多导体系统中静电场第二类、第三类边值问题的求解方法

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  • 1. 海军工程大学 电气工程学院,湖北 武汉 430033;2. 92351部队,海南 三亚 572000
唐烈峥(1993—),男,湖南永州人,海军工程大学讲师,博士,主要从事工程电磁场教学和舰船消磁研究工作.

收稿日期: 2023-12-13

  修回日期: 2024-03-02

  网络出版日期: 2024-11-13

Calculation method of the second and third boundary value problems of electrostatic fields in multi-conductor systems

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  • 1. College of Electrical Engineering, Naval University of Engineering, Wuhan 430033, China; 
    2. The 92351st Unit of PLA, Sanya 572000, China

Received date: 2023-12-13

  Revised date: 2024-03-02

  Online published: 2024-11-13

摘要

静电场的第二类、第三类边值问题中通常给定导体的总电荷量,但由于导体面电荷密度分布未知,无法直接求解电场.本文根据静电场中导体电荷与电位的线性关系,将第二类、第三类边值问题转化为第一类边值问题,从而实现上述问题的求解.在此基础上,以平行双导线系统为研究对象,开展了静电场有限元仿真,验证了所提方法的有效性. 

本文引用格式

唐烈峥, 周国华, 卞 强, 卜凡云, 于炎娟 . 多导体系统中静电场第二类、第三类边值问题的求解方法[J]. 大学物理, 2024 , 43(9) : 26 . DOI: 10.16854/j.cnki.1000-0712.230463

Abstract

The total charges of conductors are usually given in the second and third boundary value problems of the electrostatic field, but the electric field cannot be directly solved due to the unknown charge density distribution on the conductor surface. Therefore, according to the linear relationship between the conductor charge and the electric potential in the electrostatic field, the second and third boundary value problems are transformed into the first boundary value problem, so as to realize the calculation of the above problems. On this basis, the finite element analyses of the electrostatic field are carried out to verify the effectiveness of the proposed method by taking the parallel two-wire system as the research object.

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