APPENDIX J. FURNACE FAN POWER CURVES TABLE OF CONTENTS J.1 Fan Power ........................................................... J-1 LIST OF TABLES Table J.1 Coefficients for W/CFM equation for PSC motors ...................... J-2 Table J.2 Coefficients for W/ CFM equation for Two- Stage and Continuous Modulating

furnaces with ECM motors ........................................ J-4

LIST OF FIGURES Figure J.1 Example Fit of Watts/CFM for 3-ton Condensing Single-Stage Furnace ..... J-2 Figure J.2 Watts/CFM vs. Pressure Curves for Non-Condensing Single-Stage

Virtual Model Furnaces ........................................... J-3 Figure J.3 Watts/CFM vs. Pressure Curves for Condensing Single-Stage

Virtual Model Furnaces ........................................... J-3 Figure J.4 Watts/CFM vs. Pressure Curves for Non-Condensing Two-Stage

Virtual Model Furnaces - High Fire ................................. J-5 Figure J.5 Watts/CFM vs. Pressure Curves for Non-Condensing Two-Stage

Virtual Model Furnaces - Low Fire .................................. J-5 Figure J.6 Watts/CFM vs. Pressure Curves for Condensing Two-Stage

Virtual Model Furnaces - High Fire ................................. J-6 Figure J.7 Watts/CFM vs. Pressure Curves for Condensing Two-Stage

Virtual Model Furnaces - Low Fire .................................. J-6 APPENDIX 

### J. FURNACE FAN POWER CURVES TABLE OF CONTENTS 1.1 Fan Power ........................................................... J-l Table J.l Table J.2 Figure J.l Figure J.2 Figure J.3 Figure J.4 Figure J.5 Figure 1.6 Figure J.7 LIST OF TABLES Coefficients for W/CFM equation for PSC motors ...................... J-2 Coefficients for W/CFM equation for Two-Stage and Continuous Modulating furnaces with ECM motors ........................................ J-4 LIST OF FIGURES Example Fit ofWatts/CFM for 3-ton Condensing Single-Stage Furnace ..... J-2 Watts/CFM vs. Pressure Curves for Non-Condensing Single-Stage Virtual Model Furnaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. J-3 Watts/CFM vs. Pressure Curves for Condensing Single-Stage Virtual Model Furnaces ........................................... J-3 Watts/CFM vs. Pressure Curves for Non-Condensing Two-Stage Virtual Model Furnaces - High Fire ................................. J-5 Watts/CFM vs. Pressure Curves for Non-Condensing Two-Stage Virtual Model Furnaces - Low Fire . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. J-5 Watts/CFM vs. Pressure Curves for Condensing Two-Stage Virtual Model Furnaces - High Fire ................................. J-6 Watts/CFM vs. Pressure Curves for Condensing Two-Stage Virtual Model Furnaces - Low Fire .................................. J-6

J-iAPPENDIX J. FURNACE FAN POWER CURVES

J.1 Fan Power Once the operating point of air flow and static pressure is determined by finding the intersection of the fan curve and the system curve, the watts per cubic feet per minute (CFM) of airflow are determined using the equations developed in this appendix. The power consumption of the fan at this operating condition, BE, is calculated by multiplying the Watts/CFM by the CFM at the operating point: 

## BE = Watts Q CFM x Eq. 1 where, BE = circulating air fan electrical energy consumption (watts), Watts/CFM = determined by Equation 2 or Equation 3 in section J. 1, and Q = airflow (cfm). For furnaces with air handlers with permanent split capactiro (PSC) blower motors, one manufacturer reports watts across a range of pressures.', 2, 3, 4, 5, 6, 7 For these models, the Department divided watts at these pressures by air flow in CFM at these same pressures. These values of watts per CFM across a range of pressures were fit to a fourth order polynomial for the basic furnace models made by the manufacturer. The Department did this separately for each of the four nominal air handlers sizes for both non-condensing and condensing furnaces. The watts per CFM for PSC blower motors is given by the following equation: 

### Watts CFM= mo+ mlx(P)+m2x (P2)+m3x(P3)+ m4x(P4) Eq.2 where, Watts/CFM = blower electricity consumption in watts reported by manufacturer divided by the airflow in CFM at the same static pressure, mo, 1,2,3, and4 = coefficients derived from 4`i' degree polynomial approximation (see Table

