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For gas fueled heaters with modulating controls adjust the controls to operate the heater at the reduced fuel input rate. Set the thermostat control to the minimum setting. Start the heater by turning the safety control valve to the “on” position. If ambient test room temperature is above the lowest control set point temperature, initiate burner operation by placing the thermostat sensing element in a temperature control bath that is held at a temperature below the minimum set point temperature of the control.
2.4.2 Oil burner adjustments. Adjust the burners of oil fueled vented heaters to give the CO2 reading recommended by the manufacturer and an hourly Btu input, during the steady-state performance test described below, which is within ±2 percent of the heater manufacturer's specified normal hourly Btu input rating. On units employing a power burner do not allow smoke in the flue to exceed a No. 1 smoke during the steady-state performance test as measured by the procedure in ANSI Standard Z11.182–1965 (R1971) (ASTM D 2156–65 (1970)). If, on units employing a power burner, the smoke in the flue exceeds a No. 1 smoke during the steady-state test, readjust the burner to give a lower smoke reading, and, if necessary a lower CO2 reading, and start all tests over. Maintain the average draft over the fire and in the flue during the steady-state performance test at that recommended by the manufacturer within ±0.005 inches of water gauge. Do not make additional adjustments to the burner during the required series of performance tests. The instruments and measuring apparatus for this test are described in section 6.3 of ANSI standard Z91.1–1972.
2.5 Circulating air adjustments.
2.5.1 Forced air vented wall furnaces (including direct vent systems). During tests maintain the air flow through the heater as specified by the manufacturer and operate the vented heater with the outlet air temperature between 80 °F and 130 °F above room temperature. If adjustable air discharge registers are provided, adjust them so as to provide the maximum possible air restriction. Measure air discharge temperature as specified in section 2.14 of ANSI Z21.49–1975.
2.5.2 Fan type vented room heaters and floor furnaces. During tests on fan type furnaces and heaters, adjust the air flow through the heater as specified by the manufacturer. If adjustable air discharge registers are provided, adjust them to provide the maximum possible air restriction.
2.6 Location of temperature measuring instrumentation.
2.6.1 Gas fueled vented home heating equipment (including direct vent systems). For units employing an integral draft diverter, install nine thermocouples, wired in parallel, in a horizontal plane in the five foot test stack located one foot from the test stack inlet. Equalize the length of all thermocouple leads before paralleling. Locate one thermocouple in the center of the stack. Locate eight thermocouples along imaginary lines intersecting at right angles in this horizontal plane at points one third and two thirds of the distance between the center of the stack and the stack wall.
For units which employ a direct vent system, locate at least one thermocouple at the center of each flue way exiting the heat exchanger. Provide radiation shields if the thermocouples are exposed to burner radiation.
For units which employ a draft hood or units which employ a direct vent system which does not significantly preheat the incoming combustion air, install nine thermocouples, wired in parallel, in a horizontal plane located within 12 inches (304.8 mm) of the heater outlet and upstream of the draft hood on units so equipped. Locate one thermocouple in the center of the pipe and eight thermocouples along imaginary lines intersecting at right angles in this horizontal plane at points one third and two thirds of the distance between the center of the pipe and the pipe wall.
For units which employ direct vent systems that significantly preheat the incoming combustion air, install nine thermocouples, wired in parallel, in a plane parallel to and located within 6 inches (152.4 mm) of the vent/air intake terminal. Equalize the length of all thermocouple leads before paralleling. Locate one thermocouple in the center of the vent pipe and eight thermocouples along imaginary lines intersecting at right angles in this plane at points one third and two thirds of the distance between the center of the flue pipe and the pipe wall.
Use bead-type thermocouples having wire size not greater than No. 24 American Wire Gauge (AWG). If there is a possibility that the thermocouples could receive direct radiation from the fire, install radiation shields on the fire side of the thermocouples only and position the shields so that they do not touch the thermocouple junctions.
Install thermocouples for measuring conditioned warm air temperature as described in ANSI Z21.49–1975, section 2.14. Establish the temperature of the inlet air by means of single No. 24 AWG bead-type thermocouple, suitably shielded from direct radiation and located in the center of the plane of each inlet air opening.
2.6.2 Oil fueled vented home heating equipment (including direct vent systems). Install nine thermocouples, wired in parallel and having equal length leads, in a plane perpendicular to the axis of the flue pipe. Locate this plane at the position shown in Figure 34.4 of UL 730–1974, or Figures 35.1 and 35.2 of UL 729–1976 for a single thermocouple, except that on direct vent systems which significantly preheat the incoming combustion air, it shall be located within 6 inches (152.5 mm) of the outlet of the vent/air intake terminal. Locate one thermocouple in the center of the flue pipe and eight thermocouples along imaginary lines intersecting at right angles in this plane at points one third and two thirds of the distance between the center of the pipe and pipe wall.
Use bead-type thermocouples having a wire size not greater than No. 24 AWG. If there is a possibility that the thermocouples could receive direct radiation from the fire, install radiation shields on the fire side of the thermocouples only and position the shields so that they do not touch the thermocouple junctions.
Install thermocouples for measuring the conditioned warm air temperature as described in sections 35.12 through 35.17 of UL 730–1974. Establish the temperature of the inlet air by means of a single No. 24 AWG bead-type thermocouple, suitably shielded from direct radiation and located in the center of the plane of each inlet air opening.
2.7 Combustion measurement instrumentation. Analyze the samples of stack and flue gases for vented heaters to determine the concentration by volume of carbon dioxide present in the dry gas with instrumentation which will result in a reading having an accuracy of ±0.1 percentage points.
2.8 Energy flow instrumentation. Install one or more instruments, which measure the rate of gas flow or fuel oil supplied to the vented heater, and if appropriate, the electrical energy with an error no greater than one percent.
