0.02255808

0.030199481 0.033310667

0.023885038 0.077638794

0.018699163 0.110209352

0.014490659 0.131619887

0.011115369 0.143060969

0.008439746 0.146095968

0.006343145 0.142461357

0.004718997 0.133900422

0.003475077 0.122037023

0.002533081 0.108290555

0.001827693 0.093829036

0.001305351 0.079554404

0.000922829 0.066112615

0.00064578 0.053920815

0.00044732 0.043204408

0.000306705 0.034037997

0.000208159 0.026385557

0.000139842 0.020136694

9.29928E-05 0.015137172

6.12113E-05 0.011212959

3.98826E-05 0.00818793

2.5722E-05 0.005895837

1.64209E-05 0.004187515

1.03767E-05 0.002934369

6.49066E-06 0.002029162
4.01874E-06 0.001384994

2.46298E-06 0.000933224

1.49417E-06 0.000620868
Absolute values

0.000539723 2.7256E-05

0.000808324 8.16407E-05

0.001195012 0.000120696

0.001743615 0.000176105

0.002510324 0.000253543

0.003565402 0.000360106

0.004994279 0.000504422

0.006897522 0.00069665

0.009389046 0.000948294

0.012591795 0.001271771

0.016630069 0.001679637

0.021617683 0.002183386

0.027641314 0.002791773

0.034738721 0.003508611

0.042872081 0.00433008

0.051897492 0.005241647

0.061532687 0.006214801

0.071326195 0.007203946

0.080632428 0.008143875

0.088598249 0.008948423

0.094167361 0.009510903

0.096108973 0.009707006

0.093076496 0.009400726

0.08370015 0.008453715

0.06671435 0.006738149

0.041116471 0.004152764

0.006348431 0.000641192

0.037513113 0.003788824

0.089577583 0.009047336

0.147996199 0.014947616

0.20987873 0.021197752

0.271296615 0.027400958

0.327393429 0.033066736

0.372615339 0.037634149

0.401062323 0.040507295

0.406946298 0.041101576

0.385126554 0.038897782

0.331677961 0.033499474

0.244435642 0.024688

0.123453338 0.012468787

0.02868663 0.00289735

0.206765157 0.020883281

0.403056514 0.040708708

0.607710019 0.061378712

0.809368672 0.081746236



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
0.995981524 0.100594134

1.155740839 0.116729825

1.278055875 0.129083643

1.354465612 0.136801027

1.379394677 0.139318862

1.350670451 0.136417716

1.269743565 0.1282441

1.141585697 0.115300155

0.974273906 0.098401664

0.778305008 0.078608806

0.565712327 0.057136945

0.349076926 0.03525677

0.140533745 0.014193908

0.049130645 0.004962195

0.211206825 0.021331889

0.33955949 0.034295509

0.430862893 0.043517152

0.484574963 0.048942071

0.502677594 0.050770437

0.489232172 0.049412449

0.449813186 0.045431132

0.390887902 0.039479678

0.319206956 0.032239903

0.241260783 0.024367339

0.162842149 0.016447057

0.088738132 0.008962551

0.02255808 0.002278366

0.033310667 0.003364377

0.077638794 0.007841518

0.110209352 0.011131145

0.131619887 0.013293609

0.143060969 0.014449158

0.146095968 0.014755693

0.142461357 0.014388597

0.133900422 0.013523943

0.122037023 0.012325739

0.108290555 0.010937346

0.093829036 0.009476733

0.079554404 0.008034995

0.066112615 0.006677374

0.053920815 0.005446002

0.043204408 0.004363645

0.034037997 0.003437838

0.026385557 0.002664941

0.020136694 0.002033806

0.015137172 0.001528854

0.011212959 0.001132509

0.00818793 0.000826981

0.005895837 0.00059548

0.004187515 0.000422939

0.002934369 0.000296371

0.002029162 0.000204945
0.001384994 0.000139884

0.000933224 9.42556E-05

0.000620868 3.13539E-05
Cumulative normalization

2.7256E-05 1.08112E-05

0.000108897 4.31942E-05

0.000229593 9.10687E-05

0.000405698 0.000160921

0.000659241 0.00026149

0.001019346 0.000404327

0.001523769 0.000604407

0.002220418 0.000880735

0.003168712 0.001256878

0.004440483 0.00176133

0.00612012 0.002427562

0.008303506 0.003293608

0.011095279 0.004400973

0.01460389 0.005792673

0.01893397 0.007510211

0.024175617 0.009589324

0.030390418 0.012054442

0.037594363 0.014911907

0.045738239 0.018142197

0.054686662 0.021691614

0.064197565 0.025464139

0.073904572 0.02931445

0.083305298 0.033043273

0.091759013 0.036396463

0.098497162 0.039069168

0.102649926 0.040716373

0.103291117 0.040970703

0.107079942 0.042473551

0.116127278 0.046062201

0.131074894 0.051991214

0.152272645 0.06039936

0.179673604 0.071268025

0.21274034 0.084384036

0.250374489 0.099311724

0.290881784 0.115379053

0.33198336 0.131682105

0.370881142 0.147111016

0.404380616 0.160398674

0.429068616 0.170191236

0.441537403 0.175137015

0.444434752 0.176286256

0.465318033 0.184569666

0.506026741 0.200716886

0.567405453 0.22506292

0.649151689 0.257487787

2 ( ) ( )

i

f x f b



  



 
0.749745823 0.297388725

0.866475648 0.343689928

0.995559291 0.394891307

1.132360318 0.449153807

1.27167918 0.504415014

1.408096896 0.558525473

1.536340996 0.609393844

1.651641151 0.655127965

1.750042816 0.694159254

1.828651621 0.725339651

1.885788566 0.748003176

1.921045336 0.76198787

1.935239244 0.767617922

1.940201439 0.76958619

1.961533329 0.778047543

1.995828837 0.791650949

2.039345989 0.808912147

2.088288061 0.828325153

2.139058498 0.848463385

2.188470947 0.868062967

2.233902079 0.88608335

2.273381757 0.901743072

2.305621659 0.914531117

2.329988998 0.924196488

2.346436055 0.930720258

2.355398607 0.934275279

2.357676973 0.935178999

2.36104135 0.936513488

2.368882868 0.939623848

2.380014013 0.944039047

2.393307621 0.949311993

2.407756779 0.955043291

2.422512472 0.960896177

2.436901069 0.966603453

2.450425012 0.971967761

2.462750751 0.9768568

2.473688097 0.981195128

2.48316483 0.9849541

2.491199824 0.988141202

2.497877199 0.990789801

2.503323201 0.992949972

2.507686846 0.994680824

2.511124684 0.996044452

2.513789625 0.997101508

2.515823431 0.997908223

2.517352286 0.998514647

2.518484794 0.99896386

2.519311775 0.999291884

2.519907255 0.999528083

2.520330194 0.999695843

2.520626565 0.999813399

2.52083151 0.999894691
2.520971395 0.999950177

2.52106565 0.999987563

2.521097004 1

125.8025111
Appendix E-5b (i): Coal TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Coal FB No 1 ILPolyOne

YES Coal FB No 1 ILPolyOne

YES Coal FB No 1 ILPolyOne

YES Yes Coal FB No 1 ILPolyOne

YES Yes Coal FB No 1 ILPolyOne

YES Yes Coal FB No 1 ILPolyOne
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

B1 ICR Phase I PM and Metals TSM8 ET Sample #1

B1 ICR Phase I PM and Metals TSM8 ET Sample #2

B1 ICR Phase I PM and Metals TSM8 ET Sample #3

B1 ICR Phase II - ERT ERT TSM8 ET1

B1 ICR Phase II - ERT ERT TSM8 ET2

B1 ICR Phase II - ERT ERT TSM8 ET3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

11/14/2006 1.32009E-05 -11.23522267 0

11/14/2006 2.02532E-05 -10.80719704 0

11/14/2006 1.07095E-05 -11.44437626 0

9/9/2009 7.35823E-06 -11.81969162 0

9/9/2009 7.54142E-06 -11.79510029 0

9/10/2009 7.93019E-06 -11.74483305 0
Appendix E-5b (ii): Coal TSM Test Averages a

In top 

12%?

Min Test 

Avg?

YES Yes

YES

Number of sources with 

test data 1

n 6

n-1 5

Average of natural log of 

test run values (μ) -11.47440349

Variance of natural log of 

test runs (σ2) 0.159695205

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 6.252230485

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.08994614

Flatness of z distribution 

(β2z) 71.51082634

Skewness of z distribution 

(√β1z) 0.762334786
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990836791 0.999279988 0.996024582

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 1.12566E-05

exp (2μ + σ2) 1.26711E-10

exp (σ2) - 1 0.173153246

(σ2/n) + [σ4/(2(n - 1))] 0.029166123

Square root term 9.95401E-06

Confidence Level 99% 99.9% 99.5%

UPL 2.28E-05 2.55E-05 2.38E-05

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.49E+00 1.02E+00

SE Skewness 1.00 1.00

Skewness Test normal normal

Kurtosis = 1.95E+00 1.07E-01

SE Kurtosis 2.00 2.00

Kurtosis Test normal normal

Number of test runs = 6 6
ndix E-5b (ii): Coal TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

FB Coal 1 ILPolyOne B1 ICR Phase II - ERT ERT

FB Coal 1 ILPolyOne B1 ICR Phase I PM and Metals

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 7.60995E-06 -11.78605445 3 2 ET /Coal: Bituminous/

TSM8 1.47212E-05 -11.12621999 3 2 ET /Coal: Bituminous/
Appendix E-5b (iii): Coal TSM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 71.510826 0.7623348

1.24428E-05 -5 =f(a) 1351.5312

4.97702E-05 1 -4.899 1229.7113

0.000105044 2 -4.798 1115.8912

0.000185832 3 -4.697 1009.7292

0.000302358 4 -4.596 910.89121

0.000468182 5 -4.495 819.04987

0.000700946 6 -4.394 733.88517

0.001023134 7 -4.293 655.08416

0.001462758 8 -4.192 582.34103

0.002053875 9 -4.091 515.35712

0.002836764 10 -3.99 453.84086

0.003857571 11 -3.889 397.50784

0.005167194 12 -3.788 346.08076

0.00681916 13 -3.687 299.28947

0.008866241 14 -3.586 256.87093

0.011355611 15 -3.485 218.56924

0.01432241 16 -3.384 184.13563

0.017781748 17 -3.283 153.32844

0.021719341 18 -3.182 125.91317

0.026081279 19 -3.081 101.66242

0.030763654 20 -2.98 80.355944

0.035603139 21 -2.879 61.780612

0.040369871 22 -2.778 45.730424

0.044764197 23 -2.677 32.006511

0.048418939 24 -2.576 20.417132

0.050908743 25 -2.475 10.777678

0.051767717 26 -2.374 2.9106669

0.053019419 27 -2.273 -3.354254

0.056840284 28 -2.172 -8.180307

0.063624655 29 -2.071 -11.72359

0.073654906 30 -1.97 -14.13306

0.087052228 31 -1.869 -15.55055

0.103730649 32 -1.768 -16.11078

0.123359662 33 -1.667 -15.94131

0.145340989 34 -1.566 -15.1626

0.168804569 35 -1.465 -13.88797

0.192627751 36 -1.364 -12.22359

0.215479773 37 -1.263 -10.26854

0.235891292 38 -1.162 -8.11474

0.252345912 39 -1.061 -5.846993

0.2633879 40 -0.96 -3.542971

0.267737768 41 -0.859 -1.273217

0.271069944 42 -0.758 0.8988565

0.282684494 43 -0.657 2.9169655

0.302716067 44 -0.556 4.7319551

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.330790577 45 -0.455 6.3017999

0.366021497 46 -0.354 7.5916036

0.407048169 47 -0.253 8.5735995

0.452114591 48 -0.152 9.2271498

0.499182941 49 -0.051 9.5387461

0.546072383 50 0.05 9.5020094

0.590610938 51 0.151 9.1176897

0.630786732 52 0.252 8.3936665

0.664885032 53 0.353 7.3449484

0.691598978 54 0.454 5.9936734

0.710104807 55 0.555 4.3691087

0.720096135 56 0.656 2.5076507

0.721776088 57 0.757 0.4528251

0.727741912 58 0.858 -1.744713

0.740305026 59 0.959 -4.027179

0.75813687 60 1.06 -6.329661

0.779744056 61 1.161 -8.580114

0.803584937 62 1.262 -10.69937

0.828177409 63 1.363 -12.60112

0.852189688 64 1.464 -14.19194

0.874508429 65 1.565 -15.37127

0.894281312 66 1.666 -16.03141

0.91093405 67 1.767 -16.05756

0.92416413 68 1.868 -15.32776

0.933915411 69 1.969 -13.71294

0.940338827 70 2.07 -11.07689

0.943744822 71 2.171 -7.27627

0.944552933 72 2.272 -2.160623

0.945862693 73 2.373 4.4276493

0.948793028 74 2.474 12.653268

0.952864753 75 2.575 22.688087

0.957643175 76 2.676 34.711087

0.962755342 77 2.777 48.90838

0.967898865 78 2.878 65.473205

0.972843599 79 2.979 84.605932

0.977427802 80 3.08 106.51406

0.981550459 81 3.181 131.41222

0.98516137 82 3.282 159.52216

0.988250375 83 3.383 191.07278

0.990836791 84 3.484 226.30008

0.992959818 85 3.585 265.44722

0.994670377 86 3.686 308.76447

0.996024582 87 3.787 356.50923

0.997078854 88 3.888 408.94604

0.997886532 89 3.989 466.34655

0.998495772 90 4.09 528.98956

0.998948477 91 4.191 597.16099

0.999279988 92 4.292 671.15389

0.999519316 93 4.393 751.26844

0.999689703 94 4.494 837.81194

0.999809362 95 4.595 931.09884

0.999892276 96 4.696 1031.4507
0.999948976 97 4.797 1139.1962

0.999987248 98 4.898 1254.6712 1 99 4.999 1378.2187
distribution of Z

Normal 

distribution

1.48672E-06 0.002009348

2.45094E-06 0.003013948

3.9995E-06 0.00446301

6.46025E-06 0.0065231

1.03291E-05 0.009408676

1.63472E-05 0.013389211

2.56093E-05 0.018794256

3.97118E-05 0.026014549

6.09553E-05 0.035496745

9.26132E-05 0.047728864

0.000139285 0.063213213

0.000207351 0.082423525

0.000305546 0.105743559

0.000445674 0.133385507

0.000643469 0.16528851

0.000919619 0.201000441

0.001300942 0.239549799

0.001821704 0.279319006

0.002525035 0.317935092

0.003464389 0.352198155

0.004704958 0.378071306

0.006324913 0.390756983

0.008416337 0.384882677

0.011085658 0.354813247

0.014453386 0.295096705

0.018652949 0.201035481

0.023828414 0.069356577

0.030130931 -0.10106679

0.03771375 -0.308510051

0.046725789 -0.547793816

0.057303789 -0.809877644

0.069563239 -1.081746686

0.083588399 -1.346674112

0.099421884 -1.5849153

0.117054396 -1.774849271

0.136415346 -1.894531708

0.157365126 -1.923567112

0.179689839 -1.845152296

0.203099244 -1.648097565

0.227228529 -1.328603677

0.251644341 -0.891568718

0.275855243 -0.351223617

0.299326439 0.269051523

0.321498297 0.93779944

0.341807853 1.617419411



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 2.266834246

0.37471238 2.844667871

0.386376486 3.312637244

0.394360216 3.638820785

0.398423793 3.800463412

0.398443914 3.786017809

0.394419966 3.596198863

0.386474058 3.24393435

0.374844865 2.753216193

0.359875719 2.156977525

0.34199778 1.494225466

0.32170943 0.806734865

0.299553264 0.135645239

0.276092166 -0.481701592

0.25188591 -1.014389751

0.227469632 -1.439805574

0.203335281 -1.744639853

0.17991684 -1.924996301

0.157579839 -1.985682275

0.136615273 -1.938835572

0.117237788 -1.802093315

0.099587708 -1.596531788

0.083736272 -1.344600395

0.069693339 -1.068243002

0.05741676 -0.787352624

0.046822635 -0.518649096

0.037795734 -0.275011982

0.030199481 -0.06524968

0.023885038 0.105754572

0.018699163 0.236605522

0.014490659 0.328765335

0.011115369 0.385826541

0.008439746 0.412774314

0.006343145 0.415306049

0.004718997 0.399255127

0.003475077 0.370144602

0.002533081 0.332877758

0.001827693 0.291557606

0.001305351 0.249417112

0.000922829 0.208836296

0.00064578 0.171420617

0.00044732 0.138116496

0.000306705 0.10934329

0.000208159 0.085125612

0.000139842 0.065214724

9.29928E-05 0.049192218

6.12113E-05 0.03655299

3.98826E-05 0.026767359

2.5722E-05 0.019324143

1.64209E-05 0.013757614

1.03767E-05 0.009661701

6.49066E-06 0.006694794
4.01874E-06 0.004578129

2.46298E-06 0.003090224

1.49417E-06 0.002059294
Absolute values

0.002009348 0.000101472

0.003013948 0.000304409

0.00446301 0.000450764

0.0065231 0.000658833

0.009408676 0.000950276

0.013389211 0.00135231

0.018794256 0.00189822

0.026014549 0.002627469

0.035496745 0.003585171

0.047728864 0.004820615

0.063213213 0.006384535

0.082423525 0.008324776

0.105743559 0.010680099

0.133385507 0.013471936

0.16528851 0.01669414

0.201000441 0.020301045

0.239549799 0.02419453

0.279319006 0.02821122

0.317935092 0.032111444

0.352198155 0.035572014

0.378071306 0.038185202

0.390756983 0.039466455

0.384882677 0.03887315

0.354813247 0.035836138

0.295096705 0.029804767

0.201035481 0.020304584

0.069356577 0.007005014

0.10106679 0.010207746

0.308510051 0.031159515

0.547793816 0.055327175

0.809877644 0.081797642

1.081746686 0.109256415

1.346674112 0.136014085

1.5849153 0.160076445

1.774849271 0.179259776

1.894531708 0.191347703

1.923567112 0.194280278

1.845152296 0.186360382

1.648097565 0.166457854

1.328603677 0.134188971

0.891568718 0.090048441

0.351223617 0.035473585

0.269051523 0.027174204

0.93779944 0.094717743

1.617419411 0.163359361



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
2.266834246 0.228950259

2.844667871 0.287311455

3.312637244 0.334576362

3.638820785 0.367520899

3.800463412 0.383846805

3.786017809 0.382387799

3.596198863 0.363216085

3.24393435 0.327637369

2.753216193 0.278074835

2.156977525 0.21785473

1.494225466 0.150916772

0.806734865 0.081480221

0.135645239 0.013700169

0.481701592 0.048651861

1.014389751 0.102453365

1.439805574 0.145420363

1.744639853 0.176208625

1.924996301 0.194424626

1.985682275 0.20055391

1.938835572 0.195822393

1.802093315 0.182011425

1.596531788 0.161249711

1.344600395 0.13580464

1.068243002 0.107892543

0.787352624 0.079522615

0.518649096 0.052383559

0.275011982 0.02777621

0.06524968 0.006590218

0.105754572 0.010681212

0.236605522 0.023897158

0.328765335 0.033205299

0.385826541 0.038968481

0.412774314 0.041690206

0.415306049 0.041945911

0.399255127 0.040324768

0.370144602 0.037384605

0.332877758 0.033620654

0.291557606 0.029447318

0.249417112 0.025191128

0.208836296 0.021092466

0.171420617 0.017313482

0.138116496 0.013949766

0.10934329 0.011043672

0.085125612 0.008597687

0.065214724 0.006586687

0.049192218 0.004968414

0.03655299 0.003691852

0.026767359 0.002703503

0.019324143 0.001951738

0.013757614 0.001389519

0.009661701 0.000975832

0.006694794 0.000676174
0.004578129 0.000462391

0.003090224 0.000312113

0.002059294 0.000103994
Cumulative normalization

0.000101472 1.24428E-05

0.000405881 4.97702E-05

0.000856645 0.000105044

0.001515478 0.000185832

0.002465754 0.000302358

0.003818064 0.000468182

0.005716284 0.000700946

0.008343754 0.001023134

0.011928925 0.001462758

0.01674954 0.002053875

0.023134075 0.002836764

0.031458851 0.003857571

0.04213895 0.005167194

0.055610887 0.00681916

0.072305026 0.008866241

0.092606071 0.011355611

0.1168006 0.01432241

0.14501182 0.017781748

0.177123264 0.021719341

0.212695278 0.026081279

0.25088048 0.030763654

0.290346935 0.035603139

0.329220086 0.040369871

0.365056223 0.044764197

0.394860991 0.048418939

0.415165574 0.050908743

0.422170589 0.051767717

0.432378334 0.053019419

0.463537849 0.056840284

0.518865025 0.063624655

0.600662667 0.073654906

0.709919082 0.087052228

0.845933168 0.103730649

1.006009613 0.123359662

1.185269389 0.145340989

1.376617092 0.168804569

1.57089737 0.192627751

1.757257752 0.215479773

1.923715606 0.235891292

2.057904577 0.252345912

2.147953018 0.2633879

2.183426603 0.267737768

2.210600807 0.271069944

2.305318551 0.282684494

2.468677911 0.302716067

2 ( ) ( )

i

f x f b



  



 
2.69762817 0.330790577

2.984939625 0.366021497

3.319515987 0.407048169

3.687036886 0.452114591

4.07088369 0.499182941

4.453271489 0.546072383

4.816487574 0.590610938

5.144124944 0.630786732

5.422199779 0.664885032

5.640054509 0.691598978

5.790971281 0.710104807

5.872451503 0.720096135

5.886151672 0.721776088

5.934803533 0.727741912

6.037256897 0.740305026

6.182677261 0.75813687

6.358885886 0.779744056

6.553310512 0.803584937

6.753864422 0.828177409

6.949686815 0.852189688

7.131698239 0.874508429

7.29294795 0.894281312

7.42875259 0.91093405

7.536645133 0.92416413

7.616167748 0.933915411

7.668551307 0.940338827

7.696327517 0.943744822

7.702917735 0.944552933

7.713598947 0.945862693

7.737496104 0.948793028

7.770701403 0.952864753

7.809669884 0.957643175

7.851360089 0.962755342

7.893306 0.967898865

7.933630768 0.972843599

7.971015373 0.977427802

8.004636027 0.981550459

8.034083345 0.98516137

8.059274473 0.988250375

8.080366939 0.990836791

8.097680421 0.992959818

8.111630187 0.994670377

8.12267386 0.996024582

8.131271547 0.997078854

8.137858234 0.997886532

8.142826648 0.998495772

8.1465185 0.998948477

8.149222003 0.999279988

8.151173741 0.999519316

8.15256326 0.999689703

8.153539092 0.999809362

8.154215266 0.999892276
8.154677657 0.999948976

8.15498977 0.999987248

8.155093764 1

410.8587159
Appendix E-6a (i): Liquid Hg Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Yes Liquid no 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86

YES Yes Liquid no 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86

YES Yes Liquid no 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

ICR Phase II - ERT ERT Mercury (Hg) ET 1 11/17/2009

ICR Phase II - ERT ERT Mercury (Hg) ET 2 11/17/2009

ICR Phase II - ERT ERT Mercury (Hg) ET 3 11/18/2009
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

DLL 7.64901E-08 -16.38610387 1

DLL 6.55708E-08 -16.5401361 1

DLL 6.92154E-08 -16.48604218 1
Appendix E-6a (ii): Liquid Hg Test Averages a

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -16.47076072

Variance of natural log of 

test runs (σ2) 0.006106624

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.098569087

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.000112558

Flatness of z distribution 

(β2z) 27530.60324

Skewness of z distribution 

(√β1z) 0.135834594
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815117 0.999274587 0.996005443

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 7.04962E-08

exp (2μ + σ2) 4.96971E-15

exp (σ2) - 1 0.006125307

(σ2/n) + [σ4/(2(n - 1))] 0.002044864

Square root term 1.35198E-08

Confidence Level 99% 99.9% 99.5%

UPL 8.62E-08 8.98E-08 8.76E-08

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 9.33E-01 8.46E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-6a (ii): Liquid Hg Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Liquid 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86 ICR Phase II - ERT ERT

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Mercury (Hg) 7.04254E-08 -16.46871128 3 2 ET No. 2 Distillate
Appendix E-6a (iii): Liquid Hg Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 27530.603 0.1358346

1.28188E-05 -5 =f(a) 548256.61

5.12823E-05 1 -4.899 498946.16

0.000108251 2 -4.798 452865.28

0.000191536 3 -4.697 409876.45

0.000311692 4 -4.596 369845.03

0.000482726 5 -4.495 332639.23

0.000722867 6 -4.394 298130.14

0.001055355 7 -4.293 266191.7

0.001509165 8 -4.192 236700.72

0.00211954 9 -4.091 209536.88

0.002928187 10 -3.99 184582.72

0.003982919 11 -3.889 161723.64

0.005336519 12 -3.788 140847.91

0.007044544 13 -3.687 121846.67

0.009161835 14 -3.586 104613.91

0.011737492 15 -3.485 89046.501

0.014808199 16 -3.384 75044.164

0.018389881 17 -3.283 62509.494

0.022467943 18 -3.182 51347.945

0.026986517 19 -3.081 41467.84

0.031837534 20 -2.98 32780.363

0.036850687 21 -2.879 25199.565

0.041785689 22 -2.778 18642.36

0.046328453 23 -2.677 13028.527

0.050092894 24 -2.576 8280.7092

0.052629998 25 -2.475 4324.4153

0.053445443 26 -2.374 1088.0178

0.0548644 27 -2.273 -1497.246

0.059012917 28 -2.172 -3497.275

0.066324679 29 -2.071 -4975.103

0.077122563 30 -1.97 -5990.898

0.091567527 31 -1.869 -6601.966

0.109610469 32 -1.768 -6862.747

0.130952528 33 -1.667 -6824.816

0.155019526 34 -1.566 -6536.885

0.180955855 35 -1.465 -6044.8

0.207641942 36 -1.364 -5391.543

0.233737615 37 -1.263 -4617.231

0.257751237 38 -1.162 -3759.118

0.278131683 39 -1.061 -2851.593

0.293377366 40 -0.96 -1926.178

0.302153935 41 -0.859 -1011.533

0.303410369 42 -0.758 -133.4539

0.310338482 43 -0.657 685.12995

0.325649424 44 -0.556 1424.1525

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.349028942 45 -0.455 2066.4126

0.379643588 46 -0.354 2597.5735

0.416176692 47 -0.253 3006.163

0.456905639 48 -0.152 3283.5735

0.499814819 49 -0.051 3424.0618

0.542734784 50 0.05 3424.7494

0.583495319 51 0.151 3285.6223

0.620078589 52 0.252 3009.5309

0.650758491 53 0.353 2602.1903

0.674213921 54 0.454 2072.18

0.689606427 55 0.555 1430.9442

0.696616614 56 0.656 692.79138

0.69779534 57 0.757 -125.1052

0.706502808 58 0.858 -1002.708

0.721691322 59 0.959 -1917.114

0.742028755 60 1.06 -2842.558

0.766014575 61 1.161 -3750.408

0.79209758 62 1.262 -4609.167

0.818785055 63 1.363 -5384.476

0.844734947 64 1.464 -6039.11

0.868825249 65 1.565 -6532.979

0.890197622 66 1.666 -6823.13

0.908275107 67 1.767 -6863.743

0.922756227 68 1.868 -6606.136

0.933589599 69 1.969 -5998.762

0.940934343 70 2.07 -4987.208

0.945111995 71 2.171 -3514.197

0.946555402 72 2.272 -1519.588

0.947351452 73 2.373 1059.6234

0.949874194 74 2.474 4289.3086

0.953628969 75 2.575 8238.2022

0.95816621 76 2.676 12977.903

0.963099148 77 2.777 18582.876

0.968112962 78 2.878 25130.448

0.972966647 79 2.979 32700.813

0.977489236 80 3.08 41377.028

0.981572092 81 3.181 51245.016

0.985158886 82 3.282 62393.561

0.988234669 83 3.383 74914.317

0.990815117 84 3.484 88901.797

0.992936752 85 3.585 104453.38

0.99464859 86 3.686 121669.32

0.996005443 87 3.787 140652.71

0.997062884 88 3.888 161509.54

0.997873733 89 3.989 184348.64

0.998485863 90 4.09 209281.71

0.998941045 91 4.191 236423.32

0.999274587 92 4.292 265890.91

0.999515522 93 4.393 297804.77

0.999687145 94 4.494 332288.05

0.999807731 95 4.595 369466.79

0.999891325 96 4.696 409469.88
0.999948512 97 4.797 452429.07

0.999987129 98 4.898 498478.97 1 99 4.999 547757.08
distribution of Z

Normal 

distribution

1.48672E-06 0.815103798

2.45094E-06 1.222886986

3.9995E-06 1.811235912

6.46025E-06 2.647903062

1.03291E-05 3.820162012

1.63472E-05 5.437735836

2.56093E-05 7.634892443

3.97118E-05 10.57094256

6.09553E-05 14.4281521

9.26132E-05 19.40587792

0.000139285 25.70959942

0.000207351 33.53350823

0.000305546 43.0355021

0.000445674 54.30388053

0.000643469 67.31582073

0.000919619 81.88885998

0.001300942 97.62811784

0.001821704 113.8737855

0.002525035 129.6553359

0.003464389 143.6607235

0.004704958 154.230217

0.006324913 159.3850515

0.008416337 156.9003911

0.011085658 144.4297986

0.014453386 119.6842907

0.018652949 80.66309792

0.023828414 25.92573813

0.030130931 -45.11342599

0.03771375 -131.8953661

0.046725789 -232.4656096

0.057303789 -343.3011744

0.069563239 -459.2541623

0.083588399 -573.6460508

0.099421884 -678.5360973

0.117054396 -765.1711284

0.136415346 -824.6034593

0.157365126 -848.4407981

0.179689839 -829.6695398

0.203099244 -763.474105

0.227228529 -647.9631899

0.251644341 -484.7117301

0.275855243 -279.0367464

0.299326439 -39.94628082

0.321498297 220.2681117

0.341807853 486.7865215



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 743.313816

0.37471238 973.3429509

0.386376486 1161.510695

0.394360216 1294.910742

0.398423793 1364.227691

0.398443914 1364.570567

0.394419966 1295.91504

0.386474058 1163.105632

0.374844865 975.417679

0.359875719 745.7272826

0.34199778 489.3797357

0.32170943 222.8775199

0.299553264 -37.4756768

0.276092166 -276.8398012

0.25188591 -482.894127

0.227469632 -646.5956626

0.203335281 -762.5901972

0.17991684 -829.2667933

0.157579839 -848.484909

0.136615273 -825.0346802

0.117237788 -765.9120441

0.099587708 -679.4998657

0.083736272 -574.7442738

0.069693339 -460.4037068

0.05741676 -344.4294737

0.046822635 -233.5142017

0.037795734 -132.8216476

0.030199481 -45.89078025

0.023885038 25.30914448

0.018699163 80.20647975

0.014490659 119.37698

0.011115369 144.2541846

0.008439746 156.8347579

0.006343145 159.4060844

0.004718997 154.3150352

0.003475077 143.7883757

0.002533081 129.8077623

0.001827693 114.0363018

0.001305351 97.78950541

0.000922829 82.04116279

0.00064578 67.45394873

0.00044732 54.42510898

0.000306705 43.13894019

0.000208159 33.61959106

0.000139842 25.7796389

9.29928E-05 19.46169146

6.12113E-05 14.47177489

3.98826E-05 10.60441964

2.5722E-05 7.660140844

1.64209E-05 5.456464015

1.03767E-05 3.833833094

6.49066E-06 2.657729244
4.01874E-06 1.818193153

2.46298E-06 1.227741312

1.49417E-06 0.818442732
Absolute values

0.815103798 0.041162742

1.222886986 0.123511586

1.811235912 0.182934827

2.647903062 0.267438209

3.820162012 0.385836363

5.437735836 0.549211319

7.634892443 0.771124137

10.57094256 1.067665198

14.4281521 1.457243362

19.40587792 1.95999367

25.70959942 2.596669541

33.53350823 3.386884332

43.0355021 4.346585712

54.30388053 5.484691933

67.31582073 6.798897894

81.88885998 8.270774858

97.62811784 9.860439902

113.8737855 11.50125234

129.6553359 13.09518893

143.6607235 14.50973308

154.230217 15.57725192

159.3850515 16.09789021

156.9003911 15.8469395

144.4297986 14.58740966

119.6842907 12.08811336

80.66309792 8.14697289

25.92573813 2.618499551

45.11342599 4.556456025

131.8953661 13.32143197

232.4656096 23.47902656

343.3011744 34.67341862

459.2541623 46.3846704

573.6460508 57.93825113

678.5360973 68.53214582

765.1711284 77.28228397

824.6034593 83.28494939

848.4407981 85.69252061

829.6695398 83.79662352

763.474105 77.11088461

647.9631899 65.44428218

484.7117301 48.95588474

279.0367464 28.18271139

39.94628082 4.034574363

220.2681117 22.24707928

486.7865215 49.16543868



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
743.313816 75.07469542

973.3429509 98.30763804

1161.510695 117.3125802

1294.910742 130.785985

1364.227691 137.7869968

1364.570567 137.8216273

1295.91504 130.887419

1163.105632 117.4736688

975.417679 98.51718558

745.7272826 75.31845554

489.3797357 49.42735331

222.8775199 22.51062951

37.4756768 3.785043357

276.8398012 27.96081992

482.894127 48.77230683

646.5956626 65.30616193

762.5901972 77.02160992

829.2667933 83.75594613

848.484909 85.69697581

825.0346802 83.3285027

765.9120441 77.35711645

679.4998657 68.62948643

574.7442738 58.04917165

460.4037068 46.50077439

344.4294737 34.78737684

233.5142017 23.58493437

132.8216476 13.41498641

45.89078025 4.634968805

25.30914448 2.556223593

80.20647975 8.100854454

119.37698 12.05707498

144.2541846 14.56967265

156.8347579 15.84031054

159.4060844 16.10001452

154.3150352 15.58581856

143.7883757 14.52262594

129.8077623 13.11058399

114.0363018 11.51766648

97.78950541 9.876740046

82.04116279 8.286157441

67.45394873 6.812848821

54.42510898 5.496936007

43.13894019 4.357032959

33.61959106 3.395578698

25.7796389 2.603743529

19.46169146 1.965630837

14.47177489 1.461649264

10.60441964 1.071046383

7.660140844 0.773674225

5.456464015 0.551102866

3.833833094 0.387217143

2.657729244 0.268430654
1.818193153 0.183637508

1.227741312 0.124001873

0.818442732 0.041331358
Cumulative normalization

0.041162742 1.28188E-05

0.164674327 5.12823E-05

0.347609154 0.000108251

0.615047364 0.000191536

1.000883727 0.000311692

1.550095046 0.000482726

2.321219183 0.000722867

3.388884381 0.001055355

4.846127744 0.001509165

6.806121414 0.00211954

9.402790955 0.002928187

12.78967529 0.003982919

17.136261 0.005336519

22.62095293 0.007044544

29.41985083 0.009161835

37.69062568 0.011737492

47.55106559 0.014808199

59.05231792 0.018389881

72.14750685 0.022467943

86.65723993 0.026986517

102.2344918 0.031837534

118.3323821 0.036850687

134.1793216 0.041785689

148.7667312 0.046328453

160.8548446 0.050092894

169.0018175 0.052629998

171.620317 0.053445443

176.176773 0.0548644

189.498205 0.059012917

212.9772316 0.066324679

247.6506502 0.077122563

294.0353206 0.091567527

351.9735717 0.109610469

420.5057175 0.130952528

497.7880015 0.155019526

581.0729509 0.180955855

666.7654715 0.207641942

750.562095 0.233737615

827.6729796 0.257751237

893.1172618 0.278131683

942.0731466 0.293377366

970.2558579 0.302153935

974.2904323 0.303410369

996.5375116 0.310338482

1045.70295 0.325649424

2 ( ) ( )

i

f x f b



  



 
1120.777646 0.349028942

1219.085284 0.379643588

1336.397864 0.416176692

1467.183849 0.456905639

1604.970846 0.499814819

1742.792473 0.542734784

1873.679892 0.583495319

1991.153561 0.620078589

2089.670746 0.650758491

2164.989202 0.674213921

2214.416555 0.689606427

2236.927185 0.696616614

2240.712228 0.69779534

2268.673048 0.706502808

2317.445355 0.721691322

2382.751517 0.742028755

2459.773127 0.766014575

2543.529073 0.79209758

2629.226049 0.818785055

2712.554551 0.844734947

2789.911668 0.868825249

2858.541154 0.890197622

2916.590326 0.908275107

2963.0911 0.922756227

2997.878477 0.933589599

3021.463411 0.940934343

3034.878398 0.945111995

3039.513367 0.946555402

3042.06959 0.947351452

3050.170445 0.949874194

3062.22752 0.953628969

3076.797192 0.95816621

3092.637503 0.963099148

3108.737517 0.968112962

3124.323336 0.972966647

3138.845962 0.977489236

3151.956546 0.981572092

3163.474212 0.985158886

3173.350952 0.988234669

3181.63711 0.990815117

3188.449959 0.992936752

3193.946895 0.99464859

3198.303928 0.996005443

3201.699506 0.997062884

3204.30325 0.997873733

3206.268881 0.998485863

3207.73053 0.998941045

3208.801576 0.999274587

3209.575251 0.999515522

3210.126353 0.999687145

3210.513571 0.999807731

3210.782001 0.999891325
3210.965639 0.999948512

3211.089641 0.999987129

3211.130972 1

162147.6899
Appendix E-6b (i): Liquid HCl Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Yes Liquid no 2 TNInvistaChattanooga EU003 - Vaporizer #2

YES Yes Liquid no 2 TNInvistaChattanooga EU003 - Vaporizer #2

YES Yes Liquid no 2 TNInvistaChattanooga EU003 - Vaporizer #2

YES Liquid no 2 TNInvistaChattanooga EU003 - Vaporizer #2

YES Liquid no 2 TNInvistaChattanooga EU003 - Vaporizer #2

YES Liquid no 2 TNInvistaChattanooga EU003 - Vaporizer #2
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

ICR Phase I Inorganic HAP Vap #2 Hydrogen Chloride (HCl) ET Sample #1 8/31/2006

ICR Phase I Inorganic HAP Vap #2 Hydrogen Chloride (HCl) ET Sample #2 8/31/2006

ICR Phase I Inorganic HAP Vap #2 Hydrogen Chloride (HCl) ET Sample #3 8/31/2006

ICR Phase II - Templates HCl and HF Hydrogen Chloride (HCl) ET Sample #1 7/29/2009

ICR Phase II - Templates HCl and HF Hydrogen Chloride (HCl) ET Sample #2 7/30/2009

ICR Phase II - Templates HCl and HF Hydrogen Chloride (HCl) ET Sample #3 7/30/2009
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

0.000195 -8.542510999 0

0.000209 -8.473176306 0

0.000128 -8.963480294 0

ND 0.000618 -7.389022101 1

ND 0.000619 -7.387405285 1

ND 0.000624 -7.37936019 1
Appendix E-6b (ii): Liquid HCl Test Averages a

In top 

12%?

