Appendix E-1(b): Summary of Statistical, Fuel, and Measurement Detection Level Variability for Existing Sources (Rec

UPL

99% Confidence 

Level

UPL

99.9% Confidence 

Level

Non-Continental Tie 3.1E-01 3.6E-01

Represents the variability selected as the MACT floor emission limit for the subcategory.

PM (lb/mmBtu)

Subcategory

Distribution (Normal, Lognormal 

or Tie)

(Lognormal or Ties default to 

lognormal distribution using 

Bhaumik and Gibbons approach for 

lognormal distributions. Normal 

distributions use proposed UPL 

approach.)

Statistical Variability
y for Existing Sources (Recommended Option)

Measurement Detection 

Level Variability

UPL

99.5% Confidence 

Level 3x RDL

Max Ratio (all data 

no outliers 

removed)

Max Ratio (all data 

outliers removed, 

fuel-specific)

3.2E-01 NA

for the subcategory.

l Variability Fuel Variability
Max Ratio (all data 

outliers removed, 

unit-specific)

99% Combined 

Variance * Max 

Ratio (all data 

outliers removed, 

fuel-specific)

Fuel Variability
Appendix C-4c (i)(b): Non-Continental Liquid Fuel Filterable PM Run Data (Recommended Option)

Numeric 

Value of 

ND Data

ND Data < Avg 

of Best 

Performers

In top 

12%?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID

N/A N/A YES Liquid no 1 HITesoro

N/A N/A YES Liquid no 1 HITesoro

N/A N/A YES Liquid no 1 HITesoro

N/A N/A YES Liquid no 1 HITesoro

N/A N/A YES Liquid no 1 HITesoro

N/A N/A YES Liquid no 1 HITesoro

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei


ommended Option)

UnitID Data Source Source Tab

SG-1102 7/15/2011 Data Submittal PM (filter)

SG-1102 7/15/2011 Data Submittal PM (filter)

SG-1102 7/15/2011 Data Submittal PM (filter)

SG-1102 7/15/2011 Data Submittal PM (filter)

SG-1102 7/15/2011 Data Submittal PM (filter)

SG-1102 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)


Pollutant

Data 

Type

Run 

Number Test Date

Test 

Burning 

Waste?

NonDetect?

Test Run 

Emission 

Value

Particulate Matter (PM) filterable ET 1 12/13/2010 0.00413

Particulate Matter (PM) filterable ET 2 12/13/2010 0.00643

Particulate Matter (PM) filterable ET 3 12/13/2010 0.00584

Particulate Matter (PM) filterable ET 1 10/9/2010 0.0038

Particulate Matter (PM) filterable ET 2 10/9/2010 0.00517

Particulate Matter (PM) filterable ET 3 10/9/2010 0.00333

Particulate Matter (PM) filterable ET 1 12/14/2009 0.072134591

Particulate Matter (PM) filterable ET 2 12/14/2009 0.06514044

Particulate Matter (PM) filterable ET 3 12/15/2009 0.068337227

Particulate Matter (PM) filterable ET 4 12/15/2009 0.063203083

Particulate Matter (PM) filterable ET 5 12/15/2009 0.068691306

Particulate Matter (PM) filterable ET 6 12/15/2009 0.059662294


ln (Run Value)

If Test 

Run is 

ND, "1"

-5.489477872 0

-5.046780741 0

-5.143024482 0

-5.572754212 0

-5.26488259 0

-5.704782975 0

-2.629221582 0

-2.731209721 0

-2.683300615 0

-2.761402203 0

-2.678132645 0

-2.819055054 0


Appendix C-4c (ii)(b): Non-Continental Liquid Fuel 

In top 

12%?

Fuel 

Category

Combusto

r Design

YES Liquid N/A

YES Liquid N/A

Number of sources with 

test data 2

n 12 Step 4

n-1 10

Max ND 3x DL

0 0

Average of natural log of 

test run values (μ) -4.04366872

Variance of natural log 

of test runs (σ

2

) 1.95239389

m 3

Numerator for 

calculation of flatness of 

z distribution (β2z) 3309.477145

Denominator for 

calculation of flatness of 

z distribution (β2z) 109.6454309

Flatness of z distribution 

(β2z) 32.18344783

Skewness of z 

distribution (√β1z) 12.84076467
Go to tab distribution for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

>0.99 >0.999 >0.995

Smallest value in 

column A that is larger 

than normalization 0.99200158 0.999241283 0.99559794

z 3.585 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.046538666

exp (2μ + σ2) 0.002165847

exp (σ

2

) - 1 6.045533639

(σ

2

/n) + [σ

4

/(2(n - 1))] 0.335965032

Square root term 0.214079313

Confidence Level 99% 99.9% 99.5%

UPL 3.02E-01 3.53E-01 3.17E-01

Analysis of Data Distribution Normal Log-normal

Skewness = 2.72E-02 -4.96E-02

SE Skewness 0.71 0.71

Skewness Test normal normal

Kurtosis = -2.39E+00 -2.34E+00

SE Kurtosis 1.41 1.41

Kurtosis Test normal normal

Number of test runs = 12 12
b): Non-Continental Liquid Fuel Filterable PM Test Averages and Calculation of UPL (Recommended Option)