J. 1 for actual coefficient values), and P = external static pressure (in. w.g.).

J-1 APPENDIX J. FURNACE FAN POWER CURVES 

### J.l Fan Power Once the operating point of air flow and static pressure is determined by finding the intersection of the fan curve and the system curve, the watts per cubic feet per minute (CFM) of airflow are determined using the equations developed in this appendix. The power consumption of the fan at this operating condition, BE, is calculated by multiplying the Watts/CFM by the CFM at the operating point:
where, BE Watts/CFM 

### Q circulating air fan electrical energy consumption (watts), determined by Equation 2 or Equation 3 in section 1.1, and airflow (cfm). 

### Eq.l

For furnaces with air handlers with permanent split capactiro (PSC) blower motors, one manufacturer reports watts across a range ofpressures. 1, 2, 3, 4, 5, 6, 7 For these models, the Department divided watts at these pressures by air flow in CFM at these same pressures. These values ofwatts per CFM across a range of pressures were fit to a fourth order polynomial for the basic furnace models made by the manufacturer. The Department did this separately for each ofthe four nominal air handlers sizes for both non-condensing and condensing furnaces. The watts per CFM for PSC blower motors is given by the following equation:

where, Watts/CFM 

### m O ,],2,3,and4 p blower electricity consumption in watts reported by manufacturer divided by the airflow in CFM at the same static pressure, coefficients derived from 4th degree polynomial approximation (see Table 1.1 for actual coefficient values), and external static pressure (in. w.g.).

1-1Table J.1 Coefficients for W/CFM equation for PSC motors MO m1 m2 mj m4 2-ton 0.39 -0.01 -0.11 0.22 0.03 3-ton 0.43 -0.15 0.09 0.02 0 06 . 4-ton 0.41 -0.16 0.14 -0.07 0.08 5-ton 0.44 -0.08 0.01 0.05 0.01 2-ton 0.40 -0.19 0.41 -0.50 0.31 3-ton 0.45 -0.24 0.19 0.02 -0.04 4-ton 0.41 -0.12 -0.10 0.20 -0.02 5-ton 0.47 -0.19 0.30 -0.32 0.17 Figure J.1 shows the Watts per CFM curve for 3-ton condensing single-stage furnace fitted to the manufacturers' data. A similar process of fitting curves to data was done for each nominal air handler size for both non-condensing and condensing furnaces.

• w XL y O p ^ ^ m A q

0 0.1 0.2 0.3 0.4 0.5 0.6 Pressure ( in.w.g.) 0.7 0.8 0.9 1 G51 MP-36B-045 " t G43UF-36B-070 ' m G51MP -36B-070.` x G43UF-36C-090-' x G43UF-36C-09OH " • G51MP-36C-090-" data fit

Figure J.1 Example Fit of Watts/CFM for 3-ton Condensing Single-Stage

Furnace Figures J.2 and J.3 show the fit curves of Watts/CFM for pressures from 0 in.w.g. to 1.0 in.w.g. Data from the models that were used to develop these fan curves is shown in Appendix H, Determination of Basic Furnace and Boiler Models. J-2 

### a e 

# . T bl J 

### 1 

### oe lClents C ffi· Ii 

### W/CFM or equation Ii 

### PSC or motors ma m J m2 mj m4**~** 2-ton 0.39 -0.01 -0.11 0.22 0.03 

### .S ell 

## = 3-ton 0.43 -0.15 0 .09 0.02 0.06 Q,> '1:j 

## = 

## = 4-ton 0.41 -0.16 0.14 -0 .07 0.08 U I 

## = 5-ton 0.44 -0 .08 0.01 0.05 0.01 Q Z**~** 2-ton 0040 -0 . 19 0041 -0 .50 0.31 .$ 3-ton 0.45 -0.24 0 . 19 0 .02 -0.04 ell 

## = Q,> '1:j 4-ton 0041 -0.12 -0.10 0.20 -0.02 

## = Q U 5-ton 0.47 -0 . 19 0.30 -0 .32 0.17 Figure 1.1 shows the Watts per CFM curve for 3-ton condensing single-stage furnace fitted to the manufacturers' data. A similar process offitting curves to data was done for each nominal air handler size for both non-condensing and condensing furnaces.

