Coefficient of Performance (COP) Calculator

Calculate the Coefficient of Performance for heat pumps and refrigeration systems. COP measures the efficiency of heating or cooling systems relative to the work input.

COP
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Actual COP
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Carnot COP (max)
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Efficiency vs Carnot
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Energy Saved vs Electric
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What Is COP?

The Coefficient of Performance (COP) is the ratio of useful heating or cooling provided to the work required. Unlike thermal efficiency (always less than 1), COP can be much greater than 1 because heat pumps and refrigerators move thermal energy rather than create it. A COP of 3 means the system provides 3 kW of heating for every 1 kW of electrical input.

COP is the primary metric for evaluating the efficiency of heat pumps, air conditioners, refrigerators, and chillers. The maximum possible COP is determined by the Carnot cycle and depends only on the temperature difference between hot and cold reservoirs. Real systems achieve 30-60% of the Carnot COP due to irreversibilities.

Formulas

COPheating = QH / W    COPcooling = QC / W
COPCarnot,heat = TH/(TH-TC)    COPCarnot,cool = TC/(TH-TC)

Typical COP Values

SystemCOP Range
Window AC2.5-3.5
Air-source heat pump2.5-4.5
Ground-source heat pump3.5-5.5
Industrial chiller4-7
Electric resistance heater1.0 (by definition)

Frequently Asked Questions

Can COP be greater than 1?

Yes, and it normally is for heat pumps and refrigerators. COP > 1 does not violate thermodynamics because the device moves heat, not creates it. The work input drives heat from a cold reservoir to a hot one. Only the Carnot COP sets the theoretical maximum.

How does COP relate to SEER and EER?

EER (Energy Efficiency Ratio) is COP multiplied by 3.412 (to convert from W to BTU/h). SEER is the seasonal average EER accounting for varying outdoor temperatures. A SEER of 16 corresponds to an average COP of about 4.7.