Rank FacilityID UnitID Data Source

1 HITesoro SG-1102 7/15/2011 Data Submittal

2 HIChevronKapolei CSP No. 0088-01-C 7/15/2011 Data Submittal

Source Tab Pollutant

NonDetect? Test Averageln (Test 

Average)

Number of 

test runs in 

average

Num test 

runs - 1

Data 

Type

PM (filter) Particulate Matter (PM) filterable 0.004783333 -5.342617625 6 5 ET

PM (filter) Particulate Matter (PM) filterable 0.066194823 -2.715153016 6 5 ET

Fuel

Residual Oil

Residual Oil
Appendix C-4c (iii)(b): Non-Continental Liquid Fuel Filterable PM Calculation of "z" Distribution (Recommended Optio

∆z z

VLOOKUP 0.101 32.18345 12.84076

5.46263E-06 -5 =f(a) 346.823

2.15501E-05 1 -4.899 309.784

4.48989E-05 2 -4.798 275.5271

7.82869E-05 3 -4.697 243.9198

0.000125304 4 -4.596 214.8325

0.00019047 5 -4.495 188.1388

0.000279304 6 -4.394 163.7153

0.000398316 7 -4.293 141.4415

0.00055485 8 -4.192 121.2

0.000756726 9 -4.091 102.8765

0.001011591 10 -3.99 86.35981

0.001325901 11 -3.889 71.54155

0.001703442 12 -3.788 58.31654

0.002143323 13 -3.687 46.58259

0.002637426 14 -3.586 36.24055

0.00316731 15 -3.485 27.19431

0.003700708 16 -3.384 19.3508

0.004187823 17 -3.283 12.61998

0.004557774 18 -3.182 6.91484

0.004715698 19 -3.081 2.151428

0.004890273 20 -2.98 -1.75119

0.005543041 21 -2.879 -4.8709

0.006841719 22 -2.778 -7.28255

0.008969307 23 -2.677 -9.05798

0.012113168 24 -2.576 -10.2659

0.016449633 25 -2.475 -10.9722

0.022124227 26 -2.374 -11.2394

0.029228166 27 -2.273 -11.1274

0.03777246 28 -2.172 -10.6926

0.0476616 29 -2.071 -9.98865

0.058669477 30 -1.97 -9.0662

0.07042065 31 -1.869 -7.97272

0.082380291 32 -1.768 -6.7527

0.093856023 33 -1.667 -5.44758

0.104014274 34 -1.566 -4.09578

0.111912782 35 -1.465 -2.73267

0.116549407 36 -1.364 -1.39059

0.116925717 37 -1.263 -0.09884

0.121729577 38 -1.162 1.116316

0.132474012 39 -1.061 2.231649

0.149679894 40 -0.96 3.22697

0.173556985 41 -0.859 4.085125

0.203948788 42 -0.758 4.791997

0.240300979 43 -0.657 5.336507

0.281658972 44 -0.556 5.710611

0.326697717 45 -0.455 5.909303

 

1 3

 2

1 3

6 24

z z

z z

 

    

 

  

 

2z

1z

 

1 3

 2

1 3

6 24

z z

z z

 

    

 

  

 

2z

1z
0.373783799 46 -0.354 5.930614

0.421066633 47 -0.253 5.775611

0.466592357 48 -0.152 5.448399

0.508431405 49 -0.051 4.956118

0.544808939 50 0.05 4.308947

0.574226649 51 0.151 3.520101

0.595565025 52 0.252 2.60583

0.608156948 53 0.353 1.585425

0.611826229 54 0.454 0.481209

0.616764276 55 0.555 -0.68145

0.629539456 56 0.656 -1.87417

0.648996158 57 0.757 -3.06549

0.673688373 58 0.858 -4.22096

0.701990878 59 0.959 -5.30306

0.732216235 60 1.06 -6.27124

0.762727378 61 1.161 -7.08192

0.792036797 62 1.262 -7.68848

0.818885297 63 1.363 -8.04127

0.84229592 64 1.464 -8.08758

0.861601312 65 1.565 -7.7717

0.876445469 66 1.666 -7.03485

0.886762988 67 1.767 -5.81523

0.892740576 68 1.868 -4.04799

0.894766472 69 1.969 -1.66527

0.896159233 70 2.07 1.403866

0.900350235 71 2.171 5.233356

0.906685109 72 2.272 9.900192

0.914521484 73 2.373 15.4844

0.923265289 74 2.474 22.06904

0.932396473 75 2.575 29.74021

0.941484307 76 2.676 38.58706

0.950193316 77 2.777 48.70174

0.958281442 78 2.878 60.17947

0.965592358 79 2.979 73.1185

0.972043895 80 3.08 87.62011

0.977614388 81 3.181 103.7886

0.98232851 82 3.282 121.7314

0.986243757 83 3.383 141.5588

0.989438431 84 3.484 163.3843

0.99200158 85 3.585 187.3244

0.994025102 86 3.686 213.4985

0.99559794 87 3.787 242.0292

0.996802195 88 3.888 273.042

0.997710846 89 3.989 306.6657

0.99838674 90 4.09 343.0318

0.998882535 91 4.191 382.275

0.999241283 92 4.292 424.5331

0.999497406 93 4.393 469.9468

0.999677863 94 4.494 518.6599

0.999803365 95 4.595 570.8192

0.999889535 96 4.696 626.5747

0.999947955 97 4.797 686.0792

0.999987068 98 4.898 749.4887 1 99 4.999 816.9621

ibution (Recommended Option)

