In this paper, a new model of the three-electron reservoir energy selective electronic cooling device applying double-resonance energy filters is proposed by using finite time thermodynamics. The analytical formulas of the main performance parameters for the double-resonance three-electron reservoir cooling device are derived. The optimal cooling load and coefficient of performance of the cooling device varying with major structure design parameters are explored and the optimal operation regions are further determined. Moreover, detailed analyses are conducted to reveal the influences of center energy level difference, chemical potential difference, energy level width, energy spacing and the phonon transmission induced heat leakage on the optimal performance characteristics of the cooling device. Finally, a performance comparison is made between the double-resonance and single-resonance three-electron reservoir electronic cooling devices. It is shown that through reasonable structure design, the optimal performance characteristics of the double-resonance device can be controlled to be much higher than those of the single-resonance cooling device.

中文翻译：

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三电子库双谐振电子冷却装置的建模与性能优化

本文利用有限时间热力学提出了一种应用双共振能量滤波器的三电子储层能量选择性电子冷却装置的新模型。推导出双共振三电子储层冷却装置主要性能参数的解析公式。探索了随主要结构设计参数变化的冷却装置的最佳冷却负荷和性能系数，并进一步确定了最佳运行区域。此外，还进行了详细的分析，揭示了中心能级差、化学势差、能级宽度、能量间距和声子传输引起的热泄漏对冷却装置最佳性能特性的影响。最后，对双谐振和单谐振三电子储层电子冷却装置进行了性能比较。结果表明，通过合理的结构设计，双谐振冷却装置的最佳性能特性可以控制在远高于单谐振冷却装置的性能特征。