Min Test 

Avg?

YES Yes

YES

Number of sources with 

test data 1

n 6

n-1 5

Average of natural log of 

test run values (μ) -8.022492529

Variance of natural log of 

test runs (σ2) 0.515446569

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 22.6592162

Denominator for 

calculation of flatness of z 

distribution (β2z) 1.364389692

Flatness of z distribution 

(β2z) 18.60758384

Skewness of z distribution 

(√β1z) 1.742121545
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990745807 0.999296106 0.996045013

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.000424428

exp (2μ + σ2) 1.80139E-07

exp (σ2) - 1 0.674386065

(σ2/n) + [σ4/(2(n - 1))] 0.112476278

Square root term 0.00073946

Confidence Level 99% 99.9% 99.5%

UPL 1.28E-03 1.48E-03 1.36E-03

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -5.27E-02 -2.34E-01

SE Skewness 1.00 1.00

Skewness Test normal normal

Kurtosis = -3.17E+00 -2.58E+00

SE Kurtosis 2.00 2.00

Kurtosis Test normal normal

Number of test runs = 6 6
ndix E-6b (ii): Liquid HCl Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Liquid 2 TNInvistaChattanoogaEU003 - Vaporizer #2 ICR Phase I Inorganic HAP Vap #2

N/A Liquid 2 TNInvistaChattanoogaEU003 - Vaporizer #2 ICR Phase II - Templates HCl and HF

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Hydrogen Chloride (HCl) 0.000177333 -8.637479357 3 2 ET /No. 2 Distillate/

Hydrogen Chloride (HCl) 0.000620333 -7.38525359 3 2 ET No. 2 Distillate
Appendix E-6b (iii): Liquid HCl Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 18.607584 1.7421215

9.98077E-06 -5 =f(a) 279.91215

3.98447E-05 1 -4.899 254.02137

8.39448E-05 2 -4.798 229.87464

0.000148212 3 -4.697 207.39577

0.00024062 4 -4.596 186.51022

0.000371684 5 -4.495 167.14506

0.000554997 6 -4.394 149.229

0.000807757 7 -4.293 132.69237

0.001151212 8 -4.192 117.46711

0.001610941 9 -4.091 103.48679

0.002216826 10 -3.99 90.686616

0.003002595 11 -3.889 79.003406

0.004004718 12 -3.788 68.375605

0.005260513 13 -3.687 58.743284

0.006805266 14 -3.586 50.048137

0.008668246 15 -3.485 42.233482

0.010867572 16 -3.384 35.244262

0.013404008 17 -3.283 29.027041

0.016253929 18 -3.182 23.530012

0.019361929 19 -3.081 18.702989

0.022633749 20 -2.98 14.497411

0.025930463 21 -2.879 10.86634

0.029065032 22 -2.778 7.7644632

0.031802513 23 -2.677 5.1480925

0.033865155 24 -2.576 2.975163

0.034943511 25 -2.475 1.205234

0.035172691 26 -2.374 -0.200511

0.037021602 27 -2.273 -1.279264

0.040760107 28 -2.172 -2.066593

0.046579514 29 -2.071 -2.596443

0.054553844 30 -1.97 -2.901132

0.064601981 31 -1.869 -3.011358

0.076454807 32 -1.768 -2.956192

0.089631874 33 -1.667 -2.76308

0.10343209 34 -1.566 -2.457847

0.116942288 35 -1.465 -2.064691

0.129066357 36 -1.364 -1.606189

0.138575831 37 -1.263 -1.10329

0.14418066 38 -1.162 -0.575322

0.144616494 39 -1.061 -0.039987

0.15049051 40 -0.96 0.4866364

0.163591394 41 -0.859 0.9900931

0.184518677 42 -0.758 1.4575532

0.213477024 43 -0.657 1.8778105

0.250224037 44 -0.556 2.2412829

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.29405029 45 -0.455 2.5400125

0.343795924 46 -0.354 2.7676655

0.397904649 47 -0.253 2.9195323

0.454512224 48 -0.152 2.9925273

0.511562855 49 -0.051 2.9851891

0.566943886 50 0.05 2.8976806

0.618627073 51 0.151 2.7317884

0.664803903 52 0.252 2.4909238

0.704002961 53 0.353 2.1801217

0.73517919 54 0.454 1.8060414

0.757767823 55 0.555 1.3769664

0.771699413 56 0.656 0.9028042

0.777376289 57 0.757 0.3950864

0.779138067 58 0.858 -0.133031

0.787194122 59 0.959 -0.666769

0.800175245 60 1.06 -1.189722

0.816598635 61 1.161 -1.683863

0.834976742 62 1.262 -2.129539

0.853914734 63 1.363 -2.505474

0.87218963 64 1.464 -2.788768

0.888806642 65 1.565 -2.954895

0.903030943 66 1.666 -2.977706

0.914395588 67 1.767 -2.82943

0.922688427 68 1.868 -2.480668

0.927922345 69 1.969 -1.900399

0.930294017 70 2.07 -1.055979

0.930451494 71 2.171 0.0868627

0.932717104 72 2.272 1.5640195

0.936627374 73 2.373 3.4130092

0.941715715 74 2.474 5.6729737

0.947543693 75 2.575 8.3846788

0.953723429 76 2.676 11.590515

0.959931294 77 2.777 15.334496

0.965913777 78 2.878 19.662261

0.971486917 79 2.979 24.621072

0.976530905 80 3.08 30.259816

0.980981494 81 3.181 36.629003

0.984819716 82 3.282 43.780769

0.988061167 83 3.383 51.768873

0.990745807 84 3.484 60.648698

0.992928925 85 3.585 70.47725

0.994673632 86 3.686 81.313163

0.996045013 87 3.787 93.216691

0.997105891 88 3.888 106.24971

0.997914018 89 3.989 120.47573

0.99852048 90 4.09 135.95988

0.998969029 91 4.191 152.76891

0.999296106 92 4.292 170.97119

0.999531315 93 4.393 190.63673

0.999698171 94 4.494 211.83715

0.999814964 95 4.595 234.6457

0.999895643 96 4.696 259.13725
0.999950656 97 4.797 285.38829

0.999987691 98 4.898 313.47696 1 99 4.999 343.48299
distribution of Z

Normal 

distribution

1.48672E-06 0.000416151

2.45094E-06 0.000622591

3.9995E-06 0.000919384

6.46025E-06 0.001339828

1.03291E-05 0.00192648

1.63472E-05 0.002732362

2.56093E-05 0.003821644

3.97118E-05 0.005269448

6.09553E-05 0.007160237

9.26132E-05 0.009584241

0.000139285 0.012631283

0.000207351 0.016381411

0.000305546 0.020891886

0.000445674 0.026180349

0.000643469 0.032204431

0.000919619 0.038838716

0.001300942 0.045850746

0.001821704 0.052878673

0.002525035 0.059414094

0.003464389 0.064794428

0.004704958 0.068209701

0.006324913 0.06872865

0.008416337 0.065348342

0.011085658 0.057069996

0.014453386 0.043001181

0.018652949 0.022481168

0.023828414 -0.004777855

0.030130931 -0.038545408

0.03771375 -0.077938973

0.046725789 -0.121320831

0.057303789 -0.166245879

0.069563239 -0.209479826

0.083588399 -0.247103316

0.099421884 -0.274710612

0.117054396 -0.287701775

0.136415346 -0.281655593

0.157365126 -0.252758099

0.179689839 -0.198249987

0.203099244 -0.116847392

0.227228529 -0.009086117

0.251644341 0.122459292

0.275855243 0.273122379

0.299326439 0.436284215

0.321498297 0.603712875

0.341807853 0.766088092



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 0.91367346

0.37471238 1.037078527

0.386376486 1.12803862

0.394360216 1.180133706

0.398423793 1.189370377

0.398443914 1.154563184

0.394419966 1.077471903

0.386474058 0.962677415

0.374844865 0.817207411

0.359875719 0.649950454

0.34199778 0.470919456

0.32170943 0.290440614

0.299553264 0.118349406

0.276092166 -0.036728887

0.25188591 -0.167949647

0.227469632 -0.270625628

0.203335281 -0.34238874

0.17991684 -0.383139955

0.157579839 -0.394812229

0.136615273 -0.38098825

0.117237788 -0.346425306

0.099587708 -0.296542947

0.083736272 -0.236925903

0.069693339 -0.172886031

0.05741676 -0.109114782

0.046822635 -0.049443726

0.037795734 0.003283039

0.030199481 0.047232579

0.023885038 0.081519856

0.018699163 0.106079857

0.014490659 0.121499523

0.011115369 0.12883285

0.008439746 0.129419256

0.006343145 0.124720577

0.004718997 0.116186761

0.003475077 0.105155201

0.002533081 0.092784222

0.001827693 0.080017824

0.001305351 0.067576569

0.000922829 0.055968381

0.00064578 0.045512828

0.00044732 0.036372997

0.000306705 0.028590058

0.000208159 0.022116786

0.000139842 0.016847539

9.29928E-05 0.01264329

6.12113E-05 0.009351181

3.98826E-05 0.006818775

2.5722E-05 0.004903562

1.64209E-05 0.003478554

1.03767E-05 0.00243484

6.49066E-06 0.001681971
4.01874E-06 0.0011469

2.46298E-06 0.000772086

1.49417E-06 0.000513222
Absolute values

0.000416151 2.10156E-05

0.000622591 6.28817E-05

0.000919384 9.28578E-05

0.001339828 0.000135323

0.00192648 0.000194575

0.002732362 0.000275969

0.003821644 0.000385986

0.005269448 0.000532214

0.007160237 0.000723184

0.009584241 0.000968008

0.012631283 0.00127576

0.016381411 0.001654522

0.020891886 0.00211008

0.026180349 0.002644215

0.032204431 0.003252647

0.038838716 0.00392271

0.045850746 0.004630925

0.052878673 0.005340746

0.059414094 0.006000824

0.064794428 0.006544237

0.068209701 0.00688918

0.06872865 0.006941594

0.065348342 0.006600183

0.057069996 0.00576407

0.043001181 0.004343119

0.022481168 0.002270598

0.004777855 0.000482563

0.038545408 0.003893086

0.077938973 0.007871836

0.121320831 0.012253404

0.166245879 0.016790834

0.209479826 0.021157462

0.247103316 0.024957435

0.274710612 0.027745772

0.287701775 0.029057879

0.281655593 0.028447215

0.252758099 0.025528568

0.198249987 0.020023249

0.116847392 0.011801587

0.009086117 0.000917698

0.122459292 0.012368388

0.273122379 0.02758536

0.436284215 0.044064706

0.603712875 0.060975

0.766088092 0.077374897



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
0.91367346 0.092281019

1.037078527 0.104744931

1.12803862 0.113931901

1.180133706 0.119193504

1.189370377 0.120126408

1.154563184 0.116610882

1.077471903 0.108824662

0.962677415 0.097230419

0.817207411 0.082537949

0.649950454 0.065644996

0.470919456 0.047562865

0.290440614 0.029334502

0.118349406 0.01195329

0.036728887 0.003709618

0.167949647 0.016962914

0.270625628 0.027333188

0.34238874 0.034581263

0.383139955 0.038697135

0.394812229 0.039876035

0.38098825 0.038479813

0.346425306 0.034988956

0.296542947 0.029950838

0.236925903 0.023929516

0.172886031 0.017461489

0.109114782 0.011020593

0.049443726 0.004993816

0.003283039 0.000331587

0.047232579 0.00477049

0.081519856 0.008233505

0.106079857 0.010714066

0.121499523 0.012271452

0.12883285 0.013012118

0.129419256 0.013071345

0.124720577 0.012596778

0.116186761 0.011734863

0.105155201 0.010620675

0.092784222 0.009371206

0.080017824 0.0080818

0.067576569 0.006825233

0.055968381 0.005652806

0.045512828 0.004596796

0.036372997 0.003673673

0.028590058 0.002887596

0.022116786 0.002233795

0.016847539 0.001701601

0.01264329 0.001276972

0.009351181 0.000944469

0.006818775 0.000688696

0.004903562 0.00049526

0.003478554 0.000351334

0.00243484 0.000245919

0.001681971 0.000169879
0.0011469 0.000115837

0.000772086 7.79807E-05

0.000513222 2.59177E-05
Cumulative normalization

2.10156E-05 9.98077E-06

8.38973E-05 3.98447E-05

0.000176755 8.39448E-05

0.000312078 0.000148212

0.000506652 0.00024062

0.000782621 0.000371684

0.001168607 0.000554997

0.001700821 0.000807757

0.002424005 0.001151212

0.003392014 0.001610941

0.004667773 0.002216826

0.006322296 0.003002595

0.008432376 0.004004718

0.011076591 0.005260513

0.014329239 0.006805266

0.018251949 0.008668246

0.022882874 0.010867572

0.02822362 0.013404008

0.034224444 0.016253929

0.040768681 0.019361929

0.047657861 0.022633749

0.054599455 0.025930463

0.061199637 0.029065032

0.066963707 0.031802513

0.071306826 0.033865155

0.073577424 0.034943511

0.074059987 0.035172691

0.077953074 0.037021602

0.08582491 0.040760107

0.098078314 0.046579514

0.114869148 0.054553844

0.13602661 0.064601981

0.160984045 0.076454807

0.188729817 0.089631874

0.217787696 0.10343209

0.246234911 0.116942288

0.271763479 0.129066357

0.291786728 0.138575831

0.303588314 0.14418066

0.304506012 0.144616494

0.3168744 0.15049051

0.344459761 0.163591394

0.388524466 0.184518677

0.449499467 0.213477024

0.526874364 0.250224037

2 ( ) ( )

i

f x f b



  



 
0.619155383 0.29405029

0.723900315 0.343795924

0.837832215 0.397904649

0.95702572 0.454512224

1.077152128 0.511562855

1.193763009 0.566943886

1.302587671 0.618627073

1.39981809 0.664803903

1.482356039 0.704002961

1.548001035 0.73517919

1.5955639 0.757767823

1.624898402 0.771699413

1.636851692 0.777376289

1.640561309 0.779138067

1.657524224 0.787194122

1.684857412 0.800175245

1.719438675 0.816598635

1.75813581 0.834976742

1.798011846 0.853914734

1.836491659 0.87218963

1.871480615 0.888806642

1.901431452 0.903030943

1.925360969 0.914395588

1.942822458 0.922688427

1.953843051 0.927922345

1.958836867 0.930294017

1.959168454 0.930451494

1.963938944 0.932717104

1.97217245 0.936627374

1.982886515 0.941715715

1.995157967 0.947543693

2.008170085 0.953723429

2.02124143 0.959931294

2.033838208 0.965913777

2.045573071 0.971486917

2.056193746 0.976530905

2.065564953 0.980981494

2.073646753 0.984819716

2.080471986 0.988061167

2.086124793 0.990745807

2.090721588 0.992928925

2.094395261 0.994673632

2.097282857 0.996045013

2.099516652 0.997105891

2.101218254 0.997914018

2.102495226 0.99852048

2.103439695 0.998969029

2.104128392 0.999296106

2.104623651 0.999531315

2.104974985 0.999698171

2.105220904 0.999814964

2.105390783 0.999895643
2.10550662 0.999950656

2.105584601 0.999987691

2.105610519 1

104.69544
Appendix E-6c (i): Heavy Liquid Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Yes Heavy Liquidno 2 MNGPDuluth EU33 Boiler #3

YES Yes Heavy Liquidno 2 MNGPDuluth EU33 Boiler #3

YES Yes Heavy Liquidno 2 MNGPDuluth EU33 Boiler #3
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

ICR Phase II - ERT ERT Particulate Matter (PM) filterable ET 1 9/10/2009

ICR Phase II - ERT ERT Particulate Matter (PM) filterable ET 2 9/10/2009

ICR Phase II - ERT ERT Particulate Matter (PM) filterable ET 3 9/10/2009
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

ADL 0.011530479 -4.462761383 0

ADL 0.011104417 -4.500412337 0

ADL 0.010416835 -4.564331998 0
Appendix E-6c (ii): Heavy Liquid Filterable PM 

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -4.509168572

Variance of natural log of 

test runs (σ2) 0.002636651

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.042346748

Denominator for 

calculation of flatness of z 

distribution (β2z) 2.09109E-05

Flatness of z distribution 

(β2z) 145493.2115

Skewness of z distribution 

(√β1z) 0.089074897
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815034 0.999274577 0.996005398

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.01102213

exp (2μ + σ2) 0.000121487

exp (σ2) - 1 0.00264013

(σ2/n) + [σ4/(2(n - 1))] 0.000880622

Square root term 0.001387475

Confidence Level 99% 99.9% 99.5%

UPL 1.26E-02 1.30E-02 1.28E-02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -6.81E-01 -7.45E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-6c (ii): Heavy Liquid Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Heavy Liquid 2 MNGPDuluth EU33 Boiler #3 ICR Phase II - ERT ERT

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.011017244 -4.508293615 3 2 ET No. 6 Residual oil
Appendix E-6c (iii): Heavy Liquid Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 145493.21 0.0890749

1.28191E-05 -5 =f(a) 2897679.4

5.12835E-05 1 -4.899 2637060.7

0.000108254 2 -4.798 2393511.1

0.00019154 3 -4.697 2166303.8

0.000311699 4 -4.596 1954727.2

0.000482737 5 -4.495 1758084.7

0.000722883 6 -4.394 1575695

0.001055379 7 -4.293 1406891.8

0.001509199 8 -4.192 1251024.1

0.002119588 9 -4.091 1107456

0.002928252 10 -3.99 975566.56

0.003983007 11 -3.889 854750.2

0.005336635 12 -3.788 744416.37

0.007044694 13 -3.687 643989.68

0.009162026 14 -3.586 552909.89

0.011737732 15 -3.485 470631.9

0.014808492 16 -3.384 396625.74

0.018390231 17 -3.283 330376.57

0.022468347 18 -3.182 271384.72

0.026986969 19 -3.081 219165.63

0.031838018 20 -2.98 173249.9

0.036851173 21 -2.879 133183.26

0.041786131 22 -2.778 98526.585

0.046328783 23 -2.677 68855.879

0.050093017 24 -2.576 43762.299

0.052629787 25 -2.475 22852.133

0.053444734 26 -2.374 5746.8144

0.054864396 27 -2.273 -7917.087

0.059013873 28 -2.172 -18487.86

0.066326899 29 -2.071 -26298.66

0.077126405 30 -1.97 -31667.49

0.0915734 31 -1.869 -34897.22

0.109618834 32 -1.768 -36275.58

0.13096389 33 -1.667 -36075.17

0.155034432 34 -1.566 -34553.43

0.18097488 35 -1.465 -31952.68

0.207665682 36 -1.364 -28500.09

0.233766674 37 -1.263 -24407.68

0.257786212 38 -1.162 -19872.36

0.278173155 39 -1.061 -15075.87

0.293425882 40 -0.96 -10184.82

0.302210001 41 -0.859 -5350.693

0.303474438 42 -0.758 -709.8149

0.310394156 43 -0.657 3616.6196

0.325696377 44 -0.556 7522.5574

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.349066918 45 -0.455 10917.085

0.3796724 46 -0.354 13724.428

0.416196223 47 -0.253 15883.954

0.456915841 48 -0.152 17350.168

0.499815705 49 -0.051 18092.715

0.542726429 50 0.05 18096.381

0.583477856 51 0.151 17361.091

0.620052201 52 0.252 15901.91

0.650723413 53 0.353 13749.042

0.674170432 54 0.454 10947.833

0.689554852 55 0.555 7558.7663

0.696557317 56 0.656 3657.4657

0.697743363 57 0.757 -665.3048

0.706457717 58 0.858 -5303.642

0.721652654 59 0.959 -10136.5

0.741996025 60 1.06 -15027.7

0.765987281 61 1.161 -19825.92

0.792075212 62 1.262 -24364.69

0.818767102 63 1.363 -28462.41

0.844720905 64 1.464 -31922.35

0.86881463 65 1.565 -34532.61

0.890189959 66 1.666 -36066.18

0.908269963 67 1.767 -36280.89

0.922753199 68 1.868 -34919.45

0.93358832 69 1.969 -31709.41

0.940934487 70 2.07 -26363.19

0.945113276 71 2.171 -18578.08

0.946557575 72 2.272 -8036.202

0.94735294 73 2.373 5595.4327

0.949875167 74 2.474 22664.966

0.953629566 75 2.575 43535.677

0.958166539 76 2.676 68585.986

0.963099294 77 2.777 98209.452

0.96811299 78 2.878 132814.77

0.972966603 79 2.979 172825.79

0.977489153 80 3.08 218681.48

0.981571992 81 3.181 270835.96

0.985158785 82 3.282 329758.49

0.988234574 83 3.383 395933.47

0.990815034 84 3.484 469860.43

0.992936682 85 3.585 552054.05

0.994648533 86 3.686 643044.16

0.996005398 87 3.787 743375.69

0.997062848 88 3.888 853608.77

0.997873706 89 3.989 974318.6

0.998485844 90 4.09 1106095.6

0.998941031 91 4.191 1249545.2

0.999274577 92 4.292 1405288.2

0.999515515 93 4.393 1573960.3

0.99968714 94 4.494 1756212.4

0.999807728 95 4.595 1952710.6

0.999891323 96 4.696 2164136.2
0.999948512 97 4.797 2391185.5

0.999987129 98 4.898 2634570 1 99 4.999 2895016.2
distribution of Z

Normal 

distribution

1.48672E-06 4.30803653

2.45094E-06 6.463276987

3.9995E-06 9.572854206

6.46025E-06 13.99485745

1.03291E-05 20.19054975

1.63472E-05 28.7398452

2.56093E-05 40.35238301

3.97118E-05 55.8701591

6.09553E-05 76.25649189

9.26132E-05 102.5650271

0.000139285 135.881766

0.000207351 177.2330453

0.000305546 227.4533711

0.000445674 287.0093936

0.000643469 355.7804375

0.000919619 432.8020689

0.001300942 515.9871445

0.001821704 601.8482723

0.002525035 685.2557916

0.003464389 759.274977

0.004704958 815.1334337

0.006324913 842.372523

0.008416337 829.2329801

0.011085658 763.3127656

0.014453386 632.5134156

0.018652949 426.2596723

0.023828414 136.937474

0.030130931 -238.5492141

0.03771375 -697.2465938

0.046725789 -1228.825569

0.057303789 -1814.667003

0.069563239 -2427.563544

0.083588399 -3032.217922

0.099421884 -3586.661476

0.117054396 -4044.631346

0.136415346 -4358.836286

0.157365126 -4484.920061

0.179689839 -4385.812752

0.203099244 -4036.061165

0.227228529 -3425.667279

0.251644341 -2562.95271

0.275855243 -1476.016709

0.299326439 -212.4663672

0.321498297 1162.737051

0.341807853 2571.269187



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 3927.008534

0.37471238 5142.713237

0.386376486 6137.186342

0.394360216 6842.215847

0.398423793 7208.568022

0.398443914 7210.392764

0.394419966 6847.560839

0.386474058 6145.675613

0.374844865 5153.757963

0.359875719 3939.859355

0.34199778 2585.081303

0.32170943 1176.641211

0.299553264 -199.2942283

0.276092166 -1464.293939

0.25188591 -2553.241971

0.227469632 -3418.345813

0.203335281 -4031.308823

0.17991684 -4383.618203

0.157579839 -4485.102771

0.136615273 -4361.080411

0.117237788 -4048.526943

0.099587708 -3591.748198

0.083736272 -3038.026782

0.069693339 -2433.653127

0.05741676 -1820.651642

0.046822635 -1234.394179

0.037795734 -702.1720526

0.030199481 -242.6891165

0.023885038 133.6471234

0.018699163 423.8158797

0.014490659 630.8606569

0.011115369 762.3585449

0.008439746 828.8628586

0.006343145 842.4634075

0.004718997 815.5643623

0.003475077 759.9350648

0.002533081 686.0493565

0.001827693 602.6974243

0.001305351 516.832291

0.000922829 433.6008621

0.00064578 356.5056934

0.00044732 287.646455

0.000306705 227.9973048

0.000208159 177.6859585

0.000139842 136.2504322

9.29928E-05 102.8589212

6.12113E-05 76.48626619

3.98826E-05 56.04654068

2.5722E-05 40.48544124

1.64209E-05 28.83856245

1.03767E-05 20.26262392

6.49066E-06 14.04666964
4.01874E-06 9.609544173

2.46298E-06 6.488880287

1.49417E-06 4.325649238
Absolute values

4.30803653 0.217555845

6.463276987 0.652790976

9.572854206 0.966858275

13.99485745 1.413480602

20.19054975 2.039245525

28.7398452 2.902724365

40.35238301 4.075590684

55.8701591 5.642886069

76.25649189 7.701905681

102.5650271 10.35906774

135.881766 13.72405836

177.2330453 17.90053757

227.4533711 22.97279048

287.0093936 28.98794875

355.7804375 35.93382419

432.8020689 43.71300896

515.9871445 52.1147016

601.8482723 60.7866755

685.2557916 69.21083495

759.274977 76.68677268

815.1334337 82.32847681

842.372523 85.07962482

829.2329801 83.75253099

763.3127656 77.09458933

632.5134156 63.88385497

426.2596723 43.0522269

136.937474 13.83068487

238.5492141 24.09347062

697.2465938 70.42190598

1228.825569 124.1113824

1814.667003 183.2813673

2427.563544 245.1839179

3032.217922 306.2540101

3586.661476 362.2528091

4044.631346 408.5077659

4358.836286 440.2424648

4484.920061 452.9769261

4385.812752 442.9670879

4036.061165 407.6421777

3425.667279 345.9923951

2562.95271 258.8582238

1476.016709 149.0776876

212.4663672 21.45910309

1162.737051 117.4364421

2571.269187 259.6981879



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
3927.008534 396.6278619

5142.713237 519.4140369

6137.186342 619.8558205

6842.215847 691.0638005

7208.568022 728.0653703

7210.392764 728.2496691

6847.560839 691.6036447

6145.675613 620.713237

5153.757963 520.5295543

3939.859355 397.9257948

2585.081303 261.0932116

1176.641211 118.8407623

199.2942283 20.12871705

1464.293939 147.8936878

2553.241971 257.8774391

3418.345813 345.2529271

4031.308823 407.1621911

4383.618203 442.7454385

4485.102771 452.9953798

4361.080411 440.4691215

4048.526943 408.9012212

3591.748198 362.766568

3038.026782 306.840705

2433.653127 245.7989658

1820.651642 183.8858158

1234.394179 124.6738121

702.1720526 70.91937731

242.6891165 24.51160076

133.6471234 13.49835946

423.8158797 42.80540385

630.8606569 63.71692634

762.3585449 76.99821303

828.8628586 83.71514872

842.4634075 85.08880416

815.5643623 82.37200059

759.9350648 76.75344155

686.0493565 69.29098501

602.6974243 60.87243986

516.832291 52.20006139

433.6008621 43.79368708

356.5056934 36.00707503

287.646455 29.05229196

227.9973048 23.02772778

177.6859585 17.94628181

136.2504322 13.76129365

102.8589212 10.38875104

76.48626619 7.725112886

56.04654068 5.660700608

40.48544124 4.089029566

28.83856245 2.912694808

20.26262392 2.046525015

14.04666964 1.418713634
9.609544173 0.970563962

6.488880287 0.655376909

4.325649238 0.218445287
Cumulative normalization

0.217555845 1.28191E-05

0.87034682 5.12835E-05

1.837205095 0.000108254

3.250685697 0.00019154

5.289931222 0.000311699

8.192655587 0.000482737

12.26824627 0.000722883

17.91113234 0.001055379

25.61303802 0.001509199

35.97210576 0.002119588

49.69616412 0.002928252

67.5967017 0.003983007

90.56949218 0.005336635

119.5574409 0.007044694

155.4912651 0.009162026

199.2042741 0.011737732

251.3189757 0.014808492

312.1056512 0.018390231

381.3164861 0.022468347

458.0032588 0.026986969

540.3317356 0.031838018

625.4113604 0.036851173

709.1638914 0.041786131

786.2584808 0.046328783

850.1423357 0.050093017

893.1945626 0.052629787

907.0252475 0.053444734

931.1187181 0.054864396

1001.540624 0.059013873

1125.652007 0.066326899

1308.933374 0.077126405

1554.117292 0.0915734

1860.371302 0.109618834

2222.624111 0.13096389

2631.131877 0.155034432

3071.374342 0.18097488

3524.351268 0.207665682

3967.318356 0.233766674

4374.960533 0.257786212

4720.952929 0.278173155

4979.811152 0.293425882

5128.88884 0.302210001

5150.347943 0.303474438

5267.784385 0.310394156

5527.482573 0.325696377

2 ( ) ( )

i

f x f b



  



 
5924.110435 0.349066918

6443.524472 0.3796724

7063.380293 0.416196223

7754.444093 0.456915841

8482.509463 0.499815705

9210.759132 0.542726429

9902.362777 0.583477856

10523.07601 0.620052201

11043.60557 0.650723413

11441.53136 0.674170432

11702.62457 0.689554852

11821.46534 0.696557317

11841.59405 0.697743363

11989.48774 0.706457717

12247.36518 0.721652654

12592.61811 0.741996025

12999.7803 0.765987281

13442.52574 0.792075212

13895.52112 0.818767102

14335.99024 0.844720905

14744.89146 0.86881463

15107.65803 0.890189959

15414.49873 0.908269963

15660.2977 0.922753199

15844.18352 0.93358832

15968.85733 0.940934487

16039.7767 0.945113276

16064.28831 0.946557575

16077.78666 0.94735294

16120.59207 0.949875167

16184.30899 0.953629566

16261.30721 0.958166539

16345.02236 0.963099294

16430.11116 0.96811299

16512.48316 0.972966603

16589.2366 0.977489153

16658.52759 0.981571992

16719.40003 0.985158785

16771.60009 0.988234574

16815.39378 0.990815034

16851.40085 0.992936682

16880.45314 0.994648533

16903.48087 0.996005398

16921.42715 0.997062848

16935.18845 0.997873706

16945.5772 0.998485844

16953.30231 0.998941031

16958.96301 0.999274577

16963.05204 0.999515515

16965.96474 0.99968714

16968.01126 0.999807728

16969.42997 0.999891323
16970.40054 0.999948512

16971.05591 0.999987129

16971.27436 1

856974.0511
Appendix E-6d (i): Heavy Liquid CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

NO Yes Heavy LiquidN/A no 4 NJVinelandMuniElectric-HowardDown

NO Yes Heavy LiquidN/A no 4 NJVinelandMuniElectric-HowardDown

NO Yes Heavy LiquidN/A no 4 NJVinelandMuniElectric-HowardDown
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

Unit 9 ICR Phase II - ERT ERT CO ET1

Unit 9 ICR Phase II - ERT ERT CO ET2

Unit 9 ICR Phase II - ERT ERT CO ET3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

7/21/2009 10.31291371 2.333396868 0

7/22/2009 11.25587185 2.420889935 0

7/22/2009 10.31715471 2.333808016 0
Appendix E-6d (ii): Heavy Liquid CO Test Average

In top 

12%?