2.9 Room ambient temperature. During the time period required to perform all the testing and measurement procedures specified in section 3.0 of this appendix, maintain the room temperature within ±5 °F (±2.8C) of the value TRA measured during the steady-state performance test. At no time during these tests shall the room temperature exceed 100 °F (37.8C) or fall below 65 °F (18.3C).
Temperature (TRA) shall be the arithmetic average temperature of the test area, determined by measurement with four No. 24 AWG bead-type thermocouples with junctions shielded against radiation, located approximately at 90-degree positions on a circle circumscribing the heater or heater
enclosure under test, in a horizontal plane approximately at the vertical midpoint of the appliance or test enclosure, and with the junctions approximately 24 inches from sides of the heater or test enclosure and located so as not to be affected by other than room air. Locate a thermocouple at each elevation of draft relief inlet opening and combustion air inlet opening at a distance of approximately 24 inches from the inlet openings. The temperature of the air for combustion and the air for draft relief shall not differ more than ±5 °F from room temperature as measured above.
2.10 Equipment used to measure mass flow rate in flue and stack. The tracer gas chosen for this task should have a density which is less than or approximately equal to the density of air. Use a gas unreactive with the environment to be encountered. Using instrumentation of either the batch or continuous type, measure the concentration of tracer gas with an error no greater than 2 percent of the value of the concentration measured.
3.0 Testing and measurements.
3.1 Steady-state testing.
3.1.1 Gas fueled vented home heating equipment (including direct vent systems). Set up the vented heater as specified in sections 2.1, 2.2, and 2.3 of this appendix. The draft diverter shall be in the normal open condition and the stack shall not be insulated. (Insulation of the stack is no longer required for the vented heater test.) Begin the steady-state performance test by operating the burner and the circulating air blower, on units so equipped, with the adjustments specified by sections 2.4.1 and 2.5 of this appendix, until steady-state conditions are attained as indicated by a temperature variation of not more than 3 °F (1.7 C) in the stack gas temperature for vented heaters equipped with draft diverters or 5 °F (2.8 C) in the flue gas temperature for vented heaters equipped with either draft hoods or direct vent systems; in three successive readings taken 15 minutes apart.
On units employing draft diverters, measure the room temperature (TRA) as described in section 2.9 of this appendix and measure the steady-state stack gas temperature (TS,SS) using the nine thermocouples located in the 5 foot test stack as specified in section 2.6.1 of this appendix. Secure a sample of the stack gases in the plane where TS,SS is measured or within 3.5 feet downstream of this plane. Determine the concentration by volume of carbon dioxide (XCO2S) present in the dry stack gas. If the location of the gas sampling differs from the temperature measurement plane, there shall be no air leaks through the stack between these two locations.
On units employing draft hoods or direct vent systems, measure the room temperature (TRA) as described in section 2.9 of this appendix and measure the steady-state flue gas temperature (TF,SS), using the nine thermocouples located in the flue pipe as described in section 2.6.1 of this appendix. Secure a sample of the flue gas in the plane of temperature measurement and determine the concentration by volume of CO2 (XCO2F) present in dry flue gas. In addition, for units employing draft hoods, secure a sample of the stack gas in a horizontal plane in the five foot test stack located one foot from the test stack inlet; and determine the concentration by volume of CO2 (XCO2S) present in dry stack gas.
Determine the steady-state heat input rate (Qin) including pilot gas by multiplying the measured higher heating value of the test gas by the steady-state gas input rate corrected to standard conditions of 60 °F and 30 inches of mercury. Use measured values of gas temperature and pressure at the meter and the barometric pressure to correct the metered gas flow rate to standard conditions.
After the above test measurements have been completed on units employing draft diverters, secure a sample of the flue gases at the exit of the heat exchanger(s) and determine the concentration of CO2 (XCO2F) present. In obtaining this sample of flue gas, move the sampling probe around or use a sample probe with multiple sampling ports in order to assure that an average value is obtained for the CO2 concentration. For units with multiple heat exchanger outlets, measure the CO2 concentration in a sample from each outlet to obtain the average CO2 concentration for the unit. A manifold (parallel connected sampling tubes) may be used to obtain this sample.
For heaters with single stage thermostat control (wall mounted electric thermostats), determine the steady-state efficiency at the maximum fuel input rate as specified in section 2.4 of this appendix.
For gas fueled vented heaters equipped with either two stage thermostats or step-modulating thermostats, determine the steady-state efficiency at the maximum fuel input rate, as specified in section 2.4.1 of this appendix, and at the reduced fuel input rate, as specified in section 2.4.1 of this appendix.
For manually controlled gas fueled vented heaters, with various input rates determine the steady-state efficiency at a fuel input rate that is within ±5 percent of 50 percent of the maximum fuel input rate. If the heater is designed to use a control that precludes operation at other than maximum output (single firing rate) determine the steady state efficiency at the maximum input rate only.
3.1.2 Oil fueled vented home heating equipment (including direct vent systems). Set up and adjust the vented heater as specified in sections 2.1, 2.2, and 2.3.4 of this appendix. Begin the steady-state performance test by operating the burner and the circulating air blower, on units so equipped, with the adjustments specified by sections 2.4.2 and 2.5 of this appendix until steady-state conditions are attained as indicated by a temperature variation of not more than 5 °F (2.8 C) in the flue gas temperature in three successive readings taken 15 minutes apart.
Do not allow smoke in the flue, for units equipped with power burners, to exceed a No. 1 smoke during the steady-state performance test as measured by the procedure described in ANSI standard Z11.182–1965 (R1971) (ASTM D 2156–65 (1970)). Maintain the average draft over the fire and in the breeching during the steady-state performance test at that recommended by the manufacturer ±0.005 inches of water gauge.
Measure the room temperature (TRA) as described in section 2.9 of this appendix and measure the steady-state flue gas temperature (TF,SS) using nine thermocouples located in the flue pipe as described in section 2.6.2 of this appendix. Secure a sample of the flue gas in the plane of temperature measurement and determine the concentration by volume of CO2(XCO2F) present in dry flue gas. Measure and record the steady-state heat input rate (Qin).
