Multi-Objective Optimization of the Vuilleumier Heat Pump under Adiabatic Condition

Abstract

Abstract The Vuilleumier cycle adiabatic model has complex calculations and numerous structural parameters. In order to facilitate the analysis and optimization of the structural parameters of the adiabatic model, a dimensionless method is adopted, a system of dimensionless differential equations containing 7 dimensionless parameters is obtained. Among the 7 dimensionless parameters, 5 dimensionless structural parameters representing the volume structure characteristics of the system are selected as decision variables in the optimization. The non-dominated sorted genetic algorithm-II is used for multi-objective optimization with heating capacity and COP as the target parameters. Finally, the Pareto front was obtained, and the baseline case was optimized using the TOPSIS method. After optimization, the heating capacity and COP increased by 0.701 % and 0.848 %, respectively.