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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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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.
Calculation method of the second and third boundary value problems of electrostatic fields in multi-conductor systems
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 elec-tric 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 par-allel two-wire system as the research object.

electrostatic fieldsboundary value problemsfinite element methodlinear systems

唐烈峥、周国华、卞强、卜凡云、于炎娟

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海军工程大学电气工程学院,湖北武汉 430033

92351部队,海南三亚 572000

静电场 边值问题 有限元法 线性系统

2024

大学物理
中国物理学会

大学物理

影响因子:0.333
ISSN:1000-0712
年,卷(期):2024.43(9)