Abstract An irreversible regenerative Brayton refrigerator cycle is established, in which the nonperfect regenerator, regenerative time, heat leak, and irreversible adiabatic processes are taken into account. The mathematical expressions of the refrigeration rate, coefficient of performance, and thermoeconomic function of the refrigeration cycle are derived and the thermoeconomic function is optimized. Moreover, choosing Gd, Gd0.95Dy0.05 and Gd0.95Er0.05 as the working substances respectively, we discussed in detail the influences of the thermoeconomic and thermodynamic parameters on the optimal thermoeconomic and thermodynamic performances. The results show that the thermoeconomic performance of the refrigeration cycle using Gd or Gd0.95Dy0.05 as the working substance is better than that using Gd0.95Er0.05 and the thermoeconomic performance of the refrigeration cycle using Gd0.95Dy0.05 as the working substance is better than that using Gd in the situation with the lower adiabatic magnetization.

中文翻译：

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以Gd、Gd0.95Dy0.05或Gd0.95Er0.05为工质的不可逆布雷顿制冷循环的热经济性能优化

摘要 建立了不可逆蓄热式布雷顿制冷机循环，其中考虑了蓄热器的不完美、蓄热时间、热泄漏和不可逆绝热过程。推导了制冷循环的制冷率、性能系数和热经济函数的数学表达式，并对热经济函数进行了优化。此外，分别选择Gd、Gd0.95Dy0.05和Gd0.95Er0.05作为工质，详细讨论了热经济和热力学参数对最佳热经济和热力学性能的影响。结果表明，以Gd或Gd0.95Dy0.05为工质的制冷循环的热经济性能优于使用Gd0.95Er0的制冷循环。