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从最大功率到低耗散热机的权衡优化:控制参数的影响及熵产生的作用

From maximum power to a trade-off optimization of low-dissipation heat engines: Influence of control parameters and the role of entropy generation.

作者信息

Gonzalez-Ayala Julian, Calvo Hernández A, Roco J M M

机构信息

Departamento de Física Aplicada, Universidad de Salamanca, 37008 Salamanca, Spain.

Departamento de Física Aplicada and Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca, 37008 Salamanca, Spain.

出版信息

Phys Rev E. 2017 Feb;95(2-1):022131. doi: 10.1103/PhysRevE.95.022131. Epub 2017 Feb 23.

DOI:10.1103/PhysRevE.95.022131
PMID:28297927
Abstract

For a low-dissipation heat engine model we present the role of the partial contact times and the total operational time as control parameters to switch from maximum power state to maximum Ω trade-off state. The symmetry of the dissipation coefficients may be used in the design of the heat engine to offer, in such switching, a suitable compromise between efficiency gain, power losses, and entropy change. Bounds for entropy production, efficiency, and power output are presented for transitions between both regimes. In the maximum power and maximum Ω trade-off cases the relevant space of parameters are analyzed together with the configuration of minimum entropy production. A detailed analysis of the parameter's space shows physically prohibited regions in which there is no longer a heat engine and another region that is physically well behaved but is not suitable for possible optimization criteria.

摘要

对于一个低耗散热机模型,我们提出将部分接触时间和总运行时间作为控制参数的作用,以实现从最大功率状态切换到最大Ω权衡状态。耗散系数的对称性可用于热机设计,以便在这种切换过程中,在效率增益、功率损耗和熵变之间提供合适的折衷方案。给出了两种状态之间转换时的熵产生、效率和功率输出的界限。在最大功率和最大Ω权衡情况下,分析了相关参数空间以及最小熵产生的配置。对参数空间的详细分析表明,存在物理上禁止的区域,在该区域不再存在热机,还有另一个区域在物理上表现良好,但不适合可能的优化标准。

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