0.6 0.5 G51 MP_36B..045· O • • G43UF·36B · 070·"**~** .:. III t • G51MP·368·010·'· 0.4 • II 

# : . 

# - ""---, 1 I l**.** 

# ..**~** G43UF· 36C·090·" Ii i G43UF·36C-(J90H-" 

## " • III ::E 

## • 

## • • u. .. G51Mp·36C.090-··**~** 0,3 ---C atafit 

### '" -- - 3: 0.2

0,1

0 0 0,1 0.2 0,3 0.4 0.5 0.6 0 ,7 0.8 0.9 Pressure (i n .w .g .) 

### Figure J.1 Example Fit of Watts/CFM for 3-ton Condensing Single-Stage Furnace Figures 1.2 and 1.3 show the fit curves ofWatts/CFM for pressures from 0 in.w.g. to 1.0 in.w .g . Data from the models that were used to develop these fan curves is shown in Appendix H, Determination ofBasic Furnace and Boiler Models. J-20.6

0.4

0.2 4

0.04- 0.00 -0-2000 CFM

11600 CFM -x-1200 CFM 1800 CFM

0.25 0.50 0.75 External Static Pressure ( in. w.g.) 1.00 Figure J.2 Watts/CFM vs. Pressure Curves for Non-Condensing

Single-Stage Virtual Model Furnaces

Figure J.3 Watts/CFM vs. Pressure Curves for Condensing Single-Stage

Virtual Model Furnaces J-3 0.6 I

-" "'\. 0(,;>--( 

# 1

# ~~~ ........ ?-o-o -'" 

# - ,7 . 

# -..........- - 0.4

-<>-2000 CFM 0.2 ._-- -- ...._---- ---

0.0

0.00 

### Figure J.2 0.6**~1600CFM ~1200CFM** **~800CFM**
0.25 0 .50 0 .75 1 .00 External Static Pressure (in. w.g.) 

### Watts/CFM vs. Pressure Curves for Non-Condensing Sin le-Sta e Virtual Model Furnaces

# ~ ..0-(. >-n-.**~ ~**  r- 

# .. 0.4 .1' . I**.L"** 

# .. -<>-2000 CFM**~1600CFM** 0.2 I---**~1200CFM**

0 .0

0 .00 

### Figure J.3**~800CFM**

0.25 0.50 0 .75 1.00 External Static Pressure (In. w.g.) 

### Watts/CFM vs. Pressure Curves for Condensing Single-Stage Virtual Model Furnaces J-3For the two-stage and continuous modulating furnaces with ECM motors, the Department

calculated watts per CFM equations using data from basic models of several manufacturers.8°9, 10, 11, 12, 13, 14 These data are in the reduced set of furnace models database. This was done for basic model furnaces nominally designed for use with 3 ton and 5 ton air conditioners . The watts per CFM data points of these basic models were fit to straight lines using Equation 3. This was done separately for high fire and low fire for both non
- condensing and condensing models . To be consistent with other analyses, the Department calculated the slope and intercept for the watts per CFM curves for furnaces intended to operate with 2 ton and 4 ton air conditioners by interpolating from the values for 3 ton and 5 ton air handlers. Figures J.4-J.7 show the lines for the basic models . Table J.2 shows the coefficients for two-stage and continuous modulating furnaces with ECM motors using Eq. 3. Data from the models used to develop these fan curves is shown in Appendix H, Determination of Basic Furnace and Boiler Models. 

### Watts CFM = mo + ml x (P) Eq. 3 where, Watts/CFM = blower electricity consumption in watts reported by manufacturer divided by the airflow in CFM at the same static pressure, mo,1 = coefficients derived from linear approximation (see Table J.2 for

actual coefficient values), and P = external static pressure (in. w.g.). Table J.2 Coefficients for W/CFM equation for Two-Stage and Continuous

Modulating furnaces with ECM motors

High Fire Low Fire ma m, MO m, 2-ton 0.13 0.24 0.06 I 0.25 3-ton 0.14 0.24 0.08 0.25 4-ton 0.15 0.24 0.09 0.25 5-ton 0.16 0.24 0.11 0.24 2-ton 0.12 0.23 0.10 24 0 . 3-ton 0.14 0.24 0.10 0.25 4-ton 0.17 0.25 0.11 0.26 5-ton 0.20 0.26 0.11 0.27