For manually controlled oil fueled vented heaters, determine the steady-state efficiency at a fuel input rate that is within ±5 percent of 50 percent of the maximum fuel input rate.
3.1.3 Auxiliary Electric Power Measurement. Allow the auxiliary electrical system of a gas or oil vented heater to operate for at least five minutes before recording the maximum auxiliary electric power measurement from the wattmeter. Record the maximum electric power (PE) expressed in kilowatts. For vented heaters with modulating controls, the recorded (PE) shall be maximum measured electric power multiplied by the following factor (R). For two stage controls, R=1.3. For step modulating controls, R=1.4 when the ratio of minimum-to-maximum fuel input is greater than or equal to 0.7, R=1.7 when the ratio of minimum-to-maximum fuel input is less than 0.7 and greater than or equal to 0.5, and R=2.2 when the ratio of minimum-to-maximum fuel input is less than 0.5.
3.2 Jacket loss measurement. Conduct a jacket loss test for vented floor furnaces. Measure the jacket loss (Lj) in accordance with the ANSI standard Z21.48–1976 section 2.12.
3.3 Measurement of the off-cycle losses for vented heaters equipped with thermal stack dampers. Install the thermal stack damper according to the manufacturer's instructions. Unless specified otherwise, the thermal stack damper should be at the draft diverter exit collar. Attach a five foot length of bare stack to the outlet of the damper. Install thermocouples as specified in section 2.6.1 of this appendix.
For vented heaters equipped with single stage thermostats, measure the off-cycle losses at the maximum fuel input rate. For vented heaters equipped with two stage thermostats, measure the off-cycle losses at the maximum fuel input rate and at the reduced fuel input rate. For vented heaters equipped with step-modulating thermostats, measure the off-cycle losses at the reduced fuel input rate.
Let the vented heater heat up to a steady-state condition. Feed a tracer gas at a constant metered rate into the stack directly above and within one foot above the stack damper. Record tracer gas flow rate and temperature. Measure the tracer gas concentration in the stack at several locations in a horizontal plane through a cross section of the stack at a point sufficiently above the stack damper to ensure that the tracer gas is well mixed in the stack.
Continuously measure the tracer gas concentration and temperature during a 10 minute cool down period. Shut the burner off and immediately begin measuring tracer gas concentration in the stack, stack temperature, room temperature, and barometric pressure. Record these values as the midpoint of each one-minute interval between burner shut down and ten minutes after burner shut down. Meter response time and sampling delay time shall be considered in timing these measurements.
3.4 Measurement of the effectiveness of electro-mechanical stack dampers. For vented heaters equipped with electro-mechanical stack dampers, measure the cross sectional area of the stack (As), the net area of the damper plate (Ao), and the angle that the damper plate makes when closed with a plane perpendicular to the axis of the stack (O). The net area of the damper plate means the area of the damper plate minus the area of any holes through the damper plate.
3.5 Pilot light measurement.
3.5.1 Measure the energy input rate to the pilot light (QP) with an error no greater than 3 percent for vented heaters so equipped.
3.5.2 For manually controlled heaters where the pilot light is designed to be turned off by the user when the heater is not in use, that is, turning the control to the OFF position will shut off the gas supply to the burner(s) and to the pilot light, the measurement of QP is not needed. This provision applies only if an instruction to turn off the unit is provided on the heater near the gas control valve (e.g. by label) by the manufacturer.
3.6 Optional procedure for determining Dp' DF' and Ds for systems for all types of vented heaters. For all types of vented heaters, Dp' DF' and DS can be measured by the following optional cool down test.
Conduct a cool down test by letting the unit heat up until steady-state conditions are reached, as indicated by temperature variation of not more than 5 °F (2.8 °C) in the flue gas temperature in three successive readings taken 15 minutes apart, and then shutting the unit off with the stack or flue damper controls by-passed or adjusted so that the stack or flue damper remains open during the resulting cool down period. If a draft was maintained on oil fueled units in the flue pipe during the steady-state performance test described in section 3.1 of this appendix, maintain the same draft (within a range of -.001 to +.005 inches of water gauge of the average steady-state draft) during this cool down period.
Measure the flue gas mass flow rate (mF,OFF) during the cool down test described above at a specific off-period flue gas temperature and corrected to obtain its value at the steady-state flue gas temperature (TF,SS), using the procedure described below.
Within one minute after the unit is shut off to start the cool down test for determining DF, begin feeding a tracer gas into the combustion chamber at a constant flow rate of VT, and at a point which will allow for the best possible mixing with the air flowing through the chamber. (On units equipped with an oil fired power burner, the best location for injecting this tracer gas appears to be through a hole drilled in the air tube.) Periodically measure the value of VT with an instantaneously reading flow meter having an accuracy of ±3 percent of the quantity measured. Maintain VT at less than 1 percent of the air flow rate through the furnace. If a combustible tracer gas is used, there should be a delay period between the time the burner gas is shut off and the time the tracer gas is first injected to prevent ignition of the tracer gas.
Between 5 and 6 minutes after the unit is shut off to start the cool down test, measure at the exit of the heat exchanger the average flue gas temperature, T*F,Off. At the same instant the flue gas temperature is measured, also measure the percent volumetric concentration of tracer gas CT in the flue gas in the same plane where T*F,Off is determined. Obtain the concentration of tracer gas using an instrument which will result in an accuracy of ±2 percent in the value of CT measured. If use of a continuous reading type instrument results in a delay time between drawing of a sample and its analysis, this delay should be taken into account so that the temperature measurement and the measurement of tracer gas concentration coincide. In addition, determine the temperature of the tracer gas entering the flow meter (TT) and the barometric pressure (PB).
The rate of the flue gas mass flow through the vented heater and the factors DP, DF, and DS are calculated by the equations in sections 4.5.1 through 4.5.3 of this appendix.