Min Test 

Avg?

Combustor 

Design

YES Yes N/A

Number of sources with 

test data 1

n 3 Step 4

n-1 2

Average of natural log of 

test run values (μ) 2.362698273

Variance of natural log of 

test runs (σ2) 0.002539744

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.040784656

Denominator for 

calculation of flatness of z 

distribution (β2z) 1.94001E-05

Flatness of z distribution 

(β2z) 156742.4753

Skewness of z distribution 

(√β1z) 0.087417708
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815032 0.999274577 0.9960054

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 10.63306138

exp (2μ + σ2) 113.0619943

exp (σ2) - 1 0.002542972

(σ2/n) + [σ4/(2(n - 1))] 0.000848194

Square root term 1.31

Confidence Level 99% 99.9% 99.5%

UPL 1.22E+01 1.25E+01 1.23E+01

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.73E+00 1.73E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
 Heavy Liquid CO Test Averages and Calculation of UPL

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab Pollutant

Heavy Liquid 4 NJVinelandMuniElectric-HowardDown Unit 9 ICR Phase II - ERT ERT CO

Test Average

Test Average - 

Rounded

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

10.62864676 11 2.36355288 3 2 ET No. 6 Residual oil
Appendix E-6d (iii): Heavy Liquid CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 156742.48 0.0874177

1.28191E-05 -5 =f(a) 3121727.3

5.12835E-05 1 -4.899 2840957.6

0.000108254 2 -4.798 2578576.8

0.000191541 3 -4.697 2333801.9

0.000311699 4 -4.596 2105866.2

0.000482737 5 -4.495 1894019.4

0.000722883 6 -4.394 1697527.3

0.00105538 7 -4.293 1515672.3

0.0015092 8 -4.192 1347753

0.002119589 9 -4.091 1193084.2

0.002928253 10 -3.99 1050997.1

0.003983008 11 -3.889 920839.24

0.005336637 12 -3.788 801974.42

0.007044697 13 -3.687 693782.77

0.009162029 14 -3.586 595660.71

0.011737736 15 -3.485 507021

0.014808496 16 -3.384 427292.69

0.018390236 17 -3.283 355921.16

0.022468353 18 -3.182 292368.07

0.026986976 19 -3.081 236111.41

0.031838025 20 -2.98 186645.49

0.036851179 21 -2.879 143480.9

0.041786137 22 -2.778 106144.57

0.046328786 23 -2.677 74179.736

0.050093017 24 -2.576 47145.924

0.052629781 25 -2.475 24618.988

0.053444719 26 -2.374 6191.0881

0.054864393 27 -2.273 -8529.305

0.059013886 28 -2.172 -19917.41

0.066326935 29 -2.071 -28332.14

0.077126467 30 -1.97 -34116.08

0.091573497 31 -1.869 -37595.54

0.109618972 32 -1.768 -39080.48

0.130964079 33 -1.667 -38864.57

0.15503468 34 -1.566 -37225.17

0.180975196 35 -1.465 -34423.33

0.207666077 36 -1.364 -30703.79

0.233767157 37 -1.263 -26294.96

0.257786793 38 -1.162 -21408.96

0.278173843 39 -1.061 -16241.61

0.293426688 40 -0.96 -10972.39

0.302210931 41 -0.859 -5764.487

0.303475501 42 -0.758 -764.7775

0.31039508 43 -0.657 3896.176

0.325697156 44 -0.556 8104.12

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.349067548 45 -0.455 11761.112

0.379672878 46 -0.354 14785.519

0.416196546 47 -0.253 17112.019

0.456916008 48 -0.152 18691.6

0.499815716 49 -0.051 19491.561

0.542726285 50 0.05 19495.511

0.583477559 51 0.151 18703.369

0.620051754 52 0.252 17131.365

0.650722819 53 0.353 14812.039

0.674169696 54 0.454 11794.241

0.689553979 55 0.555 8143.1329

0.696556314 56 0.656 3940.1851

0.697742484 57 0.757 -716.8207

0.706456955 58 0.858 -5713.792

0.721652 59 0.959 -10920.33

0.741995472 60 1.06 -16189.71

0.76598682 61 1.161 -21358.93

0.792074835 62 1.262 -26248.64

0.818766799 63 1.363 -30663.2

0.844720668 64 1.464 -34390.65

0.868814451 65 1.565 -37202.74

0.890189829 66 1.666 -38854.88

0.908269875 67 1.767 -39086.2

0.922753146 68 1.868 -37619.49

0.933588296 69 1.969 -34161.25

0.940934487 70 2.07 -28401.67

0.945113295 71 2.171 -20014.61

0.946557609 72 2.272 -8657.643

0.947352963 73 2.373 6027.9838

0.949875181 74 2.474 24417.326

0.953629574 75 2.575 46901.753

0.958166542 76 2.676 73888.943

0.963099295 77 2.777 105802.88

0.968112989 78 2.878 143083.88

0.972966601 79 2.979 186188.53

0.977489151 80 3.08 235589.77

0.98157199 81 3.181 291776.81

0.985158783 82 3.282 355255.21

0.988234572 83 3.383 426546.82

0.990815032 84 3.484 506189.79

0.992936681 85 3.585 594738.6

0.994648532 86 3.686 692764.02

0.996005397 87 3.787 800853.16

0.997062848 88 3.888 919609.42

0.997873706 89 3.989 1049652.5

0.998485843 90 4.09 1191618.4

0.998941031 91 4.191 1346159.6

0.999274577 92 4.292 1513944.5

0.999515515 93 4.393 1695658.3

0.99968714 94 4.494 1892002.1

0.999807728 95 4.595 2103693.5

0.999891323 96 4.696 2331466.4
0.999948512 97 4.797 2576071.1

0.999987129 98 4.898 2838274 1 99 4.999 3118857.9
distribution of Z

Normal 

distribution

1.48672E-06 4.641132868

2.45094E-06 6.963015987

3.9995E-06 10.31302494

6.46025E-06 15.07693637

1.03291E-05 21.75167803

1.63472E-05 30.9620028

2.56093E-05 43.472419

3.97118E-05 60.19002539

6.09553E-05 82.15262384

9.26132E-05 110.4953275

0.000139285 146.3881069

0.000207351 190.9366544

0.000305546 245.0399993

0.000445674 309.2008727

0.000643469 383.2892675

0.000919619 466.2661786

0.001300942 555.8830836

0.001821704 648.3829435

0.002525035 738.2394706

0.003464389 817.9817439

0.004704958 878.1590842

0.006324913 907.504187

0.008416337 893.3485565

0.011085658 822.3312214

0.014453386 681.4182572

0.018652949 459.2167183

0.023828414 147.5238124

0.030130931 -256.9958933

0.03771375 -751.1602278

0.046725789 -1323.841465

0.057303789 -1954.980854

0.069563239 -2615.267388

0.083588399 -3266.674629

0.099421884 -3863.988912

0.117054396 -4357.370343

0.136415346 -4695.87112

0.157365126 -4831.705384

0.179689839 -4724.936956

0.203099244 -4348.144582

0.227228529 -3690.55716

0.251644341 -2761.139694

0.275855243 -1590.164015

0.299326439 -228.9181368

0.321498297 1252.613935

0.341807853 2770.05187



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 4230.615309

0.37471238 5540.316919

0.386376486 6611.681648

0.394360216 7371.223382

0.398423793 7765.901662

0.398443914 7767.867662

0.394419966 7376.982149

0.386474058 6620.828117

0.374844865 5552.216696

0.359875719 4244.46104

0.34199778 2784.933376

0.32170943 1267.59469

0.299553264 -214.7259818

0.276092166 -1577.533334

0.25188591 -2750.676711

0.227469632 -3682.668332

0.203335281 -4343.023698

0.17991684 -4722.571835

0.157579839 -4831.90154

0.136615273 -4698.288289

0.117237788 -4361.566873

0.099587708 -3869.468846

0.083736272 -3272.932692

0.069693339 -2621.828009

0.05741676 -1961.428515

0.046822635 -1329.841001

0.037795734 -756.4669285

0.030199481 -261.4563197

0.023885038 143.9786237

0.018699163 456.5835576

0.014490659 679.6373191

0.011115369 821.3028659

0.008439746 892.9495011

0.006343145 907.6018228

0.004718997 878.623096

0.003475077 818.6926712

0.002533081 739.0942299

0.001827693 649.2976187

0.001305351 556.7934701

0.000922829 467.1266505

0.00064578 384.0705349

0.00044732 309.8871418

0.000306705 245.6259523

0.000208159 191.4245587

0.000139842 146.7852577

9.29928E-05 110.8119306

6.12113E-05 82.40015358

3.98826E-05 60.38003722

2.5722E-05 43.61576001

1.64209E-05 31.06834923

1.03767E-05 21.82932249

6.49066E-06 15.13275301
4.01874E-06 10.35255067

2.46298E-06 6.990598207

1.49417E-06 4.660106919
Absolute values

4.641132868 0.23437721

6.963015987 0.703264615

10.31302494 1.041615519

15.07693637 1.522770573

21.75167803 2.196919481

30.9620028 3.127162283

43.472419 4.390714319

60.19002539 6.079192564

82.15262384 8.297415008

110.4953275 11.16002808

146.3881069 14.7851988

190.9366544 19.28460209

245.0399993 24.74903993

309.2008727 31.22928814

383.2892675 38.71221602

466.2661786 47.09288404

555.8830836 56.14419144

648.3829435 65.4866773

738.2394706 74.56218653

817.9817439 82.61615614

878.1590842 88.69406751

907.504187 91.65792289

893.3485565 90.2282042

822.3312214 83.05545336

681.4182572 68.82324398

459.2167183 46.38088855

147.5238124 14.89990505

256.9958933 25.95658522

751.1602278 75.867183

1323.841465 133.7079879

1954.980854 197.4530663

2615.267388 264.1420062

3266.674629 329.9341376

3863.988912 390.2628801

4357.370343 440.0944046

4695.87112 474.2829831

4831.705384 488.0022438

4724.936956 477.2186326

4348.144582 439.1626028

3690.55716 372.7462732

2761.139694 278.8751091

1590.164015 160.6065655

228.9181368 23.12073182

1252.613935 126.5140074

2770.05187 279.7752388



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
4230.615309 427.2921462

5540.316919 559.5720089

6611.681648 667.7798465

7371.223382 744.4935615

7765.901662 784.3560678

7767.867662 784.5546338

7376.982149 745.075197

6620.828117 668.7036398

5552.216696 560.7738863

4244.46104 428.6905651

2784.933376 281.2782709

1267.59469 128.0270637

214.7259818 21.68732416

1577.533334 159.3308667

2750.676711 277.8183478

3682.668332 371.9495015

4343.023698 438.6453935

4722.571835 476.9797553

4831.90154 488.0220555

4698.288289 474.5271172

4361.566873 440.5182542

3869.468846 390.8163534

3272.932692 330.5662019

2621.828009 264.8046289

1961.428515 198.1042801

1329.841001 134.3139411

756.4669285 76.40315978

261.4563197 26.40708829

143.9786237 14.54184099

456.5835576 46.11493932

679.6373191 68.64336923

821.3028659 82.95158946

892.9495011 90.18789961

907.6018228 91.6677841

878.623096 88.7409327

818.6926712 82.68795979

739.0942299 74.64851722

649.2976187 65.57905949

556.7934701 56.23614048

467.1266505 47.1797917

384.0705349 38.79112402

309.8871418 31.29860132

245.6259523 24.80822118

191.4245587 19.33388043

146.7852577 14.82531103

110.8119306 11.19200499

82.40015358 8.322415512

60.38003722 6.098383759

43.61576001 4.405191761

31.06834923 3.137903273

21.82932249 2.204761572

15.13275301 1.528408054
10.35255067 1.045607618

6.990598207 0.706050419

4.660106919 0.235335399
Cumulative normalization

0.23437721 1.28191E-05

0.937641825 5.12835E-05

1.979257344 0.000108254

3.502027917 0.000191541

5.698947398 0.000311699

8.826109681 0.000482737

13.216824 0.000722883

19.29601656 0.00105538

27.59343157 0.0015092

38.75345965 0.002119589

53.53865845 0.002928253

72.82326054 0.003983008

97.57230047 0.005336637

128.8015886 0.007044697

167.5138046 0.009162029

214.6066887 0.011737736

270.7508801 0.014808496

336.2375574 0.018390236

410.7997439 0.022468353

493.4159001 0.026986976

582.1099676 0.031838025

673.7678905 0.036851179

763.9960947 0.041786137

847.051548 0.046328786

915.874792 0.050093017

962.2556805 0.052629781

977.1555856 0.053444719

1003.112171 0.054864393

1078.979354 0.059013886

1212.687342 0.066326935

1410.140408 0.077126467

1674.282414 0.091573497

2004.216552 0.109618972

2394.479432 0.130964079

2834.573837 0.15503468

3308.85682 0.180975196

3796.859063 0.207666077

4274.077696 0.233767157

4713.240299 0.257786793

5085.986572 0.278173843

5364.861681 0.293426688

5525.468247 0.302210931

5548.588978 0.303475501

5675.102986 0.31039508

5954.878225 0.325697156

2 ( ) ( )

i

f x f b



  





2 (  ) ( )

i

f x f b



  



 
6382.170371 0.349067548

6941.74238 0.379672878

7609.522226 0.416196546

8354.015788 0.456916008

9138.371856 0.499815716

9922.926489 0.542726285

10668.00169 0.583477559

11336.70533 0.620051754

11897.47921 0.650722819

12326.16978 0.674169696

12607.44805 0.689553979

12735.47511 0.696556314

12757.16244 0.697742484

12916.4933 0.706456955

13194.31165 0.721652

13566.26115 0.741995472

14004.90655 0.76598682

14481.8863 0.792074835

14969.90836 0.818766799

15444.43547 0.844720668

15884.95373 0.868814451

16275.77008 0.890189829

16606.33628 0.908269875

16871.14091 0.922753146

17069.24519 0.933588296

17203.55913 0.940934487

17279.96229 0.945113295

17306.36938 0.946557609

17320.91122 0.947352963

17367.02616 0.949875181

17435.66953 0.953629574

17518.62112 0.958166542

17608.80902 0.963099295

17700.4768 0.968112989

17789.21774 0.972966601

17871.9057 0.977489151

17946.55421 0.98157199

18012.13327 0.985158783

18068.36941 0.988234572

18115.54921 0.990815032

18154.34033 0.992936681

18185.63893 0.994648532

18210.44715 0.996005397

18229.78103 0.997062848

18244.60634 0.997873706

18255.79835 0.998485843

18264.12076 0.998941031

18270.21915 0.999274577

18274.62434 0.999515515

18277.76224 0.99968714

18279.967 0.999807728

18281.49541 0.999891323
18282.54102 0.999948512

18283.24707 0.999987129

18283.48241 1

923234.7476
Appendix E-6e (i): Light Liquid Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Yes Light Liquidno 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86

YES Yes Light Liquidno 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86

YES Yes Light Liquidno 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

ICR Phase II - ERT ERT Particulate Matter (PM) filterable ET 1 11/17/2009

ICR Phase II - ERT ERT Particulate Matter (PM) filterable ET 2 11/17/2009

ICR Phase II - ERT ERT Particulate Matter (PM) filterable ET 3 11/18/2009
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

ADL 0.000719007 -7.237638906 0

ADL 0.000411723 -7.795158976 0

DLL 0.000402415 -7.818026098 1
Appendix E-6e (ii): Light Liquid Filterable PM 

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -7.616941327

Variance of natural log of 

test runs (σ2) 0.108033471

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 5.029670046

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.039046185

Flatness of z distribution 

(β2z) 130.8133533

Skewness of z distribution 

(√β1z) 0.607273289
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990821218 0.999276787 0.996012648

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.000519354

exp (2μ + σ2) 2.69729E-07

exp (σ2) - 1 0.114085034

(σ2/n) + [σ4/(2(n - 1))] 0.038928965

Square root term 0.000432225

Confidence Level 99% 99.9% 99.5%

UPL 1.02E-03 1.14E-03 1.06E-03

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.73E+00 1.72E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-6e (ii): Light Liquid Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Light Liquid 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86 ICR Phase II - ERT ERT

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.000511049 -7.579045764 3 2 ET No. 2 Distillate
Appendix E-6e (iii): Light Liquid Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 130.81335 0.6072733

1.26582E-05 -5 =f(a) 2535.4826

5.06369E-05 1 -4.899 2307.2493

0.000106883 2 -4.798 2093.9808

0.000189103 3 -4.697 1895.0394

0.000307713 4 -4.596 1709.8004

0.00047653 5 -4.495 1537.6526

0.000713535 6 -4.394 1377.998

0.00104165 7 -4.293 1230.2521

0.001489445 8 -4.192 1093.8434

0.002091667 9 -4.091 968.21385

0.002889429 10 -3.99 852.81877

0.003929858 11 -3.889 747.12667

0.005264965 12 -3.788 650.6194

0.006949491 13 -3.687 562.79212

0.009037466 14 -3.586 483.15326

0.011577266 15 -3.485 411.22457

0.014605054 16 -3.384 346.54111

0.018136591 17 -3.283 288.65123

0.022157663 18 -3.182 237.11657

0.026613562 19 -3.081 191.51209

0.031398418 20 -2.98 151.42603

0.036345439 21 -2.879 116.45995

0.041219461 22 -2.778 86.228687

0.04571339 23 -2.677 60.360407

0.049450227 24 -2.576 38.496555

0.051992267 25 -2.475 20.291884

0.052858753 26 -2.374 5.4144451

0.054164869 27 -2.273 -6.454408

0.058121212 28 -2.172 -15.62002

0.065142578 29 -2.071 -22.37445

0.075532259 30 -1.97 -26.99643

0.089431784 31 -1.869 -29.75141

0.106773744 32 -1.768 -30.89154

0.127243154 33 -1.667 -30.65567

0.150252967 34 -1.566 -29.26933

0.17493895 35 -1.465 -26.94478

0.200177986 36 -1.364 -23.88095

0.224632029 37 -1.263 -20.2635

0.246817513 38 -1.162 -16.26477

0.265197243 39 -1.061 -12.0438

0.27828895 40 -0.96 -7.746339

0.284782168 41 -0.859 -3.504824

0.285911146 42 -0.758 0.5616008

0.295297351 43 -0.657 4.347091

0.313109087 44 -0.556 7.7591048

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.339003001 45 -0.455 10.7184

0.372118758 46 -0.354 13.159035

0.41111611 47 -0.253 15.028369

0.454252954 48 -0.152 16.287059

0.499498673 49 -0.051 16.909067

0.544673312 50 0.05 16.88165

0.587600299 51 0.151 16.205369

0.626258955 52 0.252 14.894084

0.658923007 53 0.353 12.974956

0.684272906 54 0.454 10.488445

0.701472564 55 0.555 7.488312

0.710204926 56 0.656 4.0416188

0.710665081 57 0.757 0.228727

0.717816343 58 0.858 -3.856702

0.73153193 59 0.959 -8.107704

0.75048146 60 1.06 -12.40402

0.773167015 61 1.161 -16.61208

0.79804046 62 1.262 -20.58503

0.823612111 63 1.363 -24.1627

0.848542415 64 1.464 -27.17163

0.871710892 65 1.565 -29.42506

0.892259418 66 1.666 -30.72291

0.909609722 67 1.767 -30.85183

0.923457419 68 1.868 -29.58514

0.933746681 69 1.969 -26.6829

0.94063083 70 2.07 -21.89182

0.944424514 71 2.171 -14.94534

0.945552927 72 2.272 -5.5636

0.94660308 73 2.373 6.5465711

0.949327205 74 2.474 21.691639

0.953238617 75 2.575 40.191371

0.957895269 76 2.676 62.378836

0.96291728 77 2.777 88.6004

0.96799596 78 2.878 119.21573

0.972895616 79 2.979 154.5978

0.977449768 80 3.08 195.13287

0.98155347 81 3.181 241.22052

0.985153358 82 3.282 293.27362

0.988236794 83 3.383 351.71832

0.990821218 84 3.484 416.99411

0.992944452 85 3.585 489.55375

0.994656444 86 3.686 569.86332

0.996012648 87 3.787 658.40218

0.997069064 88 3.888 755.66301

0.997878781 89 3.989 862.15178

0.998489826 90 4.09 978.38776

0.998944048 91 4.191 1104.9035

0.999276787 92 4.292 1242.2449

0.999517077 93 4.393 1390.9712

0.999688198 94 4.494 1551.6547

0.999808405 95 4.595 1724.8813

0.999891719 96 4.696 1911.2501
0.999948705 97 4.797 2111.3734

0.999987178 98 4.898 2325.8769 1 99 4.999 2555.3995
distribution of Z

Normal 

distribution

1.48672E-06 0.003769551

2.45094E-06 0.005654929

3.9995E-06 0.008374882

6.46025E-06 0.012242422

1.03291E-05 0.017660679

1.63472E-05 0.025136387

2.56093E-05 0.03528951

3.97118E-05 0.048855483

6.09553E-05 0.066675498

9.26132E-05 0.089669369

0.000139285 0.118784842

0.000207351 0.154917232

0.000305546 0.198794093

0.000445674 0.250821758

0.000643469 0.310894196

0.000919619 0.378169956

0.001300942 0.450829948

0.001821704 0.52583706

0.002525035 0.598727538

0.003464389 0.663472349

0.004704958 0.712453036

0.006324913 0.736598996

0.008416337 0.725729725

0.011085658 0.669134854

0.014453386 0.556405584

0.018652949 0.378503464

0.023828414 0.12901764

0.030130931 -0.194477328

0.03771375 -0.589089665

0.046725789 -1.045463751

0.057303789 -1.546997636

0.069563239 -2.069604482

0.083588399 -2.582174479

0.099421884 -3.047844003

0.117054396 -3.426103616

0.136415346 -3.675681067

0.157365126 -3.758029331

0.179689839 -3.641145907

0.203099244 -3.303363181

0.227228529 -2.736695804

0.251644341 -1.949322463

0.275855243 -0.966823943

0.299326439 0.168101974

0.321498297 1.397582362

0.341807853 2.652122945



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 3.855539175

0.37471238 4.930853365

0.386376486 5.806608231

0.394360216 6.422968236

0.398423793 6.736974457

0.398443914 6.726390673

0.394419966 6.39172114

0.386474058 5.756177208

0.374844865 4.863595615

0.359875719 3.774536628

0.34199778 2.560986083

0.32170943 1.300226887

0.299553264 0.068515914

0.276092166 -1.064805079

0.25188591 -2.042216498

0.227469632 -2.821537648

0.203335281 -3.377822455

0.17991684 -3.703593833

0.157579839 -3.807554804

0.136615273 -3.712059916

0.117237788 -3.449728406

0.099587708 -3.059624048

0.083736272 -2.583416937

0.069693339 -2.061887468

0.05741676 -1.532045433

0.046822635 -1.025032545

0.037795734 -0.564870096

0.030199481 -0.168017821

0.023885038 0.1563651

0.018699163 0.405615484

0.014490659 0.582399461

0.011115369 0.693363775

0.008439746 0.747764893

0.006343145 0.756202707

0.004718997 0.729546535

0.003475077 0.678101839

0.002533081 0.611031061

0.001827693 0.536014257

0.001305351 0.459115989

0.000922829 0.384814286

0.00064578 0.316144224

0.00044732 0.254911211

0.000306705 0.201935474

0.000208159 0.157297714

0.000139842 0.120564826

9.29928E-05 0.090983013

6.12113E-05 0.067632561

3.98826E-05 0.049543952

2.5722E-05 0.035778592

1.64209E-05 0.025479544

1.03767E-05 0.017898516

6.49066E-06 0.012405272
4.01874E-06 0.008485053

2.46298E-06 0.005728577

1.49417E-06 0.003818204
Absolute values

0.003769551 0.000190362

0.005654929 0.000571148

0.008374882 0.000845863

0.012242422 0.001236485

0.017660679 0.001783729

0.025136387 0.002538775

0.03528951 0.003564241

0.048855483 0.004934404

0.066675498 0.006734225

0.089669369 0.009056606

0.118784842 0.011997269

0.154917232 0.01564664

0.198794093 0.020078203

0.250821758 0.025332998

0.310894196 0.031400314

0.378169956 0.038195166

0.450829948 0.045533825

0.52583706 0.053109543

0.598727538 0.060471481

0.663472349 0.067010707

0.712453036 0.071957757

0.736598996 0.074396499

0.725729725 0.073298702

0.669134854 0.06758262

0.556405584 0.056196964

0.378503464 0.03822885

0.12901764 0.013030782

0.194477328 0.01964221

0.589089665 0.059498056

1.045463751 0.105591839

1.546997636 0.156246761

2.069604482 0.209030053

2.582174479 0.260799622

3.047844003 0.307832244

3.426103616 0.346036465

3.675681067 0.371243788

3.758029331 0.379560962

3.641145907 0.367755737

3.303363181 0.333639681

2.736695804 0.276406276

1.949322463 0.196881569

0.966823943 0.097649218

0.168101974 0.016978299

1.397582362 0.141155819

2.652122945 0.267864417



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
3.855539175 0.389409457

4.930853365 0.49801619

5.806608231 0.586467431

6.422968236 0.648719792

6.736974457 0.68043442

6.726390673 0.679365458

6.39172114 0.645563835

5.756177208 0.581373898

4.863595615 0.491223157

3.774536628 0.381228199

2.560986083 0.258659594

1.300226887 0.131322916

0.068515914 0.006920107

1.064805079 0.107545313

2.042216498 0.206263866

2.821537648 0.284975302

3.377822455 0.341160068

3.703593833 0.374062977

3.807554804 0.384563035

3.712059916 0.374918052

3.449728406 0.348422569

3.059624048 0.309022029

2.583416937 0.260925111

2.061887468 0.208250634

1.532045433 0.154736589

1.025032545 0.103528287

0.564870096 0.05705188

0.168017821 0.0169698

0.1563651 0.015792875

0.405615484 0.040967164

0.582399461 0.058822346

0.693363775 0.070029741

0.747764893 0.075524254

0.756202707 0.076376473

0.729546535 0.0736842

0.678101839 0.068488286

0.611031061 0.061714137

0.536014257 0.05413744

0.459115989 0.046370715

0.384814286 0.038866243

0.316144224 0.031930567

0.254911211 0.025746032

0.201935474 0.020395483

0.157297714 0.015887069

0.120564826 0.012177047

0.090983013 0.009189284

0.067632561 0.006830889

0.049543952 0.005003939

0.035778592 0.003613638

0.025479544 0.002573434

0.017898516 0.00180775

0.012405272 0.001252932
0.008485053 0.00085699

0.005728577 0.000578586

0.003818204 0.000192819
Cumulative normalization

0.000190362 1.26582E-05

0.00076151 5.06369E-05

0.001607373 0.000106883

0.002843858 0.000189103

0.004627586 0.000307713

0.007166362 0.00047653

0.010730602 0.000713535

0.015665006 0.00104165

0.022399231 0.001489445

0.031455837 0.002091667

0.043453106 0.002889429

0.059099747 0.003929858

0.07917795 0.005264965

0.104510948 0.006949491

0.135911262 0.009037466

0.174106427 0.011577266

0.219640252 0.014605054

0.272749795 0.018136591

0.333221276 0.022157663

0.400231984 0.026613562

0.47218974 0.031398418

0.546586239 0.036345439

0.619884941 0.041219461

0.687467561 0.04571339

0.743664525 0.049450227

0.781893375 0.051992267

0.794924157 0.052858753

0.814566367 0.054164869

0.874064423 0.058121212

0.979656262 0.065142578

1.135903023 0.075532259

1.344933076 0.089431784

1.605732698 0.106773744

1.913564943 0.127243154

2.259601408 0.150252967

2.630845196 0.17493895

3.010406158 0.200177986

3.378161895 0.224632029

3.711801576 0.246817513

3.988207852 0.265197243

4.185089421 0.27828895

4.282738639 0.284782168

4.299716938 0.285911146

4.440872757 0.295297351

4.708737174 0.313109087

2 ( ) ( )

i

f x f b



  



 
5.098146631 0.339003001

5.596162821 0.372118758

6.182630252 0.41111611

6.831350044 0.454252954

7.511784464 0.499498673

8.191149922 0.544673312

8.836713757 0.587600299

9.418087655 0.626258955

9.909310812 0.658923007

10.29053901 0.684272906

10.54919861 0.701472564

10.68052152 0.710204926

10.68744163 0.710665081

10.79498694 0.717816343

11.00125081 0.73153193

11.28622611 0.75048146

11.62738618 0.773167015

12.00144916 0.79804046

12.38601219 0.823612111

12.76093024 0.848542415

13.10935281 0.871710892

13.41837484 0.892259418

13.67929995 0.909609722

13.88755059 0.923457419

14.04228717 0.933746681

14.14581546 0.94063083

14.20286734 0.944424514

14.21983714 0.945552927

14.23563002 0.94660308

14.27659718 0.949327205

14.33541953 0.953238617

14.40544927 0.957895269

14.48097352 0.96291728

14.55734999 0.96799596

14.63103419 0.972895616

14.69952248 0.977449768

14.76123662 0.98155347

14.81537406 0.985153358

14.86174477 0.988236794

14.90061101 0.990821218

14.93254158 0.992944452

14.95828761 0.994656444

14.9786831 0.996012648

14.99457017 0.997069064

15.00674721 0.997878781

15.0159365 0.998489826

15.02276739 0.998944048

15.02777133 0.999276787

15.03138496 0.999517077

15.0339584 0.999688198

15.03576615 0.999808405

15.03701908 0.999891719
15.03787607 0.999948705

15.03845466 0.999987178

15.03864748 1

758.6287792
Appendix E-6f (i): Light Liquid CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Liquid N/A no 1 NJMerckRahway

YES Yes Liquid N/A no 1 NJMerckRahway

YES Yes Liquid N/A no 1 NJMerckRahway
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

E750009 - Boiler #9 ICR Phase I Organic HAP and CO (6) CO ET Sample #1

E750009 - Boiler #9 ICR Phase I Organic HAP and CO (6) CO ET Sample #2

E750009 - Boiler #9 ICR Phase I Organic HAP and CO (6) CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

3/14/2008 ND 1.022797219 0.022541245 1

3/14/2008 ND 1.028659865 0.028256853 1

3/14/2008 ND 1.034590107 0.034005317 1
Appendix E-6f (ii): Light Liquid CO Test Averages 

In top 

12%?

Min Test 

Avg?

