Investigation of Heat Pump Condenser Performance in Heating Process of Buildings using a Steady-State Mathematical Model

The general aim of the paper is the wide-range analysis of heat pump plate condenser performance depending on external impacts. The external impacts are the inlet temperature of hot water, the hydraulic resistance of the hot water circuit, the power of circulation pump and the surface of condenser. The additional goal is to find the appropriate power of circulation pump to obtain the near maximum condenser performance as a function of resistance to flow in the hot water circuit and dimension of condenser. The performance of condenser is the quantity of heat exchanged inside the condenser between the refrigerant and the hot water. The analysis of performance and appropriate power is done using the non-linear lumped parameter mathematical model. The mathematical model includes equations of heat transfer between the hot water and the refrigerant inside the condenser, the power of circulation pump and the hydraulic resistance in hot water circuit. The mathematical model of the condenser is divided into a section of superheated steam cooling and a section of saturation steam condensation of refrigerant. In order to solve the mathematical model, which comprises of nonlinear algebraic equation system, the Newton-Taylor linearization and Gauss elimination methods were applied.