4.0 Calculations.
4.1 Annual fuel utilization efficiency for gas or oil fueled vented home heating equipment equipped without manual controls and without thermal stack dampers. The following procedure determines the annual fuel utilization efficiency for gas or oil fueled vented home heating equipment equipped without manual controls and without thermal stack dampers.
4.1.1 System number. Obtain the system number from Table 1 of this appendix.
4.1.2 Off-cycle flue gas draft factor. Based on the system number, determine the off-cycle flue gas draft factor (DF) from Table 1 of this appendix.
4.1.3 Off-cycle stack gas draft factor. Based on the system number, determine the off-cycle stack gas draft factor (Ds) from Table 1 of this appendix.
4.1.4 Pilot fraction. Calculate the pilot fraction (PF) expressed as a decimal and defined as:
PF= QP/Qin
where:
QP= as defined in 3.5 of this appendix
Qin= as defined in 3.1 of this appendix at the maximum fuel input rate
4.1.5 Jacket loss for floor furnaces. Determine the jacket loss (Lj) expressed as a percent and measured in accordance with section 3.2 of this appendix. For other vented heaters Lj=0.0.
4.1.6 Latent heat loss. Based on the fuel, obtain the latent heat loss (LL,A) from Table 2 of this appendix.
4.1.7 Ratio of combustion air mass flow rate to stoichiometric air mass flow rate. Determine the ratio of combustion air mass flow rate to stoichiometric air mass flow rate (RT,F), and defined as:
RT,F=A+B/XCO2F
where:
A=as determined from Table 2 of this appendix
B=as determined from Table 2 of this appendix
XCO2F=as defined in 3.1 of this appendix
4.1.8 Ratio of combustion and relief air mass flow rate to stoichiometric air mass flow rate. For vented heaters equipped with either an integral draft diverter or a drafthood, determine the ratio of combustion and relief air mass flow rate to stoichiometric air mass flow rate (RT,S), and defined as:
RT,S=A+[B/XCO2S]
where:
A=as determined from Table 2 of this appendix
B=as determined from Table 2 of this appendix
XCO2S=as defined in 3.1 of this appendix
4.1.9 Sensible heat loss at steady-state operation. For vented heaters equipped with either an integral draft diverter or a draft hood, determine the sensible heat loss at steady-state operation (LS,SS,A) expressed as a percent and defined as:
where:
LS,SS,A=C(RT,S+D)(TS,SS-TRA)
C=as determined from Table 2 of this appendix
RT,S=as defined in 4.1.8 of this appendix
D=as determined from Table 2 of this appendix
TS,SS=as defined in 3.1 of this appendix
TRA=as defined in 2.9 of this appendix
For vented heaters equipped without an integral draft diverter, determine (LS,SS,A) expressed as a percent and defined as:
LS,SS,A=C(RT,F+D)(TF,SS-TRA)
where:
C=as determined from Table 2 of this appendix
RT,F=as defined in 4.1.7 of this appendix
D=as determined from Table 2 of this appendix
TF,SS=as defined in 3.1 of this appendix
TRA=as defined in 2.9 of this appendix
4.1.10 Steady-state efficiency. For vented heaters equipped with single stage thermostats, calculate the steady-state efficiency (excluding jacket loss, ?SS, expressed in percent and defined as:
?SS=100-LL,A-LS,SS,A
where:
LL,A=as defined in 4.1.6 of this appendix
LS,SS,A=as defined in 4.1.9 of this appendix
For vented heaters equipped with either two stage thermostats or with step-modulating thermostats, calculate the steady-state efficiency at the reduced fuel input rate, ?SS, L, expressed in percent and defined as:
?SS–L=100-LL,A-LS,SS,A
where:
LL,A=as defined in 4.1.6 of this appendix
LS,SS,A=as defined in 4.1.9 of this appendix in which LS,SS,A is determined at the reduced fuel input rate
For vented heaters equipped with two stage thermostats, calculate the steady-state efficiency at the maximum fuel input rate,
?SS–H, expressed in percent and defined as:
?SS–H=100-LL,A-LS,SS,A
where:
LL,A=as defined in 4.1.6 of this appendix
LS,SS,A=as defined in 4.1.9 of this appendix in which LS,SS,A is measured at the maximum fuel input rate
For vented heaters equipped with step-modulating thermostats, calculate the weighted-average steady-state efficiency in the modulating mode, ?SS–MOD, expressed in percent and defined as:
where:
?SS–H=as defined in 4.1.10 of this appendix
?SS–L=as defined in 4.1.10 of this appendix
TOA*=average outdoor temperature for vented heaters with step-modulating thermostats operating in the modulating mode and is obtained from Table 3 or Figure 1 of this appendix
TC=balance point temperature which represents a temperature used to apportion the annual heating load between the reduced input cycling mode and either the modulating mode or maximum input cycling mode and is obtained either from Table 3 of this appendix or calculated by the following equation:
TC=65-[(65-15)R]
where:
65=average outdoor temperature at which a vented heater starts operating
15=national average outdoor design temperature for vented heaters
R=ratio of reduced to maximum heat output rates, as defined in 4.1.13 of this appendix
4.1.11 Reduced heat output rate. For vented heaters equipped with either two stage thermostats or step-modulating thermostats, calculate the reduced heat output rate
(Qred-out) defined as:
Qred-out=?SS–L Qred-in
where:
?SS–L=as defined in 4.1.10 of this appendix
Qred-in=the reduced fuel input rate
4.1.12 Maximum heat output rate. For vented heaters equipped with either two stage thermostats or step-modulating thermostas, calculate the maximum heat output rate (Qmax-out) defined as:
Qmax,out=hSS,H Qmax,in
where:
?SS–H=as defined in 4.1.10 of this appendix
Qmax-in=the maximum fuel input rate
4.1.13 Ratio of reduced to maximum heat output rates. For vented heaters equipped with either two stage thermostats or step-modulating thermostats, calculate the ratio of reduced to maximum heat output rates (R) expressed as a decimal and defined as:
R=Qred-out/Qmax-out
where:
Qred-out=as defined in 4.1.11 of this appendix
Qmax-out=as defined in 4.1.12 of this appendix
4.1.14 Fraction of heating load at reduced operating mode. For vented heaters equipped with either two stage thermostats or step-modulating thermostats, determine the fraction of heating load at the reduced operating mode (X1) expressed as a decimal and listed in Table 3 of this appendix or obtained from Figure 2 of this appendix.