Combustor 

Design

YES Yes N/A

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) 0.028267805

Variance of natural log of 

test runs (σ2) 3.28563E-05

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.000525726

Denominator for 

calculation of flatness of z 

distribution (β2z) 3.23872E-09

Flatness of z distribution 

(β2z) 926454084.5

Skewness of z distribution 

(√β1z) 0.009928381
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815009 0.999274575 0.9960054

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 1.02868803

exp (2μ + σ2) 1.058199063

exp (σ2) - 1 3.28569E-05

(σ2/n) + [σ4/(2(n - 1))] 1.09524E-05

Square root term 0.01

Confidence Level 99% 99.9% 99.5%

UPL 1.05E+00 1.05E+00 1.05E+00

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.72E-02 8.60E-03

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
Light Liquid CO Test Averages and Calculation of UPL

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab Pollutant

Liquid 1 NJMerckRahway E750009 - Boiler #9 ICR Phase I Organic HAP and CO (6)CO

Test Average

Test Average - 

Rounded

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

1.028682397 1 0.028278757 3 2 ET /No. 2 Distillate/
Appendix E-6f (iii): Light Liquid CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 926454085 0.0099284

1.28191E-05 -5 =f(a) 1.845E+10

5.12838E-05 1 -4.899 1.679E+10

0.000108254 2 -4.798 1.524E+10

0.000191541 3 -4.697 1.379E+10

0.000311701 4 -4.596 1.245E+10

0.000482739 5 -4.495 1.12E+10

0.000722887 6 -4.394 1.003E+10

0.001055384 7 -4.293 8.959E+09

0.001509207 8 -4.192 7.966E+09

0.002119598 9 -4.091 7.052E+09

0.002928266 10 -3.99 6.212E+09

0.003983025 11 -3.889 5.443E+09

0.005336659 12 -3.788 4.74E+09

0.007044726 13 -3.687 4.101E+09

0.009162066 14 -3.586 3.521E+09

0.011737782 15 -3.485 2.997E+09

0.014808551 16 -3.384 2.526E+09

0.018390301 17 -3.283 2.104E+09

0.022468427 18 -3.182 1.728E+09

0.026987056 19 -3.081 1.396E+09

0.031838107 20 -2.98 1.103E+09

0.036851257 21 -2.879 848080839

0.041786199 22 -2.778 627393483

0.046328817 23 -2.677 438455873

0.050092996 24 -2.576 278664539

0.05262968 25 -2.475 145512417

0.053444502 26 -2.374 36588849

0.054864337 27 -2.273 -50420413

0.059014045 28 -2.172 -1.18E+08

0.066327374 29 -2.071 -1.67E+08

0.077127264 30 -1.97 -2.02E+08

0.091574736 31 -1.869 -2.22E+08

0.109620753 32 -1.768 -2.31E+08

0.130966506 33 -1.667 -2.3E+08

0.155037869 34 -1.566 -2.2E+08

0.180979269 35 -1.465 -2.03E+08

0.207671157 36 -1.364 -1.81E+08

0.233773371 37 -1.263 -1.55E+08

0.257794268 38 -1.162 -1.27E+08

0.2781827 39 -1.061 -96006823

0.293437043 40 -0.96 -64861568

0.302222893 41 -0.859 -34078749

0.303489165 42 -0.758 -4526507

0.310406956 43 -0.657 23023422

0.325707171 44 -0.556 47895711

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.349075644 45 -0.455 69511440

0.379679009 46 -0.354 87388095

0.416200683 47 -0.253 101139571

0.456918134 48 -0.152 110476168

0.499815828 49 -0.051 115204596

0.542724393 50 0.05 115227969

0.583473684 51 0.151 110545810

0.62004593 52 0.252 101254050

0.650715092 53 0.353 87545025

0.674160123 54 0.454 69707479

0.689542627 55 0.555 48126565

0.69654326 56 0.656 23283841

0.697731046 57 0.757 -4242728

0.706447037 58 0.858 -33778768

0.721643501 59 0.959 -64553500

0.741988283 60 1.06 -95699735

0.76598083 61 1.161 -1.26E+08

0.792069928 62 1.262 -1.55E+08

0.818762862 63 1.363 -1.81E+08

0.844717588 64 1.464 -2.03E+08

0.868812118 65 1.565 -2.2E+08

0.890188138 66 1.666 -2.3E+08

0.908268729 67 1.767 -2.31E+08

0.922752454 68 1.868 -2.22E+08

0.933587978 69 1.969 -2.02E+08

0.94093447 70 2.07 -1.68E+08

0.945113516 71 2.171 -1.18E+08

0.946558015 72 2.272 -51179839

0.947353229 73 2.373 35623697

0.949875344 74 2.474 144319107

0.953629662 75 2.575 277219686

0.95816658 76 2.676 436735136

0.963099299 77 2.777 625371567

0.968112973 78 2.878 845731496

0.972966574 79 2.979 1.101E+09

0.977489119 80 3.08 1.393E+09

0.981571958 81 3.181 1.725E+09

0.985158752 82 3.282 2.1E+09

0.988234545 83 3.383 2.521E+09

0.990815009 84 3.484 2.992E+09

0.992936662 85 3.585 3.515E+09

0.994648517 86 3.686 4.095E+09

0.996005385 87 3.787 4.734E+09

0.997062839 88 3.888 5.436E+09

0.997873699 89 3.989 6.204E+09

0.998485838 90 4.09 7.043E+09

0.998941027 91 4.191 7.957E+09

0.999274575 92 4.292 8.949E+09

0.999515514 93 4.393 1.002E+10

0.999687139 94 4.494 1.118E+10

0.999807727 95 4.595 1.243E+10

0.999891323 96 4.696 1.378E+10
0.999948511 97 4.797 1.523E+10

0.999987128 98 4.898 1.678E+10 1 99 4.999 1.843E+10
distribution of Z

Normal 

distribution

1.48672E-06 27432.7658

2.45094E-06 41156.93063

3.9995E-06 60958.13141

6.46025E-06 89116.61231

1.03291E-05 128569.6082

1.63472E-05 183009.9005

2.56093E-05 256956.3346

3.97118E-05 355770.5759

6.09553E-05 485586.8459

9.26132E-05 653114.5484

0.000139285 865269.1144

0.000207351 1128586.033

0.000305546 1448379.238

0.000445674 1827620.209

0.000643469 2265540.423

0.000919619 2755998.43

0.001300942 3285703.539

0.001821704 3832448.486

0.002525035 4363568.29

0.003464389 4834903.588

0.004704958 5190592.994

0.006324913 5364037.345

0.008416337 5280355.234

0.011085658 4860572.074

0.014453386 4027646.279

0.018652949 2714235.655

0.023828414 871854.2554

0.030130931 -1519213.977

0.03771375 -4440160.926

0.046725789 -7825213.935

0.057303789 -11555810.85

0.069563239 -15458701.21

0.083588399 -19309119.25

0.099421884 -22839816.71

0.117054396 -25756200.29

0.136415346 -27757127.68

0.157365126 -28560145.63

0.179689839 -27929198.23

0.203099244 -25702202.15

0.227228529 -21815489.16

0.251644341 -16322046.56

0.275855243 -9400801.54

0.299326439 -1354903.319

0.321498297 7401990.879

0.341807853 16371130.1



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 25004112.34

0.37471238 32745401.05

0.386376486 39077951.88

0.394360216 43567405.53

0.398423793 45900251.96

0.398443914 45911882.84

0.394419966 43601474.67

0.386474058 39132063.5

0.374844865 32815802.95

0.359875719 25086029.26

0.34199778 16459178.47

0.32170943 7490631.144

0.299553264 -1270923.032

0.276092166 -9326053.299

0.25188591 -16260116.98

0.227469632 -21768783.5

0.203335281 -25671867.97

0.17991684 -27915164.87

0.157579839 -28561264.15

0.136615273 -27771386.79

0.117237788 -25780988.84

0.099587708 -22872202.06

0.083736272 -19346113.37

0.069693339 -15497491.44

0.05741676 -11593939.39

0.046822635 -7860697.972

0.037795734 -4471552.425

0.030199481 -1545604.577

0.023885038 850873.3724

0.018699163 2698646.464

0.014490659 4017095.985

0.011115369 4854472.199

0.008439746 5277977.356

0.006343145 5364597.744

0.004718997 5193321.375

0.003475077 4839093.719

0.002533081 4368610.676

0.001827693 3837846.882

0.001305351 3291078.2

0.000922829 2761079.426

0.00064578 2270154.393

0.00044732 1831673.589

0.000306705 1451840.41

0.000208159 1131468.242

0.000139842 867615.3475

9.29928E-05 654985.0222

6.12113E-05 487049.2983

3.98826E-05 356893.241

2.5722E-05 257803.2759

1.64209E-05 183638.2733

1.03767E-05 129028.3995

6.49066E-06 89446.43277
4.01874E-06 61191.69325

2.46298E-06 41319.91974

1.49417E-06 27544.88915
Absolute values

27432.7658 1385.354673

41156.93063 4156.849994

60958.13141 6156.771272

89116.61231 9000.777844

128569.6082 12985.53043

183009.9005 18483.99995

256956.3346 25952.58979

355770.5759 35932.82817

485586.8459 49044.27144

653114.5484 65964.56939

865269.1144 87392.18055

1128586.033 113987.1893

1448379.238 146286.303

1827620.209 184589.6411

2265540.423 228819.5828

2755998.43 278355.8415

3285703.539 331856.0574

3832448.486 387077.297

4363568.29 440720.3973

4834903.588 488325.2624

5190592.994 524249.8924

5364037.345 541767.7719

5280355.234 533315.8787

4860572.074 490917.7795

4027646.279 406792.2742

2714235.655 274137.8011

871854.2554 88057.2798

1519213.977 153440.6117

4440160.926 448456.2535

7825213.935 790346.6075

11555810.85 1167136.896

15458701.21 1561328.822

19309119.25 1950221.044

22839816.71 2306821.487

25756200.29 2601376.23

27757127.68 2803469.896

28560145.63 2884574.709

27929198.23 2820849.022

25702202.15 2595922.418

21815489.16 2203364.405

16322046.56 1648526.702

9400801.54 949480.9555

1354903.319 136845.2353

7401990.879 747601.0788

16371130.1 1653484.14



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
25004112.34 2525415.347

32745401.05 3307285.506

39077951.88 3946873.14

43567405.53 4400307.958

45900251.96 4635925.448

45911882.84 4637100.167

43601474.67 4403748.942

39132063.5 3952338.414

32815802.95 3314396.098

25086029.26 2533688.955

16459178.47 1662377.025

7490631.144 756553.7455

1270923.032 128363.2262

9326053.299 941931.3832

16260116.98 1642271.815

21768783.5 2198647.133

25671867.97 2592858.665

27915164.87 2819431.651

28561264.15 2884687.679

27771386.79 2804910.066

25780988.84 2603879.873

22872202.06 2310092.408

19346113.37 1953957.451

15497491.44 1565246.635

11593939.39 1170987.878

7860697.972 793930.4952

4471552.425 451626.795

1545604.577 156106.0623

850873.3724 85938.21061

2698646.464 272563.2928

4017095.985 405726.6944

4854472.199 490301.6921

5277977.356 533075.713

5364597.744 541824.3721

5193321.375 524525.4589

4839093.719 488748.4657

4368610.676 441229.6782

3837846.882 387622.5351

3291078.2 332398.8982

2761079.426 278869.022

2270154.393 229285.5937

1831673.589 184999.0325

1451840.41 146635.8814

1131468.242 114278.2924

867615.3475 87629.1501

654985.0222 66153.48724

487049.2983 49191.97912

356893.241 36046.21734

257803.2759 26038.13086

183638.2733 18547.46561

129028.3995 13031.86835

89446.43277 9034.08971
61191.69325 6180.361019

41319.91974 4173.311894

27544.88915 1391.016902
Cumulative normalization

1385.354673 1.28191E-05

5542.204667 5.12838E-05

11698.97594 0.000108254

20699.75378 0.000191541

33685.28421 0.000311701

52169.28417 0.000482739

78121.87396 0.000722887

114054.7021 0.001055384

163098.9736 0.001509207

229063.543 0.002119598

316455.7235 0.002928266

430442.9128 0.003983025

576729.2158 0.005336659

761318.8569 0.007044726

990138.4397 0.009162066

1268494.281 0.011737782

1600350.339 0.014808551

1987427.636 0.018390301

2428148.033 0.022468427

2916473.295 0.026987056

3440723.188 0.031838107

3982490.96 0.036851257

4515806.838 0.041786199

5006724.618 0.046328817

5413516.892 0.050092996

5687654.693 0.05262968

5775711.973 0.053444502

5929152.584 0.054864337

6377608.838 0.059014045

7167955.445 0.066327374

8335092.341 0.077127264

9896421.164 0.091574736

11846642.21 0.109620753

14153463.7 0.130966506

16754839.92 0.155037869

19558309.82 0.180979269

22442884.53 0.207671157

25263733.55 0.233773371

27859655.97 0.257794268

30063020.37 0.2781827

31711547.08 0.293437043

32661028.03 0.302222893

32797873.27 0.303489165

33545474.35 0.310406956

35198958.49 0.325707171

2 ( ) ( )

i

f x f b



  





2 (  ) ( )

i

f x f b



  



 
37724373.83 0.349075644

41031659.34 0.379679009

44978532.48 0.416200683

49378840.44 0.456918134

54014765.89 0.499815828

58651866.05 0.542724393

63055614.99 0.583473684

67007953.41 0.62004593

70322349.51 0.650715092

72856038.46 0.674160123

74518415.49 0.689542627

75274969.23 0.69654326

75403332.46 0.697731046

76345263.84 0.706447037

77987535.66 0.721643501

80186182.79 0.741988283

82779041.45 0.76598083

85598473.11 0.792069928

88483160.78 0.818762862

91288070.85 0.844717588

93891950.72 0.868812118

96202043.13 0.890188138

98156000.58 0.908268729

99721247.22 0.922752454

100892235.1 0.933587978

101686165.6 0.94093447

102137792.4 0.945113516

102293898.4 0.946558015

102379836.7 0.947353229

102652400 0.949875344

103058126.6 0.953629662

103548428.3 0.95816658

104081504.1 0.963099299

104623328.4 0.968112973

105147853.9 0.972966574

105636602.3 0.977489119

106077832 0.981571958

106465454.6 0.985158752

106797853.5 0.988234545

107076722.5 0.990815009

107306008.1 0.992936662

107491007.1 0.994648517

107637643 0.996005385

107751921.3 0.997062839

107839550.4 0.997873699

107905703.9 0.998485838

107954895.9 0.998941027

107990942.1 0.999274575

108016980.2 0.999515514

108035527.7 0.999687139

108048559.6 0.999807727

108057593.7 0.999891323
108063774 0.999948511

108067947.3 0.999987128

108069338.4 1

5457022898
Appendix E-6g (i): Heavy Liquid TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Yes Heavy LiquidNo 2 MNGPDuluth EU33 Boiler #3

YES Yes Heavy LiquidNo 2 MNGPDuluth EU33 Boiler #3

YES Yes Heavy LiquidNo 2 MNGPDuluth EU33 Boiler #3
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

ICR Phase II - ERT ERT TSM8 ET 1 9/10/2009

ICR Phase II - ERT ERT TSM8 ET 2 9/10/2009

ICR Phase II - ERT ERT TSM8 ET 3 9/10/2009
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

3.84728E-05 -10.16555855 0

4.06197E-05 -10.1112573 0

1.96629E-05 -10.83677656 0
Appendix E-6g (ii): Heavy Liquid TSM Test Av

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -10.37119747

Variance of natural log of 

test runs (σ2) 0.163310071

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 6.34498679

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.094414102

Flatness of z distribution 

(β2z) 69.2038039

Skewness of z distribution 

(√β1z) 0.772663507
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990837147 0.999280178 0.996025157

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 3.39867E-05

exp (2μ + σ2) 1.15509E-09

exp (σ2) - 1 0.177401712

(σ2/n) + [σ4/(2(n - 1))] 0.061104235

Square root term 3.5355E-05

Confidence Level 99% 99.9% 99.5%

UPL 7.50E-05 8.46E-05 7.86E-05

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -1.66E+00 -1.70E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-6g (ii): Heavy Liquid TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Heavy Liquid 2 MNGPDuluth EU33 Boiler #3 ICR Phase II - ERT ERT

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 3.29185E-05 -10.32147645 3 2 ET No. 6 Residual oil
Appendix E-6g (iii): Heavy Liquid TSM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 69.203804 0.7726635

1.24261E-05 -5 =f(a) 1305.3936

4.97029E-05 1 -4.899 1187.7186

0.000104901 2 -4.798 1077.7722

0.000185578 3 -4.697 975.22427

0.000301941 4 -4.596 879.75192

0.000467531 5 -4.495 791.03898

0.000699964 6 -4.394 708.77619

0.001021688 7 -4.293 632.6612

0.001460671 8 -4.192 562.39852

0.002050917 9 -4.091 497.69957

0.002832637 10 -3.99 438.28267

0.003851899 11 -3.889 383.87299

0.005159511 12 -3.788 334.20263

0.006808902 13 -3.687 289.01056

0.008852741 14 -3.586 248.04264

0.011338101 15 -3.485 211.05163

0.014300035 16 -3.384 177.79715

0.01775359 17 -3.283 148.04574

0.021684466 18 -3.182 121.57083

0.026038799 19 -3.081 98.15271

0.030712815 20 -2.98 77.578585

0.03554344 21 -2.879 59.642541

0.040301202 22 -2.778 44.145552

0.044687005 23 -2.677 30.895484

0.048334417 24 -2.576 19.707089

0.050819022 25 -2.475 10.402011

0.051676072 26 -2.374 2.8087826

0.052925098 27 -2.273 -3.237176

0.056737204 28 -2.172 -7.893554

0.063505138 29 -2.071 -11.31115

0.073509639 30 -1.97 -13.63388

0.086870296 31 -1.869 -14.99876

0.103499667 32 -1.768 -15.53593

0.123066006 33 -1.667 -15.36862

0.14497012 34 -1.566 -14.6132

0.168341462 35 -1.465 -13.37913

0.192057376 36 -1.364 -11.76898

0.214787642 37 -1.263 -9.878439

0.235064004 38 -1.162 -7.79631

0.251371684 39 -1.061 -5.604497

0.262257027 40 -0.96 -3.378021

0.266442996 41 -0.859 -1.18501

0.26994364 42 -0.758 0.9132931

0.281728451 43 -0.657 2.8625382

0.301929368 44 -0.556 4.6152624

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.330169812 45 -0.455 6.1308926

0.365561116 46 -0.354 7.3757448

0.406740941 47 -0.253 8.3230241

0.45195212 48 -0.152 8.952825

0.499156216 49 -0.051 9.252131

0.546172301 50 0.05 9.2148149

0.590828762 51 0.151 8.8416386

0.631114463 52 0.252 8.1402534

0.665315656 53 0.353 7.1251997

0.69212659 54 0.454 5.8179068

0.710724618 55 0.555 4.2466937

0.720804356 56 0.656 2.4467682

0.722569741 57 0.757 0.4602275

0.728452552 58 0.858 -1.663942

0.740934787 59 0.959 -3.869865

0.758687873 60 1.06 -6.094777

0.780218644 61 1.161 -8.269023

0.803985862 62 1.262 -10.31606

0.828507949 63 1.363 -12.15246

0.852453702 64 1.464 -13.68789

0.874710338 65 1.565 -14.82516

0.894426025 66 1.666 -15.46014

0.911026853 67 1.767 -15.48187

0.924210536 68 1.868 -14.77246

0.933921002 69 1.969 -13.20714

0.9403091 70 2.07 -10.65425

0.943685049 71 2.171 -6.97526

0.944468041 72 2.272 -2.024721

0.945798424 73 2.373 4.3496886

0.948745378 74 2.474 12.307181

0.952830236 75 2.575 22.013858

0.957618825 76 2.676 33.642713

0.962738692 77 2.777 47.373626

0.967887908 78 2.878 63.393368

0.972836742 79 2.979 81.895598

0.97742381 80 3.08 103.08086

0.981548398 81 3.181 127.1566

0.985160554 82 3.282 154.33715

0.988250314 83 3.383 184.84371

0.990837147 84 3.484 218.90439

0.992960367 85 3.585 256.75419

0.994670979 86 3.686 298.63499

0.996025157 87 3.787 344.79557

0.99707936 88 3.888 395.49158

0.997886952 89 3.989 450.98558

0.998496107 90 4.09 511.54701

0.998948734 91 4.191 577.45219

0.999280178 92 4.292 648.98436

0.999519451 93 4.393 726.43361

0.999689794 94 4.494 810.09694

0.999809421 95 4.595 900.27824

0.999892311 96 4.696 997.28828
0.999948993 97 4.797 1101.4447

0.999987252 98 4.898 1213.0722 1 99 4.999 1332.502
distribution of Z

Normal 

distribution

1.48672E-06 0.001940754

2.45094E-06 0.002911027

3.9995E-06 0.004310553

6.46025E-06 0.006300189

1.03291E-05 0.009087035

1.63472E-05 0.01293131

2.56093E-05 0.018151234

3.97118E-05 0.025124094

6.09553E-05 0.034281144

9.26132E-05 0.046093543

0.000139285 0.061046191

0.000207351 0.07959633

0.000305546 0.102114246

0.000445674 0.128804466

0.000643469 0.15960778

0.000919619 0.194087099

0.001300942 0.23130381

0.001821704 0.269695503

0.002525035 0.306970543

0.003464389 0.340039156

0.004704958 0.365003949

0.006324913 0.37723387

0.008416337 0.371543864

0.011085658 0.342496783

0.014453386 0.284834178

0.018652949 0.194028187

0.023828414 0.066928835

0.030130931 -0.097539128

0.03771375 -0.297695522

0.046725789 -0.528522484

0.057303789 -0.781272969

0.069563239 -1.043362363

0.083588399 -1.298623252

0.099421884 -1.52797733

0.117054396 -1.710539301

0.136415346 -1.825118188

0.157365126 -1.85202662

0.179689839 -1.775055175

0.203099244 -1.583424632

0.227228529 -1.273501663

0.251644341 -0.850059811

0.275855243 -0.326891328

0.299326439 0.273372781

0.321498297 0.920301156

0.341807853 1.577532943



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 2.205356828

0.37471238 2.763782886

0.386376486 3.215820805

0.394360216 3.53063799

0.398423793 3.686269113

0.398443914 3.6715869

0.394419966 3.487318811

0.386474058 3.145996784

0.374844865 2.670844503

0.359875719 2.093723403

0.34199778 1.452359822

0.32170943 0.787148413

0.299553264 0.137862662

0.276092166 -0.459401361

0.25188591 -0.974764458

0.227469632 -1.38637658

0.203335281 -1.68138408

0.17991684 -1.856033053

0.157579839 -1.914982372

0.136615273 -1.869975231

0.117237788 -1.73806839

0.099587708 -1.539640361

0.083736272 -1.296394255

0.069693339 -1.029542024

0.05741676 -0.758311145

0.046822635 -0.498860287

0.037795734 -0.263635083

0.030199481 -0.061145509

0.023885038 0.103892479

0.018699163 0.230133973

0.014490659 0.318995315

0.011115369 0.373951169

0.008439746 0.399821385

0.006343145 0.402113342

0.004718997 0.386465068

0.003475077 0.358213979

0.002533081 0.322097946

0.001827693 0.282080988

0.001305351 0.241285984

0.000922829 0.202011333

0.00064578 0.165806826

0.00044732 0.133585378

0.000306705 0.105750646

0.000208159 0.082324952

0.000139842 0.063066619

9.29928E-05 0.047570186

6.12113E-05 0.035346589

3.98826E-05 0.025883181

2.5722E-05 0.018685341

1.64209E-05 0.013302509

1.03767E-05 0.009341886

6.49066E-06 0.006473058
4.01874E-06 0.004426416

2.46298E-06 0.002987767

1.49417E-06 0.001990986
Absolute values

0.001940754 9.80081E-05

0.002911027 0.000294014

0.004310553 0.000435366

0.006300189 0.000636319

0.009087035 0.000917791

0.01293131 0.001306062

0.018151234 0.001833275

0.025124094 0.002537533

0.034281144 0.003462395

0.046093543 0.004655448

0.061046191 0.006165665

0.07959633 0.008039229

0.102114246 0.010313539

0.128804466 0.013009251

0.15960778 0.016120386

0.194087099 0.019602797

0.23130381 0.023361685

0.269695503 0.027239246

0.306970543 0.031004025

0.340039156 0.034343955

0.365003949 0.036865399

0.37723387 0.038100621

0.371543864 0.03752593

0.342496783 0.034592175

0.284834178 0.028768252

0.194028187 0.019596847

0.066928835 0.006759812

0.097539128 0.009851452

0.297695522 0.030067248

0.528522484 0.053380771

0.781272969 0.07890857

1.043362363 0.105379599

1.298623252 0.131160948

1.52797733 0.15432571

1.710539301 0.172764469

1.825118188 0.184336937

1.85202662 0.187054689

1.775055175 0.179280573

1.583424632 0.159925888

1.273501663 0.128623668

0.850059811 0.085856041

0.326891328 0.033016024

0.273372781 0.027610651

0.920301156 0.092950417

1.577532943 0.159330827



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
2.205356828 0.22274104

2.763782886 0.279142071

3.215820805 0.324797901

3.53063799 0.356594437

3.686269113 0.37231318

3.6715869 0.370830277

3.487318811 0.3522192

3.145996784 0.317745675

2.670844503 0.269755295

2.093723403 0.211466064

1.452359822 0.146688342

0.787148413 0.07950199

0.137862662 0.013924129

0.459401361 0.046399537

0.974764458 0.09845121

1.38637658 0.140024035

1.68138408 0.169819792

1.856033053 0.187459338

1.914982372 0.19341322

1.869975231 0.188867498

1.73806839 0.175544907

1.539640361 0.155503676

1.296394255 0.13093582

1.029542024 0.103983744

0.758311145 0.076589426

0.498860287 0.050384889

0.263635083 0.026627143

0.061145509 0.006175696

0.103892479 0.01049314

0.230133973 0.023243531

0.318995315 0.032218527

0.373951169 0.037769068

0.399821385 0.04038196

0.402113342 0.040613448

0.386465068 0.039032972

0.358213979 0.036179612

0.322097946 0.032531893

0.282080988 0.02849018

0.241285984 0.024369884

0.202011333 0.020403145

0.165806826 0.016746489

0.133585378 0.013492123

0.105750646 0.010680815

0.082324952 0.00831482

0.063066619 0.006369729

0.047570186 0.004804589

0.035346589 0.003570006

0.025883181 0.002614201

0.018685341 0.001887219

0.013302509 0.001343553

0.009341886 0.00094353

0.006473058 0.000653779
0.004426416 0.000447068

0.002987767 0.000301764

0.001990986 0.000100545
Cumulative normalization

9.80081E-05 1.24261E-05

0.000392022 4.97029E-05

0.000827388 0.000104901

0.001463707 0.000185578

0.002381497 0.000301941

0.00368756 0.000467531

0.005520834 0.000699964

0.008058368 0.001021688

0.011520763 0.001460671

0.016176211 0.002050917

0.022341876 0.002832637

0.030381106 0.003851899

0.040694644 0.005159511

0.053703896 0.006808902

0.069824281 0.008852741

0.089427078 0.011338101

0.112788763 0.014300035

0.140028009 0.01775359

0.171032034 0.021684466

0.205375988 0.026038799

0.242241387 0.030712815

0.280342008 0.03554344

0.317867938 0.040301202

0.352460114 0.044687005

0.381228366 0.048334417

0.400825212 0.050819022

0.407585025 0.051676072

0.417436477 0.052925098

0.447503724 0.056737204

0.500884495 0.063505138

0.579793065 0.073509639

0.685172664 0.086870296

0.816333612 0.103499667

0.970659323 0.123066006

1.143423792 0.14497012

1.327760729 0.168341462

1.514815418 0.192057376

1.694095991 0.214787642

1.854021878 0.235064004

1.982645546 0.251371684

2.068501587 0.262257027

2.101517611 0.266442996

2.129128262 0.26994364

2.222078679 0.281728451

2.381409506 0.301929368

2 ( ) ( )

i

f x f b



  



 
2.604150546 0.330169812

2.883292617 0.365561116

3.208090519 0.406740941

3.564684956 0.45195212

3.936998136 0.499156216

4.307828413 0.546172301

4.660047613 0.590828762

4.977793288 0.631114463

5.247548583 0.665315656

5.459014647 0.69212659

5.605702989 0.710724618

5.685204978 0.720804356

5.699129107 0.722569741

5.745528645 0.728452552

5.843979855 0.740934787

5.98400389 0.758687873

6.153823682 0.780218644

6.34128302 0.803985862

6.53469624 0.828507949

6.723563738 0.852453702

6.899108645 0.874710338

7.054612322 0.894426025

7.185548142 0.911026853

7.289531886 0.924210536

7.366121312 0.933921002

7.416506201 0.9403091

7.443133344 0.943685049

7.449309041 0.944468041

7.459802181 0.945798424

7.483045712 0.948745378

7.515264239 0.952830236

7.553033307 0.957618825

7.593415267 0.962738692

7.634028715 0.967887908

7.673061686 0.972836742

7.709241298 0.97742381

7.741773191 0.981548398

7.770263371 0.985160554

7.794633255 0.988250314

7.8150364 0.990837147

7.831782889 0.992960367

7.845275012 0.994670979

7.855955827 0.996025157

7.864270648 0.99707936

7.870640376 0.997886952

7.875444965 0.998496107

7.87901497 0.998948734

7.881629172 0.999280178

7.883516391 0.999519451

7.884859945 0.999689794

7.885803475 0.999809421

7.886457254 0.999892311
7.886904322 0.999948993

7.887206086 0.999987252

7.887306631 1

397.3243594
Appendix E-6h (i): Light Liquid TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Yes Light LiquidNo 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86

YES Yes Light LiquidNo 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86

YES Yes Light LiquidNo 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

ICR Phase II - ERT ERT TSM8 ET 1 11/17/2009

ICR Phase II - ERT ERT TSM8 ET 2 11/17/2009

ICR Phase II - ERT ERT TSM8 ET 3 11/18/2009
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

8.58372E-06 -11.66564264 0

1.86831E-05 -10.88789175 0

1.05594E-05 -11.45849641 0
Appendix E-6h (ii): Light Liquid TSM Test Average

In top 

12%?

Min Test 

Avg?

Combustor 

Design

YES Yes N/A

Number of sources with 

test data 1

n 3 Step 4

n-1 2

Average of natural log of 

test run values (μ) -11.3373436

Variance of natural log of 

test runs (σ2) 0.162232618

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 6.317235267

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.093069346

Flatness of z distribution 

(β2z) 69.87664846

Skewness of z distribution 

(√β1z) 0.769590173
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990837052 0.999280122 0.996025

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 1.29265E-05

exp (2μ + σ2) 1.67096E-10

exp (σ2) - 1 0.176133799

(σ2/n) + [σ4/(2(n - 1))] 0.060657395

Square root term 0.00

Confidence Level 99% 99.9% 99.5%

UPL 2.85E-05 3.21E-05 2.98E-05

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.47E+00 1.23E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
 Light Liquid TSM Test Averages and Calculation of UPL

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab Pollutant

Light Liquid 1 TNMilanArmyAmmunitionPlant D88L-1, Source #27-0010-86 ICR Phase II - ERT ERT TSM8

Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

1.26087E-05 -11.28112114 3 2 ET No. 2 Distillate
Appendix E-6h (iii): Light Liquid TSM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 69.876648 0.7695902

1.24311E-05 -5 =f(a) 1318.8508

4.9723E-05 1 -4.899 1199.9669

0.000104944 2 -4.798 1088.8906

0.000185654 3 -4.697 985.28858

0.000302065 4 -4.596 888.83456

0.000467726 5 -4.495 799.20916

0.000700258 6 -4.394 716.09997

0.001022121 7 -4.293 639.20154

0.001461296 8 -4.192 568.21539

0.002051802 9 -4.091 502.84998

0.002833872 10 -3.99 442.82075

0.003853597 11 -3.889 387.85008

0.005161811 12 -3.788 337.66733

0.006811973 13 -3.687 292.00881

0.008856783 14 -3.586 250.61778

0.011343344 15 -3.485 213.24447

0.014306736 16 -3.384 179.64606

0.017762024 17 -3.283 149.5867

0.021694913 18 -3.182 122.8375

0.026051525 19 -3.081 99.176522

0.030728048 20 -2.98 78.388782

0.035561331 21 -2.879 60.266265

0.040321786 22 -2.778 44.607914

0.04471015 23 -2.677 31.219629

0.048359768 24 -2.576 19.914269

0.050845944 25 -2.475 10.511654

0.051703587 26 -2.374 2.8385608

0.052953393 27 -2.273 -3.271272

0.056768097 28 -2.172 -7.977148

0.063540922 29 -2.071 -11.43141

0.0735531 30 -1.97 -13.77945

0.086924697 31 -1.869 -15.15968

0.103568711 32 -1.768 -15.70358

0.123153769 33 -1.667 -15.53565

0.145080952 34 -1.566 -14.77344

0.168479858 35 -1.465 -13.52754

0.192227833 36 -1.364 -11.90158

0.214994496 37 -1.263 -9.99223

0.235311265 38 -1.162 -7.8892

0.251662879 39 -1.061 -5.675242

0.26259506 40 -0.96 -3.426149

0.266830038 41 -0.859 -1.210756

0.270280307 42 -0.758 0.909064

0.282014209 43 -0.657 2.8783948

0.302164495 44 -0.556 4.6492807

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.330355333 45 -0.455 6.1807249

