In this work, we study the dynamic robustness of an endoreversible Carnot cycle working at the maximum per-unit-time performance regime, based on the linearization technique for dynamical systems and the local stability analysis. Our analysis is focused on the endoreversible Carnot refrigerator model, which works in the maximum per-unit-time coefficient of performance. At the steady-state of the maximum performance, the expressions of the relaxation times describing the stability of the system are derived. It is found that the relaxation times in the cycle condition are the function of thermal conductances σh and σc, the temperatures of the heat reservoirs Th and Tc, and the heat capacity C. The influence of the temperature ratio τ = Tc/Th and the thermal conductance ratio σr = σh/σc on the relaxation times is discussed in detail. The results obtained here are useful and provide a potential guidance for the design of an endoreversible Carnot refrigerator working in the maximum performance per cycle time optimization condition.
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机译：在这项工作中，我们基于动力系统的线性化技术和局部稳定性分析，研究了在最大单位时间性能状态下工作的内可逆卡诺循环的动态鲁棒性。我们的分析集中于内可逆卡诺制冷机模型，该模型以最大的单位时间性能系数工作。在最大性能的稳态下，得出描述系统稳定性的弛豫时间表达式。发现循环条件下的弛豫时间是热导率σh和σc，储热器Th和Tc的温度以及热容C的函数。温度比τ= Tc / Th和温度的影响详细讨论了热导率σr= σ h / σ c 的弛豫时间。此处获得的结果是有用的，并为在每个循环时间优化条件下以最佳性能工作的内可逆卡诺制冷机的设计提供了潜在的指导。
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