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中文摘要：
本文建立了以无相互作用1／2自旋系统为工质的不可逆量子布雷顿制冷循环模型，循环由两个等磁场过程和两个不可逆绝热过程组成。模型考虑了热阻、内摩擦、旁通热漏三种不可逆损失。应用有限时间热力学理论、量子主方程和量子半群方法，本文导出了该制冷机的循环周期、制冷率和制冷系数。应用数值计算和图例，给出了量子布雷顿制冷机的制冷率和制冷系数最优性能，并分析了量子摩擦和旁通热漏对其最优性能的影响。
英文摘要：
This paper establishes an irreversible quantum Brayton refrigeration cycle model using work substance consisting of non-interacting spin-1/2 systems. The cycle consists of two isomagnetic processes and two adiabatic processes. The model considered the irreversible losses of heat resistance, internal friction and bypass heat leakage. By using finite time thermodynamics theory, quantum master equation and quantum semi-group approach, this paper derives the cycle period, cooling load and coefficient of performance （COP） of the refrigerator. By using detailed numerical examples and figures, this paper gives the optimal cooling load and COP performance of the refrigerator, and analyses the effects of internal friction and bypass heat leakage on the optimal performance.
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