distribution of Z

Normal 

distribution

1.48672E-06 0.000515628

2.45094E-06 0.000759262

3.9995E-06 0.001101971

6.46025E-06 0.001575782

1.03291E-05 0.002219024

1.63472E-05 0.003075552

2.56093E-05 0.004192627

3.97118E-05 0.00561689

6.09553E-05 0.007387776

9.26132E-05 0.009527723

0.000139285 0.012028624

0.000207351 0.01483419

0.000305546 0.017818379

0.000445674 0.020760643

0.000643469 0.023319672

0.000919619 0.025008405

0.001300942 0.025174269

0.001821704 0.022989857

0.002525035 0.01746021

0.003464389 0.007453384

0.004704958 -0.008239261

0.006324913 -0.030807996

0.008416337 -0.061292429

0.011085658 -0.100413622

0.014453386 -0.14837762

0.018652949 -0.204663791

0.023828414 -0.267818082

0.030130931 -0.335277479

0.03771375 -0.403256452

0.046725789 -0.466727776

0.057303789 -0.519527707

0.069563239 -0.554608272

0.083588399 -0.564447131

0.099421884 -0.541608547

0.117054396 -0.479428785

0.136415346 -0.372777893

0.157365126 -0.218830119

0.179689839 -0.017760354

0.203099244 0.226722923

0.227228529 0.507094312

0.251644341 0.812048669

0.275855243 1.126903036

0.299326439 1.434371345

0.321498297 1.715677759

0.341807853 1.951931553

0.359712192 2.125648285



  

2 4

3 2

336

24

z

z z

z z

    

 

 



 

1 3

( ) 1 3 

6 

z

G

f z z z 

 



    

( )z  



  

2 4

3 2

336

24

z

z z

z z

    

 

 



 

1 3

( ) 1 3 

6 

z

G

f z z z 

 



    

( )z  
0.37471238 2.22227444

0.386376486 2.231560323

0.394360216 2.148631754

0.398423793 1.974635444

0.398443914 1.716873837

0.394419966 1.388398047

0.386474058 1.007085861

0.374844865 0.59428829

0.359875719 0.173175375

0.34199778 -0.233056045

0.32170943 -0.602937314

0.299553264 -0.918278389

0.276092166 -1.165373601

0.25188591 -1.335764845

0.227469632 -1.426515708

0.203335281 -1.440003722

0.17991684 -1.383287131

0.157579839 -1.267141649

0.136615273 -1.104887614

0.117237788 -0.911137146

0.099587708 -0.700584725

0.083736272 -0.486945582

0.069693339 -0.282118157

0.05741676 -0.095614202

0.046822635 0.065732713

0.037795734 0.197798541

0.030199481 0.29898067

0.023885038 0.369845476

0.018699163 0.412672577

0.014490659 0.430955301

0.011115369 0.42890936

0.008439746 0.411030313

0.006343145 0.38172713

0.004718997 0.345045979

0.003475077 0.304486669

0.002533081 0.262904961

0.001827693 0.222487661

0.001305351 0.184783983

0.000922829 0.150775789

0.00064578 0.120970401

0.00044732 0.095502112

0.000306705 0.074231638

0.000208159 0.05683603

0.000139842 0.042884669

9.29928E-05 0.031899484

6.12113E-05 0.023399543

3.98826E-05 0.016931481

2.5722E-05 0.012087981

1.64209E-05 0.008516854

1.03767E-05 0.0059232

6.49066E-06 0.004066882

4.01874E-06 0.002757171

2.46298E-06 0.001845972

1.49417E-06 0.001220681

Absolute values

0.000515628 2.60392E-05

0.000759262 7.66854E-05

0.001101971 0.000111299

0.001575782 0.000159154

0.002219024 0.000224121

0.003075552 0.000310631

0.004192627 0.000423455

0.00561689 0.000567306

0.007387776 0.000746165

0.009527723 0.0009623

0.012028624 0.001214891

0.01483419 0.001498253

0.017818379 0.001799656

0.020760643 0.002096825

0.023319672 0.002355287

0.025008405 0.002525849

0.025174269 0.002542601

0.022989857 0.002321976

0.01746021 0.001763481

0.007453384 0.000752792

0.008239261 0.000832165

0.030807996 0.003111608

0.061292429 0.006190535

0.100413622 0.010141776

0.14837762 0.01498614

0.204663791 0.020671043

0.267818082 0.027049626

0.335277479 0.033863025

0.403256452 0.040728902

0.466727776 0.047139505

0.519527707 0.052472298

0.554608272 0.056015435

0.564447131 0.05700916

0.541608547 0.054702463

0.479428785 0.048422307

0.372777893 0.037650567

0.218830119 0.022101842

0.017760354 0.001793796

0.226722923 0.022899015

0.507094312 0.051216526

0.812048669 0.082016916

1.126903036 0.113817207

1.434371345 0.144871506

1.715677759 0.173283454

1.951931553 0.197145087

2.125648285 0.214690477



  

2 4

3

2

336

3 ( )

6 24

z

z z

z z z





   

  





  

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



  