0.365698698 46 -0.354 7.4386898

0.406832755 47 -0.253 8.396097

0.452000688 48 -0.152 9.0328274

0.499164243 49 -0.051 9.3357209

0.54614252 50 0.05 9.2985768

0.590763798 51 0.151 8.9221537

0.631016718 52 0.252 8.214169

0.665187236 53 0.353 7.1892998

0.691969269 54 0.454 5.8691822

0.710539832 55 0.555 4.2824113

0.720593242 56 0.656 2.4645418

0.722333188 57 0.757 0.4580873

0.728240718 58 0.858 -1.687479

0.740747037 59 0.959 -3.915726

0.758523582 60 1.06 -6.16326

0.78007712 61 1.161 -8.359733

0.803866293 62 1.262 -10.42783

0.828409365 63 1.363 -12.28329

0.85237496 64 1.464 -13.83489

0.874650127 65 1.565 -14.98442

0.894382888 66 1.666 -15.62675

0.910999219 67 1.767 -15.64977

0.924196764 68 1.868 -14.93442

0.93391943 69 1.969 -13.35467

0.94031809 70 2.07 -10.77754

0.943703029 71 2.171 -7.063088

0.94449354 72 2.272 -2.064406

0.945817746 73 2.373 4.3723625

0.948759719 74 2.474 12.408039

0.952840638 75 2.575 22.210402

0.957626175 76 2.676 33.954192

0.962743729 77 2.777 47.821105

0.967891233 78 2.878 63.999799

0.972838832 79 2.979 82.685891

0.977425035 80 3.08 104.08195

0.981549039 81 3.181 128.39753

0.985160817 82 3.282 155.8491

0.988250347 83 3.383 186.66013

0.990837052 84 3.484 221.06102

0.992960212 85 3.585 259.28916

0.994670806 86 3.686 301.58886

0.99602499 87 3.787 348.21143

0.997079212 88 3.888 399.4151

0.997886829 89 3.989 455.46509

0.998496009 90 4.09 516.63357

0.998948658 91 4.191 583.19966

0.999280122 92 4.292 655.44944

0.999519411 93 4.393 733.67597

0.999689767 94 4.494 818.17925

0.999809403 95 4.595 909.26624

0.999892301 96 4.696 1007.2509
0.999948988 97 4.797 1112.454

0.999987251 98 4.898 1225.2035 1 99 4.999 1345.8342
distribution of Z

Normal 

distribution

1.48672E-06 0.001960761

2.45094E-06 0.002941047

3.9995E-06 0.004355021

6.46025E-06 0.006365207

1.03291E-05 0.009180851

1.63472E-05 0.01306487

2.56093E-05 0.018338791

3.97118E-05 0.025383822

6.09553E-05 0.034635712

9.26132E-05 0.046570538

0.000139285 0.061678277

0.000207351 0.080420983

0.000305546 0.103172871

0.000445674 0.130140706

0.000643469 0.1612648

0.000919619 0.196103678

0.001300942 0.233709136

0.001821704 0.272502677

0.002525035 0.310168942

0.003464389 0.34358604

0.004704958 0.368815889

0.006324913 0.381178873

0.008416337 0.375435257

0.011085658 0.346090144

0.014453386 0.287828625

0.018652949 0.196073335

0.023828414 0.067638403

0.030130931 -0.098566466

0.03771375 -0.300848157

0.046725789 -0.534141713

0.057303789 -0.78961453

0.069563239 -1.054556524

0.083588399 -1.312637127

0.099421884 -1.544583698

0.117054396 -1.729296364

0.136415346 -1.845364419

0.157365126 -1.872893935

0.179689839 -1.795502284

0.203099244 -1.602290489

0.227228529 -1.289576791

0.251644341 -0.862171011

0.275855243 -0.333993301

0.299326439 0.272106893

0.321498297 0.92539903

0.341807853 1.589160661



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 2.223282112

0.37471238 2.787369169

0.386376486 3.244054465

0.394360216 3.562187758

0.398423793 3.719573334

0.398443914 3.704961354

0.394419966 3.519075549

0.386474058 3.174563243

0.374844865 2.694872124

0.359875719 2.112176146

0.34199778 1.464575154

0.32170943 0.792866324

0.299553264 0.137221541

0.276092166 -0.46589979

0.25188591 -0.986316095

0.227469632 -1.401954584

0.203335281 -1.699828704

0.17991684 -1.876142982

0.157579839 -1.935599551

0.136615273 -1.890056652

0.117237788 -1.756740274

0.099587708 -1.556232404

0.083736272 -1.31045379

0.069693339 -1.040829836

0.05741676 -0.766782118

0.046822635 -0.504632971

0.037795734 -0.266954591

0.030199481 -0.062344

0.023885038 0.104434045

0.018699163 0.232019938

0.014490659 0.321843371

0.011115369 0.377413372

0.008439746 0.403597993

0.006343145 0.405960024

0.004718997 0.390194458

0.003475077 0.361692847

0.002533081 0.325241303

0.001827693 0.284844376

0.001305351 0.243657053

0.000922829 0.204001539

0.00064578 0.16744386

0.00044732 0.134906704

0.000306705 0.106798309

0.000208159 0.083141666

0.000139842 0.063693042

9.29928E-05 0.0480432

6.12113E-05 0.035698399

3.98826E-05 0.026141025

2.5722E-05 0.01887163

1.64209E-05 0.013435228

1.03767E-05 0.009435151

6.49066E-06 0.006537722
4.01874E-06 0.004470659

2.46298E-06 0.003017646

1.49417E-06 0.002010906
Absolute values

0.001960761 9.90184E-05

0.002941047 0.000297046

0.004355021 0.000439857

0.006365207 0.000642886

0.009180851 0.000927266

0.01306487 0.001319552

0.018338791 0.001852218

0.025383822 0.002563766

0.034635712 0.003498207

0.046570538 0.004703624

0.061678277 0.006229506

0.080420983 0.008122519

0.103172871 0.01042046

0.130140706 0.013144211

0.1612648 0.016287745

0.196103678 0.019806471

0.233709136 0.023604623

0.272502677 0.02752277

0.310168942 0.031327063

0.34358604 0.03470219

0.368815889 0.037250405

0.381178873 0.038499066

0.375435257 0.037918961

0.346090144 0.034955105

0.287828625 0.029070691

0.196073335 0.019803407

0.067638403 0.006831479

0.098566466 0.009955213

0.300848157 0.030385664

0.534141713 0.053948313

0.78961453 0.079751068

1.054556524 0.106510209

1.312637127 0.13257635

1.544583698 0.156002953

1.729296364 0.174658933

1.845364419 0.186381806

1.872893935 0.189162287

1.795502284 0.181345731

1.602290489 0.161831339

1.289576791 0.130247256

0.862171011 0.087079272

0.333993301 0.033733323

0.272106893 0.027482796

0.92539903 0.093465302

1.589160661 0.160505227



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
2.223282112 0.224551493

2.787369169 0.281524286

3.244054465 0.327649501

3.562187758 0.359780964

3.719573334 0.375676907

3.704961354 0.374201097

3.519075549 0.35542663

3.174563243 0.320630888

2.694872124 0.272182085

2.112176146 0.213329791

1.464575154 0.147922091

0.792866324 0.080079499

0.137221541 0.013859376

0.46589979 0.047055879

0.986316095 0.099617926

1.401954584 0.141597413

1.699828704 0.171682699

1.876142982 0.189490441

1.935599551 0.195495555

1.890056652 0.190895722

1.756740274 0.177430768

1.556232404 0.157179473

1.31045379 0.132355833

1.040829836 0.105123813

0.766782118 0.077444994

0.504632971 0.05096793

0.266954591 0.026962414

0.062344 0.006296744

0.104434045 0.010547839

0.232019938 0.023434014

0.321843371 0.032506181

0.377413372 0.038118751

0.403597993 0.040763397

0.405960024 0.041001962

0.390194458 0.03940964

0.361692847 0.036530978

0.325241303 0.032849372

0.284844376 0.028769282

0.243657053 0.024609362

0.204001539 0.020604155

0.16744386 0.01691183

0.134906704 0.013625577

0.106798309 0.010786629

0.083141666 0.008397308

0.063693042 0.006432997

0.0480432 0.004852363

0.035698399 0.003605538

0.026141025 0.002640244

0.01887163 0.001906035

0.013435228 0.001356958

0.009435151 0.00095295

0.006537722 0.00066031
0.004470659 0.000451537

0.003017646 0.000304782

0.002010906 0.000101551
Cumulative normalization

9.90184E-05 1.24311E-05

0.000396064 4.9723E-05

0.000835921 0.000104944

0.001478807 0.000185654

0.002406073 0.000302065

0.003725625 0.000467726

0.005577843 0.000700258

0.008141609 0.001022121

0.011639816 0.001461296

0.01634344 0.002051802

0.022572946 0.002833872

0.030695465 0.003853597

0.041115925 0.005161811

0.054260137 0.006811973

0.070547881 0.008856783

0.090354353 0.011343344

0.113958976 0.014306736

0.141481746 0.017762024

0.172808809 0.021694913

0.207510999 0.026051525

0.244761404 0.030728048

0.28326047 0.035561331

0.321179431 0.040321786

0.356134536 0.04471015

0.385205227 0.048359768

0.405008634 0.050845944

0.411840112 0.051703587

0.421795325 0.052953393

0.452180989 0.056768097

0.506129302 0.063540922

0.58588037 0.0735531

0.692390579 0.086924697

0.824966929 0.103568711

0.980969882 0.123153769

1.155628815 0.145080952

1.342010621 0.168479858

1.531172908 0.192227833

1.712518639 0.214994496

1.874349979 0.235311265

2.004597235 0.251662879

2.091676507 0.26259506

2.12540983 0.266830038

2.152892626 0.270280307

2.246357928 0.282014209

2.406863155 0.302164495

2 ( ) ( )

i

f x f b



  





2 (  ) ( )

i

f x f b



  



 
2.631414648 0.330355333

2.912938934 0.365698698

3.240588435 0.406832755

3.600369399 0.452000688

3.976046306 0.499164243

4.350247403 0.54614252

4.705674033 0.590763798

5.026304921 0.631016718

5.298487005 0.665187236

5.511816796 0.691969269

5.659738886 0.710539832

5.739818385 0.720593242

5.753677761 0.722333188

5.800733639 0.728240718

5.900351565 0.740747037

6.041948978 0.758523582

6.213631677 0.78007712

6.403122118 0.803866293

6.598617673 0.828409365

6.789513395 0.85237496

6.966944162 0.874650127

7.124123635 0.894382888

7.256479468 0.910999219

7.361603281 0.924196764

7.439048275 0.93391943

7.490016205 0.94031809

7.516978619 0.943703029

7.523275363 0.94449354

7.533823202 0.945817746

7.557257215 0.948759719

7.589763396 0.952840638

7.627882146 0.957626175

7.668645544 0.962743729

7.709647506 0.967891233

7.749057146 0.972838832

7.785588124 0.977425035

7.818437495 0.981549039

7.847206777 0.985160817

7.87181614 0.988250347

7.892420295 0.990837052

7.909332125 0.992960212

7.922957702 0.994670806

7.933744331 0.99602499

7.94214164 0.997079212

7.948574637 0.997886829

7.953427 0.998496009

7.957032538 0.998948658

7.959672782 0.999280122

7.961578817 0.999519411

7.962935775 0.999689767

7.963888725 0.999809403

7.964549035 0.999892301
7.965000571 0.999948988

7.965305354 0.999987251

7.965406904 1

401.2717368
Appendix E-7a (i): Non-Continental Liquid Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Liquid no 1 HITesoro SG1102

YES Liquid no 1 HITesoro SG1102

YES Liquid no 1 HITesoro SG1102

YES Liquid no 1 HITesoro SG1102

YES Liquid no 1 HITesoro SG1102

YES Liquid no 1 HITesoro SG1102

YES Yes Liquid no 1 HITesoro SG1102

YES Yes Liquid no 1 HITesoro SG1102

YES Yes Liquid no 1 HITesoro SG1102
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

ICR Phase II - Comments Additional PM from comments Particulate Matter (PM) filterable ET Sample #1 12/13/2010

ICR Phase II - Comments Additional PM from comments Particulate Matter (PM) filterable ET Sample #2 12/13/2010

ICR Phase II - Comments Additional PM from comments Particulate Matter (PM) filterable ET Sample #3 12/13/2010

ICR Phase II - Voluntary 2012 PM from Test Report Particulate Matter (PM) filterable ET Sample #1 1/26/2012

ICR Phase II - Voluntary 2012 PM from Test Report Particulate Matter (PM) filterable ET Sample #2 1/26/2012

ICR Phase II - Voluntary 2012 PM from Test Report Particulate Matter (PM) filterable ET Sample #3 1/26/2012

ICR Phase II - Voluntary Additional PM Data from Test Report Particulate Matter (PM) filterable ET Sample #1 10/9/2010

ICR Phase II - Voluntary Additional PM Data from Test Report Particulate Matter (PM) filterable ET Sample #2 10/9/2010

ICR Phase II - Voluntary Additional PM Data from Test Report Particulate Matter (PM) filterable ET Sample #3 10/9/2010
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

0.00413 -5.489477872 0

0.00643 -5.046780741 0

0.00584 -5.143024482 0

0.0135 -4.305065594 0

0.0153 -4.179902451 0

0.01746 -4.047842729 0

0.0038 -5.572754212 0

0.00517 -5.26488259 0

0.00333 -5.704782975 0
Appendix E-7a (ii): Non-Continental Liquid Fi

In top 

12%?

Min Test 

Avg?

YES Yes

YES

YES

Number of sources with 

test data 1

n 9

n-1 8

Average of natural log of 

test run values (μ) -4.972723738

Variance of natural log of 

test runs (σ2) 0.401570448

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 15.35346268

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.732610102

Flatness of z distribution 

(β2z) 22.95720853

Skewness of z distribution 

(√β1z) 1.418146956
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990789943 0.999291275 0.996042923

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.008463957

exp (2μ + σ2) 7.16386E-05

exp (σ2) - 1 0.494169371

(σ2/n) + [σ4/(2(n - 1))] 0.054697615

Square root term 0.011894153

Confidence Level 99% 99.9% 99.5%

UPL 2.23E-02 2.55E-02 2.35E-02

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 8.64E-01 5.12E-01

SE Skewness 0.82 0.82

Skewness Test normal normal

Kurtosis = -1.18E+00 -1.55E+00

SE Kurtosis 1.63 1.63

Kurtosis Test normal normal

Number of test runs = 9 9
ndix E-7a (ii): Non-Continental Liquid Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source

N/A Liquid 1 HITesoro SG1102 ICR Phase II - Voluntary

N/A Liquid 1 HITesoro SG1102 ICR Phase II - Comments

N/A Liquid 1 HITesoro SG1102 ICR Phase II - Voluntary

Source Tab Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1

Additional PM Data from Test Report Particulate Matter (PM) filterable 0.0041 -5.496768305 3 2

Additional PM from comments Particulate Matter (PM) filterable 0.005466667 -5.209086233 3 2

2012 PM from Test Report Particulate Matter (PM) filterable 0.01542 -4.172089911 3 2

Data Type Fuel

ET No. 6 Residual oil

ET No. 6 Residual oil

ET No. 6 Residual oil
Appendix E-7a (iii): Non-Continental Liquid Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 22.957209 1.418147

1.08816E-05 -5 =f(a) 372.48171

4.34782E-05 1 -4.899 338.41494

9.16723E-05 2 -4.798 306.61869

0.000161997 3 -4.697 276.99475

0.000263256 4 -4.596 249.44695

0.000407086 5 -4.495 223.88121

0.000608581 6 -4.394 200.20553

0.000886894 7 -4.293 178.32998

0.001265786 8 -4.192 158.16672

0.001773993 9 -4.091 139.62996

0.002445286 10 -3.99 122.63602

0.003318052 11 -3.889 107.10328

0.004434211 12 -3.788 92.952186

0.005837244 13 -3.687 80.105278

0.007569159 14 -3.586 68.487168

0.009666212 15 -3.485 58.024542

0.012153329 16 -3.384 48.646166

0.015037281 17 -3.283 40.28288

0.018298838 18 -3.182 32.867602

0.021884382 19 -3.081 26.335327

0.025697672 20 -2.98 20.623126

0.02959276 21 -2.879 15.670148

0.03336925 22 -2.778 11.417617

0.036771274 23 -2.677 7.8088353

0.039491597 24 -2.576 4.7891811

0.041182105 25 -2.475 2.3061097

0.041471611 26 -2.374 0.309153

0.042951879 27 -2.273 -1.25008

0.046535553 28 -2.172 -2.417904

0.052482553 29 -2.071 -3.238558

0.060937103 30 -1.97 -3.754201

0.071885816 31 -1.869 -4.004918

0.085120159 32 -1.768 -4.028717

0.10020813 33 -1.667 -3.861528

0.116480009 34 -1.566 -3.537206

0.133032511 35 -1.465 -3.087527

0.148754467 36 -1.364 -2.542192

0.162375379 37 -1.263 -1.928826

0.172535935 38 -1.162 -1.272974

0.177877046 39 -1.061 -0.598107

0.17861264 40 -0.96 0.0743809

0.186474278 41 -0.859 0.7251738

0.202202382 42 -0.758 1.3370315

0.226142682 43 -0.657 1.8947907

0.258185194 44 -0.556 2.3853651

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.297735781 45 -0.455 2.7977449

0.343725346 46 -0.354 3.1229972

0.394658178 47 -0.253 3.3542658

0.448697042 48 -0.152 3.4867712

0.503778754 49 -0.051 3.5178109

0.557750661 50 0.05 3.4467589

0.608516154 51 0.151 3.275066

0.654176219 52 0.252 3.0062598

0.693154437 53 0.353 2.6459447

0.724294567 54 0.454 2.2018017

0.746922713 55 0.555 1.6835888

0.760869825 56 0.656 1.1031405

0.766454261 57 0.757 0.4743682

0.768480454 58 0.858 -0.18674

0.777014615 59 0.959 -0.862119

0.790706595 60 1.06 -1.531628

0.808071465 61 1.161 -2.173047

0.827601279 62 1.262 -2.762082

0.847866512 63 1.363 -3.272362

0.867599724 64 1.464 -3.675436

0.885756533 65 1.565 -3.94078

0.9015517 66 1.666 -4.035792

0.914470754 67 1.767 -3.925793

0.924259765 68 1.868 -3.574027

0.930897518 69 1.969 -2.941662

0.934555282 70 2.07 -1.987788

0.935549612 71 2.171 -0.66942

0.936805881 72 2.272 1.0585058

0.939850126 73 2.373 3.2431278

0.94421061 74 2.474 5.9336627

0.949439228 75 2.575 9.1814033

0.955135382 76 2.676 13.039719

0.960961026 77 2.777 17.564057

0.966647677 78 2.878 22.811941

0.971996759 79 2.979 28.842969

0.976874866 80 3.08 35.718819

0.981205588 81 3.181 43.503245

0.984959462 82 3.282 52.262076

0.988143303 83 3.383 62.06322

0.990789943 84 3.484 72.97666

0.992949048 85 3.585 85.074457

0.994679417 86 3.686 98.430749

0.996042923 87 3.787 113.12175

0.997100064 88 3.888 129.22575

0.997906967 89 3.989 146.82311

0.998513615 90 4.09 165.99629

0.998963051 91 4.191 186.82979

0.999291275 92 4.292 209.41023

0.999527643 93 4.393 233.82627

0.999695539 94 4.494 260.16867

0.999813202 95 4.595 288.53025

0.999894574 96 4.696 319.00592
0.999950119 97 4.797 351.69266

0.999987548 98 4.898 386.68952 1 99 4.999 424.09765
distribution of Z

Normal 

distribution

1.48672E-06 0.000553776

2.45094E-06 0.000829435

3.9995E-06 0.001226322

6.46025E-06 0.001789454

1.03291E-05 0.00257656

1.63472E-05 0.003659842

2.56093E-05 0.005127116

3.97118E-05 0.007081799

6.09553E-05 0.009641092

9.26132E-05 0.012931576

0.000139285 0.017081356

0.000207351 0.022207939

0.000305546 0.02840116

0.000445674 0.035700832

0.000643469 0.044069377

0.000919619 0.053360475

0.001300942 0.063285849

0.001821704 0.073383477

0.002525035 0.08299183

0.003464389 0.091235813

0.004704958 0.097030932

0.006324913 0.099112318

0.008416337 0.096094517

0.011085658 0.086566081

0.014453386 0.069219885

0.018652949 0.043015746

0.023828414 0.007366627

0.030130931 -0.037666079

0.03771375 -0.091188245

0.046725789 -0.151324162

0.057303789 -0.215129923

0.069563239 -0.278595057

0.083588399 -0.336753981

0.099421884 -0.383920383

0.117054396 -0.414045466

0.136415346 -0.421186056

0.157365126 -0.400052428

0.179689839 -0.346590389

0.203099244 -0.258540048

0.227228529 -0.135907029

0.251644341 0.018717537

0.275855243 0.200042998

0.299326439 0.400208872

0.321498297 0.60917199

0.341807853 0.81533652



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 1.006382945

0.37471238 1.170225702

0.386376486 1.296009417

0.394360216 1.375043857

0.398423793 1.401579567

0.398443914 1.373340099

0.394419966 1.29175141

0.386474058 1.161841419

0.374844865 0.991818769

0.359875719 0.792374972

0.34199778 0.575783626

0.32170943 0.354890699

0.299553264 0.142098547

0.276092166 -0.051557434

0.25188591 -0.217155649

0.227469632 -0.348398762

0.203335281 -0.441857132

0.17991684 -0.496945128

0.157579839 -0.51565821

0.136615273 -0.5021207

0.117237788 -0.462008379

0.099587708 -0.401915325

0.083736272 -0.3287313

0.069693339 -0.249085894

0.05741676 -0.168900695

0.046822635 -0.093073474

0.037795734 -0.025301209

0.030199481 0.031966325

0.023885038 0.077462232

0.018699163 0.110954524

0.014490659 0.133044586

0.011115369 0.144941293

0.008439746 0.148236188

0.006343145 0.144699453

0.004718997 0.13610988

0.003475077 0.124125661

0.002533081 0.110197232

0.001827693 0.095519053

0.001305351 0.081014308

0.000922829 0.067344983

0.00064578 0.054939418

0.00044732 0.044030034

0.000306705 0.034695046

0.000208159 0.026899443

0.000139842 0.020532003

9.29928E-05 0.015436459

6.12113E-05 0.011436091

3.98826E-05 0.008351824

2.5722E-05 0.006014485

1.64209E-05 0.0042722

1.03767E-05 0.002993982

6.49066E-06 0.002070559
4.01874E-06 0.00141336

2.46298E-06 0.000952407

1.49417E-06 0.000633674
Absolute values

0.000553776 2.79657E-05

0.000829435 8.37729E-05

0.001226322 0.000123859

0.001789454 0.000180735

0.00257656 0.000260233

0.003659842 0.000369644

0.005127116 0.000517839

0.007081799 0.000715262

0.009641092 0.00097375

0.012931576 0.001306089

0.017081356 0.001725217

0.022207939 0.002243002

0.02840116 0.002868517

0.035700832 0.003605784

0.044069377 0.004451007

0.053360475 0.005389408

0.063285849 0.006391871

0.073383477 0.007411731

0.08299183 0.008382175

0.091235813 0.009214817

0.097030932 0.009800124

0.099112318 0.010010344

0.096094517 0.009705546

0.086566081 0.008743174

0.069219885 0.006991208

0.043015746 0.00434459

0.007366627 0.000744029

0.037666079 0.003804274

0.091188245 0.009210013

0.151324162 0.01528374

0.215129923 0.021728122

0.278595057 0.028138101

0.336753981 0.034012152

0.383920383 0.038775959

0.414045466 0.041818592

0.421186056 0.042539792

0.400052428 0.040405295

0.346590389 0.035005629

0.258540048 0.026112545

0.135907029 0.01372661

0.018717537 0.001890471

0.200042998 0.020204343

0.400208872 0.040421096

0.60917199 0.061526371

0.81533652 0.082348988



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
1.006382945 0.101644677

1.170225702 0.118192796

1.296009417 0.130896951

1.375043857 0.13887943

1.401579567 0.141559536

1.373340099 0.13870735

1.29175141 0.130466892

1.161841419 0.117345983

0.991818769 0.100173696

0.792374972 0.080029872

0.575783626 0.058154146

0.354890699 0.035843961

0.142098547 0.014351953

0.051557434 0.005207301

0.217155649 0.021932721

0.348398762 0.035188275

0.441857132 0.04462757

0.496945128 0.050191458

0.51565821 0.052081479

0.5021207 0.050714191

0.462008379 0.046662846

0.401915325 0.040593448

0.3287313 0.033201861

0.249085894 0.025157675

0.168900695 0.01705897

0.093073474 0.009400421

0.025301209 0.002555422

0.031966325 0.003228599

0.077462232 0.007823685

0.110954524 0.011206407

0.133044586 0.013437503

0.144941293 0.014639071

0.148236188 0.014971855

0.144699453 0.014614645

0.13610988 0.013747098

0.124125661 0.012536692

0.110197232 0.01112992

0.095519053 0.009647424

0.081014308 0.008182445

0.067344983 0.006801843

0.054939418 0.005548881

0.044030034 0.004447033

0.034695046 0.0035042

0.026899443 0.002716844

0.020532003 0.002073732

0.015436459 0.001559082

0.011436091 0.001155045

0.008351824 0.000843534

0.006014485 0.000607463

0.0042722 0.000431492

0.002993982 0.000302392

0.002070559 0.000209126
0.00141336 0.000142749

0.000952407 9.61931E-05

0.000633674 3.20006E-05
Cumulative normalization

2.79657E-05 1.08816E-05

0.000111739 4.34782E-05

0.000235597 9.16723E-05

0.000416332 0.000161997

0.000676565 0.000263256

0.001046209 0.000407086

0.001564047 0.000608581

0.002279309 0.000886894

0.003253059 0.001265786

0.004559148 0.001773993

0.006284365 0.002445286

0.008527367 0.003318052

0.011395884 0.004434211

0.015001668 0.005837244

0.019452675 0.007569159

0.024842083 0.009666212

0.031233954 0.012153329

0.038645685 0.015037281

0.04702786 0.018298838

0.056242677 0.021884382

0.066042802 0.025697672

0.076053146 0.02959276

0.085758692 0.03336925

0.094501866 0.036771274

0.101493074 0.039491597

0.105837665 0.041182105

0.106581694 0.041471611

0.110385968 0.042951879

0.119595981 0.046535553

0.134879721 0.052482553

0.156607843 0.060937103

0.184745944 0.071885816

0.218758096 0.085120159

0.257534055 0.10020813

0.299352647 0.116480009

0.341892439 0.133032511

0.382297734 0.148754467

0.417303363 0.162375379

0.443415908 0.172535935

0.457142518 0.177877046

0.459032989 0.17861264

0.479237332 0.186474278

0.519658428 0.202202382

0.581184799 0.226142682

0.663533788 0.258185194

2 ( ) ( )

i

f x f b



  



 
0.765178465 0.297735781

0.883371261 0.343725346

1.014268212 0.394658178

1.153147642 0.448697042

1.294707178 0.503778754

1.433414528 0.557750661

1.56388142 0.608516154

1.681227403 0.654176219

1.781401099 0.693154437

1.861430971 0.724294567

1.919585117 0.746922713

1.955429078 0.760869825

1.969781031 0.766454261

1.974988332 0.768480454

1.996921053 0.777014615

2.032109328 0.790706595

2.076736898 0.808071465

2.126928356 0.827601279

2.179009835 0.847866512

2.229724026 0.867599724

2.276386872 0.885756533

2.31698032 0.9015517

2.350182181 0.914470754

2.375339856 0.924259765

2.392398827 0.930897518

2.401799247 0.934555282

2.40435467 0.935549612

2.407583268 0.936805881

2.415406954 0.939850126

2.426613361 0.94421061

2.440050864 0.949439228

2.454689934 0.955135382

2.46966179 0.960961026

2.484276434 0.966647677

2.498023532 0.971996759

2.510560224 0.976874866

2.521690144 0.981205588

2.531337569 0.984959462

2.539520014 0.988143303

2.546321857 0.990789943

2.551870738 0.992949048

2.556317772 0.994679417

2.559821971 0.996042923

2.562538815 0.997100064

2.564612547 0.997906967

2.56617163 0.998513615

2.567326675 0.998963051

2.568170209 0.999291275

2.568777672 0.999527643

2.569209164 0.999695539

2.569511556 0.999813202

2.569720683 0.999894574
2.569863432 0.999950119

2.569959625 0.999987548

2.569991626 1

128.2759359
Appendix E-7b (i): Non-Continental Liquid CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Liquid N/A no 1 HITesoro

YES Liquid N/A no 1 HITesoro

YES Liquid N/A no 1 HITesoro

YES Liquid N/A no 1 HITesoro

YES Liquid N/A no 1 HITesoro

YES Liquid N/A no 1 HITesoro

YES Yes Liquid N/A no 1 HITesoro

YES Yes Liquid N/A no 1 HITesoro

YES Yes Liquid N/A no 1 HITesoro
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

SG1102 ICR Phase II - Voluntary 2012 CO from Test Report CO ET Sample #1

SG1102 ICR Phase II - Voluntary 2012 CO from Test Report CO ET Sample #2

SG1102 ICR Phase II - Voluntary 2012 CO from Test Report CO ET Sample #3

SG1102 ICR Phase II - Voluntary Additional CO Data from Test Report (1) CO ET Sample #1

SG1102 ICR Phase II - Voluntary Additional CO Data from Test Report (1) CO ET Sample #2

SG1102 ICR Phase II - Voluntary Additional CO Data from Test Report (1) CO ET Sample #3

SG1102 ICR Phase II - Voluntary Additional CO Data from Test Report (2) CO ET Sample #1

SG1102 ICR Phase II - Voluntary Additional CO Data from Test Report (2) CO ET Sample #2

SG1102 ICR Phase II - Voluntary Additional CO Data from Test Report (2) CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

1/26/2012 19.30138623 2.960176919 0

1/26/2012 19.33604693 2.96197107 0

1/26/2012 19.37083233 2.963768447 0

10/7/2010 10.72782313 2.372840659 0

10/8/2010 8.59153581 2.15077751 0

10/8/2010 8.674593968 2.16039852 0

10/9/2010 8.388071794 2.126810672 0

10/9/2010 8.547885177 2.145683905 0

10/9/2010 8.602518216 2.152054976 0
Appendix E-7b (ii): Non-Continental Liquid CO Te

In top 

12%?

Min Test 

Avg?

Combustor 

Design

YES Yes N/A

YES N/A

YES N/A

Number of sources with 

test data 1

n 9

n-1 8

Average of natural log of 

test run values (μ) 2.443831409

Variance of natural log of 

test runs (σ2) 0.156399745

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 6.168534388

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.085980897

Flatness of z distribution 

(β2z) 73.74307998

Skewness of z distribution 

(√β1z) 0.752873509
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990836376 0.999279811 0.996024

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 12.4538683

exp (2μ + σ2) 155.0988356

exp (σ2) - 1 0.169293529

(σ2/n) + [σ4/(2(n - 1))] 0.018906555

Square root term 10.25

Confidence Level 99% 99.9% 99.5%

UPL 2.44E+01 2.71E+01 2.54E+01

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 7.95E-01 7.43E-01

SE Skewness 0.82 0.82

Skewness Test normal normal

Kurtosis = -1.74E+00 -1.78E+00

SE Kurtosis 1.63 1.63

Kurtosis Test normal normal

Number of test runs = 9 9
 Non-Continental Liquid CO Test Averages and Calculation of UPL

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab Pollutant

Liquid 1 HITesoro SG1102 ICR Phase II - Voluntary Additional CO Data from Test Report (2) CO

Liquid 1 HITesoro SG1102 ICR Phase II - Voluntary Additional CO Data from Test Report (1) CO

Liquid 1 HITesoro SG1102 ICR Phase II - Voluntary 2012 CO from Test Report CO

Test Average

Test Average - 

Rounded

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

8.512825062 9 2.141573857 3 2 ET No. 6 Residual oil

9.331317636 9 2.233376231 3 2 ET No. 6 Residual oil

19.3360885 9 2.96197322 3 2 ET No. 6 Residual oil
Appendix E-7b (iii): Non-Continental Liquid CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 73.74308 0.7528735

1.24579E-05 -5 =f(a) 1396.1637

4.9831E-05 1 -4.899 1270.3339

0.000105173 2 -4.798 1152.7663

0.000186062 3 -4.697 1043.108

0.000302734 4 -4.596 941.0139

0.000468768 5 -4.495 846.14609

0.000701832 6 -4.394 758.17402

0.001024437 7 -4.293 676.77452

0.001464637 8 -4.192 601.6318

0.002056539 9 -4.091 532.4374

0.002840481 10 -3.99 468.89024

0.003862679 11 -3.889 410.6966

0.005174112 12 -3.788 357.57011

0.006828395 13 -3.687 309.23178

0.008878393 14 -3.586 265.40996

0.011371368 15 -3.485 225.84039

0.014342541 16 -3.384 190.26614

0.017807073 17 -3.283 158.43766

0.021750698 18 -3.182 130.11276

0.026119461 19 -3.081 105.05661

0.030809328 20 -2.98 83.041736

0.035656747 21 -2.879 63.848038

0.040431498 22 -2.778 47.262768

0.044833421 23 -2.677 33.08054

0.048494669 24 -2.576 21.103332

0.050989033 25 -2.475 11.140483

0.051849594 26 -2.374 3.0086937

0.053103881 27 -2.273 -3.467974

0.056932841 28 -2.172 -8.458098

0.063732252 29 -2.071 -12.12289

0.073785965 30 -1.97 -14.61621

0.087216609 31 -1.869 -16.08454

0.103939538 32 -1.768 -16.66702

0.123625358 33 -1.667 -16.49541

0.145676608 34 -1.566 -15.69412

0.169223668 35 -1.465 -14.3802

0.19314388 36 -1.364 -12.66334

0.216105995 37 -1.263 -10.64584

0.236639686 38 -1.162 -8.42268

0.2532271 39 -1.061 -6.081454

0.264410628 40 -0.96 -3.702399

0.268908582 41 -0.859 -1.358393

0.272088543 42 -0.758 0.885051

0.283549244 43 -0.657 2.9697787

0.303427768 44 -0.556 4.8449987

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.331352262 45 -0.455 6.467281