4.1.15 Fraction of heating load at maximum operating mode or noncycling mode. For vented heaters equFipped with either two stage thermostats or step-modulating therostats, determine the fraction of heating load at the maximum operating mode or noncycling mode (X2) expressed as a decimal and listed in Table 3 of this appendix or obtained from Figure 2 of this appendix.
4.1.16 Weighted-average steady-state efficiency. For vented heaters equipped with single stage thermostats, the weighted-average steady-state efficiency (?SS–WT) is equal to ?SS, as defined in section 4.1.10 of this appendix. For vented heaters equipped with two stage thermostats, ?SS–WT is defined as:
?SS–WT=X1?SS–L+X2?SS–H
where:
X1=as defined in 4.1.14 of this appendix
?SS–L=as defined in 4.1.10 of this appendix
X2=as defined in 4.1.15 of this appendix
?SS–H=as defined in 4.1.10 of this appendix
For vented heaters equipped with step-modulating thermostats, ?SS–WT is defined as:
?SS–WT=X1?SS–L+X2?SS–MOD
where:
X1=as defined in 4.1.14 of this appendix
?SS–L=as defined in 4.1.10 of this appendix
X2=as defined in 4.1.15 of this appendix
?SS–MOD=as defined in 4.1.10 of this appendix
4.1.17 Annual fuel utilization efficiency. Calculate the annual fuel utilization efficiency (AFUE) expressed as percent and defined as:
AFUE=[0.968?SS– WT]-1.78DF-1.89DS-129PF-2.8 LJ+1.81
where:
?SS–WT=as defined in 4.1.16 of this appendix
DF=as defined in 4.1.2 of this appendix
DS=as defined in 4.1.3 of this appendix
PF=as defined in 4.1.4 of this appendix
LJ=as defined in 4.1.5 of this appendix
4.2 Annual fuel utilization efficiency for gas or oil fueled vented home heating equipment equipped with manual controls. The following procedure determines the annual fuel utilization efficiency for gas or oil fueled vented home heating equipment equipped with manual controls.
4.2.1 Average ratio of stack gas mass flow rate to flue gas mass flow rate at steady-state operation. For vented heaters equipped with either direct vents or direct exhaust or are outdoor units, the average ratio of stack gas mass flow rate to flue gas mass flow rate at steady-state operation (S/F) shall be equal to unity. (S/F=1.) For all other types of vented heaters, calculate (S/F) defined as:
S/F=1.3RT,S/RT,F
where:
RT,S=as defined in 4.1.8 of this appendix with XCO2s measured at 50% fuel input rate
RT,F=as defined in 4.1.7 of this appendix with XCO2F measured at 50% fuel input rate
4.2.2 Multiplication factor for infiltration loss during burner on-cycle. Calculate the multiplication factor for infiltration loss during burner on-cycle (KI,ON) defined as:
KI,ON=100(0.24) (S/F) (0.7) [1+RT,F(A/F)]/HHVA
where:
100=converts a decimal fraction into a percent
0.24=specific heat of air
A/F=stoichiometric air/fuel ratio, determined in accordance with Table 2 of this appendix
S/F=as defined in 4.2.1 of this appendix at 50 percent of rated maximum fuel input
0.7=infiltration parameter
RT,F=as defined in 4.1.7 of this appendix
HHVA=average higher heating value of the test fuel, determined in accordance with Table 2 of this appendix
4.2.3 On-cycle infiltration heat loss. Calculate the on-cycle infiltration heat loss (LI,ON) expressed as a percent and defined as:
LI,ON=KI,ON (70–45)
where:
KI,ON=as defined in 4.2.2 of this appendix
70=average indoor temperature
45=average outdoor temperature
4.2.4 Weighted-average steady-state efficiency.
4.2.4.1 For manually controlled heaters with various input rates the weighted average steady-state efficiency (?SS-WT), is determined as follows:
(1) at 50 percent of the maximum fuel input rate as measured in either section 3.1.1 of this appendix for manually controlled gas vented heaters or section 3.1.2 of this appendix for manually controlled oil vented heaters, or
(2) at the minimum fuel input rate as measured in either section 3.1.1 to this appendix for manually controlled gas vented heaters or section 3.1.2 to this appendix for manually controlled oil vented heaters if the design of the heater is such that the ±5 percent of 50 percent of the maximum fuel input rate cannot be set, provided this minimum rate is no greater than 2/3 of maximum input rate of the heater.
4.2.4.2 For manually controlled heater with one single firing rate the weighted average steady-state efficiency is the steady-state efficiency measured at the single firing rate.
4.2.5 Part-load fuel utilization efficiency. Calculate the part-load fuel utilization efficiency (?u) expressed as a percent and defined as:
?u=?SS-WT-LI,ON
where:
?SS-WT=as defined in 4.2.4 of this appendix
LI,ON=as defined in 4.2.3 of this appendix
4.2.6 Annual Fuel Utilization Efficiency.
4.2.6.1 For manually controlled vented heaters, calculate the AFUE expressed as a percent and defined as:
where:
2,950=average number of heating degree days
?SS=as defined as ?SS-WT in 4.2.4 of this appendix
?u=as defined in 4.2.5 of this appendix
Qin-max=as defined as Qin at the maximum fuel input rate, as defined in 3.1 of this appendix
4,600=average number of non-heating season hours per year
QP=as defined in 3.5 of this appendix
2.083=(65–15)/24=50/24
65=degree day base temperature, °F
15=national average outdoor design temperature for vented heaters as defined in section 4.1.10 of this appendix
24=number of hours in a day
4.2.6.2 For manually controlled vented heaters where the pilot light can be turned off by the user when the heater is not in use as described in section 3.5.2, calculate the AFUE expressed as a percent and defined as:
AFUE=?u
where:
?u=as defined in section 4.2.5 of this appendix
4.3 Annual fuel utilization efficiency by the tracer gas method. The annual fuel utilization efficiency shall be determined by the following tracer gas method for all vented heaters equipped with thermal stack dampers. All other types of vented heaters can elect to use the following tracer gas method, as an optional procedure.
