Equivalent COP calculation (How to specify a DX coil in EnergyPlus so a desired COP results) | | |
EnergyPlus calculates DX coil energy by using a COP value that is defined differently than that used by manufacturers of packaged air | | | |
conditioning equipment. | | | | | | | |
For all equipment, the definition of COP is (cooling capacity / power), with both terms expressed in the same units. | | | | | | | |
Manufacturers and AHRI (their rating organization) define the terms as: | | | | | | | |
Cooling capacity = total cooling capacity of the system | | | | | | | |
Power = Total equipment power, including supply fan, compressor, condenser fans and controls | | | | | | | |
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EnergyPlus defines the COP terms for a DX coil as: | | | | | | | |
Cooling capacity = total cooling capacity of the system (same as manufacturers) | | | | | | | |
Power = compressor and condenser fans (Note: No supply fan or controls!) | | | | | | | |
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Most real-world packaged air conditioning equipment is not applied with the same operating conditions as exist in the AHRI test setup, | | | | | | | |
so EnergyPlus is well justified to do things differently than AHRI. Nonetheless, because of the different definitions, an EnergyPlus user | | | | | | | |
must derive an equivalent COP for the DX coil that will result in something close to the manufacturer's actual energy performance. | | | | | | | |
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Conveniently, controls use very little power, the AHRI test conditions require a specific small fan pressure, and fan efficiency and system ΔT | | | | | | | |
fall in a relatively narrow range. This means that the power burden of fan and controls is very proportional to cooling capacity for this | | | | | | | |
type of equipment. EnergyPlus defaults to a value of 0.365 W/cfm (773.3 W / m3/s) for the combination of fan and controls. | | | | | | | |
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For an AHRI-rated packaged AC equipment manufacturer: | | | | | | | |
COPahri = | Qtotal | Eqn #1; where both Q and P are both expressed in Watts or BTUH | | | | | |
| Ptotal | | | | | | |
This can be expressed as: | | | | | | | |
COPahri = | Qtotal | Eqn #2; where Pfan includes the supply fan and controls | | | | | |
| Pdx + Pfan | | | | | | |
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For an EnergyPlus DX coil: | | | | | | | |
COPe+ = | Qtotal | Eqn #3; where Pdx is the power of compressor and condenser fans (only) | | | | | |
| Pdx | | | | | | |
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If we assume that Pfan can be considered a constant (K) and that K = airflow * 773.3 W / m3/s, Eqn #2 becomes: | | | | | | | |
COPahri = | Qtotal | | | | | | |
| Pdx + 773.3 * Airflow | | (airflow in m3/s) | | | | |
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Qtotal = | COPahri * (Pdx + 773.3 * Airflow) | | | | | | |
Qtotal = | COPahri*Pdx + COPahri*773.3*Airflow | | | | | | |
| | | | | AHRI fan power1: | 773.3 | W / m3/s |
Qtotal - COPahri*773.3*Airflow = | COPahri*Pdx | | | | Ref: AHRI 210/240-2008 pp4, 5 | 365.0 | W / 1000 cfm |
| | | | | for split systems | | |
Pdx = | Qtotal - COPahri*773.3*Airflow | Eqn #4 | | | 2,118.64 | cfm (1 m3/s) | |
| COPahri | | | | | 1.555 | delta P |
| | | | | | 0.500 | fan efficiency |
Then, substituting Pdx into Eqn #3 : | | | | | | 773.3 | Power (watts) |
COPe+ = | Qtotal | | | | | | |
| Qtotal - COPahri*773.3*Airflow | | | | | | |
| COPahri | | | | | | |
| | | | | AHRI fan power2: | 200 | W / m3/s |
COPe+ = | Qtotal * COPahri | Eqn #5 | | Ref: BPT estimate | 94.4 | W / 1000 cfm | |
| Qtotal - COPahri*773.3*Airflow | | | for self-contained (e.g., PTAC) systems | | | |
| | | | | | 2,118.64 | cfm (1 m3/s) |
or (since most US manufacturers use EER instead of COP): | | | | | 0.400 | delta P | |
COPe+ = | Qtotal * EERahri / 3.412 | Eqn #6 | | | 0.500 | fan efficiency | |
| Qtotal - EERahri/3.412*773.3*Airflow | | | | 198.9 | Power (watts) | |
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ASHRAE 90.1 minimum efficiency tables cite specific AHRI standards, so it is appropriate to assume the above COP derivation for Baseline | | | | | | | |
systems. Proposed systems will use the manufacturer data for EER. | | | | | | | |
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Note: | | | | | | | |
For ASHRAE 90.1-compliant energy models, the "baseline" specified fan power is much greater than what is included for an AHRI-rated | | | | | | | |
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