CAPACITANCE MATRIX REVISITED

Q3 Engineering

Progress In Electromagnetics Research B Pub Date : 2020-07-20 DOI:10.2528/PIERB21011501

I. Smoli'c, B. Klajn

引用次数: 2

Abstract

The capacitance matrix relates the potentials and the charges on a system of conductors. We review and rigorously generalize its properties, block-diagonal structure, inequalities and regularity, deduced from the geometry of the system of conductors and analytic properties of the permittivity tensor. Furthermore, we discuss alternative choices of regularization of the capacitance matrix, which allows us to find the charge exchanged between the conductors having been brought to equal potential. Finally, we discuss the approximations utilized in calculations of the capacitance of capacitors connected in parallel and series.

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重测电容矩阵

电容矩阵表示导体系统上的电位和电荷。我们回顾并严格推广了它的性质，从导体系统的几何推导出的块对角线结构、不等式和正则性，以及介电常数张量的解析性质。此外，我们讨论了电容矩阵正则化的备选选择，这使我们能够发现导体之间交换的电荷已被带到等电位。最后，我们讨论了用于计算并联和串联电容器电容的近似方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Progress In Electromagnetics Research B Engineering-Electrical and Electronic Engineering

CiteScore

2.70

自引率

0.00%

发文量

期刊介绍： Progress In Electromagnetics Research (PIER) B publishes peer-reviewed original, comprehensive and tutorial review articles on all aspects of electromagnetic theory and applications. It is a new journal in 2008, and freely available to all readers via the Internet. Manuscripts submitted to PIER B must not have been submitted simultaneously to other journals. Authors are solely responsible for the factual accuracy of their articles, and all articles are understood to have received clearance(s) for publication.