      
2.22227444 0.224449718

2.231560323 0.225387593

2.148631754 0.217011807

1.974635444 0.19943818

1.716873837 0.173404258

1.388398047 0.140228203

1.007085861 0.101715672

0.59428829 0.060023117

0.173175375 0.017490713

0.233056045 0.023538661

0.602937314 0.060896669

0.918278389 0.092746117

1.165373601 0.117702734

1.335764845 0.134912249

1.426515708 0.144078087

1.440003722 0.145440376

1.383287131 0.139712

1.267141649 0.127981307

1.104887614 0.111593649

0.911137146 0.092024852

0.700584725 0.070759057

0.486945582 0.049181504

0.282118157 0.028493934

0.095614202 0.009657034

0.065732713 0.006639004

0.197798541 0.019977653

0.29898067 0.030197048

0.369845476 0.037354393

0.412672577 0.04167993

0.430955301 0.043526485

0.42890936 0.043319845

0.411030313 0.041514062

0.38172713 0.03855444

0.345045979 0.034849644

0.304486669 0.030753154

0.262904961 0.026553401

0.222487661 0.022471254

0.184783983 0.018663182

0.150775789 0.015228355

0.120970401 0.01221801

0.095502112 0.009645713

0.074231638 0.007497395

0.05683603 0.005740439

0.042884669 0.004331352

0.031899484 0.003221848

0.023399543 0.002363354

0.016931481 0.00171008

0.012087981 0.001220886

0.008516854 0.000860202

0.0059232 0.000598243

0.004066882 0.000410755

0.002757171 0.000278474

0.001845972 0.000186443

0.001220681 6.16444E-05

Cumulative normalization

2.60392E-05 5.46263E-06

0.000102725 2.15501E-05

0.000214024 4.48989E-05

0.000373178 7.82869E-05

0.000597299 0.000125304

0.00090793 0.00019047

0.001331385 0.000279304

0.001898691 0.000398316

0.002644857 0.00055485

0.003607157 0.000756726

0.004822048 0.001011591

0.006320301 0.001325901

0.008119957 0.001703442

0.010216782 0.002143323

0.012572069 0.002637426

0.015097918 0.00316731

0.017640519 0.003700708

0.019962495 0.004187823

0.021725976 0.004557774

0.022478768 0.004715698

0.023310933 0.004890273

0.02642254 0.005543041

0.032613076 0.006841719

0.042754852 0.008969307

0.057740991 0.012113168

0.078412034 0.016449633

0.10546166 0.022124227

0.139324686 0.029228166

0.180053587 0.03777246

0.227193093 0.0476616

0.279665391 0.058669477

0.335680827 0.07042065

0.392689987 0.082380291

0.44739245 0.093856023

0.495814757 0.104014274

0.533465324 0.111912782

0.555567166 0.116549407

0.557360962 0.116925717

0.580259977 0.121729577

0.631476503 0.132474012

0.713493418 0.149679894

0.827310625 0.173556985

0.972182131 0.203948788

1.145465585 0.240300979

1.342610672 0.281658972

1.557301148 0.326697717

2 ( ) ( )

i

f x f b



  



 
1.781750867 0.373783799

2.007138459 0.421066633

2.224150266 0.466592357

2.423588446 0.508431405

2.596992704 0.544808939

2.737220907 0.574226649

2.838936579 0.595565025

2.898959696 0.608156948

2.916450409 0.611826229

2.939989069 0.616764276

3.000885738 0.629539456

3.093631855 0.648996158

3.211334589 0.673688373

3.346246838 0.701990878

3.490324925 0.732216235

3.635765301 0.762727378

3.775477301 0.792036797

3.903458607 0.818885297

4.015052256 0.84229592

4.107077108 0.861601312

4.177836165 0.876445469

4.227017669 0.886762988

4.255511603 0.892740576

4.265168638 0.894766472

4.271807642 0.896159233

4.291785294 0.900350235

4.321982342 0.906685109

4.359336735 0.914521484

4.401016665 0.923265289

4.444543151 0.932396473

4.487862996 0.941484307

4.529377058 0.950193316

4.567931498 0.958281442

4.602781142 0.965592358

4.633534295 0.972043895

4.660087696 0.977614388

4.68255895 0.98232851

4.701222132 0.986243757

4.716450487 0.989438431

4.728668497 0.99200158

4.738314211 0.994025102

4.745811606 0.99559794

4.751552045 0.996802195

4.755883397 0.997710846

4.759105245 0.99838674

4.761468598 0.998882535

4.763178678 0.999241283

4.764399564 0.999497406

4.765259766 0.999677863

4.765858009 0.999803365

4.766268765 0.999889535

4.766547239 0.999947955

4.766733682 0.999987068

4.766795326 1
229.3397732
Appendix G-1(b): Summary of Statistical, Fuel, and Measurement Detection Level Variability for New Sources (Recom

UPL

99% Confidence 

Level

UPL

99.9% Confidence 

Level

Non-Continental Tie 7.8E-02 8.0E-02

Represents the variability selected as the MACT floor emission limit for the subcategory.

PM (lb/mmBtu)

Subcategory

Distribution (Normal, Lognormal 

or Tie)

(Lognormal or Ties default to 

lognormal distribution using 

Bhaumik and Gibbons approach for 

lognormal distributions. Normal 

distributions use proposed UPL 

approach.)

