The respective performances of hypothetical Stirling engine and Stirling cooler in Vuilleumier machines are usually unclear. In this paper, a method of alternate combination of adiabatic sub-model with considering the losses and isothermal sub-model without considering the losses was proposed. The engine's work output is obtained by combining adiabatic engine and isothermal cooler, while the cooler's work input is obtained by combining adiabatic cooler and isothermal engine. Then, engine's thermal efficiency and cooler's coefficient of performance (COP) were obtained. The relative Carnot efficiency of hypothetical engine was 45%–57% at conditions of 550 °C hot temperature and 50 °C–70 °C warm temperature. The relative Carnot efficiency of hypothetical cooler was 44%–51% at conditions of −20 °C~10 °C cold temperature and 50 °C~70 °C warm temperature. In addition, a comparison of Vuilleumier machines’ COP based on a complete adiabatic model and the hybrid model was made. The ratio of COP_V,hybrid over COP_V,adia was in the range of 0.9~0.94. It indicated that the respective thermal efficiency and COP_cooler in the hybrid model could approach to those in a complete adiabatic model.

通常不清楚Vuilleumier机器中假设的斯特林发动机和斯特林冷却器的性能。提出了一种考虑损失的绝热子模型与不考虑损失的等温子模型的交替组合方法。通过组合绝热发动机和等温冷却器获得发动机的功输出，而通过组合绝热冷却器和等温发动机获得冷却器的功输入。然后，获得了发动机的热效率和冷却器的性能系数（COP）。假设发动机在550°C高温和50°C–70°C高温条件下的相对卡诺效率为45％–57％。在-20°C〜10°C的低温和50°C〜70°C的高温条件下，假设冷却器的相对卡诺效率为44％–51％。此外，还对基于完全绝热模型和混合模型的Vuilleumier机器的COP进行了比较。COP比率_V，杂种比COP _V，印度在_0.9〜0.94范围内。这表明混合模型中各自的热效率和COP_冷却器可以接近完全绝热模型中的热效率和COP_冷却器。