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研究定常态恒温热源热泵循环的有限时间热力学性能，导出内可逆卡诺热泵和布雷顿热泵的最佳供热率和供热系数关系，并对这两种热泵循环的最优性能进行了比较。理论分析表明，只有当工质的热容率趋于无穷大时，布雷顿循环才能达到卡诺循环的性能。数值计算显示，当布雷顿循环的工质热容率为高、低温侧换热器的热导率总量的１．５倍时，布雷顿循环的供热率已为卡诺循环供热量的９９％以上
The finite-time thermodynamic properties of a constant-temperature thermo-active heat pump cycle are studied. The relationship between the optimal heating rate and the heating coefficient of the endoreversible Carnot and Breton heat pumps is derived and the optimal performance of the two heat pump cycles is compared. The theoretical analysis shows that the Brayton cycle can achieve the Carnot cycle performance only when the heat capacity of the working fluid tends to infinity. Numerical calculations show that when the heat capacity of the Brayton cycle is high and the thermal conductivity of the low temperature side heat exchanger is 1.5 times the heating rate of the Brayton cycle, More than 99%