Statistical Variability
y for New Sources (Recommended Option)

Measurement Detection 

Level Variability

UPL

99.5% Confidence 

Level 3x RDL

Max Ratio (all data 

no outliers 

removed)

Max Ratio (all data 

outliers removed, 

fuel-specific)

7.9E-02 N/A

for the subcategory.

l Variability Fuel Variability
Max Ratio (all data 

outliers removed, 

unit-specific)

99% Combined 

Variance * Max 

Ratio (all data 

outliers removed, 

fuel-specific)

Fuel Variability
Appendix F-4c (i)(b): Non-Continental Liquid Fuel Filterable PM Run Data (Recommended Option)

Numeric 

Value of 

ND Data

ND Data < Avg 

of Best 

Performers

In top 

12%?

Fuel 

Category

Metals 

Process 

Heater? Rank FacilityID

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei

N/A N/A YES Liquid no 2 HIChevronKapolei


ommended Option)

UnitID Data Source Source Tab

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)

CSP No. 0088-01-C 7/15/2011 Data Submittal PM (filter)


Pollutant

Data 

Type

Run 

Number Test Date

Test 

Burning 

Waste?

NonDetect?

Test Run 

Emission 

Value

Particulate Matter (PM) filterable ET 1 12/14/2009 0.072134591

Particulate Matter (PM) filterable ET 2 12/14/2009 0.06514044

Particulate Matter (PM) filterable ET 3 12/15/2009 0.068337227

Particulate Matter (PM) filterable ET 4 12/15/2009 0.063203083

Particulate Matter (PM) filterable ET 5 12/15/2009 0.068691306

Particulate Matter (PM) filterable ET 6 12/15/2009 0.059662294


ln (Run Value)

If Test 

Run is 

ND, "1" Facility-Reported Fuel Oil Feed Rate (B/day Conversion (gal/barrel) Calculated Hourly Facility Fuel Feed (gal/hr) -Reported Heating Value (B

)

-2.629221582 0 12.17 lb/hr 637.2 42 1115.1 151298

-2.731209721 0 10.99 lb/hr 637.2 42 1115.1 151298

-2.683300615 0 11.58 lb/hr 640 42 1120 151298

-2.761402203 0 10.71 lb/hr 640 42 1120 151298

-2.678132645 0 11.64 lb/hr 640 42 1120 151298

-2.819055054 0 10.11 lb/hr 640 42 1120 151298


Calculated Test Heat Input (MMBtu/hr) Calculated Emission Rate (lb/MMBtu)

168.7124 0.072135

168.7124 0.06514

169.4538 0.068337

169.4538 0.063203

169.4538 0.068691

169.4538 0.059662
Appendix F-4c (ii)(b): Non-Continental Liquid Fuel 

In top 

12%?

Fuel 

Category

Combusto

r Design

YES Liquid N/A

Number of sources with 

test data 1

n 6 Step 4

n-1 5

Max ND 3x DL

0 0

Average of natural log of 

test run values (μ) -2.71705364

Variance of natural log 

of test runs (σ

2

) 0.004588012

m 3

Numerator for 

calculation of flatness of 

z distribution (β2z) 3.07389463

Denominator for 

calculation of flatness of 

z distribution (β2z) 6.34401E-05

Flatness of z distribution 

(β2z) 48455.52248

Skewness of z 

distribution (√β1z) 0.117634962
Go to tab distribution for 99 percentile, which reads in (β2z) and (√β1z)

normalization normalization normalization

>0.99 >0.999 >0.995

Smallest value in 

column A that is larger 

than normalization 0.990815075 0.999274582 0.99600542

z 3.484 4.292 3.787

The following are individual terms in Equation 19 in the memorandum

exp (μ + (σ/2)) 0.066220869

exp (2μ + σ2) 0.004385203

exp (σ

2

) - 1 0.004598553

(σ

2

/n) + [σ

4

/(2(n - 1))] 0.000766774

Square root term 0.009526746

Confidence Level 99% 99.9% 99.5%

UPL 7.73E-02 7.99E-02 7.82E-02

Analysis of Data Distribution Normal Log-normal

Skewness = -2.45E-01 -3.63E-01

SE Skewness 1.00 1.00

Skewness Test normal normal

Kurtosis = -5.05E-01 -4.22E-01

SE Kurtosis 2.00 2.00

Kurtosis Test normal normal

Number of test runs = 6 6
b): Non-Continental Liquid Fuel Filterable PM Test Averages and Calculation of UPL (Recommended Option)

Rank FacilityID UnitID Data Source

2 HIChevronKapolei CSP No. 0088-01-C 7/15/2011 Data Submittal

Source Tab Pollutant

NonDetect? Test Averageln (Test 

Average)

Number of 

test runs in 

average

Num test 

runs - 1

Data 

Type

PM (filter) Particulate Matter (PM) filterable 0.066194823 -2.715153016 6 5 ET

Fuel

Residual Oil
Appendix F-4c (iii)(b): Non-Continental Liquid Fuel Filterable PM Calculation of "z" Distribution for New Sources (Reco

