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用有限时间热力学方法分析实际稳态制冷装置性能，导出了恒温和变温热源条件下实际闭式回热式布雷顿制冷循环制冷率与压力比和制冷系数与压力比之间的解析关系。考虑的不可逆性包括高、低温侧换热器和回热器的不可逆传热损失，压缩机和膨胀机中的非等熵压缩和膨胀损失，以及管路系统中的压力损失。通过优化两个换热器和回热器之间的热导率分配或传热面积分配可得循环最优性能。由数值算例给出了各项损失对循环制冷率和制冷系数的影响。
The finite element method was used to analyze the performance of the actual steady state refrigeration system. The analytical relationship between the cooling rate and the pressure ratio and the cooling coefficient and pressure ratio of the closed closed recuperative refrigeration cycle under constant temperature and variable temperature heat source was deduced. Considered irreversibilities include irreversible heat transfer losses in high and low temperature side heat exchangers and regenerators, non-isentropic compression and expansion losses in compressors and expanders, and pressure losses in piping systems. Optimal cycling performance is achieved by optimizing the heat transfer or heat transfer between the two heat exchangers and the regenerator. Numerical examples are given for the effects of various losses on the cycle cooling rate and the cooling coefficient.