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电路中的熵

Entropies in Electric Circuits.

作者信息

Cuadras Angel, Ovejas Victoria J, Martínez-García Herminio

机构信息

Electronics Engineering Department (DEEL), Energy, Power and Integrated Circuits (EPIC), Escola d'Enginyeria de Barcelona Est (EEBE), Universitat Politècnica de Catalunya-BarcelonaTech (UPC), Av. d'Eduard Maristany, 16 Edifici A Campus Besòs, 08029 Barcelona, Spain.

出版信息

Entropy (Basel). 2025 Jan 15;27(1):73. doi: 10.3390/e27010073.

DOI:10.3390/e27010073
PMID:39851693
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11765324/
Abstract

The present study examines the relationship between thermal and configurational entropy in two resistors in parallel and in series. The objective is to introduce entropy in electric circuit analysis by considering the impact of system geometry on energy conversion in the circuit. Thermal entropy is derived from thermodynamics, whereas configurational entropy is derived from network modelling. It is observed that the relationship between thermal entropy and configurational entropy varies depending on the configuration of the resistors. In parallel resistors, thermal entropy decreases with configurational entropy, while in series resistors, the opposite is true. The implications of the maximum power transfer theorem and constructal law are discussed. The entropy generation for resistors at different temperatures was evaluated, and it was found that the consideration of resistor configurational entropy change was necessary for consistency. Furthermore, for the sake of generalization, a similar behaviour was observed in time-dependent circuits, either for resistor-capacitor circuits or circuits involving degradation.

摘要

本研究考察了两个并联和串联电阻中热熵与构型熵之间的关系。目的是通过考虑系统几何结构对电路中能量转换的影响，将熵引入电路分析。热熵源自热力学，而构型熵源自网络建模。可以观察到，热熵与构型熵之间的关系随电阻的配置而变化。在并联电阻中，热熵随构型熵降低，而在串联电阻中情况则相反。讨论了最大功率传输定理和构建定律的含义。评估了不同温度下电阻的熵产生，发现考虑电阻构型熵变化对于一致性是必要的。此外，为了进行推广，在随时间变化的电路中，无论是电阻 - 电容电路还是涉及退化的电路，都观察到了类似的行为。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/ba70342b1d03/entropy-27-00073-g019.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/1e10c1ce117e/entropy-27-00073-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/00f5bf2e37a9/entropy-27-00073-g008.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/130c67b72021/entropy-27-00073-g011.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/22ce25bde90b/entropy-27-00073-g018a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/ba70342b1d03/entropy-27-00073-g019.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/d7ee99d40072/entropy-27-00073-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/555bfebe112d/entropy-27-00073-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/ebfd8bc2f126/entropy-27-00073-g003.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/00f5bf2e37a9/entropy-27-00073-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/435751479ca6/entropy-27-00073-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/3f4167fbc42c/entropy-27-00073-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/130c67b72021/entropy-27-00073-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/a293a28ff67c/entropy-27-00073-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/5fcc53d8cd64/entropy-27-00073-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/3e01cee73736/entropy-27-00073-g014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/c05422b4d163/entropy-27-00073-g015.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/1f0624f243ec/entropy-27-00073-g016.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/6488e5e6df8e/entropy-27-00073-g017.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/22ce25bde90b/entropy-27-00073-g018a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/6c68/11765324/ba70342b1d03/entropy-27-00073-g019.jpg

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