∆z z

VLOOKUP 0.101 48455.52 0.117635

1.28189E-05 -5 =f(a) 965011.6

5.1283E-05 1 -4.899 878218

0.000108253 2 -4.798 797108.9

0.000191538 3 -4.697 721442.3

0.000311696 4 -4.596 650981.1

0.000482732 5 -4.495 585493.5

0.000722875 6 -4.394 524752.4

0.001055368 7 -4.293 468536.1

0.001509184 8 -4.192 416627.6

0.002119566 9 -4.091 368815.3

0.002928222 10 -3.99 324892.3

0.003982967 11 -3.889 284656.9

0.005336582 12 -3.788 247912.6

0.007044626 13 -3.687 214467.6

0.009161939 14 -3.586 184135.4

0.011737624 15 -3.485 156734.5

0.014808359 16 -3.384 132088.3

0.018390073 17 -3.283 110025.4

0.022468166 18 -3.182 90379.43

0.026986767 19 -3.081 72988.98

0.031837804 20 -2.98 57697.73

0.036850961 21 -2.879 44354.39

0.041785943 22 -2.778 32812.73

0.046328651 23 -2.677 22931.54

0.050092986 24 -2.576 14574.66

0.052629916 25 -2.475 7610.987

0.0534451 26 -2.374 1914.434

0.054864428 27 -2.273 -2636.03

0.059013452 28 -2.172 -6156.39

0.066325884 29 -2.071 -8757.6

0.077124628 30 -1.97 -10545.6

0.091570672 31 -1.869 -11621.1

0.109614941 32 -1.768 -12080.2

0.130958598 33 -1.667 -12013.4

0.155027486 34 -1.566 -11506.6

0.180966015 35 -1.465 -10640.5

0.20765462 36 -1.364 -9490.68

0.233753135 37 -1.263 -8127.78

0.25776992 38 -1.162 -6617.39

0.27815384 39 -1.061 -5020.01

0.29340329 40 -0.96 -3391.15

0.302183896 41 -0.859 -1781.24

0.303444609 42 -0.758 -235.695

0.310368235 43 -0.657 1205.132

0.325674516 44 -0.556 2505.922

0.349049239 45 -0.455 3636.396

 

1 3

 2

1 3

6 24

z z

z z

 

    

 

  

 

2z

1z

 

1 3

 2

1 3

6 24

z z

z z

 

    

 

  

 

2z

1z

 

1 3

 2

1 3

6 24

z z

z z

 

    

 

  

 

2z

1z

 

1 3

 2

1 3

6 24

z z

z z

 

    

 

  

 

2z

1z
0.379658993 46 -0.354 4571.32

0.416187145 47 -0.253 5290.502

0.456911118 48 -0.152 5778.79

0.499815334 49 -0.051 6026.076

0.542730379 50 0.05 6027.292

0.583486068 51 0.151 5782.415

0.620064592 52 0.252 5296.46

0.650739877 53 0.353 4579.488

0.67419084 54 0.454 3646.599

0.689579054 55 0.555 2517.937

0.696585145 56 0.656 1218.686

0.697767753 57 0.757 -220.926

0.706478873 58 0.858 -1765.63

0.721670793 59 0.959 -3375.12

0.742011376 60 1.06 -5004.03

0.76600008 61 1.161 -6601.98

0.792085699 62 1.262 -8113.52

0.818775518 63 1.363 -9478.18

0.844727489 64 1.464 -10630.4

0.868819611 65 1.565 -11499.7

0.890193557 66 1.666 -12010.4

0.908272384 67 1.767 -12081.9

0.922754633 68 1.868 -11628.5

0.93358894 69 1.969 -10559.5

0.940934445 70 2.07 -8779.01

0.945112707 71 2.171 -6186.32

0.946556594 72 2.272 -2675.55

0.947352275 73 2.373 1864.202

0.949874738 74 2.474 7548.881

0.953629309 75 2.575 14499.47

0.958166403 76 2.676 22841.98

0.963099241 77 2.777 32707.5

0.968112989 78 2.878 44232.12

0.972966633 79 2.979 57557

0.9774892 80 3.08 72828.33

0.981572045 81 3.181 90197.35

0.985158837 82 3.282 109820.3

0.988234622 83 3.383 131858.6

0.990815075 84 3.484 156478.5

0.992936717 85 3.585 183851.4

0.994648561 86 3.686 214153.9

0.99600542 87 3.787 247567.3

0.997062865 88 3.888 284278.2

0.997873719 89 3.989 324478.2

0.998485853 90 4.09 368363.9

0.998941038 91 4.191 416136.9

0.999274582 92 4.292 468004

0.999515519 93 4.393 524176.8

0.999687143 94 4.494 584872.2

0.999807729 95 4.595 650312

0.999891324 96 4.696 720723

0.999948512 97 4.797 796337.2

0.999987129 98 4.898 877391.5 1 99 4.999 964127.9

ibution for New Sources (Recommended Option)