0.366438119 46 -0.354 7.800557

0.407326188 47 -0.253 8.8161199

0.452261505 48 -0.152 9.4926241

0.499206796 49 -0.051 9.8160859

0.54598131 50 0.05 9.7798828

0.590412733 51 0.151 9.3847543

0.630488536 52 0.252 8.6388009

0.664493107 53 0.353 7.5574852

0.691118596 54 0.454 6.1636309

0.709540257 55 0.555 4.4874236

0.719450819 56 0.656 2.5664103

0.721052698 57 0.757 0.4454995

0.727094388 58 0.858 -1.823039

0.739731393 59 0.959 -4.179573

0.757635153 60 1.06 -6.557109

0.779312062 61 1.161 -8.881293

0.803220097 62 1.262 -11.07041

0.827876668 63 1.363 -13.03538

0.85194947 64 1.464 -14.67976

0.874324648 65 1.565 -15.89976

0.894149445 66 1.666 -16.5842

0.910849246 67 1.767 -16.61458

0.924121341 68 1.868 -15.86499

0.933909536 69 1.969 -14.2022

0.940364852 70 2.07 -11.48559

0.94379795 71 2.171 -7.567195

0.944628685 72 2.272 -2.291684

0.945919898 73 2.373 4.5036376

0.948835313 74 2.474 12.988825

0.952895271 75 2.575 23.341295

0.957664604 76 2.676 35.745824

0.962769905 77 2.777 50.394554

0.967908367 78 2.878 67.486985

0.97284947 79 2.979 87.22998

0.977431148 80 3.08 109.83776

0.981552114 81 3.181 135.53192

0.985161946 82 3.282 164.5414

0.988250307 83 3.383 197.10251

0.990836376 84 3.484 233.45892

0.992959251 85 3.585 273.86166

0.99466978 86 3.686 318.56913

0.996024025 87 3.787 367.84708

0.99707837 88 3.888 421.96863

0.997886133 89 3.989 481.21426

0.998495457 90 4.09 545.8718

0.998948237 91 4.191 616.23646

0.999279811 92 4.292 692.6108

0.99951919 93 4.393 775.30474

0.999689617 94 4.494 864.63558

0.999809307 95 4.595 960.92796

0.999892244 96 4.696 1064.5139
0.99994896 97 4.797 1175.7327

0.999987244 98 4.898 1294.9312 1 99 4.999 1422.4635
distribution of Z

Normal 

distribution

1.48672E-06 0.002075704

2.45094E-06 0.003113512

3.9995E-06 0.004610492

6.46025E-06 0.006738735

1.03291E-05 0.009719816

1.63472E-05 0.013832159

2.56093E-05 0.019416276

3.97118E-05 0.026875912

6.09553E-05 0.036672618

9.26132E-05 0.049310724

0.000139285 0.065309367

0.000207351 0.085158224

0.000305546 0.109254083

0.000445674 0.137816534

0.000643469 0.170783113

0.000919619 0.207687125

0.001300942 0.247525239

0.001821704 0.288626489

0.002525035 0.328539207

0.003464389 0.363956938

0.004704958 0.39070784

0.006324913 0.403833273

0.008416337 0.397779398

0.011085658 0.366719566

0.014453386 0.305014613

0.018652949 0.207802862

0.023828414 0.0716924

0.030130931 -0.104493297

0.03771375 -0.318986581

0.046725789 -0.566451654

0.057303789 -0.837564093

0.069563239 -1.118892696

0.083588399 -1.393169333

0.099421884 -1.640004702

0.117054396 -1.837066093

0.136415346 -1.961680441

0.157365126 -1.992767317

0.179689839 -1.912949317

0.203099244 -1.710639932

0.227228529 -1.381879759

0.251644341 -0.931687776

0.275855243 -0.374719725

0.299326439 0.264919172

0.321498297 0.954778782

0.341807853 1.656058593



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 2.326359814

0.37471238 2.922965291

0.386376486 3.406341419

0.394360216 3.743513302

0.398423793 3.910962171

0.398443914 3.896734799

0.394419966 3.701534456

0.386474058 3.338672445

0.374844865 2.832884501

0.359875719 2.218141103

0.34199778 1.534688913

0.32170943 0.825638387

0.299553264 0.133450821

0.276092166 -0.503326703

0.25188591 -1.052775434

0.227469632 -1.491543145

0.203335281 -1.805880182

0.17991684 -1.991752875

0.157579839 -2.054112631

0.136615273 -2.005479415

0.117237788 -1.864052215

0.099587708 -1.651582714

0.083736272 -1.391242605

0.069693339 -1.105684054

0.05741676 -0.81544409

0.046822635 -0.537785509

0.037795734 -0.286007683

0.030199481 -0.069207667

0.023885038 0.107569557

0.018699163 0.242880151

0.014490659 0.338230744

0.011115369 0.39732803

0.008439746 0.425317253

0.006343145 0.428079753

0.004718997 0.411638003

0.003475077 0.381694727

0.002533081 0.343313298

0.001827693 0.300731232

0.001305351 0.257288027

0.000922829 0.215442675

0.00064578 0.176854495

0.00044732 0.142502315

0.000306705 0.112820669

0.000208159 0.087836376

0.000139842 0.06729385

9.29928E-05 0.050762145

6.12113E-05 0.037720624

3.98826E-05 0.027623116

2.5722E-05 0.019942406

1.64209E-05 0.014198082

1.03767E-05 0.009971227

6.49066E-06 0.006909396
4.01874E-06 0.00472496

2.46298E-06 0.003189383

1.49417E-06 0.002125404
Absolute values

0.002075704 0.000104823

0.003113512 0.000314465

0.004610492 0.00046566

0.006738735 0.000680612

0.009719816 0.000981701

0.013832159 0.001397048

0.019416276 0.001961044

0.026875912 0.002714467

0.036672618 0.003703934

0.049310724 0.004980383

0.065309367 0.006596246

0.085158224 0.008600981

0.109254083 0.011034662

0.137816534 0.01391947

0.170783113 0.017249094

0.207687125 0.0209764

0.247525239 0.025000049

0.288626489 0.029151275

0.328539207 0.03318246

0.363956938 0.036759651

0.39070784 0.039461492

0.403833273 0.040787161

0.397779398 0.040175719

0.366719566 0.037038676

0.305014613 0.030806476

0.207802862 0.020988089

0.0716924 0.007240932

0.104493297 0.010553823

0.318986581 0.032217645

0.566451654 0.057211617

0.837564093 0.084593973

1.118892696 0.113008162

1.393169333 0.140710103

1.640004702 0.165640475

1.837066093 0.185543675

1.961680441 0.198129725

1.992767317 0.201269499

1.912949317 0.193207881

1.710639932 0.172774633

1.381879759 0.139569856

0.931687776 0.094100465

0.374719725 0.037846692

0.264919172 0.026756836

0.954778782 0.096432657

1.656058593 0.167261918



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
2.326359814 0.234962341

2.922965291 0.295219494

3.406341419 0.344040483

3.743513302 0.378094843

3.910962171 0.395007179

3.896734799 0.393570215

3.701534456 0.37385498

3.338672445 0.337205917

2.832884501 0.286121335

2.218141103 0.224032251

1.534688913 0.15500358

0.825638387 0.083389477

0.133450821 0.013478533

0.503326703 0.050835997

1.052775434 0.106330319

1.491543145 0.150645858

1.805880182 0.182393898

1.991752875 0.20116704

2.054112631 0.207465376

2.005479415 0.202553421

1.864052215 0.188269274

1.651582714 0.166809854

1.391242605 0.140515503

1.105684054 0.111674089

0.81544409 0.082359853

0.537785509 0.054316336

0.286007683 0.028886776

0.069207667 0.006989974

0.107569557 0.010864525

0.242880151 0.024530895

0.338230744 0.034161305

0.39732803 0.040130131

0.425317253 0.042957043

0.428079753 0.043236055

0.411638003 0.041575438

0.381694727 0.038551167

0.343313298 0.034674643

0.300731232 0.030373854

0.257288027 0.025986091

0.215442675 0.02175971

0.176854495 0.017862304

0.142502315 0.014392734

0.112820669 0.011394888

0.087836376 0.008871474

0.06729385 0.006796679

0.050762145 0.005126977

0.037720624 0.003809783

0.027623116 0.002789935

0.019942406 0.002014183

0.014198082 0.001434006

0.009971227 0.001007094

0.006909396 0.000697849
0.00472496 0.000477221

0.003189383 0.000322128

0.002125404 0.000107333
Cumulative normalization

0.000104823 1.24579E-05

0.000419288 4.9831E-05

0.000884947 0.000105173

0.00156556 0.000186062

0.002547261 0.000302734

0.003944309 0.000468768

0.005905353 0.000701832

0.00861982 0.001024437

0.012323755 0.001464637

0.017304138 0.002056539

0.023900384 0.002840481

0.032501364 0.003862679

0.043536027 0.005174112

0.057455497 0.006828395

0.074704591 0.008878393

0.095680991 0.011371368

0.12068104 0.014342541

0.149832315 0.017807073

0.183014775 0.021750698

0.219774426 0.026119461

0.259235918 0.030809328

0.300023078 0.035656747

0.340198798 0.040431498

0.377237474 0.044833421

0.40804395 0.048494669

0.429032039 0.050989033

0.436272971 0.051849594

0.446826794 0.053103881

0.479044439 0.056932841

0.536256056 0.063732252

0.620850029 0.073785965

0.733858191 0.087216609

0.874568294 0.103939538

1.040208769 0.123625358

1.225752444 0.145676608

1.423882169 0.169223668

1.625151668 0.19314388

1.818359549 0.216105995

1.991134182 0.236639686

2.130704038 0.2532271

2.224804503 0.264410628

2.262651195 0.268908582

2.289408032 0.272088543

2.385840689 0.283549244

2.553102606 0.303427768

2 ( ) ( )

i

f x f b



  





2 (  ) ( )

i

f x f b



  



 
2.788064948 0.331352262

3.083284442 0.366438119

3.427324925 0.407326188

3.805419769 0.452261505

4.200426948 0.499206796

4.593997163 0.54598131

4.967852143 0.590412733

5.30505806 0.630488536

5.591179394 0.664493107

5.815211646 0.691118596

5.970215226 0.709540257

6.053604703 0.719450819

6.067083236 0.721052698

6.117919233 0.727094388

6.224249552 0.739731393

6.374895409 0.757635153

6.557289308 0.779312062

6.758456348 0.803220097

6.965921724 0.827876668

7.168475145 0.85194947

7.356744419 0.874324648

7.523554273 0.894149445

7.664069776 0.910849246

7.775743865 0.924121341

7.858103718 0.933909536

7.912420055 0.940364852

7.941306831 0.94379795

7.948296805 0.944628685

7.95916133 0.945919898

7.983692226 0.948835313

8.017853531 0.952895271

8.057983662 0.957664604

8.100940704 0.962769905

8.144176759 0.967908367

8.185752197 0.97284947

8.224303365 0.977431148

8.258978008 0.981552114

8.289351862 0.985161946

8.315337953 0.988250307

8.337097663 0.990836376

8.354959967 0.992959251

8.369352701 0.99466978

8.380747589 0.996024025

8.389619063 0.99707837

8.396415741 0.997886133

8.401542718 0.998495457

8.405352501 0.998948237

8.408142436 0.999279811

8.410156619 0.99951919

8.411590625 0.999689617

8.412597719 0.999809307

8.413295568 0.999892244
8.413772789 0.99994896

8.414094917 0.999987244

8.41420225 1

423.9537901
Appendix E-7c (i): Non-Continental Liquid TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID UnitID

YES Yes Liquid No 1 HIChevronKapolei AG-5060-1

YES Yes Liquid No 2 HIChevronKapolei AG-5060-2

YES Yes Liquid No 3 HIChevronKapolei F-5103

YES Yes Liquid No 4 HIChevronKapolei F-5153

YES Yes Liquid No 5 HIChevronKapolei F-5201

YES Yes Liquid No 6 HIChevronKapolei F-5202

YES Yes Liquid No 7 HIChevronKapolei F-5203

YES Yes Liquid No 8 HIChevronKapolei F-5300
Data Source Source Tab Pollutant

Data 

Type Run Number Test Date

Test 

Burning 

Waste?

Fuel Analysis Fuel Analysis TSM8 FA Sample #1 1/31/2012

Fuel Analysis Fuel Analysis TSM8 FA Sample #1 1/31/2012

Fuel Analysis Fuel Analysis TSM8 FA Sample #1 1/31/2012

Fuel Analysis Fuel Analysis TSM8 FA Sample #1 1/31/2012

Fuel Analysis Fuel Analysis TSM8 FA Sample #1 1/31/2012

Fuel Analysis Fuel Analysis TSM8 FA Sample #1 1/31/2012

Fuel Analysis Fuel Analysis TSM8 FA Sample #1 1/31/2012

Fuel Analysis Fuel Analysis TSM8 FA Sample #1 1/31/2012
NonDetect?

Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

0.000851714 -7.06825985 0

0.000851714 -7.06825985 0

0.000851714 -7.06825985 0

0.000851714 -7.06825985 0

0.000851714 -7.06825985 0

0.000851714 -7.06825985 0

0.000851714 -7.06825985 0

0.000851714 -7.06825985 0
Appendix E-7c (ii): Non-Continental Liquid TS

In top 

12%?

Min Test 

Avg?

YES Yes

YES Yes

YES Yes

YES Yes

YES Yes

Number of sources with 

test data 1 YES Yes

n 8 YES Yes

n-1 7 YES Yes

Average of natural log of 

test run values (μ) -7.06825985

Variance of natural log of 

test runs (σ2) 0

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3

Denominator for 

calculation of flatness of z 

distribution (β2z) 0

Flatness of z distribution 

(β2z) #DIV/0!

Skewness of z distribution 

(√β1z) 0
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0 0 0

z-value #N/A #N/A #N/A

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.000851714

exp (2μ + σ2) 7.25417E-07

exp (σ2) - 1 0

(σ2/n) + [σ4/(2(n - 1))] 0

Square root term 0

Confidence Level 99% 99.9% 99.5%

UPL #N/A #N/A #N/A

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -1.25E+00 #DIV/0!

SE Skewness 0.87 0.87

Skewness Test normal #DIV/0!

Kurtosis = -2.80E+00 #DIV/0!

SE Kurtosis 1.73 1.73

Kurtosis Test normal #DIV/0!

Number of test runs = 8 8
ndix E-7c (ii): Non-Continental Liquid TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Heavy Liquid 1 HIChevronKapolei AG-5060-1 Fuel Analysis Fuel Analysis

N/A Heavy Liquid 2 HIChevronKapolei AG-5060-2 Fuel Analysis Fuel Analysis

N/A Heavy Liquid 3 HIChevronKapolei F-5103 Fuel Analysis Fuel Analysis

N/A Heavy Liquid 4 HIChevronKapolei F-5153 Fuel Analysis Fuel Analysis

N/A Heavy Liquid 5 HIChevronKapolei F-5201 Fuel Analysis Fuel Analysis

N/A Heavy Liquid 6 HIChevronKapolei F-5202 Fuel Analysis Fuel Analysis

N/A Heavy Liquid 7 HIChevronKapolei F-5203 Fuel Analysis Fuel Analysis

N/A Heavy Liquid 8 HIChevronKapolei F-5300 Fuel Analysis Fuel Analysis

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 0.000851714 -7.06825985 1 0 FA No. 6 Residual oil

TSM8 0.000851714 -7.06825985 1 0 FA No. 6 Residual oil

TSM8 0.000851714 -7.06825985 1 0 FA No. 6 Residual oil

TSM8 0.000851714 -7.06825985 1 0 FA No. 6 Residual oil

TSM8 0.000851714 -7.06825985 1 0 FA No. 6 Residual oil

TSM8 0.000851714 -7.06825985 1 0 FA No. 6 Residual oil

TSM8 0.000851714 -7.06825985 1 0 FA No. 6 Residual oil

TSM8 0.000851714 -7.06825985 1 0 FA No. 6 Residual oil
Appendix E-7c (iii): Non-Continental Liquid TSM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 #DIV/0! 0

#DIV/0! -5 =f(a) #DIV/0!

#DIV/0! 1 -4.899 #DIV/0!

#DIV/0! 2 -4.798 #DIV/0!

#DIV/0! 3 -4.697 #DIV/0!

#DIV/0! 4 -4.596 #DIV/0!

#DIV/0! 5 -4.495 #DIV/0!

#DIV/0! 6 -4.394 #DIV/0!

#DIV/0! 7 -4.293 #DIV/0!

#DIV/0! 8 -4.192 #DIV/0!

#DIV/0! 9 -4.091 #DIV/0!

#DIV/0! 10 -3.99 #DIV/0!

#DIV/0! 11 -3.889 #DIV/0!

#DIV/0! 12 -3.788 #DIV/0!

#DIV/0! 13 -3.687 #DIV/0!

#DIV/0! 14 -3.586 #DIV/0!

#DIV/0! 15 -3.485 #DIV/0!

#DIV/0! 16 -3.384 #DIV/0!

#DIV/0! 17 -3.283 #DIV/0!

#DIV/0! 18 -3.182 #DIV/0!

#DIV/0! 19 -3.081 #DIV/0!

#DIV/0! 20 -2.98 #DIV/0!

#DIV/0! 21 -2.879 #DIV/0!

#DIV/0! 22 -2.778 #DIV/0!

#DIV/0! 23 -2.677 #DIV/0!

#DIV/0! 24 -2.576 #DIV/0!

#DIV/0! 25 -2.475 #DIV/0!

#DIV/0! 26 -2.374 #DIV/0!

#DIV/0! 27 -2.273 #DIV/0!

#DIV/0! 28 -2.172 #DIV/0!

#DIV/0! 29 -2.071 #DIV/0!

#DIV/0! 30 -1.97 #DIV/0!

#DIV/0! 31 -1.869 #DIV/0!

#DIV/0! 32 -1.768 #DIV/0!

#DIV/0! 33 -1.667 #DIV/0!

#DIV/0! 34 -1.566 #DIV/0!

#DIV/0! 35 -1.465 #DIV/0!

#DIV/0! 36 -1.364 #DIV/0!

#DIV/0! 37 -1.263 #DIV/0!

#DIV/0! 38 -1.162 #DIV/0!

#DIV/0! 39 -1.061 #DIV/0!

#DIV/0! 40 -0.96 #DIV/0!

#DIV/0! 41 -0.859 #DIV/0!

#DIV/0! 42 -0.758 #DIV/0!

#DIV/0! 43 -0.657 #DIV/0!

#DIV/0! 44 -0.556 #DIV/0!

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
#DIV/0! 45 -0.455 #DIV/0!

#DIV/0! 46 -0.354 #DIV/0!

#DIV/0! 47 -0.253 #DIV/0!

#DIV/0! 48 -0.152 #DIV/0!

#DIV/0! 49 -0.051 #DIV/0!

#DIV/0! 50 0.05 #DIV/0!

#DIV/0! 51 0.151 #DIV/0!

#DIV/0! 52 0.252 #DIV/0!

#DIV/0! 53 0.353 #DIV/0!

#DIV/0! 54 0.454 #DIV/0!

#DIV/0! 55 0.555 #DIV/0!

#DIV/0! 56 0.656 #DIV/0!

#DIV/0! 57 0.757 #DIV/0!

#DIV/0! 58 0.858 #DIV/0!

#DIV/0! 59 0.959 #DIV/0!

#DIV/0! 60 1.06 #DIV/0!

#DIV/0! 61 1.161 #DIV/0!

#DIV/0! 62 1.262 #DIV/0!

#DIV/0! 63 1.363 #DIV/0!

#DIV/0! 64 1.464 #DIV/0!

#DIV/0! 65 1.565 #DIV/0!

#DIV/0! 66 1.666 #DIV/0!

#DIV/0! 67 1.767 #DIV/0!

#DIV/0! 68 1.868 #DIV/0!

#DIV/0! 69 1.969 #DIV/0!

#DIV/0! 70 2.07 #DIV/0!

#DIV/0! 71 2.171 #DIV/0!

#DIV/0! 72 2.272 #DIV/0!

#DIV/0! 73 2.373 #DIV/0!

#DIV/0! 74 2.474 #DIV/0!

#DIV/0! 75 2.575 #DIV/0!

#DIV/0! 76 2.676 #DIV/0!

#DIV/0! 77 2.777 #DIV/0!

#DIV/0! 78 2.878 #DIV/0!

#DIV/0! 79 2.979 #DIV/0!

#DIV/0! 80 3.08 #DIV/0!

#DIV/0! 81 3.181 #DIV/0!

#DIV/0! 82 3.282 #DIV/0!

#DIV/0! 83 3.383 #DIV/0!

#DIV/0! 84 3.484 #DIV/0!

#DIV/0! 85 3.585 #DIV/0!

#DIV/0! 86 3.686 #DIV/0!

#DIV/0! 87 3.787 #DIV/0!

#DIV/0! 88 3.888 #DIV/0!

#DIV/0! 89 3.989 #DIV/0!

#DIV/0! 90 4.09 #DIV/0!

#DIV/0! 91 4.191 #DIV/0!

#DIV/0! 92 4.292 #DIV/0!

#DIV/0! 93 4.393 #DIV/0!

#DIV/0! 94 4.494 #DIV/0!

#DIV/0! 95 4.595 #DIV/0!

#DIV/0! 96 4.696 #DIV/0!
#DIV/0! 97 4.797 #DIV/0!

#DIV/0! 98 4.898 #DIV/0!

#DIV/0! 99 4.999 #DIV/0!
distribution of Z

Normal 

distribution

1.48672E-06 #DIV/0!

2.45094E-06 #DIV/0!

3.9995E-06 #DIV/0!

6.46025E-06 #DIV/0!

1.03291E-05 #DIV/0!

1.63472E-05 #DIV/0!

2.56093E-05 #DIV/0!

3.97118E-05 #DIV/0!

6.09553E-05 #DIV/0!

9.26132E-05 #DIV/0!

0.000139285 #DIV/0!

0.000207351 #DIV/0!

0.000305546 #DIV/0!

0.000445674 #DIV/0!

0.000643469 #DIV/0!

0.000919619 #DIV/0!

0.001300942 #DIV/0!

0.001821704 #DIV/0!

0.002525035 #DIV/0!

0.003464389 #DIV/0!

0.004704958 #DIV/0!

0.006324913 #DIV/0!

0.008416337 #DIV/0!

0.011085658 #DIV/0!

0.014453386 #DIV/0!

0.018652949 #DIV/0!

0.023828414 #DIV/0!

0.030130931 #DIV/0!

0.03771375 #DIV/0!

0.046725789 #DIV/0!

0.057303789 #DIV/0!

0.069563239 #DIV/0!

0.083588399 #DIV/0!

0.099421884 #DIV/0!

0.117054396 #DIV/0!

0.136415346 #DIV/0!

0.157365126 #DIV/0!

0.179689839 #DIV/0!

0.203099244 #DIV/0!

0.227228529 #DIV/0!

0.251644341 #DIV/0!

0.275855243 #DIV/0!

0.299326439 #DIV/0!

0.321498297 #DIV/0!

0.341807853 #DIV/0!







2 4

3

2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z

 



    

 

( )z
0.359712192 #DIV/0!

0.37471238 #DIV/0!

0.386376486 #DIV/0!

0.394360216 #DIV/0!

0.398423793 #DIV/0!

0.398443914 #DIV/0!

0.394419966 #DIV/0!

0.386474058 #DIV/0!

0.374844865 #DIV/0!

0.359875719 #DIV/0!

0.34199778 #DIV/0!

0.32170943 #DIV/0!

0.299553264 #DIV/0!

0.276092166 #DIV/0!

0.25188591 #DIV/0!

0.227469632 #DIV/0!

0.203335281 #DIV/0!

0.17991684 #DIV/0!

0.157579839 #DIV/0!

0.136615273 #DIV/0!

0.117237788 #DIV/0!

0.099587708 #DIV/0!

0.083736272 #DIV/0!

0.069693339 #DIV/0!

0.05741676 #DIV/0!

0.046822635 #DIV/0!

0.037795734 #DIV/0!

0.030199481 #DIV/0!

0.023885038 #DIV/0!

0.018699163 #DIV/0!

0.014490659 #DIV/0!

0.011115369 #DIV/0!

0.008439746 #DIV/0!

0.006343145 #DIV/0!

0.004718997 #DIV/0!

0.003475077 #DIV/0!

0.002533081 #DIV/0!

0.001827693 #DIV/0!

0.001305351 #DIV/0!

0.000922829 #DIV/0!

0.00064578 #DIV/0!

0.00044732 #DIV/0!

0.000306705 #DIV/0!

0.000208159 #DIV/0!

0.000139842 #DIV/0!

9.29928E-05 #DIV/0!

6.12113E-05 #DIV/0!

3.98826E-05 #DIV/0!

2.5722E-05 #DIV/0!

1.64209E-05 #DIV/0!

1.03767E-05 #DIV/0!

6.49066E-06 #DIV/0!
4.01874E-06 #DIV/0!

2.46298E-06 #DIV/0!

1.49417E-06 #DIV/0!
Absolute values

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!
#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!
Cumulative normalization

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

2 ( ) ()

i

f x f b



  



 
#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!
#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0! #DIV/0!

#DIV/0!
Appendix E-8a (i): Process Gas CO Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Process GasN/A no 1 WVMountainStateCarbonFollansbee

YES Yes Process GasN/A no 1 WVMountainStateCarbonFollansbee

YES Yes Process GasN/A no 1 WVMountainStateCarbonFollansbee
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

S5 ICR Phase I Organic HAP and CO (3) CO ET Sample #1

S5 ICR Phase I Organic HAP and CO (3) CO ET Sample #2

S5 ICR Phase I Organic HAP and CO (3) CO ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

9/6/2007 3.29 1.190887565 0

9/6/2007 1.98 0.683096845 0

9/6/2007 1.99 0.688134639 0
Appendix E-8a (ii): Process Gas CO Test Avera

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) 0.854039683

Variance of natural log of 

test runs (σ2) 0.085106217

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 4.543960444

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.023673752

Flatness of z distribution 

(β2z) 193.9408612

Skewness of z distribution 

(√β1z) 0.531520749
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990810237 0.999275263 0.996006144

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 2.45123699

exp (2μ + σ2) 6.008562781

exp (σ2) - 1 0.088832713

(σ2/n) + [σ4/(2(n - 1))] 0.030179506

Square root term 1.798135116

Confidence Level 99% 99.9% 99.5%

UPL 4.54E+00 5.02E+00 4.72E+00

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.73E+00 1.73E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-8a (ii): Process Gas CO Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Process Gas 1 WVMountainStateCarbonFollansbee S5 ICR Phase I Organic HAP and CO (3)

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

CO 2.42 0.88376754 3 2 ET /Coke Oven Gas/
Appendix E-8a (iii): Process Gas CO Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 193.94086 0.5315207

1.2735E-05 -5 =f(a) 3794.1609

5.09456E-05 1 -4.899 3452.7565

0.000107537 2 -4.798 3133.7268

0.000190267 3 -4.697 2836.1188

0.000309615 4 -4.596 2558.9989

0.000479491 5 -4.495 2301.4536

0.000717995 6 -4.394 2062.5892

0.0010482 7 -4.293 1841.532

0.00149887 8 -4.192 1637.428

0.002104991 9 -4.091 1449.4431

0.002907962 10 -3.99 1276.7632

0.003955244 11 -3.889 1118.5939

0.005299222 12 -3.788 974.16072

0.006995044 13 -3.687 842.70913

0.009097148 14 -3.586 723.50439

0.011654293 15 -3.485 615.83166

0.014702942 16 -3.384 518.99596

0.018259014 17 -3.283 432.32217

0.022308228 18 -3.182 355.15506

0.026795484 19 -3.081 286.85926

0.031614085 20 -2.98 226.81926

0.036595865 21 -2.879 174.43943

0.041503619 22 -2.778 129.144

0.046027438 23 -2.677 90.377096

0.049786657 24 -2.576 57.60268

0.052339014 25 -2.475 30.3046

0.053198306 26 -2.374 7.9865713

0.05453538 27 -2.273 -9.827823

0.058553356 28 -2.172 -23.59513

0.06567437 29 -2.071 -33.75202

0.076209174 30 -1.97 -40.71531

0.0903065 31 -1.869 -44.88194

0.107905466 32 -1.768 -46.62897

0.12869649 33 -1.667 -46.3136

0.152096372 34 -1.566 -44.27317

0.177242789 35 -1.465 -40.82513

0.203012311 36 -1.364 -36.26707

0.228064182 37 -1.263 -30.87673

0.250909714 38 -1.162 -24.91194

0.270004335 39 -1.061 -18.6107

0.283856454 40 -0.96 -12.19112

0.29114481 41 -0.859 -5.851443

0.291455609 42 -0.758 0.2299582

0.300012512 43 -0.657 5.894576

0.316995302 44 -0.556 11.003774

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.342071034 45 -0.455 15.438785

0.374388174 46 -0.354 19.10071

0.412613288 47 -0.253 21.910523

0.455008887 48 -0.152 23.809065

0.499546754 49 -0.051 24.757044

0.544047287 50 0.05 24.735042

0.586332559 51 0.151 23.743508

0.624379276 52 0.252 21.802761

0.656457816 53 0.353 18.952987

0.681245083 54 0.454 15.254246

0.697901735 55 0.555 10.786463

0.706108164 56 0.656 5.6494354

0.706158442 57 0.757 -0.037172

0.713805084 58 0.858 -6.133824

0.728000322 59 0.959 -12.48112

0.747412106 60 1.06 -18.89978

0.770540082 61 1.161 -25.19066

0.795833213 62 1.262 -31.13475

0.821798772 63 1.363 -36.49318

0.847094343 64 1.464 -41.00718

0.87059704 65 1.565 -44.39814

0.891447006 66 1.666 -46.36756

0.909065056 67 1.767 -46.5971

0.923146759 68 1.868 -44.74851

0.933637102 69 1.969 -40.4637

0.94069099 70 2.07 -33.36471

0.944625301 71 2.171 -23.0537

0.945867937 72 2.272 -9.112951

0.946827254 73 2.373 8.8950995

0.949480777 74 2.474 31.4279

0.953338681 75 2.575 58.962766

0.95795592 76 2.676 91.996881

0.962949854 77 2.777 131.0473

0.968009335 78 2.878 176.65094

0.972896549 79 2.979 229.36459

0.977443243 80 3.08 289.76493

0.981543028 81 3.181 358.44847

0.985141405 82 3.282 436.03163

0.988224874 83 3.383 523.15066

0.990810237 84 3.484 620.4617

0.992934869 85 3.585 728.64078

0.994648416 86 3.686 848.38375

0.996006144 87 3.787 980.40638

0.997063944 88 3.888 1125.4443

0.997874854 89 3.989 1284.2529

0.998486888 90 4.09 1457.6077

0.998941904 91 4.191 1646.3038

0.999275263 92 4.292 1851.1563

0.999516026 93 4.393 2073.0002

0.9996875 94 4.494 2312.6903

0.999807966 95 4.595 2571.1013

0.999891466 96 4.696 2849.1279
0.999948583 97 4.797 3147.6843

0.999987147 98 4.898 3467.7051 1 99 4.999 3810.1442
distribution of Z

Normal 

distribution

1.48672E-06 0.005640853

2.45094E-06 0.008462498

3.9995E-06 0.012533349

6.46025E-06 0.018322027

1.03291E-05 0.026432125

1.63472E-05 0.037622431

2.56093E-05 0.052821385

3.97118E-05 0.073130489

6.09553E-05 0.099809837

9.26132E-05 0.134237546

0.000139285 0.177833932

0.000207351 0.231941214

0.000305546 0.297650816

0.000445674 0.375573466

0.000643469 0.465552729

0.000919619 0.566330539

0.001300942 0.67518373

0.001821704 0.78756297

0.002525035 0.896778806

0.003464389 0.993792022

0.004704958 1.067174967

0.006324913 1.103314154

0.008416337 1.086919507

0.011085658 1.001889627

0.014453386 0.832553799

0.018652949 0.565270157

0.023828414 0.190307329

0.030130931 -0.296121445

0.03771375 -0.889860761

0.046725789 -1.57708988

0.057303789 -2.333141689

0.069563239 -3.122132967

0.083588399 -3.897640735

0.099421884 -4.604585335

0.117054396 -5.182368705

0.136415346 -5.569173824

0.157365126 -5.707172633

0.179689839 -5.548234421

0.203099244 -5.059597116

0.227228529 -4.228883016

0.251644341 -3.067827011

0.275855243 -1.614151307

0.299326439 0.068832567

0.321498297 1.895096153

0.341807853 3.761176301



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 5.553519022

0.37471238 7.157272688

0.386376486 8.465711048

0.394360216 9.38934783

0.398423793 9.863795463

0.398443914 9.855527108

0.394419966 9.364913757

0.386474058 8.426201398

0.374844865 7.104430013

0.359875719 5.489632764

0.34199778 3.688946506

0.32170943 1.81747663

0.299553264 -0.011135056

0.276092166 -1.693500886

0.25188591 -3.143817536

0.227469632 -4.29912519

0.203335281 -5.122149771

0.17991684 -5.601666422

0.157579839 -5.750588875

0.136615273 -5.602206749

0.117237788 -5.205139271

0.099587708 -4.61763926

0.083736272 -3.901867143

0.069693339 -3.118673037

0.05741676 -2.323294766

0.046822635 -1.562223724

0.037795734 -0.871331373

0.030199481 -0.275206392

0.023885038 0.212459791

0.018699163 0.587675422

0.014490659 0.854409347

0.011115369 1.022579274

0.008439746 1.106005935

0.006343145 1.12052256

0.004718997 1.082370801

0.003475077 1.006955553

0.002533081 0.907978924

0.001827693 0.796932133

0.001305351 0.68289542

0.000922829 0.572580095

0.00064578 0.47054194

0.00044732 0.379498945

0.000306705 0.300695884

0.000208159 0.234270842

0.000139842 0.179592193

9.29928E-05 0.135547012

6.12113E-05 0.100772364

3.98826E-05 0.073828916

2.5722E-05 0.053321756

1.64209E-05 0.037976422

1.03767E-05 0.026679457

6.49066E-06 0.018492717
4.01874E-06 0.012649714

2.46298E-06 0.008540871

1.49417E-06 0.005693007
Absolute values

0.005640853 0.000284863

0.008462498 0.000854712

0.012533349 0.001265868

0.018322027 0.001850525

0.026432125 0.002669645

0.037622431 0.003799866

0.052821385 0.00533496

0.073130489 0.007386179

0.099809837 0.010080794

0.134237546 0.013557992

0.177833932 0.017961227

0.231941214 0.023426063

0.297650816 0.030062732

0.375573466 0.03793292

0.465552729 0.047020826

0.566330539 0.057199384

0.67518373 0.068193557

0.78756297 0.07954386

0.896778806 0.090574659

0.993792022 0.100372994

1.067174967 0.107784672

1.103314154 0.11143473

1.086919507 0.10977887

1.001889627 0.101190852

0.832553799 0.084087934

0.565270157 0.057092286

0.190307329 0.01922104

0.296121445 0.029908266

0.889860761 0.089875937

1.57708988 0.159286078

2.333141689 0.235647311

3.122132967 0.31533543

3.897640735 0.393661714

4.604585335 0.465063119

5.182368705 0.523419239

5.569173824 0.562486556

5.707172633 0.576424436

5.548234421 0.560371676

5.059597116 0.511019309

4.228883016 0.427117185

3.067827011 0.309850528

1.614151307 0.163029282

0.068832567 0.006952089

1.895096153 0.191404711

3.761176301 0.379878806



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
5.553519022 0.560905421

7.157272688 0.722884541

8.465711048 0.855036816

9.38934783 0.948324131

9.863795463 0.996243342

9.855527108 0.995408238

9.364913757 0.945856289

8.426201398 0.851046341

7.104430013 0.717547431

5.489632764 0.554452909

3.688946506 0.372583597

1.81747663 0.18356514

0.011135056 0.001124641

1.693500886 0.17104359

3.143817536 0.317525571

4.29912519 0.434211644

5.122149771 0.517337127

5.601666422 0.565768309

5.750588875 0.580809476

5.602206749 0.565822882

5.205139271 0.525719066

4.61763926 0.466381565

3.901867143 0.394088581

3.118673037 0.314985977

2.323294766 0.234652771

1.562223724 0.157784596

0.871331373 0.088004469

0.275206392 0.027795846

0.212459791 0.021458439

0.587675422 0.059355218

0.854409347 0.086295344

1.022579274 0.103280507

1.106005935 0.111706599

1.12052256 0.113172779

1.082370801 0.109319451

1.006955553 0.101702511

0.907978924 0.091705871

0.796932133 0.080490145

0.68289542 0.068972437

0.572580095 0.05783059

0.47054194 0.047524736

0.379498945 0.038329393

0.300695884 0.030370284

0.234270842 0.023661355

0.179592193 0.018138811

0.135547012 0.013690248

0.100772364 0.010178009

0.073828916 0.007456721

0.053321756 0.005385497

0.037976422 0.003835619

0.026679457 0.002694625

0.018492717 0.001867764
0.012649714 0.001277621

0.008540871 0.000862628

0.005693007 0.000287497
Cumulative normalization

0.000284863 1.2735E-05

0.001139575 5.09456E-05

0.002405444 0.000107537

0.004255968 0.000190267

0.006925613 0.000309615

0.010725479 0.000479491

0.016060438 0.000717995

0.023446618 0.0010482

0.033527411 0.00149887

0.047085404 0.002104991

0.065046631 0.002907962

0.088472693 0.003955244

0.118535426 0.005299222

0.156468346 0.006995044

0.203489171 0.009097148

0.260688556 0.011654293

0.328882113 0.014702942

0.408425972 0.018259014

0.499000632 0.022308228

0.599373626 0.026795484

0.707158298 0.031614085

0.818593027 0.036595865

0.928371898 0.041503619

1.02956275 0.046027438

1.113650684 0.049786657

1.170742969 0.052339014

1.18996401 0.053198306

1.219872276 0.05453538

1.309748212 0.058553356

1.46903429 0.06567437

1.704681601 0.076209174

2.020017031 0.0903065

2.413678745 0.107905466

2.878741864 0.12869649

3.402161103 0.152096372

3.964647659 0.177242789

4.541072095 0.203012311

5.101443771 0.228064182

5.61246308 0.250909714

6.039580265 0.270004335

6.349430793 0.283856454

6.512460075 0.29114481

6.519412164 0.291455609

6.710816875 0.300012512

7.090695682 0.316995302

2 ( ) ( )

i

f x f b



  