4.3.1 On-cycle sensible heat loss. For vented heaters equipped with single stage thermostats, calculate the on-cycle sensible heat loss (LS,ON) expressed as a percent and defined as:
LS,ON=LS,SS,A
where:
LS,SS,A=as defined in 4.1.9 of this appendix
For vented heaters equipped with two stage thermostats, calculate LS,ON defined as:
LS,ON=X1 LS,SS,A-red+X2 LS,SS,A-max
where:
X1=as defined in 4.1.14 of this appendix
LS,SS,A-red=as defined as LS,SS,A in 4.1.9 of this appendix at the reduced fuel input rate
X2=as defined in 4.1.15 of this appendix
LS,SS,A-max=as defined as LS,SS,A in 4.1.9 of this appendix at the maximum fuel input rate
For vented heaters with step-modulating thermostats, calculate LS,ON defined as:
LS,ON=X1 LS,SS,A-red+X2 LS,SS,A-avg
where:
X=1-as defined in 4.1.14 of this appendix
LLS,SS,A-red=as defined in 4.3.1 of this appendix
X2=as defined in 4.1.15 of this appendix
LS,SS,A-avg=average sensible heat loss for step-modulating vented heaters operating in the modulating mode
where:
LS,SS,A-avg=as defined in 4.3.1 of this appendix
TC=as defined in 4.1.10 of this appendix
TOA*=as defined in 4.1.10 of this appendix
15=as defined in 4.1.10 of this appendix
4.3.2 On-cycle infiltration heat loss. For vented heaters equipped with single stage thermostats, calculate the on-cycle infiltration heat loss (LI,ON) expressed as a percent and defined as:
LI,ON=KI,ON(70–45)
where:
KI,ON=as defined in 4.2.2 of this appendix
70=as defined in 4.2.3 of this appendix
45=as defined in 4.2.3 of this appendix
For vented heaters equipped with two stage thermostats, calculate LI,ON defined as:
LI,ON=X1KI,ON-Max(70–TOA*)+X2KI,ON,red(70–TOA)
where:
X1=as defined in 4.1.14 of this appendix
KI,ON-max=as defined as KI,ON in 4.2.2 of this appendix at the maximum heat input rate
70=as defined in 4.2.3 of this appendix
TOA*=as defined in 4.3.4 of this appendix
KI,ON,red=as defined as KI,ON in 4.2.2 of this appendix at the minimum heat input rate
TOA=as defined in 4.3.4 of this appendix
X2=as defined in 4.1.15 of this appendix
For vented heaters equipped with step-modulating thermostats, calculate LI,ON defined as:
LI,ON=X1 KI,ON-avg(70–TOA*)+X2 KI,ON-red(70–TOA)
where:
X1=as defined in 4.1.14 of this appendix
70=as defined in 4.2.3 of this appendix
TOA*=as defined in 4.3.4 of this appendix
X2=as defined in 4.1.15 of this appendix
TOA=as defined in 4.3.4 of this appendix
4.3.3 Off-cycle sensible heat loss. For vented heaters equipped with single stage thermostats, calculate the off-cycle sensible heat loss (LS,OFF) at the maximum fuel input rate. For vented heaters equipped with step-modulating thermostats, calculate LS,OFF defined as:
LS,OFF=X1 LS,OFF,red
where:
X1=as defined in 4.1.14 of this appendix
LS,OFF,red=as defined as LS,OFF in 4.3.3 of this appendix at the reduced fuel input rate
For vented heaters equipped with two stage thermostats, calculate LS,OFF defined as:
LS,OFF=X1 LS,OFF,red+X2 LS,OFF,Max
where:
X1=as defined in 4.1.14 of this appendix
LS,OFF,red=as defined as LS,OFF in 4.3.3 of this appendix at the reduced fuel input rate
X2=as defined in 4.1.15 of this appendix
LS,OFF,Max=as defined as LS,OFF in 4.3.3 of this appendix at the maximum fuel input rate
Calculate the off-cycle sensible heat loss (LS,OFF) expressed as a percent and defined as:
where:
100=conversion factor for percent
0.24=specific heat of air in Btu per pound-°F
Qin=fuel input rate, as defined in 3.1 of this appendix in Btu per minute (as appropriate for the firing rate)
ton=average burner on-time per cycle and is 20 minutes
S mS,OFF(TS,OFF-TRA)=summation of the twenty values of the quantity, mS,OFF(TS,OFF-TRA), measured in accordance with 3.3 of this appendix
mS,OFF=stack gas mass flow rate pounds per minute
TS,OFF=stack gas temperature measured in accordance with 3.3 of this appendix
TRA=average room temperature measured in accordance with 3.3 of this appendix
PB=barometric pressure in inches of mercury
VT=flow rate of the tracer gas through the stack in cubic feet per minute
CT*=concentration by volume of the active tracer gas in the mixture in percent and is 100 when the tracer gas is a single component gas
CT=concentration by volume of the active tracer gas in the diluted stack gas in percent
TT=temperature of the tracer gas entering the flow meter in degrees Fahrenheit
(TT+460)=absolute temperature of the tracer gas entering the flow meter in degrees Rankine
4.3.4 Average outdoor temperature. For vented heaters equipped with single stage thermostats, the average outdoor temperature (TOA) is 45 °F. For vented heaters equipped with either two stage thermostats or step-modulating thermostats, TOA during the reduced operating mode is obtained from Table 3 or Figure 1 of this appendix. For vented heaters equipped with two stage thermostats, TOA* during the maximum operating mode is obtained from Table 3 or Figure 1 of this appendix.