distribution of Z

Normal 

distribution

1.48672E-06 1.434701552

2.45094E-06 2.152459401

3.9995E-06 3.188039233

6.46025E-06 4.660695254

1.03291E-05 6.724041588

1.63472E-05 9.571206688

2.56093E-05 13.43852137

3.97118E-05 18.60639527

6.09553E-05 25.39564224

9.26132E-05 34.15715818

0.000139285 45.25261496

0.000207351 59.02381534

0.000305546 75.74867816

0.000445674 95.58261732

0.000643469 118.4854526

0.000919619 144.1360108

0.001300942 171.8392278

0.001821704 200.4337212

0.002525035 228.2111918

0.003464389 252.8622089

0.004704958 271.4653536

0.006324913 280.5376494

0.008416337 276.1629847

0.011085658 254.2111977

0.014453386 210.6532387

0.018652949 141.9673418

0.023828414 45.61791584

0.030130931 -79.42598832

0.03771375 -232.1805459

0.046725789 -409.2057452

0.057303789 -604.3007592

0.069563239 -808.4046514

0.083588399 -1009.762334

0.099421884 -1194.396985

0.117054396 -1346.901736

0.136415346 -1451.527285

0.157365126 -1493.501836

0.179689839 -1460.480207

0.203099244 -1343.985987

0.227228529 -1140.689848

0.251644341 -853.3634843

0.275855243 -491.3651597

0.299326439 -70.54984321

0.321498297 387.4480434

0.341807853 856.5437904

0.359712192 1308.056041



  

2 4

3 2

336

24

z

z z

z z

    

 

 



 

1 3

( ) 1 3 

6 

z

G

f z z z 

 



    

( )z  



  

2 4

3 2

336

24

z

z z

z z

    

 

 



 

1 3

( ) 1 3 

6 

z

G

f z z z 

 



    

( )z  



  

2 4

3 2

336

24

z

z z

z z

    

 

 



 

1 3

( ) 1 3 

6 

z

G

f z z z 

 



    

( )z  



  

2 4

3 2

336

24

z

z z

z z

    

 

 



 

1 3

( ) 1 3 

6 

z

G

f z z z 

 



    

( )z  
0.37471238 1712.930381

0.386376486 2044.125591

0.394360216 2278.9249

0.398423793 2400.931943

0.398443914 2401.537881

0.394419966 2280.699763

0.386474058 2046.944432

0.374844865 1716.597519

0.359875719 1312.322457

0.34199778 861.1287687

0.32170943 392.0627738

0.299553264 -66.17911935

0.276092166 -487.4766959

0.25188591 -850.1440906

0.227469632 -1138.264682

0.203335281 -1342.414587

0.17991684 -1459.758566

0.157579839 -1493.569724

0.136615273 -1452.279526

0.117237788 -1348.201915

0.099587708 -1196.091986

0.083736272 -1011.696218

0.069693339 -810.4307008

0.05741676 -606.2908331

0.046822635 -411.056537

0.037795734 -233.81669

0.030199481 -80.8003015

0.023885038 44.52654269

0.018699163 141.1577501

0.014490659 210.1068173

0.011115369 253.8970614

0.008439746 276.0429751

0.006343145 280.5707547

0.004718997 271.6112945

0.003475077 253.0840786

0.002533081 228.477158

0.001827693 200.7178834

0.001305351 172.1217817

0.000922829 144.4028951

0.00064578 118.7276537

0.00044732 95.79528978

0.000306705 75.93021059

0.000208159 59.17493643

0.000139842 45.3756029

9.29928E-05 34.25518667

6.12113E-05 25.47227339

3.98826E-05 18.66521291

2.5722E-05 13.48288766

1.64209E-05 9.604119629

1.03767E-05 6.748069716

6.49066E-06 4.677967254

4.01874E-06 3.200269374

2.46298E-06 2.160993471

1.49417E-06 1.440571913

Absolute values

1.434701552 0.072452428

2.152459401 0.2173984

3.188039233 0.321991963

4.660695254 0.470730221

6.724041588 0.6791282

9.571206688 0.966691875

13.43852137 1.357290658

18.60639527 1.879245922

25.39564224 2.564959866

34.15715818 3.449872976

45.25261496 4.570514111

59.02381534 5.96140535

75.74867816 7.650616494

95.58261732 9.653844349

118.4854526 11.96703071

144.1360108 14.55773709

171.8392278 17.35576201

200.4337212 20.24380584

228.2111918 23.04933037

252.8622089 25.53908309

271.4653536 27.41800072

280.5376494 28.33430259

276.1629847 27.89246145

254.2111977 25.67533097

210.6532387 21.27597711

141.9673418 14.33870153

45.61791584 4.6074095

79.42598832 8.02202482

232.1805459 23.45023514

409.2057452 41.32978027

604.3007592 61.03437668

808.4046514 81.64886979

1009.762334 101.9859957

1194.396985 120.6340955

1346.901736 136.0370753

1451.527285 146.6042558

1493.501836 150.8436854

1460.480207 147.5085009

1343.985987 135.7425847

1140.689848 115.2096746

853.3634843 86.18971191

491.3651597 49.62788113

70.54984321 7.125534164

387.4480434 39.13225238

856.5437904 86.51092283

1308.056041 132.1136601



  

2 4

3

2

336

3 ( )

6 24

z

z z

z z z





   

  





  

2 4

3

2

336

3 ( )

6 24

z

z z

z z z





   

  





  

2 4

3

2

336

3 ( )

6 24

z

z z

z z z





   

  





  

2 4

3

2

336

3 ( )

6 24

z

z z

z z z





   

  



1

( ) 2 ( ) ( 

2

M

i

x

f a f x f b



  

   

 