 
7.651601103 0.342071034

8.374485645 0.374388174

9.22952246 0.412613288

10.17784659 0.455008887

11.17408993 0.499546754

12.16949817 0.544047287

13.11535446 0.586332559

13.9664008 0.624379276

14.68394823 0.656457816

15.23840114 0.681245083

15.61098474 0.697901735

15.79454988 0.706108164

15.79567452 0.706158442

15.96671811 0.713805084

16.28424368 0.728000322

16.71845532 0.747412106

17.23579245 0.770540082

17.80156076 0.795833213

18.38237024 0.821798772

18.94819312 0.847094343

19.47391218 0.87059704

19.94029375 0.891447006

20.33438233 0.909065056

20.64936831 0.923146759

20.88402108 0.933637102

21.04180568 0.94069099

21.12981014 0.944625301

21.15760599 0.945867937

21.17906443 0.946827254

21.23841965 0.949480777

21.32471499 0.953338681

21.4279955 0.95795592

21.5397021 0.962949854

21.65287487 0.968009335

21.76219433 0.972896549

21.86389684 0.977443243

21.95560271 0.981543028

22.03609285 0.985141405

22.10506529 0.988224874

22.16289588 0.990810237

22.21042062 0.992934869

22.24875001 0.994648416

22.27912029 0.996006144

22.30278165 0.997063944

22.32092046 0.997874854

22.33461071 0.998486888

22.34478872 0.998941904

22.35224544 0.999275263

22.35763094 0.999516026

22.36146655 0.9996875

22.36416118 0.999807966

22.36602894 0.999891466
22.36730656 0.999948583

22.36816919 0.999987147

22.36845669 1

1128.818509
Appendix E-8b (i): Process Gas HCl Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Process Gas no 1 WVMountainStateCarbonFollansbee

YES Yes Process Gas no 1 WVMountainStateCarbonFollansbee

YES Yes Process Gas no 1 WVMountainStateCarbonFollansbee
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

S1 ICR Phase II - Test Report Phase II HCl From Test Report Hydrogen Chloride (HCl) ET Sample #1

S1 ICR Phase II - Test Report Phase II HCl From Test Report Hydrogen Chloride (HCl) ET Sample #2

S1 ICR Phase II - Test Report Phase II HCl From Test Report Hydrogen Chloride (HCl) ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

10/22/2009 0.0014 -6.571283042 0

10/22/2009 0.0012 -6.725433722 0

10/23/2009 0.0011 -6.812445099 0
Appendix E-8b (ii): Process Gas HCl Test Aver

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -6.703053955

Variance of natural log of 

test runs (σ2) 0.014915425

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.243843109

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.000677452

Flatness of z distribution 

(β2z) 4790.302599

Skewness of z distribution 

(√β1z) 0.213387934
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815425 0.999274635 0.996005641

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.001236344

exp (2μ + σ2) 1.52855E-06

exp (σ2) - 1 0.015027215

(σ2/n) + [σ4/(2(n - 1))] 0.005027426

Square root term 0.00037158

Confidence Level 99% 99.9% 99.5%

UPL 1.67E-03 1.77E-03 1.71E-03

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 9.35E-01 7.97E-01

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-8b (ii): Process Gas HCl Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Process Gas 1 WVMountainStateCarbonFollansbee S1 ICR Phase II - Test ReportPhase II HCl From Test Report

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Hydrogen Chloride (HCl) 0.001233333 -6.698034748 3 2 ET Coke Oven Gas
Appendix E-8b (iii): Process Gas HCl Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 4790.3026 0.2133879

1.28169E-05 -5 =f(a) 95344.198

5.12747E-05 1 -4.899 86768.885

0.000108235 2 -4.798 78755.213

0.000191508 3 -4.697 71279.268

0.000311646 4 -4.596 64317.634

0.000482654 5 -4.495 57847.393

0.000722759 6 -4.394 51846.125

0.001055199 7 -4.293 46291.908

0.001508942 8 -4.192 41163.319

0.002119227 9 -4.091 36439.433

0.002927756 10 -3.99 32099.823

0.003982336 11 -3.889 28124.558

0.005335743 12 -3.788 24494.209

0.007043529 13 -3.687 21189.844

0.00916053 14 -3.586 18193.026

0.011735847 15 -3.485 15485.821

0.014806165 16 -3.384 13050.79

0.018387422 17 -3.283 10870.993

0.022465041 18 -3.182 8929.9875

0.026983191 19 -3.081 7211.831

0.031833855 20 -2.98 5701.0776

0.036846797 21 -2.879 4382.78

0.041781831 22 -2.778 3242.4889

0.046324995 23 -2.677 2266.2536

0.050090367 24 -2.576 1440.6211

0.052629127 25 -2.475 752.6369

0.05344718 26 -2.374 189.84445

0.054862313 27 -2.273 -259.7145

0.0590055 28 -2.172 -607.5001

0.066310114 29 -2.071 -864.4744

0.077098703 30 -1.97 -1041.101

0.0915319 31 -1.869 -1147.346

0.109560285 32 -1.768 -1192.676

0.130884708 33 -1.667 -1186.06

0.154930742 34 -1.566 -1135.971

0.180842588 35 -1.465 -1050.38

0.207500549 36 -1.364 -936.7635

0.233564408 37 -1.263 -802.0966

0.257542566 38 -1.162 -652.8584

0.277884024 39 -1.061 -495.0291

0.293087404 40 -0.96 -334.0908

0.301818638 41 -0.859 -175.0274

0.303027058 42 -0.758 -22.32462

0.310005466 43 -0.657 120.02984

0.325368548 44 -0.556 248.54659

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.348801598 45 -0.455 360.23439

0.37947071 46 -0.354 452.60013

0.416058768 47 -0.253 523.64889

0.456842737 48 -0.152 571.88393

0.49980661 49 -0.051 596.30667

0.542780579 50 0.05 596.41668

0.583594106 51 0.151 572.21172

0.620229061 52 0.252 524.18771

0.650959085 53 0.353 453.33874

0.674462836 54 0.454 361.15708

0.689901653 55 0.555 249.63315

0.696955953 56 0.656 121.25555

0.698092935 57 0.757 -20.98896

0.706761174 58 0.858 -173.6154

0.721913102 59 0.959 -332.6408

0.742216688 60 1.06 -493.5837

0.76617147 61 1.161 -651.4649

0.79222628 62 1.262 -800.8065

0.818888398 63 1.363 -935.6329

0.844815731 64 1.464 -1049.47

0.868886192 65 1.565 -1135.346

0.890241322 66 1.666 -1185.791

0.908304014 67 1.767 -1192.835

0.922772612 68 1.868 -1148.013

0.933595533 69 1.969 -1042.359

0.940931684 70 2.07 -866.4109

0.945102382 71 2.171 -610.2073

0.946540255 72 2.272 -263.2889

0.947340631 73 2.373 185.30178

0.949866687 74 2.474 747.02037

0.953623949 75 2.575 1433.8207

0.958163011 76 2.676 2258.1546

0.963097246 77 2.777 3232.9724

0.968111955 78 2.878 4371.7223

0.972966232 79 2.979 5688.3508

0.977489192 80 3.08 7197.3026

0.981572261 81 3.181 8913.5204

0.985159163 82 3.282 10852.445

0.988234983 83 3.383 13030.016

0.990815425 84 3.484 15462.671

0.992937032 85 3.585 18167.344

0.99464883 86 3.686 21161.47

0.996005641 87 3.787 24462.981

0.99706304 88 3.888 28090.306

0.997873854 89 3.989 32062.374

0.998485954 90 4.09 36398.61

0.998941112 91 4.191 41118.941

0.999274635 92 4.292 46243.787

0.999515555 93 4.393 51794.07

0.999687167 94 4.494 57791.209

0.999807745 95 4.595 64257.121

0.999891333 96 4.696 71214.222
0.999948516 97 4.797 78685.425

0.99998713 98 4.898 86694.141 1 99 4.999 95264.281
distribution of Z

Normal 

distribution

1.48672E-06 0.14175008

2.45094E-06 0.212665309

3.9995E-06 0.314981685

6.46025E-06 0.460481664

1.03291E-05 0.664342522

1.63472E-05 0.945645639

2.56093E-05 1.327740917

3.97118E-05 1.838333442

6.09553E-05 2.509120522

9.26132E-05 3.374772003

0.000139285 4.471023031

0.000207351 5.831646615

0.000305546 7.484105368

0.000445674 9.443760319

0.000643469 11.70665046

0.000919619 14.24105628

0.001300942 16.97832277

0.001821704 19.80372903

0.002525035 22.548527

0.003464389 24.98458713

0.004704958 26.82332795

0.006324913 27.72070095

0.008416337 27.28988097

0.011085658 25.12291351

0.014453386 20.821854

0.018652949 14.03889756

0.023828414 4.52369209

0.030130931 -7.825440431

0.03771375 -22.91110832

0.046725789 -40.39324638

0.057303789 -59.6590289

0.069563239 -79.81307196

0.083588399 -99.69384437

0.099421884 -117.9203581

0.117054396 -132.9704024

0.136415346 -143.2880143

0.157365126 -147.4139003

0.179689839 -144.1286163

0.203099244 -132.5950546

0.227228529 -112.4847369

0.251644341 -84.07205293

0.275855243 -48.28221382

0.299326439 -6.682348865

0.321498297 38.58938887

0.341807853 84.95517752



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 129.5807005

0.37471238 169.5948702

0.386376486 202.3256187

0.394360216 225.5282719

0.398423793 237.5827643

0.398443914 237.6385953

0.394419966 225.6917261

0.386474058 202.5849511

0.374844865 169.9317003

0.359875719 129.9716647

0.34199778 85.37398388

0.32170943 39.00905367

0.299553264 -6.287311475

0.276092166 -47.9338635

0.25188591 -83.78752902

0.227469632 -112.275313

0.203335281 -132.465789

0.17991684 -144.0785776

0.157579839 -147.4368892

0.136615273 -143.373658

0.117237788 -133.105474

0.099587708 -118.0901661

0.083736272 -99.88355287

0.069693339 -80.00883773

0.05741676 -59.84887635

0.046822635 -40.56764219

0.037795734 -23.06323346

0.030199481 -7.951188286

0.023885038 4.425940109

0.018699163 13.96865543

0.014490659 20.77700658

0.011115369 25.10022209

0.008439746 27.28546699

0.006343145 27.73046987

0.004718997 26.84330969

0.003475077 25.01118338

0.002533081 22.57866679

0.001827693 19.83494269

0.001305351 17.00874939

0.000922829 14.26940201

0.00064578 11.73211502

0.00044732 9.465947061

0.000306705 7.502927223

0.000208159 5.847237239

0.000139842 4.483658899

9.29928E-05 3.384808544

6.12113E-05 2.516943079

3.98826E-05 1.84432224

2.5722E-05 1.332248223

1.64209E-05 0.948982821

1.03767E-05 0.666774615

6.49066E-06 0.462227212
4.01874E-06 0.316215981

2.46298E-06 0.213525514

1.49417E-06 0.142341124
Absolute values

0.14175008 0.007158379

0.212665309 0.021479196

0.314981685 0.03181315

0.460481664 0.046508648

0.664342522 0.067098595

0.945645639 0.09551021

1.327740917 0.134101833

1.838333442 0.185671678

2.509120522 0.253421173

3.374772003 0.340851972

4.471023031 0.451573326

5.831646615 0.588996308

7.484105368 0.755894642

9.443760319 0.953819792

11.70665046 1.182371696

14.24105628 1.438346684

16.97832277 1.7148106

19.80372903 2.000176632

22.548527 2.277401227

24.98458713 2.5234433

26.82332795 2.709156123

27.72070095 2.799790796

27.28988097 2.756277978

25.12291351 2.537414265

20.821854 2.103007254

14.03889756 1.417928654

4.52369209 0.456892901

7.825440431 0.790369483

22.91110832 2.31402194

40.39324638 4.079717884

59.6590289 6.025561919

79.81307196 8.061120268

99.69384437 10.06907828

117.9203581 11.90995617

132.9704024 13.43001064

143.2880143 14.47208944

147.4139003 14.88880393

144.1286163 14.55699025

132.5950546 13.39210051

112.4847369 11.36095842

84.07205293 8.491277346

48.28221382 4.876503596

6.682348865 0.674917235

38.58938887 3.897528276

84.95517752 8.58047293



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
129.5807005 13.08765075

169.5948702 17.1290819

202.3256187 20.43488749

225.5282719 22.77835546

237.5827643 23.9958592

237.6385953 24.00149812

225.6917261 22.79486433

202.5849511 20.46108007

169.9317003 17.16310173

129.9716647 13.12713814

85.37398388 8.622772372

39.00905367 3.93991442

6.287311475 0.635018459

47.9338635 4.841320213

83.78752902 8.462540431

112.275313 11.33980661

132.465789 13.37904468

144.0785776 14.55193633

147.4368892 14.8911258

143.373658 14.48073946

133.105474 13.44365287

118.0901661 11.92710677

99.88355287 10.08823884

80.00883773 8.080892611

59.84887635 6.044736511

40.56764219 4.097331862

23.06323346 2.329386579

7.951188286 0.803070017

4.425940109 0.447019951

13.96865543 1.410834198

20.77700658 2.098477665

25.10022209 2.535122431

27.28546699 2.755832166

27.73046987 2.800777457

26.84330969 2.711174279

25.01118338 2.526129521

22.57866679 2.280445346

19.83494269 2.003329212

17.00874939 1.717883688

14.26940201 1.441209603

11.73211502 1.184943617

9.465947061 0.956060653

7.502927223 0.75779565

5.847237239 0.590570961

4.483658899 0.452849549

3.384808544 0.341865663

2.516943079 0.254211251

1.84432224 0.186276546

1.332248223 0.134557071

0.948982821 0.095847265

0.666774615 0.067344236

0.462227212 0.046684948
0.316215981 0.031937814

0.213525514 0.021566077

0.142341124 0.007188227
Cumulative normalization

0.007158379 1.28169E-05

0.028637575 5.12747E-05

0.060450725 0.000108235

0.106959373 0.000191508

0.174057968 0.000311646

0.269568178 0.000482654

0.40367001 0.000722759

0.589341688 0.001055199

0.842762861 0.001508942

1.183614833 0.002119227

1.635188159 0.002927756

2.224184467 0.003982336

2.980079109 0.005335743

3.933898902 0.007043529

5.116270598 0.00916053

6.554617282 0.011735847

8.269427882 0.014806165

10.26960451 0.018387422

12.54700574 0.022465041

15.07044904 0.026983191

17.77960516 0.031833855

20.57939596 0.036846797

23.33567394 0.041781831

25.8730882 0.046324995

27.97609546 0.050090367

29.39402411 0.052629127

29.85091701 0.05344718

30.64128649 0.054862313

32.95530843 0.0590055

37.03502632 0.066310114

43.06058824 0.077098703

51.1217085 0.0915319

61.19078679 0.109560285

73.10074296 0.130884708

86.53075359 0.154930742

101.002843 0.180842588

115.891647 0.207500549

130.4486372 0.233564408

143.8407377 0.257542566

155.2016961 0.277884024

163.6929735 0.293087404

168.5694771 0.301818638

169.2443943 0.303027058

173.1419226 0.310005466

181.7223955 0.325368548

2 ( ) ( )

i

f x f b



  



 
194.8100463 0.348801598

211.9391282 0.37947071

232.3740157 0.416058768

255.1523711 0.456842737

279.1482303 0.49980661

303.1497284 0.542780579

325.9445928 0.583594106

346.4056728 0.620229061

363.5687746 0.650959085

376.6959127 0.674462836

385.3186851 0.689901653

389.2585995 0.696955953

389.893618 0.698092935

394.7349382 0.706761174

403.1974786 0.721913102

414.5372852 0.742216688

427.9163299 0.76617147

442.4682662 0.79222628

457.359392 0.818888398

471.8401315 0.844815731

485.2837844 0.868886192

497.2108912 0.890241322

507.29913 0.908304014

515.3800226 0.922772612

521.4247591 0.933595533

525.522091 0.940931684

527.8514776 0.945102382

528.6545476 0.946540255

529.1015675 0.947340631

530.5124017 0.949866687

532.6108794 0.953623949

535.1460018 0.958163011

537.901834 0.963097246

540.7026114 0.968111955

543.4137857 0.972966232

545.9399152 0.977489192

548.2203606 0.981572261

550.2236898 0.985159163

551.9415735 0.988234983

553.3827831 0.990815425

554.5677267 0.992937032

555.5237874 0.99464883

556.281583 0.996005641

556.872154 0.99706304

557.3250035 0.997873854

557.6668692 0.998485954

557.9210804 0.998941112

558.107357 0.999274635

558.241914 0.999515555

558.3377613 0.999687167

558.4051055 0.999807745

558.4517905 0.999891333
558.4837283 0.999948516

558.5052944 0.99998713

558.5124826 1

28202.08961
Appendix E-8c (i): Process Gas Hg Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Process Gas no 1 WVMountainStateCarbonFollansbee

YES Yes Process Gas no 1 WVMountainStateCarbonFollansbee

YES Yes Process Gas no 1 WVMountainStateCarbonFollansbee
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

S1 ICR Phase II - Test Report Phase II Metals From Test Report Mercury (Hg) ET Sample #1

S1 ICR Phase II - Test Report Phase II Metals From Test Report Mercury (Hg) ET Sample #2

S1 ICR Phase II - Test Report Phase II Metals From Test Report Mercury (Hg) ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

10/19/2009 0.00000688 -11.88689191 0

10/19/2009 0.00000582 -12.0542103 0

10/20/2009 0.00000591 -12.03886473 0
Appendix E-8c (ii): Process Gas Hg Test Avera

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -11.99332231

Variance of natural log of 

test runs (σ2) 0.008554445

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.138569142

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.000221423

Flatness of z distribution 

(β2z) 14176.54084

Skewness of z distribution 

(√β1z) 0.161000753
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815196 0.999274598 0.99600549

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 6.21189E-06

exp (2μ + σ2) 3.85876E-11

exp (σ2) - 1 0.008591139

(σ2/n) + [σ4/(2(n - 1))] 0.002869776

Square root term 1.41109E-06

Confidence Level 99% 99.9% 99.5%

UPL 7.85E-06 8.23E-06 7.99E-06

Analysis of Data 

Distribution

Normal Log-normal

Skewness = 1.69E+00 1.68E+00

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-8c (ii): Process Gas Hg Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Process Gas 1 WVMountainStateCarbonFollansbee S1 ICR Phase II - Test ReportPhase II Metals From Test Report

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Mercury (Hg) 6.20333E-06 -11.99042378 3 2 ET Coke Oven Gas
Appendix E-8c (iii): Process Gas Hg Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 14176.541 0.1610008

1.28184E-05 -5 =f(a) 282287.74

5.12809E-05 1 -4.899 256898.65

0.000108248 2 -4.798 233172.42

0.000191531 3 -4.697 211038.23

0.000311683 4 -4.596 190426.76

0.000482712 5 -4.495 171270.15

0.000722846 6 -4.394 153502.04

0.001055326 7 -4.293 137057.5

0.001509123 8 -4.192 121873.13

0.002119482 9 -4.091 107886.96

0.002928106 10 -3.99 95038.514

0.003982811 11 -3.889 83268.791

0.005336375 12 -3.788 72520.262

0.007044356 13 -3.687 62736.874

0.009161594 14 -3.586 53864.048

0.01173719 15 -3.485 45848.679

0.014807827 16 -3.384 38639.141

0.018389435 17 -3.283 32185.277

0.022467421 18 -3.182 26438.411

0.026985925 19 -3.081 21351.337

0.031836889 20 -2.98 16878.326

0.03685002 21 -2.879 12975.124

0.041785052 22 -2.778 9598.9515

0.046327921 23 -2.677 6708.5045

0.050092575 24 -2.576 4263.9532

0.052630037 25 -2.475 2226.9429

0.05344603 26 -2.374 560.59381

0.054864197 27 -2.273 -770.4988

0.059011628 28 -2.172 -1800.265

0.066321947 29 -2.071 -2561.16

0.077117966 30 -1.97 -3084.163

0.091560582 31 -1.869 -3398.78

0.109600633 32 -1.768 -3533.042

0.130939201 33 -1.667 -3513.503

0.155002062 34 -1.566 -3365.244

0.18093357 35 -1.465 -3111.871

0.207614128 36 -1.364 -2775.514

0.233703556 37 -1.263 -2376.83

0.257710224 38 -1.162 -1934.998

0.27808303 39 -1.061 -1467.726

0.293320426 40 -0.96 -991.244

0.302088113 41 -0.859 -520.3083

0.303335136 42 -0.758 -68.20035

0.310273114 43 -0.657 353.27363

0.325594293 44 -0.556 733.78213

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.348984335 45 -0.455 1064.4686

0.379609706 46 -0.354 1337.9513

0.416153652 47 -0.253 1548.3236

0.456893477 48 -0.152 1691.1536

0.499813494 49 -0.051 1763.4844

0.542744183 50 0.05 1763.8338

0.583515268 51 0.151 1692.1948

0.62010885 52 0.252 1550.0352

0.650798774 53 0.353 1340.2976

0.674263883 54 0.454 1067.3996

0.689665682 55 0.555 737.23366

0.696684732 56 0.656 357.16719

0.697855063 57 0.757 -63.95753

0.706554638 58 0.858 -515.8233

0.72173579 59 0.959 -986.638

0.742066416 60 1.06 -1463.135

0.766045998 61 1.161 -1930.571

0.792123344 62 1.262 -2372.731

0.818805738 63 1.363 -2771.923

0.84475112 64 1.464 -3108.979

0.868837465 65 1.565 -3363.259

0.89020641 66 1.666 -3512.646

0.908280964 67 1.767 -3533.548

0.922759613 68 1.868 -3400.899

0.933590933 69 1.969 -3088.159

0.940933998 70 2.07 -2567.311

0.945110299 71 2.171 -1808.864

0.946552639 72 2.272 -781.8531

0.947349517 73 2.373 546.1637

0.949872887 74 2.474 2209.1015

0.953628127 75 2.575 4242.351

0.958165703 76 2.676 6682.7776

0.963098876 77 2.777 9568.7216

0.968112847 78 2.878 12939.998

0.972966633 79 2.979 16837.898

0.977489281 80 3.08 21305.186

0.981572167 81 3.181 26386.102

0.985158973 82 3.282 32126.36

0.988234755 83 3.383 38573.152

0.990815196 84 3.484 45775.141

0.992936821 85 3.585 53782.467

0.994648648 86 3.686 62646.744

0.99600549 87 3.787 72421.063

0.99706292 88 3.888 83159.986

0.99787376 89 3.989 94919.555

0.998485884 90 4.09 107757.28

0.99894106 91 4.191 121732.16

0.999274598 92 4.292 136904.64

0.999515529 93 4.393 153336.68

0.99968715 94 4.494 171091.68

0.999807734 95 4.595 190234.53

0.999891326 96 4.696 210831.61
0.999948513 97 4.797 232950.73

0.999987129 98 4.898 256661.22 1 99 4.999 282033.88
distribution of Z

Normal 

distribution

1.48672E-06 0.419682687

2.45094E-06 0.629643121

3.9995E-06 0.93257371

6.46025E-06 1.363359043

1.03291E-05 1.966934801

1.63472E-05 2.799795551

2.56093E-05 3.931073631

3.97118E-05 5.442795585

6.09553E-05 7.428807354

9.26132E-05 9.991754941

0.000139285 13.23743714

0.000207351 17.26584144

0.000305546 22.15826906

0.000445674 27.96018747

0.000643469 34.65985085

0.000919619 42.16331974

0.001300942 50.26728742

0.001821704 58.63204393

0.002525035 66.75790062

0.003464389 73.96933274

0.004704958 79.41180516

0.006324913 82.066526

0.008416337 80.78801469

0.011085658 74.36819014

0.014453386 61.62856332

0.018652949 41.53905119

0.023828414 13.35806159

0.030130931 -23.21584632

0.03771375 -67.8947415

0.046725789 -119.6722039

0.057303789 -176.7342214

0.069563239 -236.4301536

0.083588399 -295.3212883

0.099421884 -349.3190456

0.117054396 -393.9165736

0.136415346 -424.5069113

0.157365126 -436.7691059

0.179689839 -427.0921161

0.203099244 -392.9966751

0.227228529 -333.5092216

0.251644341 -249.4409412

0.275855243 -143.5297855

0.299326439 -20.41416772

0.321498297 113.5768707

0.341807853 250.8124938



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 382.9023267

0.37471238 501.3469277

0.386376486 598.235841

0.394360216 666.9237053

0.398423793 702.6141271

0.398443914 702.7888478

0.394419966 667.4354324

0.386474058 599.0484005

0.374844865 502.4036759

0.359875719 384.1311973

0.34199778 252.1322761

0.32170943 114.9040534

0.299553264 -19.15868598

0.276092166 -142.4147714

0.25188591 -248.520215

0.227469632 -332.8187103

0.203335281 -392.5532783

0.17991684 -426.8943265

0.157579839 -436.7991492

0.136615273 -424.7340334

0.117237788 -394.301028

0.099587708 -349.8163161

0.083736272 -295.8861179

0.069693339 -237.0200332

0.05741676 -177.3120966

0.046822635 -120.2082776

0.037795734 -68.36736103

0.030199481 -23.61155754

0.023885038 13.04514078

0.018699163 41.30834897

0.014490659 61.47446234

0.011115369 74.28153854

0.008439746 80.75758239

0.006343145 82.08028961

0.004718997 79.4579882

0.003475077 74.03716948

0.002533081 66.83812595

0.001827693 58.7171375

0.001305351 50.3515162

0.000922829 42.24263041

0.00064578 34.73166341

0.00044732 28.02313606

0.000306705 22.21192759

0.000208159 17.31046178

0.000139842 13.27371796

9.29928E-05 10.02065089

6.12113E-05 7.451381405

3.98826E-05 5.46011249

2.5722E-05 3.944129501

1.64209E-05 2.809476886

1.03767E-05 1.97400002

6.49066E-06 1.368436001
4.01874E-06 0.936167582

2.46298E-06 0.632150215

1.49417E-06 0.421406831
Absolute values

0.419682687 0.021193976

0.629643121 0.063593955

0.93257371 0.094189945

1.363359043 0.137699263

1.966934801 0.198660415

2.799795551 0.282779351

3.931073631 0.397038437

5.442795585 0.549722354

7.428807354 0.750309543

9.991754941 1.009167249

13.23743714 1.336981152

17.26584144 1.743849986

22.15826906 2.237985175

27.96018747 2.823978935

34.65985085 3.500644936

42.16331974 4.258495294

50.26728742 5.07699603

58.63204393 5.921836437

66.75790062 6.742547963

73.96933274 7.470902607

79.41180516 8.020592321

82.066526 8.288719126

80.78801469 8.159589483

74.36819014 7.511187205

61.62856332 6.224484895

41.53905119 4.19544417

13.35806159 1.34916422

23.21584632 2.344800479

67.8947415 6.857368892

119.6722039 12.08689259

176.7342214 17.85015636

236.4301536 23.87944551

295.3212883 29.82745012

349.3190456 35.2812236

393.9165736 39.78557393

424.5069113 42.87519804

436.7691059 44.11367969

427.0921161 43.13630372

392.9966751 39.69266419

333.5092216 33.68443138

249.4409412 25.19353506

143.5297855 14.49650833

20.41416772 2.06183094

113.5768707 11.47126394

250.8124938 25.33206187



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
382.9023267 38.67313499

501.3469277 50.6360397

598.235841 60.42181994

666.9237053 67.35929424

702.6141271 70.96402683

702.7888478 70.98167363

667.4354324 67.41097868

599.0484005 60.50388845

502.4036759 50.74277127

384.1311973 38.79725093

252.1322761 25.46535988

114.9040534 11.60530939

19.15868598 1.935027284

142.4147714 14.38389192

248.520215 25.10054172

332.8187103 33.61468974

392.5532783 39.64788111

426.8943265 43.11632698

436.7991492 44.11671407

424.7340334 42.89813737

394.301028 39.82440383

349.8163161 35.33144792

295.8861179 29.88449791

237.0200332 23.93902335

177.3120966 17.90852176

120.2082776 12.14103604

68.36736103 6.905103464

23.61155754 2.384767312

13.04514078 1.317559219

41.30834897 4.172143246

61.47446234 6.208920696

74.28153854 7.502435392

80.75758239 8.156515822

82.08028961 8.29010925

79.4579882 8.025256808

74.03716948 7.477754117

66.83812595 6.75065072

58.7171375 5.930430887

50.3515162 5.085503136

42.24263041 4.266505672

34.73166341 3.507898005

28.02313606 2.830336742

22.21192759 2.243404686

17.31046178 1.748356639

13.27371796 1.340645514

10.02065089 1.01208574

7.451381405 0.752589522

5.46011249 0.551471361

3.944129501 0.39835708

2.809476886 0.283757165

1.97400002 0.199374002

1.368436001 0.138212036
0.936167582 0.094552926

0.632150215 0.063847172

0.421406831 0.021281045
Cumulative normalization

0.021193976 1.28184E-05

0.084787931 5.12809E-05

0.178977876 0.000108248

0.316677139 0.000191531

0.515337554 0.000311683

0.798116905 0.000482712

1.195155341 0.000722846

1.744877695 0.001055326

2.495187238 0.001509123

3.504354487 0.002119482

4.841335639 0.002928106

6.585185625 0.003982811

8.823170799 0.005336375

11.64714973 0.007044356

15.14779467 0.009161594

19.40628996 0.01173719

24.48328599 0.014807827

30.40512243 0.018389435

37.14767039 0.022467421

44.618573 0.026985925

52.63916532 0.031836889

60.92788445 0.03685002

69.08747393 0.041785052

76.59866114 0.046327921

82.82314603 0.050092575

87.0185902 0.052630037

88.36775442 0.05344603

90.7125549 0.054864197

97.56992379 0.059011628

109.6568164 0.066321947

127.5069727 0.077117966

151.3864183 0.091560582

181.2138684 0.109600633

216.495092 0.130939201

256.2806659 0.155002062

299.155864 0.18093357

343.2695436 0.207614128

386.4058474 0.233703556

426.0985116 0.257710224

459.7829429 0.27808303

484.976478 0.293320426

499.4729863 0.302088113

501.5348173 0.303335136

513.0060812 0.310273114

538.3381431 0.325594293

2 ( ) ( )

i

f x f b



  



 
577.0112781 0.348984335

627.6473178 0.379609706

688.0691377 0.416153652

755.428432 0.456893477

826.3924588 0.499813494

897.3741324 0.542744183

964.7851111 0.583515268

1025.289 0.62010885

1076.031771 0.650798774

1114.829022 0.674263883

1140.294382 0.689665682

1151.899691 0.696684732

1153.834718 0.697855063

1168.21861 0.706554638

1193.319152 0.72173579

1226.933842 0.742066416

1266.581723 0.766045998

1309.69805 0.792123344

1353.814764 0.818805738

1396.712901 0.84475112

1436.537305 0.868837465

1471.868753 0.89020641

1501.753251 0.908280964

1525.692274 0.922759613

1543.600796 0.933590933

1555.741832 0.940933998

1562.646935 0.945110299

1565.031703 0.946552639

1566.349262 0.947349517

1570.521405 0.949872887

1576.730326 0.953628127

1584.232761 0.958165703

1592.389277 0.963098876

1600.679386 0.968112847

1608.704643 0.972966633

1616.182397 0.977489281

1622.933048 0.981572167

1628.863479 0.985158973

1633.948982 0.988234755

1638.215488 0.990815196

1641.723386 0.992936821

1644.553723 0.994648648

1646.797127 0.99600549

1648.545484 0.99706292

1649.886129 0.99787376

1650.898215 0.998485884

1651.650805 0.99894106

1652.202276 0.999274598

1652.600633 0.999515529

1652.88439 0.99968715

1653.083764 0.999807734

1653.221976 0.999891326
1653.316529 0.999948513

1653.380376 0.999987129

1653.401657 1

83489.22172
Appendix E-8d (i): Process Gas Filterable PM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Process Gas no 1 WVMountainStateCarbonFollansbee

YES Yes Process Gas no 1 WVMountainStateCarbonFollansbee

YES Yes Process Gas no 1 WVMountainStateCarbonFollansbee
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

S1 ICR Phase II - Test Report Phase II PM From Test Report Particulate Matter (PM) filterable ET Sample #1

S1 ICR Phase II - Test Report Phase II PM From Test Report Particulate Matter (PM) filterable ET Sample #2

S1 ICR Phase II - Test Report Phase II PM From Test Report Particulate Matter (PM) filterable ET Sample #3
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

10/19/2009 0.0063 -5.067205646 0

10/19/2009 0.0059 -5.132802928 0

10/20/2009 0.0061 -5.099466508 0
Appendix E-8d (ii): Process Gas Filterable PM 

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 3

n-1 2

Average of natural log of 

test run values (μ) -5.099825027

Variance of natural log of 

test runs (σ2) 0.001075847

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 3.017240207

Denominator for 

calculation of flatness of z 

distribution (β2z) 3.47608E-06

Flatness of z distribution 

(β2z) 868002.7718

Skewness of z distribution 

(√β1z) 0.056847132
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990815014 0.999274575 0.996005388

