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

 EE-RM/STD-01-350 COMMENT 164

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-i 
APPENDIX 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

 EE-RM/STD-01-350 COMMENT 164

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 of pressures. 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 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 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 

mO,],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.). 

1-1 
Table 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

 EE-RM/STD-01-350 COMMENT 164

T a bl e J . 1 C oe ffi· lClents Ii or W/CFM equation Ii or PSC motors 

ma mJ m2 mj m4 

~ 2-ton 0.39 -0.01 -0.11 0.22 0.03 .S 

ell 

= Q,> 3-ton 0.43 -0.15 0.09 0.02 0.06 

'1:j 

= 

= 4-ton 0.41 -0.16 0.14 -0.07 0.08 U I 

= Q 5-ton 0.44 -0.08 0.01 0.05 0.01 

Z 

~ 2-ton 0040 -0.19 0041 -0.50 0.31 

.$ 

ell 3-ton 0.45 -0.24 0.19 0.02 -0.04 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 of fitting 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 ---Catafit 

'" --- 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 (in.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 of Basic Furnace and Boiler Models. 

J-2 
0.6

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

 EE-RM/STD-01-350 COMMENT 164

0.6 I 

-" "'\. 

........ 0(,;>--( ?-o-o -'" 1 ~~~ - ,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-3 
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,

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 0. 24

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

 EE-RM/STD-01-350 COMMENT 164

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 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 

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 of Basic 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 o u a Iff ID2 urn aces WI ·th ECM mo t ors 

High Fire Low Fire 

rno I rnJ 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 U 0.15 0.24 0.09 0.25 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-4 
Figure 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

 EE-RM/STD-01-350 COMMENT 164

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/CFM vs. 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/CFM vs. Pressure Curves for N on-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

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

 EE-RM/STD-01-350 COMMENT 164

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-6 
REFERENCES

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>

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Speed Blower - Two-Stage Heat - Direct Vent/Non-Direct Vent). 2004, Lennox

Industries, Inc.

11. Lennox Industries Inc., Lennox Engineering Data: G60UHV (Up-Flow/Horizontal - Two

Stage Heat - Variable Speed Blower). 2003, Lennox Industries, Inc.

J-7

 EE-RM/STD-01-350 COMMENT 164

REFERENCES 

1. Lennox Industries Inc., Lennox Engineering Data: G40DF (Merit Series 

Upjlow/Horizontal Gas Furnace), 2003. Lennox Industries, Inc. 2003.) 

<http://pirl.lennox.comlC03e70141176EOZC21u1ehh_g40dC0307.pdf> 

2. Lennox Industries Inc., Lennox Engineering Data: G40UH (Merit Series 

Upjlow/Horizontal Gas Furnace), 2004. Lennox Industries, Inc. 

<http://pirl.lennox.comlC03e70141176EOZC21u/ehh_g40uh_0407.pdf> 

3. Lennox Industries Inc., Lennox Engineering Data: G41 UF (Merit Series Dowriflow Gas 

Furnace), 2004. Lennox Industries, Inc. 

<http://pirl.lennox.comlC03e70141176EOZC21u/ehh_g41uC0402.pdf> 

4. Lennox Industries Inc., Lennox Engineering Data: G43UF (Merit Series Upjlow Gas 

Furnace), 2004. Lennox Industries, Inc. 

<http://pirl.lennox.comlC03e70141176EOZC21u1ehh_g43uC0412.pdf> 

5. Lennox Industries Inc., Lennox Engineering Data: G50DF (Elite Series Downjlow Gas 

Furnace), 2003. Lennox Industries, Inc. 

<http://pirl.lennox.comlC03e70141176EOZC21u1ehh_g50dC0307.pdf> 

6. Lennox Industries Inc., Lennox Engineering Data: G50UH (Elite Series 

Upjlow/Horizontal Gas Furnace), 2003. Lennox Industries, Inc. 

<http://pirl.lennox.comlC03e70141176EOZC21u1ehh_g50uh_0307.pdf> 

7. Lennox Industries Inc., Lennox Engineering Data: G51MP (Elite Series Multi-Position 

Gas Furnace), 2004. Lennox Industries, Inc. 

<http://pirl.lennox.comlC03e70141176EOZC21u1ehh_g51mp_0412.pdf> 

8. Carrier Corporation, Carrier Product Data: 58CVA/CVX(Infinity 80 Series MultiPoise 

Furnace), 2004. Carrier Co. 

<http://www.xpedio.carrier.comlidc/groups/puhlic/documents/techlit/58cv-3pd.pdf> 

9. Carrier Co., Carrier Product Data: 58MVP (Infinity 96 Deluxe 4-Way Muitipoise 

Furnace), 2004. Carrier Co. 

<http://www.xpedio.carrier.comlidc/groups/puhlic/documents/techlit/58mvp-l1 pd. pdf> 

. 10. Lennox Industries Inc., Lennox Engineering Data: G61 MPV (Multi-Position - Variable 

Speed Blower - Two-Stage Heat - Direct VentlNon-Direct Vent). 2004, Lennox 

Industries, Inc. 

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Stage Heat - Variable Speed Blower). 2003, Lennox Industries, Inc. 

J-7 
12. Lennox Industries Inc., Lennox Engineering Data: G60DFV (Down flow - 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: XV 90, 2004. Trane Co.

 EE-RM/STD-01-350 COMMENT 164

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: XV 90, 2004. Trane Co. 

J-8