1712.930381 173.0059685

2044.125591 206.4566847

2278.9249 230.1714149

2400.931943 242.4941263

2401.537881 242.555326

2280.699763 230.3506761

2046.944432 206.7413876

1716.597519 173.3763494

1312.322457 132.5445681

861.1287687 86.97400564

392.0627738 39.59834015

66.17911935 6.684091054

487.4766959 49.23514629

850.1440906 85.86455315

1138.264682 114.9647329

1342.414587 135.5838733

1459.758566 147.4356152

1493.569724 150.8505421

1452.279526 146.6802321

1348.201915 136.1683935

1196.091986 120.8052906

1011.696218 102.1813181

810.4307008 81.85350078

606.2908331 61.23537414

411.056537 41.51671024

233.81669 23.61548569

80.8003015 8.160830452

44.52654269 4.497180812

141.1577501 14.25693276

210.1068173 21.22078854

253.8970614 25.6436032

276.0429751 27.88034049

280.5707547 28.33764623

271.6112945 27.43274075

253.0840786 25.56149194

228.477158 23.07619296

200.7178834 20.27250622

172.1217817 17.38429995

144.4028951 14.5846924

118.7276537 11.99149302

95.79528978 9.675324268

75.93021059 7.668951269

59.17493643 5.976668579

45.3756029 4.582935893

34.25518667 3.459773854

25.47227339 2.572699612

18.66521291 1.885186504

13.48288766 1.361771653

9.604119629 0.970016083

6.748069716 0.681555041

4.677967254 0.472474693

3.200269374 0.323227207

2.160993471 0.218260341

1.440571913 0.072748882

Cumulative normalization

0.072452428 1.28189E-05

0.289850828 5.1283E-05

0.61184279 0.000108253

1.082573011 0.000191538

1.761701211 0.000311696

2.728393087 0.000482732

4.085683745 0.000722875

5.964929667 0.001055368

8.529889533 0.001509184

11.97976251 0.002119566

16.55027662 0.002928222

22.51168197 0.003982967

30.16229846 0.005336582

39.81614281 0.007044626

51.78317353 0.009161939

66.34091062 0.011737624

83.69667262 0.014808359

103.9404785 0.018390073

126.9898088 0.022468166

152.5288919 0.026986767

179.9468926 0.031837804

208.2811952 0.036850961

236.1736567 0.041785943

261.8489877 0.046328651

283.1249648 0.050092986

297.4636663 0.052629916

302.0710758 0.0534451

310.0931006 0.054864428

333.5433358 0.059013452

374.873116 0.066325884

435.9074927 0.077124628

517.5563625 0.091570672

619.5423582 0.109614941

740.1764537 0.130958598

876.213529 0.155027486

1022.817785 0.180966015

1173.66147 0.20765462

1321.169971 0.233753135

1456.912556 0.25776992

1572.122231 0.27815384

1658.311942 0.29340329

1707.939824 0.302183896

1715.065358 0.303444609

1754.19761 0.310368235

1840.708533 0.325674516

1972.822193 0.349049239

1

) 2 ( ) ( )

M

i

i

a f x f b





  



 
2145.828162 0.379658993

2352.284846 0.416187145

2582.456261 0.456911118

2824.950387 0.499815334

3067.505713 0.542730379

3297.856389 0.583486068

3504.597777 0.620064592

3677.974126 0.650739877

3810.518695 0.67419084

3897.4927 0.689579054

3937.09104 0.696585145

3943.775131 0.697767753

3993.010278 0.706478873

4078.874831 0.721670793

4193.839564 0.742011376

4329.423437 0.76600008

4476.859052 0.792085699

4627.709594 0.818775518

4774.389826 0.844727489

4910.55822 0.868819611

5031.36351 0.890193557

5133.544828 0.908272384

5215.398329 0.922754633

5276.633703 0.93358894

5318.150414 0.940934445

5341.765899 0.945112707

5349.92673 0.946556594

5354.423911 0.947352275

5368.680843 0.949874738

5389.901632 0.953629309

5415.545235 0.958166403

5443.425576 0.963099241

5471.763222 0.968112989

5499.195963 0.972966633

5524.757454 0.9774892

5547.833647 0.981572045

5568.106154 0.985158837

5585.490454 0.988234622

5600.075146 0.990815075

5612.066639 0.992936717

5621.741963 0.994648561

5629.410915 0.99600542

5635.387583 0.997062865

5639.970519 0.997873719

5643.430293 0.998485853

5646.002992 0.998941038

5647.888179 0.999274582

5649.249951 0.999515519

5650.219967 0.999687143

5650.901522 0.999807729

5651.373996 0.999891324

5651.697224 0.999948512

5651.915484 0.999987129

5651.988233 1
285400.1972
Chevron 2009 PM Test Results

Parameter Run 1 Run 2 Run3 Run4

Fuel Oil Feed Rate (B/day) 637.2 637.2 640 640

Conversion (gal/barrel) 42 42 42 42

Calculated Hourly Fuel Feed (gal/hr) 1,115 1,115 1,120 1,120

Heating Value (Btu/gal) 151,298 151,298 151,298 151,298

Calculated Test Heat Input (MMBtu/hr) 168.7 168.7 169.5 169.5

Test PM Emission Rate (lb/hr) 12.17 10.99 11.58 10.71

Calculated PM Emission Rate (lb/MMBtu) 0.072 0.065 0.068 0.063
Run 5 Run 6

640 640

42 42

1,120 1,120

151,298 151,298

169.5 169.5

11.64 10.11

0.069 0.060