J-4 For the two-stage and continuous modulating furnaces with ECM motors, the Department calculated watts per CFM equations using data from basic models of several manufacturers. 8, 9, 10, II , 12, 13, 14 These data are in the reduced set of furnace models database. This was done for basic model furnaces nominally designed for use with 3 ton and 5 ton air conditioners. The watts per CFM data points ofthese basic models were fit to straight lines using Equation 3. This was done separately for high fire and low fire for both non-condensing and condensing models. To be consistent with other analyses, the Department calculated the slope and intercept for the watts per CFM curves for furnaces intended to operate with 2 ton and 4 ton air conditioners by interpolating from the values for 3 ton and 5 ton air handlers. Figures 1.4-J.7 show the lines for the basic models. Table J.2 shows the coefficients for two-stage and continuous modulating furnaces with ECM motors using Eq. 3. Data from the models used to develop these fan curves is shown in Appendix H, Determination ofBasic Furnace and Boiler Models. 

### Watts CFM 

## = mo 

### + m, x 

### (P) Eq.3 where, 

### Watts/CFM blower electricity consumption in watts reported by manufacturer divided by the airflow in CFM at the same static pressure, coefficients derived from linear approximation (see Table 1.2 for actual coefficient values), and p external static pressure (in. w .g.) . 

### Table J.2 Coefficients for W/CFM equation for Two-Stage and Continuous M d Iff 

### ·th ECM t o u a ID2 

### urnaces WI 

### mo ors High Fire Low Fire rno 

# I rn J rno rn J O!I 2-ton 0.13 0 .24 0.06 .-- 

# I 0.25 .5 

### '" 

# = Q,I 3-ton 0.14 0 .24 0 .08 0 .25 '= 

# =**~** 4-ton 

# I 0.15 0.24 0.09 0.25 U I 

# = 5-ton 0.16 0.24 0.11 0.24**~** Z O!I 2-ton 0.12 0 .23 0 . 10 0 .24 

# = 

# ... 3-ton 0 . 14 0.24 0.10 0.25 

### '" 

# = Q,I '= 4-ton 0.17 0 .25 0.11 0.26 

# =**~** U 5-ton 0.20 0.26 0 . 11 

# I 0.27

J-4Figure J.4 0.25 0.50 0.75 External Static Pressure (in. w.g.) 1.00 Watts/CFM vs. Pressure Curves for Non-Condensing Two-Stage Virtual Model Furnaces - High Fire

Figure J.5 Watts/CFM vs. Pressure Curves for Non-Condensing Two-Stage

Virtual Model Furnaces - Low Fire
J-5 0.6

# c~dOl I**~1600CFM ~1200CFM** 

___800 CFM

-**L~ ~._~~**  __**.~._ ~_~_** **~**___ i

# ~L:~' 0.4**"' ~~**  r- ...c:

-**~**

,---- .. 1": 0.2**~ ~** 

### P-" 0.0

0.00 

### FigureJ.4 0.25 0.50 0.75 1.00 External Static Pressure (in. w.g.) 

### Watts/CFMvs. Pressure Curves for Non-Condensing Two-Stage Virtual Model Furnaces - Hi h Fire**0.6.------------,----------~------------.-----------~ ~2000CFM** **~1600CFM ~1200CFM** 

___800 CFM**0.4+------------r----------~------------+_----------~**

0.2 +-------**O.O+------------r----------~------------+_----------~**

0.00 

### FigureJ.5 0.25 0.50 0.75 1.00 External Static Pressure (in. w.g.) 

### Watts/CFMvs. Pressure Curves for Non-Condensing Two-Stage Virtual Model Furnaces - Low Fire
J-5Figure J.6 Watts/CFM vs. Pressure Curves for Condensing Two-Stage Virtual Model Furnaces - High Fire

2 LL U U) 0.6 -0-2000 CFM

- 0- 1600 CFM -41200 CFM -800 CFM 0.4

0.2

0.0 -1- 0.00 Ii

0.25 0.50 0.75 External Static Pressure ( in. w.g.) i

1.00 Figure J.7 Watts/CFM vs. Pressure Curves for Condensing Two-Stage

Virtual Model Furnaces - Low Fire J-6 0.6**~2000CFM**

...... 1600CFM**~1200CFM**

....SOOCFM

--- ----- 0.4 :E II..**~** III ==

### ~ 0.2

0.0 +-------+--------+-------!-------.1

0.00 

### Figure J.6
0.6

0.4

0.2 0.25 0.50 0.75 1.00 External Static Pressure (in. w.g.) 

