Based on the definition of exergy-based efficient ecological-function (EEF) proposed in the existing literature, which is the product of energy conversion coefficient-of-performance (ɛ) and exergy-based ecological-function (E), this paper will introduce the exergy-based EEF into performance optimization for Carnot refrigerator cycle. Via endoreversible Carnot refrigerator model established in previous literature, expression of the exergy-based EEF of refrigerator is derived based on finite-time thermodynamic theory, relationships of dimensionless exergy-based EEF versus ɛ and cooling load (R) are studied, and performance differences of refrigerator cycles at the maximum exergy-based EEF, at the maximum E, and at the maximum efficient cooling-load conditions are compared. The results demonstrate that relationships of dimensionless exergy-based EEF versus R and ɛ are parabolic-like ones; in actual design, the refrigerator should be designed at the larger R and ɛ points. When exergy-based EEF is taken as optimization-objective, although R decreases slightly, ɛ is increased, and entropy-generation-rate (σ) is greatly decreased, so exergy-based EEF does not only reflect the compromise between the R and σ, but also reflect the compromise between the R and ɛ.

中文翻译：

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基于用能的内逆 Carnot 冰箱高效生态功能优化


本文基于现有文献中提出的基于用能的有效生态功能 （EEF） 的定义，该定义是能量转换性能系数 （ɛ） 和基于用能的生态功能 （E） 的乘积，本文将基于用能的 EEF 引入卡诺冰箱循环的性能优化中。通过以往文献中建立的不可逆卡诺冰箱模型，基于有限时间热力学理论推导出了冰箱基于用能的 EEF 的表达，研究了基于无量纲的基于用能的 EEF 与 ɛ 和冷却负荷 （R） 的关系，并比较了在最大基于用能的 EEF、最大 E 和最大有效冷却负荷条件下冰箱循环的性能差异。结果表明，基于无量纲用能的 EEF 与 R 和 ɛ 的关系是类似抛物线的关系;在实际设计中，冰箱应设计在较大的 R 和 ɛ 点。当以基于放能的 EEF 作为优化目标时，虽然 R 略有降低，ɛ 增加，熵生成率 （σ） 大大降低，因此基于放能的 EEF 不仅反映了 R 和 σ 之间的折衷，也反映了 R 和 ɛ 之间的折衷。