4.3.5 Off-cycle infiltration heat loss. For vented heaters equipped with single stage thermostats, calculate the off-cycle infiltration heat loss (LI,OFF) at the maximum fuel input rate. For vented heaters equipped with step-modulating thermostats, calculate LI,OFF defined as:
LI,OFF=X1 LI,OFF,red
where:
X1=as defined in 4.1.14 of this appendix
LI,OFF,red=as defined in LI,OFF in 4.3.3 of this appendix at the reduced fuel input rate
For vented heaters equipped with two stage thermostats, calculate LI,OFF defined as:
LI,OFF=X1 LI,OFF,red+ X2 LI,OFF,max
where:
X1=as defined in 4.1.14 of this appendix
LI,OFF,red=as defined as LI,OFF in 4.3.3 of this appendix at the reduced fuel input rate
X2=as defined in 4.1.15 of this appendix
LI,OFF,Max=as defined as LI,OFF in 4.3.3 of this appendix at the maximum fuel input rate
Calculate the off-cycle infiltration heat loss (LI,OFF) expressed as a percent and defined as:
where:
100=conversion factor for percent
0.24=specific heat of air in Btu per pound-°F
1.3=dimensionless factor for converting laboratory measured stack flow to typical field conditions
0.7=infiltration parameter
70=assumed average indoor air temperature, °F
TOA=average outdoor temperature as defined in 4.3.4 of this appendix
Qin=fuel input rate, as defined in 3.1 of this appendix in Btu per minute (as appropriate for the firing rate)
ton=average burner on-time per cycle and is 20 minutes
S mS,OFF=summation of the twenty values of the quantity, mS,OFF, measured in accordance with 3.3 of this appendix
mS,OFF=as defined in 4.3.3 of this appendix
4.3.6 Part-load fuel utilization efficiency. Calculate the part-load fuel utilization efficiency (?u ) expressed as a percent and defined as:
where:
Cj=2.8, adjustment factor
Lj=jacket loss as defined in 4.1.5
LL,A=as defined in 4.1.6 of this appendix
ton=as defined in 4.3.3 of this appendix
LS,ON=as defined in 4.3.1 of this appendix
LS,OFF=as defined in 4.3.3 of this appendix
LI,ON=as defined in 4.3.2 of this appendix
LI,OFF=as defined in 4.1.4 of this appendix
PF=as defined in 4.1.4 of this appendix
tOFF=average burner off-time per cycle and is 20 minutes
4.3.7 Annual Fuel Utilization Efficiency.
Calculate the AFUE expressed as a percent and defined as:
where:
2,950=average number of heating degree days
?SS-WT=as defined in 4.1.16 of this appendix
?u=as defined in 4.3.6 of this appendix
Qin-max=as defined in 4.2.6 of this appendix
4,600=as specified in 4.2.6 of this appendix
QP=as defined in 3.5 of this appendix
2.083=as specified in 4.2.6 of this appendix
4.4 Stack damper effectiveness for vented heaters equipped with electro-mechanical stack dampers. Determine the stack damper effectiveness for vented heaters equipped with electro-mechanical stack dampers (Do), defined as:
Do=1.62 [1—AD cos O/AS]
where:
AD=as defined in 3.4 of this appendix
O=as defined in 3.4 of this appendix
AS=as defined in 3.4 of this appendix
4.5 Addition requirements for vented home heating equipment using indoor air for combustion and draft control. For vented home heating equipment using indoor air for combustion and draft control, DF, as described in section 4.1.2 of this appendix, and DS, as described in section 4.1.3 of this appendix, shall be determined from Table 1 of this appendix.
4.5.1 Optional procedure for determining DP for vented home heating equipment. Calculate the ratio (DP) of the rate of flue gas mass through the vented heater during the off-period, MF,OFF(TF,SS), to the rate of flue gas mass flow during the on-period, MF,SS(TF,SS), and defined as:
DP=MF,OFF(TF,SS)/MF,SS(TF,SS)
For vented heaters in which no draft is maintained during the steady-state or cool down tests, MF,OFF(TF,SS) is defined as:
For oil fueled vented heaters in which an imposed draft is maintained, as described in section 3.6 of this appendix, MF,OFF(TF,SS) is defined as:
MF,OFF(TF,SS)=MF,OFF(T*F,SS)
where:
TF,SS=as defined in 3.1.1 of this appendix
T*F,OFF=flue gas temperature during the off-period measured in accordance with 3.6 of this appendix in degrees Fahrenheit
TRA=as defined in 2.9 of this appendix
pB=barometric pressure measured in accordance with 3.6 of this appendix in inches of mercury
VT=flow rate of tracer gas through the vented heater measured in accordance with 3.6 of this appendix in cubic feet per minute
CT=concentration by volume of tracer gas present in the flue gas sample measured in accordance with 3.6 of this appendix in percent
CT*=concentration by volume of the active tracer gas in the mixture in percent and is 100 when the tracer gas is a single component gas
TT=the temperature of the tracer gas entering the flow meter measured in accordance with 3.6 of this appendix in degrees Fahrenheit
(TT+460)=absolute temperature of the tracer gas entering the flow meter in degrees Rankine
MF,SS(TF,SS)=Qin[RT,F(A/F)+1]/[60HHVA]
Qin=as defined in 3.1 of this appendix
RT,F=as defined in 4.1.7 of this appendix
A/F=as defined in 4.2.2 of this appendix
HHVA=as defined in 4.2.2 of this appendix
4.5.2 Optional procedure for determining off-cycle draft factor for flue gas flow for vented heaters. For systems numbered 1 thru 10, calculate the off-cycle draft factor for flue gas flow (DF) defined as:
DF=DP
For systems numbered 11 or 12: DF=DP DO
where:
Dp=as defined in 4.5.1. of this appendix
DO=as defined in 4.4 of this appendix
4.5.3 Optional procedure for determining off-cycle draft factor for stack gas flow for vented heaters. Calculate the off-cycle draft factor for stack gas flow (DS) defined as:
For systems numbered 1 or 2: DS=1.0
For systems numbered 3 or 4: DS=(DP+0.79)/1.4
For systems numbered 5 or 6: DS=DO
For systems numbered 7 or 8 and if DO(S/F)<1:DS=DO DP
For systems numbered 7 or 8 and if DO(S/F)>1:
DS=DO DP+[0.85-DO DP] [DO(S/F)-1]/[S/F-1]
where:
DP=as defined in 4.5.1 of this appendix
DO=as defined in 4.4 of this appendix
4.6 Annual energy consumption.
4.6.1 National average number of burner operating hours. For vented heaters equipped with single stage controls or manual controls, the national average number of burner operating hours (BOH) is defined as:
BOHSS=1,416AFA DHR-1,416 B
where:
1,416=national average heating load hours for vented heaters based on 2,950 degree days and 15 °F outdoor design temperature
AF=0.7067, adjustment factor to adjust the calculated design heating requirement and heating load hours to the actual heating load experienced by the heating system
DHR=typical design heating requirements based on QOUT, from Table 4 of this appendix.
QOUT=[(?SS/100)-Cj (Lj/100)] Qin
Lj=jacket loss as defined in 4.1.5 of this appendix
Cj=2.8, adjustment factor as defined in 4.3.6 of this appendix
?SS=steady-state efficiency as defined in 4.1.10 of this appendix, percent
Qin=as defined in 3.1 of this appendix at the maximum fuel input rate
A=100,000/[341,300PE+(Qin-QP)?u]
B=2.938(QP) ?u A/100,000
100,000=factor that accounts for percent and kBtu
PE=as defined in 3.1.3 of this appendix
QP=as defined in 3.5 of this appendix
?u=as defined in 4.3.6 of this appendix for vented heaters using the tracer gas method, percent
=as defined in 4.2.5 of this appendix for manually controlled vented heaters, percent
=2,950 AFUE?SS Qin/[2,950 ?SS Qin—AFUE(2.083)(4,600)QP], for vented heaters equipped without manual controls and without thermal stack dampers and not using the optional tracer gas method, where:
AFUE=as defined in 4.1.17 of this appendix, percent
2,950=average number of heating degree days as defined in 4.2.6 of this appendix
4,600=average number of non-heating season hours per year as defined in 4.2.6 of this appendix
2.938=(4,160/1,416)=ratio of the average length of the heating season in hours to the average heating load hours
2.083=as specified in 4.2.6 of this appendix
4.6.1.1 For vented heaters equipped with two stage or step modulating controls the national average number of burner operating hours at the reduced operating mode is defined as:
BOHR=X1EM/Qred-in
where:
X1=as defined in 4.1.14 of this appendix
Qred-in=as defined in 4.1.11 of this appendix
EM=average annual energy used during the heating season
=(Qin-QP)BOHSS+(8,760-4,600)QP
Qin=as defined in 3.1 of this appendix at the maximum fuel input rate
QP=as defined in 3.5 of this appendix
BOHSS=as defined in 4.6.1 of this appendix, in which the term PE in the factor A is increased by the factor R, which is defined in 3.1.3 of this appendix as:
R=1.3 for two stage controls
=1.4 for step modulating controls when the ratio of minimum-to-maximum fuel input is greater than or equal to 0.7
=1.7 for step modulating controls when the ratio of minimum-to-maximum fuel input is less than 0.7 and greater than or equal to 0.5
=2.2 for step modulating controls when the ratio of minimum-to-maximum fuel input is less than 0.5
A=100,000/[341,300 PE R+(Qin-QP)?u]
8,760=total number of hours per year
4,600=as specified in 4.2.6 of this appendix
4.6.1.2 For vented heaters equipped with two stage or step modulating controls the national average number of burner operating hours at the maximum operating mode (BOHH) is defined as:
BOHH=X2EM/Qin
where:
X2=as defined in 4.1.15 of this appendix
EM=average annual energy used during the heating season
=(Qin-QP)BOHSS+(8,760-4,600)QP
Qin=as defined in 3.1 of this appendix at the maximum fuel input rate
4.6.2 Average annual fuel energy for gas or oil fueled vented heaters. For vented heaters equipped with single stage controls or manual controls, the average annual fuel energy consumption (EF) is expressed in Btu per year and defined as:
EF=BOHSS (Qin-QP)+8,760 QP
where:
BOHSS=as defined in 4.6.1 of this appendix
Qin=as defined in 3.1 of this appendix
QP=as defined in 3.5 of this appendix
8,760=as specified in 4.6.1 of this appendix
4.6.2.1 For vented heaters equipped with either two stage or step modulating controls EF is defined as:
EF=EM+4,600QP
where:
EM=as defined in 4.6.1.2 of this appendix
4,600=as specified 4.2.6 of this appendix
QP=as defined in 3.5 of this appendix
4.6.3 Average annual auxiliary electrical energy consumption for vented heaters. For vented heaters with single stage controls or manual controls the average annual auxiliary electrical consumption (EAE) is expressed in kilowatt-hours and defined as:
EAE=BOHSSPE
where:
BOHSS=as defined in 4.6.1 of this appendix
PE=as defined in 3.1.3 of this appendix
4.6.3.1 For vented heaters equipped with two stage or modulating controls EAE is defined as:
EAE=(BOHR+BOHH)PE
where:
BOHR=as defined in 4.6.1 of this appendix (continued)