### Watts/CFM vs. Pressure Curves for Condensing Two-Stage Virtual Model Furnaces - High Fire I -0-2000 CFM

### ~

...... 1600CFM**~1200CFM**

....SOOCFM
y r.

## ~.c.~!

-- I**~** r""

# ~ ...: 

### """" -- "

0.0

0.00 

### Figure J.7 0.25 0.50 0.75 1.00 External Static Pressure (in. w.g.) 

### Watts/CFM vs. Pressure Curves for Condensing Two-Stage Virtual Model Furnaces - Low Fire J-6REFERENCES

1. Lennox Industries Inc., Lennox Engineering Data: G40DF ( Merit Series Upflow/ Horizontal Gas Furnace ), 2003 . Lennox Industries , Inc. 2003.) <http ://pirl.lennox . com/C03e7ol4l/76EOZC21u/ehb_g40df 0307.pdf> 2. Lennox Industries Inc., Lennox Engineering Data: G40UH ( Merit Series Upflow/ Horizontal Gas Furnace ), 2004 . Lennox Industries, Inc. <http ://pirl.lennox . com/C03e7ol4l/76EOZC2 lu/ehb_g40uh

- 0407.pdf> 3. Lennox Industries Inc., Lennox Engineering Data: G41 UF (Merit Series Downflow Gas Furnace), 2004. Lennox Industries, Inc. <http://pirl.lennox.com/C03e7ol4l/76EOZC21u/ehb-94luf 0402.pdf> 4. Lennox Industries Inc., Lennox Engineering Data: G43 OF (Merit Series Upflow Gas Furnace), 2004. Lennox Industries, Inc. <http://pirl.lennox .com/C03e7ol4l/76EOZC21u/ehb_g43uf 0412.pdf> 5. Lennox Industries Inc., Lennox Engineering Data: G50DF (Elite Series Downflow Gas Furnace), 2003. Lennox Industries, Inc. <http://pirl.lennox .com/C03e7ol4l/76EOZC21u/ehb_g5Odf 0307.pdf> 6. Lennox Industries Inc., Lennox Engineering Data: G50UH ( Elite Series Upflow/ Horizontal Gas Furnace ), 2003 . Lennox Industries, Inc. <http ://pirl.lennox . com/C03e7ol4l/76EOZC2 l u/ehb

_g5 0uh

_03 07.pdf> 7. Lennox Industries Inc., Lennox Engineering Data: G51 MP ( Elite Series Multi -Position Gas Furnace

), 2004 . Lennox Industries, Inc. <http ://pirl.lennox . com/C03e7o141/76EOZC2lu/ehb

_g5lmp

_0412.pdf> 8. Carrier Corporation , Carrier Product Data: 58CVA/CVX(Infinity 80 Series MultiPoise Furnace ), 2004 . Carrier Co. <http ://www.xpedio . carrier. com/idc/groups/public/documents/techlit/5 8cv- 3pd.pdf> 9. Carrier Co., Carrier Product Data: 58MVP (Infinity 96 Deluxe 4-Way Multipoise Furnace), 2004. Carrier Co. <http://www.xpedio.carrier.com/idc/groups/public/documents/techlit/58mvp-11pd.pdf> 10. Lennox Industries Inc., Lennox Engineering Data: G61 WV ( Multi-Position - Variable Speed Blower - Two-Stage Heat - Direct Vent / Non-Direct Vent

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### 12. Lennox Industries Inc., Lennox Engineering Data: G60DFV (Down-jlow - Variable Speed Blower - Two-Stage Heat). 

### 2004, Lennox Industries, Inc. 13. Trane Co., Trane Product Data: XV 80,2004. 

### Trane Co. 14. Trane Co., Trane Product Data: XV90, 

### 2004. Trane Co.

J-8