不可逆量子斯特林热泵循环性能分析与优化

建立了以一维无限深势阱中极端相对论粒子为工质的不可逆量子斯特林热泵循环模型。考虑高低温热源之间的热漏，导出了循环的性能系数与无量纲泵热率的表达式。分析了循环性能与各性能参数之间的关系。研究发现，热泵的性能系数与无量纲泵热率都随粒子在状态1进处于激收态上的占有几度单调递减，性能系数与无量纲泵热率都是势阱宽度比的凸单调函数。无量纲泵热率关于性能系数的关系曲线为回原点的扭叶型，并确定了该不可逆量子斯特林热泵的最优运行区间。

Cyclic Performance Analysis and Optimization of Irreversible Quantum Stirling Heat Pump

A cyclic model of the irreversible quantum Stirling heat pump was established， whose working substance consists of non-interacting extreme relativistic particles confined to a one-dimensional infinite potential well. Based on the heat leakage between hot and cold reservoirs，analytical expressions of dimensionless pump-heating rate and cyclic performance were derived. The relationship between system performance and performance parameters was analyzed. Study results show that coefficient of performance and dimensionless pump-heating rate are convex monotone functions of the width ratio of potential well. With the increase of the occupancy probability of a particle in the excited state in state 1， coefficient of performance and dimensionless pump-heating rate decrease monotonically. The variation curve of the dimensionless pump-heating rate with coefficient of performance is loop-shaped. The optimal operating range for the irreversible quantum Stirling heat pump is determined.