Heat Pump COP Calculator

Estimate COP from heat, power, temperatures, and cost. Review Carnot efficiency and operating margins safely. Export clean reports for practical heat pump comparisons today.

Calculator Inputs

Formula Used

Heating COP: COP = QH / Win

Energy balance: QH = QC + Win

Carnot heating COP: COPCarnot = TH / (TH - TC)

Defrost adjusted COP: COPd = COP × (1 - defrost loss)

Auxiliary adjusted COP: COPe = 1 / (((1 - aux share) / COPd) + aux share)

Temperatures in the Carnot formula are converted to Kelvin.

How To Use This Calculator

  1. Enter delivered heat output from a test sheet or measurement.
  2. Enter electrical input measured during the same period.
  3. Add absorbed source heat when you want an energy balance check.
  4. Enter hot and cold side temperatures for the Carnot limit.
  5. Add hours, rate, season days, losses, and target COP.
  6. Press Calculate COP to view results above the form.
  7. Use CSV or PDF buttons to export the same calculation.

Example Data Table

Case Heat Output Electrical Input Hot Temp Cold Temp COP
Mild day 12 kW 3.2 kW 35 C 5 C 3.75
Cold day 9 kW 3.6 kW 40 C -5 C 2.50
High efficiency 15 kW 3.4 kW 32 C 10 C 4.41

Understanding Heat Pump COP

COP means coefficient of performance. It compares useful heating delivered with energy supplied. A heat pump can move heat instead of making all heat directly. That is why COP can be higher than one. A COP of three means three kilowatt hours of heat are delivered for each kilowatt hour used.

Why COP Changes

COP is not fixed. It changes with source temperature, sink temperature, airflow, refrigerant charge, defrost cycles, and auxiliary heat. A small temperature lift usually gives better performance. A large lift makes the compressor work harder. Cold outdoor air can reduce output and raise running cost.

Measured And Ideal Performance

This calculator separates measured COP from Carnot COP. Measured COP uses real heat output and electrical input. Carnot COP is an ideal upper limit based on absolute temperatures. Real systems always stay below that limit. The ratio between measured COP and Carnot COP helps show how efficiently the machine uses the available thermodynamic limit.

Energy And Cost View

Power values describe the instant operating point. Hours and electricity price convert that point into daily and monthly estimates. Defrost loss and auxiliary heat settings give a more practical result. These options are useful when comparing field measurements with brochure data, design targets, or utility bills.

Using The Results

Use the COP result as a performance indicator, not a complete system audit. Check that heat output and electric input were measured over the same period. Make sure units are correct. When temperatures are used, choose the hot side and cold side temperatures near the heat exchangers. Review the energy balance if absorbed heat is entered. A large residual can reveal a wrong unit, sensor error, or mixed test condition.

Practical Notes

High COP usually means lower operating cost. Yet comfort and capacity still matter. A small heat pump with high COP may not heat the space during peak load. A larger unit may cycle often in mild weather. Compare COP with load, climate, controls, and installation quality. Good airflow, clean coils, correct charge, and proper ductwork can improve real performance.

Record outdoor temperature with each test. Recheck results after filter changes, service work, or weather shifts. Consistent records make future performance checks easier and clearer.

FAQs

What does heat pump COP mean?

It means coefficient of performance. It shows heating output divided by electrical input. A COP above one means the unit delivers more heat energy than the electrical energy it consumes.

Is a higher COP always better?

Higher COP usually means lower energy use. Still, capacity, climate, comfort, controls, and installation quality also matter. A high COP unit must still meet the heating load.

Why is Carnot COP included?

Carnot COP gives the ideal thermodynamic limit. It helps compare real performance with the best possible value for the chosen hot and cold temperatures.

Can measured COP exceed Carnot COP?

No. A measured value above Carnot COP usually means wrong units, mismatched temperatures, sensor error, or heat and power measured over different periods.

Which units can I enter?

You can enter heat or power in kW, W, Btu per hour, tons, or horsepower where listed. The calculator converts values to kW internally.

How does defrost loss affect COP?

Defrost uses energy and can reduce delivered heat. The calculator lowers measured COP by the selected defrost loss percentage before estimating effective COP.

What is auxiliary heat share?

It is the part of delivered heat supplied by backup resistance heat. Because resistance heat has a COP near one, it can reduce total effective COP.

Can this estimate seasonal cost?

Yes. Enter heat output, operating hours, electricity price, and season days. The result estimates daily and seasonal electricity use and operating cost.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.