Comparison of COP estimation methods for large-scale heat pumps used in energy planning

This paper compares estimation of the coefficient of performance (COP) of a large-scale heat pump (HP) for district heating based on four methods to the COP obtained using a detailed thermodynamic HP model. Four heat sources and varying district heating supply temperatures were considered. The COP estimation methods are based on constant COP, Lorenz efficiency, exergy efficiency and a method presented by Jensen et al. (2018). They were implemented in an energy planning tool and further analysed. The planning tool was used to assess HP implementation in a new district in Copenhagen, Denmark. The change in seasonal COP of the HPs, the economic results and optimal HP capacities were compared.
The results show that the Jensen et al. (2018) method provides good approximations and that the planning tool identifies a similar solution compared to the use of the thermodynamic HP model. Assuming a constant Lorenz efficiency, exergy efficiency or COP over the year resulted in large deviations in COP, especially for operations very different from the design conditions. Consequently, other heat sources were found for the most economical solution. The accuracy of the three methods decreased when the initial assumptions of constant COP and efficiencies differed from the ones at design conditions.