Finding COP of a heat pump:
The Coefficient of Performance (COP) is used to define the heating performance of heat pumps. COP is defined as the ratio of heat delivered by the heat pump and the electricity supplied to the heat pump to deliver the useful heat.
Table 3. COP for different types of Heat Pump for different lift temperature

Source: Canadian Standards Association, CAN/CSA-C13256, Natural Resources Canada’s (NRCan’s) Commercial Earth Energy Systems: A Buyer’s Guide.
The heating coefficient of performance of a heat pump mainly depends on the temperature lift i.e. temperature difference between the heat distribution and source. The COP of different heat pumps varying with lift are shown in the table above. These values adapted from Canadian Standards Association, Energy Efficiency Directory.
In the above table COP's for only rounded lift temperature numbers are shown. COP's at a lift temperature other than shown in the table can be found from the heat pump analysis tool.
Sizing the heat pump and auxiliary heating system:
Sizing a heat pump is very important in supplying energy to meet the demand. If the heat pump is designed under the demand an auxiliary heating system has to be installed to meet the total demand. If the heat pump is over designed, the capital cost of the project will be very high and pay back periods are increased.
But in the case of uneven seasonal or monthly demand, heat pumps have to be designed for base load and peak loads are to be supplied by other heating systems that keep the capital costs lower and pay back periods shorter.
Cost Analysis and environmental Impact:
Cost analysis and environmental impact play a prominent role in sizing the heating system and studying the economic feasibility of the project. The cost analysis covers the estimation of the capital cost, operation and maintenance costs, running costs of the project and its savings over the current system. Finally, the payback time is calculated.
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