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.006101094

exp (2μ + σ2) 3.72234E-05

exp (σ2) - 1 0.001076426

(σ2/n) + [σ4/(2(n - 1))] 0.000358905

Square root term 0.000490348

Confidence Level 99% 99.9% 99.5%

UPL 6.67E-03 6.80E-03 6.72E-03

Analysis of Data 

Distribution

Normal Log-normal

Skewness = -2.00E-14 -4.92E-02

SE Skewness 1.41 1.41

Skewness Test normal normal

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 2.83 2.83

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 3 3
ndix E-8d (ii): Process Gas Filterable PM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Process Gas 1 WVMountainStateCarbonFollansbee S1 ICR Phase II - Test ReportPhase II PM From Test Report

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

Particulate Matter (PM) filterable 0.0061 -5.099466508 3 2 ET Coke Oven Gas
Appendix E-8d (iii): Process Gas Filterable PM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 868002.77 0.0568471

1.28191E-05 -5 =f(a) 17287662

5.12837E-05 1 -4.899 15732801

0.000108254 2 -4.798 14279775

0.000191541 3 -4.697 12924248

0.0003117 4 -4.596 11661973

0.000482739 5 -4.495 10488797

0.000722886 6 -4.394 9400652.9

0.001055384 7 -4.293 8393566.9

0.001509206 8 -4.192 7463654.3

0.002119596 9 -4.091 6607121.3

0.002928263 10 -3.99 5820263.9

0.003983022 11 -3.889 5099468.8

0.005336655 12 -3.788 4441212.9

0.007044721 13 -3.687 3842063.4

0.00916206 14 -3.586 3298677.9

0.011737774 15 -3.485 2807804.2

0.014808542 16 -3.384 2366280.5

0.01839029 17 -3.283 1971035.4

0.022468415 18 -3.182 1619087.7

0.026987043 19 -3.081 1307546.6

0.031838094 20 -2.98 1033611.5

0.036851246 21 -2.879 794572.32

0.041786191 22 -2.778 587809.18

0.046328815 23 -2.677 410792.54

0.050093004 24 -2.576 261083.2

0.052629703 25 -2.475 136332.29

0.053444547 26 -2.374 34281.228

0.054864352 27 -2.273 -47238.2

0.059014021 28 -2.172 -110303.9

0.066327299 29 -2.071 -156903.5

0.077127123 30 -1.97 -188934.2

0.091574516 31 -1.869 -208202.9

0.109620434 32 -1.768 -216426.4

0.130966071 33 -1.667 -215230.7

0.155037297 34 -1.566 -206152

0.180978538 35 -1.465 -190635.9

0.207670246 36 -1.364 -170037.6

0.233772257 37 -1.263 -145622.2

0.257792929 38 -1.162 -118564.3

0.278181114 39 -1.061 -89948.29

0.293435189 40 -0.96 -60768.13

0.302220751 41 -0.859 -31927.54

0.303486719 42 -0.758 -4239.892

0.31040483 43 -0.657 21571.782

0.325705378 44 -0.556 44874.76

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.349074195 45 -0.455 65126.65

0.379677913 46 -0.354 81875.381

0.416199945 47 -0.253 94759.209

0.456917758 48 -0.152 103506.71

0.499815816 49 -0.051 107936.8

0.542724742 50 0.05 107958.7

0.583474392 51 0.151 103571.95

0.620046991 52 0.252 94866.451

0.650716499 53 0.353 82022.39

0.674161865 54 0.454 65310.296

0.689544692 55 0.555 45091.021

0.696545635 56 0.656 21815.738

0.697733127 57 0.757 -3974.053

0.70644884 58 0.858 -31646.53

0.721645046 59 0.959 -60479.54

0.741989589 60 1.06 -89660.61

0.765981918 61 1.161 -118287

0.792070819 62 1.262 -145365.4

0.818763577 63 1.363 -169812.6

0.844718147 64 1.464 -190454.7

0.868812542 65 1.565 -206027.7

0.890188446 66 1.666 -215177

0.908268939 67 1.767 -216458.1

0.922752583 68 1.868 -208335.7

0.933588039 69 1.969 -189184.6

0.940934477 70 2.07 -157288.9

0.945113482 71 2.171 -110842.7

0.946557948 72 2.272 -47949.62

0.947353186 73 2.373 33377.09

0.949875319 74 2.474 135214.41

0.95362965 75 2.575 259729.69

0.958166576 76 2.676 409180.58

0.963099301 77 2.777 585915.08

0.968112978 78 2.878 792371.49

0.97296658 79 2.979 1031078.5

0.977489126 80 3.08 1304654.9

0.981571965 81 3.181 1615810.2

0.985158759 82 3.282 1967343.9

0.988234551 83 3.383 2362145.9

0.990815014 84 3.484 2803196.5

0.992936666 85 3.585 3293566.3

0.99464852 86 3.686 3836416.2

0.996005388 87 3.787 4434997.4

0.99706284 88 3.888 5092651.5

0.9978737 89 3.989 5812810.4

0.998485839 90 4.09 6598996.2

0.998941028 91 4.191 7454821.5

0.999274575 92 4.292 8383989.1

0.999515514 93 4.393 9390292.3

0.99968714 94 4.494 10477614

0.999807727 95 4.595 11649930

0.999891323 96 4.696 12911302
0.999948512 97 4.797 14265885

0.999987128 98 4.898 15717925 1 99 4.999 17271756
distribution of Z

Normal 

distribution

1.48672E-06 25.70190458

2.45094E-06 38.56014795

3.9995E-06 57.1119989

6.46025E-06 83.49383051

1.03291E-05 120.457554

1.63472E-05 171.4629566

2.56093E-05 240.743769

3.97118E-05 333.3233655

6.09553E-05 454.9489323

9.26132E-05 611.9065482

0.000139285 810.6753208

0.000207351 1057.37839

0.000305546 1356.994416

0.000445674 1712.307405

0.000643469 2122.597337

0.000919619 2582.110275

0.001300942 3078.394123

0.001821704 3590.642812

0.002525035 4088.252392

0.003464389 4529.849771

0.004704958 4863.098188

0.006324913 5025.600614

0.008416337 4947.200355

0.011085658 4553.905812

0.014453386 3773.536445

0.018652949 2542.999135

0.023828414 816.867297

0.030130931 -1423.330983

0.03771375 -4159.974115

0.046725789 -7331.439185

0.057303789 -10826.64453

0.069563239 -14483.27075

0.083588399 -18090.73351

0.099421884 -21398.64645

0.117054396 -24131.00358

0.136415346 -26005.66311

0.157365126 -26757.99329

0.179689839 -26166.83229

0.203099244 -24080.32373

0.227228529 -20438.81688

0.251644341 -15291.95634

0.275855243 -8807.380444

0.299326439 -1269.11189

0.321498297 6935.291082

0.341807853 15338.54547



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 23426.84996

0.37471238 30679.71893

0.386376486 36612.73034

0.394360216 40818.93036

0.398423793 43004.58958

0.398443914 43015.48549

0.394419966 40850.84662

0.386474058 36663.42248

0.374844865 30745.67175

0.359875719 23503.58987

0.34199778 15421.02896

0.32170943 7018.328554

0.299553264 -1190.44051

0.276092166 -8737.358339

0.25188591 -15233.94346

0.227469632 -20395.06643

0.203335281 -24051.91061

0.17991684 -26153.69018

0.157579839 -26759.04565

0.136615273 -26019.02559

0.117237788 -24154.22982

0.099587708 -21428.989

0.083736272 -18125.39301

0.069693339 -14519.61218

0.05741676 -10862.36537

0.046822635 -7364.68191

0.037795734 -4189.382232

0.030199481 -1448.053598

0.023885038 797.2130776

0.018699163 2528.396319

0.014490659 3763.654421

0.011115369 4548.193181

0.008439746 4944.974622

0.006343145 5026.127498

0.004718997 4865.656001

0.003475077 4533.776853

0.002533081 4092.977724

0.001827693 3595.701487

0.001305351 3083.430382

0.000922829 2586.871245

0.00064578 2126.920624

0.00044732 1716.10537

0.000306705 1360.237457

0.000208159 1060.078933

0.000139842 812.8736559

9.29928E-05 613.6591042

6.12113E-05 456.3191826

3.98826E-05 334.3752465

2.5722E-05 241.5373077

1.64209E-05 172.0517065

1.03767E-05 120.8874145

6.49066E-06 83.80285207
4.01874E-06 57.33083155

2.46298E-06 38.71285812

1.49417E-06 25.80695666
Absolute values

25.70190458 1.297946181

38.56014795 3.894574943

57.1119989 5.768311889

83.49383051 8.432876882

120.457554 12.16621296

171.4629566 17.31775861

240.743769 24.31512067

333.3233655 33.66565991

454.9489323 45.94984216

611.9065482 61.80256136

810.6753208 81.8782074

1057.37839 106.7952174

1356.994416 137.056436

1712.307405 172.9430479

2122.597337 214.3823311

2582.110275 260.7931377

3078.394123 310.9178064

3590.642812 362.6549241

4088.252392 412.9134916

4529.849771 457.5148269

4863.098188 491.172917

5025.600614 507.585662

4947.200355 499.6672358

4553.905812 459.944487

3773.536445 381.127181

2542.999135 256.8429126

816.867297 82.503597

1423.330983 143.7564293

4159.974115 420.1573857

7331.439185 740.4753577

10826.64453 1093.491098

14483.27075 1462.810346

18090.73351 1827.164084

21398.64645 2161.263292

24131.00358 2437.231361

26005.66311 2626.571974

26757.99329 2702.557322

26166.83229 2642.850062

24080.32373 2432.112697

20438.81688 2064.320505

15291.95634 1544.48759

8807.380444 889.5454248

1269.11189 128.1803008

6935.291082 700.4643993

15338.54547 1549.193092



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
23426.84996 2366.111846

30679.71893 3098.651611

36612.73034 3697.885765

40818.93036 4122.711967

43004.58958 4343.463548

43015.48549 4344.564035

40850.84662 4125.935508

36663.42248 3703.00567

30745.67175 3105.312847

23503.58987 2373.862576

15421.02896 1557.523925

7018.328554 708.8511839

1190.44051 120.2344915

8737.358339 882.4731922

15233.94346 1538.628289

20395.06643 2059.90171

24051.91061 2429.242972

26153.69018 2641.522708

26759.04565 2702.663611

26019.02559 2627.921584

24154.22982 2439.577212

21428.989 2164.327889

18125.39301 1830.664694

14519.61218 1466.48083

10862.36537 1097.098902

7364.68191 743.832873

4189.382232 423.1276054

1448.053598 146.2534134

797.2130776 80.51852084

2528.396319 255.3680282

3763.654421 380.1290965

4548.193181 459.3675113

4944.974622 499.4424368

5026.127498 507.6388773

4865.656001 491.4312561

4533.776853 457.9114622

4092.977724 413.3907501

3595.701487 363.1658502

3083.430382 311.4264686

2586.871245 261.2739958

2126.920624 214.8189831

1716.10537 173.3266424

1360.237457 137.3839832

1060.078933 107.0679723

812.8736559 82.10023925

613.6591042 61.97956952

456.3191826 46.08823744

334.3752465 33.77189989

241.5373077 24.39526808

172.0517065 17.37722235

120.8874145 12.20962886

83.80285207 8.464088059
57.33083155 5.790413987

38.71285812 3.90999867

25.80695666 1.303251311
Cumulative normalization

1.297946181 1.28191E-05

5.192521125 5.12837E-05

10.96083301 0.000108254

19.39370989 0.000191541

31.55992285 0.0003117

48.87768147 0.000482739

73.19280213 0.000722886

106.858462 0.001055384

152.8083042 0.001509206

214.6108656 0.002119596

296.489073 0.002928263

403.2842904 0.003983022

540.3407264 0.005336655

713.2837743 0.007044721

927.6661053 0.00916206

1188.459243 0.011737774

1499.377049 0.014808542

1862.031974 0.01839029

2274.945465 0.022468415

2732.460292 0.026987043

3223.633209 0.031838094

3731.218871 0.036851246

4230.886107 0.041786191

4690.830594 0.046328815

5071.957775 0.050093004

5328.800688 0.052629703

5411.304285 0.053444547

5555.060714 0.054864352

5975.218099 0.059014021

6715.693457 0.066327299

7809.184555 0.077127123

9271.994901 0.091574516

11099.15898 0.109620434

13260.42228 0.130966071

15697.65364 0.155037297

18324.22561 0.180978538

21026.78293 0.207670246

23669.633 0.233772257

26101.74569 0.257792929

28166.0662 0.278181114

29710.55379 0.293435189

30600.09921 0.302220751

30728.27951 0.303486719

31428.74391 0.31040483

32977.937 0.325705378

2 ( ) ( )

i

f x f b



  



 
35344.04885 0.349074195

38442.70046 0.379677913

42140.58623 0.416199945

46263.29819 0.456917758

50606.76174 0.499815816

54951.32578 0.542724742

59077.26128 0.583474392

62780.26695 0.620046991

65885.5798 0.650716499

68259.44238 0.674161865

69816.9663 0.689544692

70525.81749 0.696545635

70646.05198 0.697733127

71528.52517 0.70644884

73067.15346 0.721645046

75127.05517 0.741989589

77556.29814 0.765981918

80197.82085 0.792070819

82900.48446 0.818763577

85528.40604 0.844718147

87967.98326 0.868812542

90132.31115 0.890188446

91962.97584 0.908268939

93429.45667 0.922752583

94526.55557 0.933588039

95270.38844 0.940934477

95693.51605 0.945113482

95839.76946 0.946557948

95920.28798 0.947353186

96175.65601 0.949875319

96555.78511 0.95362965

97015.15262 0.958166576

97514.59506 0.963099301

98022.23393 0.968112978

98513.66519 0.97296658

98971.57665 0.977489126

99384.9674 0.981571965

99748.13325 0.985158759

100059.5597 0.988234551

100320.8337 0.990815014

100535.6527 0.992936666

100708.9793 0.99464852

100846.3633 0.996005388

100953.4313 0.99706284

101035.5315 0.9978737

101097.5111 0.998485839

101143.5993 0.998941028

101177.3712 0.999274575

101201.7665 0.999515514

101219.1437 0.99968714

101231.3534 0.999807727

101239.8175 0.999891323
101245.6079 0.999948512

101249.5179 0.999987128

101250.8211 1

5112717.898
Appendix E-8e (i): Process Gas TSM Run Data

In top 12%? Min Test Avg?

Fuel 

Category

Combusto

r Design

Metals 

Process 

Heater? Rank FacilityID

YES Yes Process Gas No 1 WVMountainStateCarbonFollansbee

YES Yes Process Gas No 1 WVMountainStateCarbonFollansbee
UnitID Data Source Source Tab Pollutant

Data 

Type Run Number

S1 ICR Phase II - Test Report Phase II Metals From Test Report TSM8 ET Sample #1

S1 ICR Phase II - Test Report Phase II Metals From Test Report TSM8 ET Sample #2
Test Date

Test 

Burning 

Waste?

NonDetect?Test Run 

Emission Value ln (Run Value)

If Test 

Run is 

ND, "1"

10/19/2009 ADL 9.14E-05 -9.300269182 0

10/19/2009 ADL 4.34E-05 -10.04429304 0
Appendix E-8e (ii): Process Gas TSM Test Ave

In top 

12%?

Min Test 

Avg?

YES Yes

Number of sources with 

test data 1

n 2

n-1 1

Average of natural log of 

test run values (μ) -9.672281111

Variance of natural log of 

test runs (σ2) 0.276785751

m (test runs in test 

condition) 3

Numerator for calculation 

of flatness of z distribution 

(β2z) 9.832341169

Denominator for 

calculation of flatness of z 

distribution (β2z) 0.305060577

Flatness of z distribution 

(β2z) 34.23078265

Skewness of z distribution 

(√β1z) 1.082050735
Go to distribution tab for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

Confidence level >0.99 >0.999 >0.995

Smallest value in column A 

that is larger than 

confidence level 0.990819335 0.999285031 0.996033654

z-value 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 7.23577E-05

exp (2μ + σ2) 5.23564E-09

exp (σ2) - 1 0.318883771

(σ2/n) + [σ4/(2(n - 1))] 0.176698051

Square root term 0.000115477

Confidence Level 99% 99.9% 99.5%

UPL 2.06E-04 2.38E-04 2.18E-04

Analysis of Data 

Distribution

Normal Log-normal

Skewness = #DIV/0! #DIV/0!

SE Skewness 1.73 1.73

Skewness Test #DIV/0! #DIV/0!

Kurtosis = #DIV/0! #DIV/0!

SE Kurtosis 3.46 3.46

Kurtosis Test #DIV/0! #DIV/0!

Number of test runs = 2 2
ndix E-8e (ii): Process Gas TSM Test Averages and Calculation of UPL

Combustor 

Design

Fuel 

Category Rank FacilityID UnitID Data Source Source Tab

N/A Process Gas 1 WVMountainStateCarbonFollansbee S1 ICR Phase II - Test ReportPhase II Metals From Test Report

Pollutant Test Average

ln (Test 

Average)

Number of 

test runs in 

average

Num 

test runs 

- 1 Data Type Fuel

TSM8 6.74E-05 -9.604624191 2 1 ET Coke Oven Gas
Appendix E-8e (iii): Process Gas TSM Calculation of "z" Distribution

∆z z

VLOOKUP 0.101 34.230783 1.0820507

1.1793E-05 -5 =f(a) 603.17549

4.71523E-05 1 -4.899 548.51536

9.94823E-05 2 -4.798 497.46519

0.000175922 3 -4.697 449.87008

0.000286106 4 -4.596 405.57838

0.000442801 5 -4.495 364.44171

0.000662595 6 -4.394 326.3149

0.000966598 7 -4.293 291.05608

0.001381073 8 -4.192 258.52658

0.001937892 9 -4.091 228.59103

0.002674668 10 -3.99 201.11725

0.003634383 11 -3.889 175.97637

0.004864287 12 -3.788 153.04273

0.006413855 13 -3.687 132.19394

0.008331558 14 -3.586 113.31085

0.010660266 15 -3.485 96.277565

0.013431196 16 -3.384 80.981433

0.016656415 17 -3.283 67.313058

0.020320142 18 -3.182 55.166294

0.024369308 19 -3.081 44.438242

0.028704104 20 -2.98 35.029255

0.033169569 21 -2.879 26.842936

0.037549488 22 -2.778 19.786135

0.041564109 23 -2.677 13.768955

0.044873194 24 -2.576 8.7047485

0.047085868 25 -2.475 4.510116

0.047778342 26 -2.374 1.1049094

0.049036636 27 -2.273 -1.58777

0.052648825 28 -2.172 -3.64157

0.058949583 29 -2.071 -5.126891

0.068159786 30 -1.97 -6.11088

0.080340394 31 -1.869 -6.657438

0.095350076 32 -1.768 -6.827212

0.112811701 33 -1.667 -6.677603

0.132092967 34 -1.566 -6.26276

0.152305925 35 -1.465 -5.633581

0.172329014 36 -1.364 -4.837718

0.1908534 37 -1.263 -3.919568

0.206453068 38 -1.162 -2.920283

0.217675462 39 -1.061 -1.877762

0.2231468 40 -0.96 -0.826655

0.224609769 41 -0.859 0.2016378

0.23389149 42 -0.758 1.1789662

0.251483433 43 -0.657 2.0804298

0.277414256 44 -0.556 2.8843782

 

1 3

 2

1 3

6 24

z

z z

 

 

 

  

 

2z

1z
0.311212848 45 -0.455 3.5724108

0.351910056 46 -0.354 4.1293768

0.398081279 47 -0.253 4.5433755

0.447928032 48 -0.152 4.805756

0.499392516 49 -0.051 4.9111172

0.550295694 50 0.05 4.857308

0.598486769 51 0.151 4.6454272

0.641990674 52 0.252 4.2798233

0.679140387 53 0.353 3.768095

0.70868246 54 0.454 3.1210905

0.729847075 55 0.555 2.3529083

0.742377637 56 0.656 1.4808966

0.746519116 57 0.757 0.5256533

0.750069878 58 0.858 -0.488974

0.760245125 59 0.959 -1.535886

0.775709123 60 1.06 -2.584737

0.794972382 61 1.161 -3.601927

0.816506327 62 1.262 -4.550611

0.838848586 63 1.363 -5.39069

0.860690989 64 1.464 -6.078817

0.880944903 65 1.565 -6.568395

0.898781334 66 1.666 -6.809577

0.913645901 67 1.767 -6.749266

0.925251126 68 1.868 -6.331115

0.93355021 69 1.969 -5.495528

0.938697499 70 2.07 -4.179657

0.941001204 71 2.171 -2.317406

0.941128745 72 2.272 0.1605706

0.943218733 73 2.373 3.3268699

0.946788021 74 2.474 7.2573377

0.951373391 75 2.575 12.03107

0.956556912 76 2.676 17.730413

0.961982287 77 2.777 24.440963

0.967362971 78 2.878 32.251565

0.972483338 79 2.979 41.254314

0.977194515 80 3.08 51.544557

0.981406547 81 3.181 63.220888

0.985078477 82 3.282 76.385154

0.988207654 83 3.383 91.142448

0.990819335 84 3.484 107.60112

0.99295729 85 3.585 125.87275

0.994675863 86 3.686 146.07221

0.996033654 87 3.787 168.31757

0.997088832 88 3.888 192.73018

0.997895927 89 3.989 219.43464

0.998503866 90 4.09 248.55879

0.99895503 91 4.191 280.23373

0.999285031 92 4.292 314.5938

0.999523018 93 4.393 351.7766

0.999692288 94 4.494 391.92296

0.999811058 95 4.595 435.17698

0.999893289 96 4.696 481.68601
0.999949479 97 4.797 531.60064

0.99998738 98 4.898 585.07472 1 99 4.999 642.26533
distribution of Z

Normal 

distribution

1.48672E-06 0.000896753

2.45094E-06 0.001344378

3.9995E-06 0.001989613

6.46025E-06 0.002906272

1.03291E-05 0.004189255

1.63472E-05 0.005957619

2.56093E-05 0.008356683

3.97118E-05 0.011558351

6.09553E-05 0.015758553

9.26132E-05 0.021170543

0.000139285 0.028012612

0.000207351 0.036488822

0.000305546 0.046761581

0.000445674 0.058915391

0.000643469 0.072912034

0.000919619 0.088538685

0.001300942 0.10535216

0.001821704 0.122624457

0.002525035 0.139296797

0.003464389 0.153951351

0.004704958 0.164811159

0.006324913 0.169779227

0.008416337 0.166526789

0.011085658 0.152637938

0.014453386 0.125813095

0.018652949 0.084126962

0.023828414 0.026328239

0.030130931 -0.047840983

0.03771375 -0.137337272

0.046725789 -0.239558023

0.057303789 -0.3501766

0.069563239 -0.463112939

0.083588399 -0.570675759

0.099421884 -0.663899899

0.117054396 -0.733083568

0.136415346 -0.768506966

0.157365126 -0.761288069

0.179689839 -0.704306626

0.203099244 -0.593107328

0.227228529 -0.426681134

0.251644341 -0.208023079

0.275855243 0.055622834

0.299326439 0.35289575

0.321498297 0.668854646

0.341807853 0.985903124



  

2 4

3 2

336

24

z

z z

z z

    

 

 





1

( ) 1 3 

6 

z

G

f z z z 

 



    

 

( )z
0.359712192 1.285039708

0.37471238 1.547328608

0.386376486 1.755453461

0.394360216 1.895198967

0.398423793 1.95670594

0.398443914 1.935364811

0.394419966 1.832249223

0.386474058 1.65404068

0.374844865 1.412451044

0.359875719 1.123204699

0.34199778 0.804689428

0.32170943 0.476418385

0.299553264 0.157461148

0.276092166 -0.135001778

0.25188591 -0.386868076

0.227469632 -0.587949092

0.203335281 -0.732398932

0.17991684 -0.818731572

0.157579839 -0.84946409

0.136615273 -0.830459289

0.117237788 -0.770064154

0.099587708 -0.678150215

0.083736272 -0.565158411

0.069693339 -0.441236573

0.05741676 -0.3155354

0.046822635 -0.19570255

0.037795734 -0.08758807

0.030199481 0.004849149

0.023885038 0.079462414

0.018699163 0.135706139

0.014490659 0.174338139

0.011115369 0.197080088

0.008439746 0.206275526

0.006343145 0.204576361

0.004718997 0.194678979

0.003475077 0.179121324

0.002533081 0.160143615

0.001827693 0.139608643

0.001305351 0.118972919

0.000922829 0.099297438

0.00064578 0.081286159

0.00044732 0.065341006

0.000306705 0.051623898

0.000208159 0.040118434

0.000139842 0.030686127

9.29928E-05 0.023114177

6.12113E-05 0.017153466

3.98826E-05 0.012546817

2.5722E-05 0.009048405

1.64209E-05 0.006435722

1.03767E-05 0.004515686

6.49066E-06 0.00312646
4.01874E-06 0.002136363

2.46298E-06 0.001441024

1.49417E-06 0.000959654
Absolute values

0.000896753 4.5286E-05

0.001344378 0.000135782

0.001989613 0.000200951

0.002906272 0.000293533

0.004189255 0.000423115

0.005957619 0.000601719

0.008356683 0.000844025

0.011558351 0.001167393

0.015758553 0.001591614

0.021170543 0.002138225

0.028012612 0.002829274

0.036488822 0.003685371

0.046761581 0.00472292

0.058915391 0.005950454

0.072912034 0.007364115

0.088538685 0.008942407

0.10535216 0.010640568

0.122624457 0.01238507

0.139296797 0.014068977

0.153951351 0.015549086

0.164811159 0.016645927

0.169779227 0.017147702

0.166526789 0.016819206

0.152637938 0.015416432

0.125813095 0.012707123

0.084126962 0.008496823

0.026328239 0.002659152

0.047840983 0.004831939

0.137337272 0.013871064

0.239558023 0.02419536

0.3501766 0.035367837

0.463112939 0.046774407

0.570675759 0.057638252

0.663899899 0.06705389

0.733083568 0.07404144

0.768506966 0.077619204

0.761288069 0.076890095

0.704306626 0.071134969

0.593107328 0.05990384

0.426681134 0.043094795

0.208023079 0.021010331

0.055622834 0.005617906

0.35289575 0.035642471

0.668854646 0.067554319

0.985903124 0.099576215



  

2 4

3 2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( )

2

M

i

i

x

f a f x f b



  

      
1.285039708 0.12978901

1.547328608 0.156280189

1.755453461 0.1773008

1.895198967 0.191415096

1.95670594 0.1976273

1.935364811 0.195471846

1.832249223 0.185057172

1.65404068 0.167058109

1.412451044 0.142657555

1.123204699 0.113443675

0.804689428 0.081273632

0.476418385 0.048118257

0.157461148 0.015903576

0.135001778 0.01363518

0.386868076 0.039073676

0.587949092 0.059382858

0.732398932 0.073972292

0.818731572 0.082691889

0.84946409 0.085795873

0.830459289 0.083876388

0.770064154 0.07777648

0.678150215 0.068493172

0.565158411 0.057080999

0.441236573 0.044564894

0.3155354 0.031869075

0.19570255 0.019765958

0.08758807 0.008846395

0.004849149 0.000489764

0.079462414 0.008025704

0.135706139 0.01370632

0.174338139 0.017608152

0.197080088 0.019905089

0.206275526 0.020833828

0.204576361 0.020662212

0.194678979 0.019662577

0.179121324 0.018091254

0.160143615 0.016174505

0.139608643 0.014100473

0.118972919 0.012016265

0.099297438 0.010029041

0.081286159 0.008209902

0.065341006 0.006599442

0.051623898 0.005214014

0.040118434 0.004051962

0.030686127 0.003099299

0.023114177 0.002334532

0.017153466 0.0017325

0.012546817 0.001267229

0.009048405 0.000913889

0.006435722 0.000650008

0.004515686 0.000456084

0.00312646 0.000315772
0.002136363 0.000215773

0.001441024 0.000145543

0.000959654 4.84625E-05
Cumulative normalization

4.5286E-05 1.1793E-05

0.000181068 4.71523E-05

0.000382019 9.94823E-05

0.000675553 0.000175922

0.001098667 0.000286106

0.001700387 0.000442801

0.002544412 0.000662595

0.003711805 0.000966598

0.005303419 0.001381073

0.007441644 0.001937892

0.010270918 0.002674668

0.013956289 0.003634383

0.018679209 0.004864287

0.024629663 0.006413855

0.031993778 0.008331558

0.040936186 0.010660266

0.051576754 0.013431196

0.063961824 0.016656415

0.0780308 0.020320142

0.093579887 0.024369308

0.110225814 0.028704104

0.127373516 0.033169569

0.144192722 0.037549488

0.159609153 0.041564109

0.172316276 0.044873194

0.180813099 0.047085868

0.183472251 0.047778342

0.18830419 0.049036636

0.202175255 0.052648825

0.226370615 0.058949583

0.261738452 0.068159786

0.308512859 0.080340394

0.36615111 0.095350076

0.433205 0.112811701

0.507246441 0.132092967

0.584865644 0.152305925

0.661755739 0.172329014

0.732890708 0.1908534

0.792794548 0.206453068

0.835889343 0.217675462

0.856899674 0.2231468

0.86251758 0.224609769

0.898160051 0.23389149

0.96571437 0.251483433

1.065290586 0.277414256

2 ( ) ( )

i

f x f b



  



 
1.195079596 0.311212848

1.351359785 0.351910056

1.528660585 0.398081279

1.720075681 0.447928032

1.917702981 0.499392516

2.113174827 0.550295694

2.298231998 0.598486769

2.465290107 0.641990674

2.607947662 0.679140387

2.721391337 0.70868246

2.802664969 0.729847075

2.850783226 0.742377637

2.866686802 0.746519116

2.880321982 0.750069878

2.919395657 0.760245125

2.978778516 0.775709123

3.052750808 0.794972382

3.135442697 0.816506327

3.22123857 0.838848586

3.305114958 0.860690989

3.382891437 0.880944903

3.451384609 0.898781334

3.508465609 0.913645901

3.553030502 0.925251126

3.584899578 0.93355021

3.604665535 0.938697499

3.61351193 0.941001204

3.614001695 0.941128745

3.622027398 0.943218733

3.635733718 0.946788021

3.65334187 0.951373391

3.673246959 0.956556912

3.694080787 0.961982287

3.714743 0.967362971

3.734405577 0.972483338

3.75249683 0.977194515

3.768671335 0.981406547

3.782771808 0.985078477

3.794788073 0.988207654

3.804817114 0.990819335

3.813027016 0.99295729

3.819626458 0.994675863

3.824840472 0.996033654

3.828892434 0.997088832

3.831991732 0.997895927

3.834326264 0.998503866

3.836058764 0.99895503

3.837325993 0.999285031

3.838239882 0.999523018

3.83888989 0.999692288

3.839345974 0.999811058

3.839661747 0.999893289
3.839877519 0.999949479

3.840023063 0.99998738

3.840071525 1

192.6574514
Appendix E-9: Summary of Subcategories Where Substitutions Were Used in New Source UPL Calculation

Fuel Category Combustor 

Design Pollutant

Appendix 

for UPL 

Calculation

Solid N/A Hg E-1a

Biomass/Bio-Based 

Solid

FB CO E-2b

Coal/Fossil Solid PC CO E-3c

Coal/Fossil Solid Stoker/Sloped 

Grate/Other

CO E-3d

Biomass/Bio-Based 

Solid

FB Filterable PM E-4c

Biomass/Bio-Based 

Solid

FB TSM E-4d

Biomass/Bio-Based 

Solid

Suspension 

Burner

Filterable PM E-4g

Biomass/Bio-Based 

Solid

Suspension 

Burner

TSM E-4h

Biomass/Bio-Based 

Solid

Suspension/

Grate

TSM E-4j

Wet Biomass Stoker/Sloped 

Grate/Other TSM E-4l

Liquid N/A HCl E-6b

Heavy Liquid N/A Filterable PM E-6c

Heavy Liquid N/A CO E-6d

Heavy Liquid N/A TSM E-6g

Non-Continental 

Liquid N/A TSM E-7c
utions Were Used in New Source UPL Calculation

Notes

Units ranked #1 through #3 were all used in the UPL calculation because they have 

identical minimum test average and number of tests, and they also share a common 

stack.

Units ranked #1 and #2 were not used in the UPL calculation because they were cofiring biomass fuels with process-specific fuels.

Unit ranked #1 was not used in the UPL calculation because it's paired NOx emissions 

from the same test exceeded the acceptable threshold.

Unit ranked #1 was not used in the UPL calculation because it's paired NOx emissions 

from the same test exceeded the acceptable threshold.

Units ranked #1 and #2 were not used in the UPL calculation because they were cofiring biomass fuels with process-specific fuels.

Units ranked #1 and #2 were not used in the UPL calculation because they were cofiring biomass fuels with process-specific fuels.

Units ranked #1 and #2 were not used in the UPL calculation because they were cofiring biomass fuels with natural gas.

Unit ranked #1 was not used in the UPL calculation because it only had 2 test runs 

available.

Units ranked #1 and #2 were both used in the UPL calculation because they have 

identical minimum test average and number of tests, and they also share a common 

stack.

Unit ranked #1 was not used in the UPL calculation because it was co-firing natural 

gas and process-specific fuels, and because it only had 2 test runs available.

Unit ranked #1 was not used in the UPL calculation because it was firing 100% 

process-specific fuel.

Unit ranked #1 was not used in the UPL calculation because it was firing 100% 

process-specific fuel.

Unit ranked #1 was not used in the UPL calculation because it was co-firing natural 

gas. Unit ranked #2 was not used in the UPL calculation because it only had 2 test 

runs available. Unit ranked #3 was not used in the UPL calculation because it's paired 

NOx emissions from the same test exceeded the acceptable threshold. 

Unit ranked #1 was not used in the UPL calculation because it was firing 100% 

process-specific fuel.

Units ranked #1 through #8 were all used in the UPL calculation. No emissions testing 

data were available for this subcategory, only fuel analysis data. All of the top 8 

ranked units are at the same facility and share the same fuel samples.