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Calculate the Power of a Heat Pump

Calculator for the heat output of a heat pump from the coefficient of performance or the annual performance factor and the power used. This calculation is very simple. A heat pump requires power or energy to extract heat from the outside and to conduct it inwards. The thermal output achieved is a multiple of the output used. The exact value can be found in the respective product description. If a heat pump has a coefficient of performance or heating factor of 5, then for every watt used, 5 watts of heat are fed into the heating system. One kilowatt hour of energy therefore provides 5 kilowatt hours of heating energy.
The annual performance factor is a similar value to the coefficient of performance, but takes practical application into account more. The coefficient of performance is a theoretical value under standardized conditions, whereas the annual performance factor donsiders the different weather conditions that occur within a year. The annual performance factor is therefore usually somewhat lower than the coefficient of performance and can only be determined after one year of operation at the earliest.
The third value is calculated from two values, the formula for the calculation is ε=Q/W. The performance factor has no unit, the units of the other two values are identical, e.g. watts or kilowatts for power, joules or kilowatt hours for energy.


Performance factor ε:
Power or energy used W:
Heat output or heating energy Q:



For the power needed at which room size, see the heating power.


Domestic hot water heat pump

Pure domestic hot water heat pumps are generally somewhat less efficient than space heating heat pumps. Their coefficient of performance is around 3, meaning that 1,000 watts of power translates into 3,000 watts of heat output.

Performance factor ε:
Volume V:
Warm water temperature tw: °C
Cold water temperature tk: °C
Price per kWh: Cent

Heat consumption W: kWh
Hot water costs:


Example: With a coefficient of performance of 3, a consumption of 35 cubic meters of hot water per year, a hot water temperature of 50 degrees Celsius, a cold water temperature of 10 degrees Celsius, and a price per kWh of 30 cents, the heat consumption is 1167 kWh, resulting in costs of € or $350.


Last updated on 06/26/2025.

Here you can convert metric units into customary and imperial units and convert temperature units.

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