Modelling and Optimization Study of an Absorption Cooling Machine using Lagrange Method to Minimize the Thermal Energy Consumption

Abstract

In this paper, the development of a mathematical model has been studied in order to optimize the absorption cooling machine by using the Lagrange multiplier method to the thermal model. The objective of this study is to minimize the thermal energy consumption in the generator, in the frame of a cooling capacity imposed in the evaporator. The optimization is based on the objective function taking into account two constraints; the entropy and the physical dimension constraint. The results show that the temperature of the heat source at the input of the generator has a significant effect on the performance of the absorption cooling machine. In order to minimize the thermal power of the generator, It is found that the thermal power in the generator decreases from 10.52 kW to 7.61 kW when the inlet temperature in the generator varies from 120 ° C to 130 ° C.