Finite Element Method in Complex Frequency Domain for Transient Electric Field Intensity Under Electro-quasistatic Field

被引：0
|
作者：
Wen T. [1 ]
Cui X. [1 ]
Li X. [1 ]
Guan S. [1 ]
Liu S. [1 ]
Zhao Z. [1 ]
机构：
[1] State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Changping District, Beijing
来源：
Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering | 2022年 / 42卷 / 07期
基金：
中国国家自然科学基金;
关键词：
Combined insulation structure; Complex frequency domain; Constrained electric field equation on the boundary; Electro-quasistatic field; Finite element method; Numerical Laplace transform; Transient analysis;
D O I：
10.13334/j.0258-8013.pcsee.211679
中图分类号：
学科分类号：
摘要：
With the widespread use of power electronic devices and apparatus in power systems, the combined insulation structure of the devices and apparatus composed of a variety of insulating materials often bears the positive periodic square waveform voltage. Under this kind of non-sinusoidal periodic voltage excitation, the distribution of the transient electric field in the combined insulating structure satisfies the electro-quasistatic (EQS) field condition. Due to the interfacial charge relaxation, the electric field distribution of the combined insulation structure changes transiently. After a period of time of transition process, a non-sinusoidal periodic steady state is finally reached. Under the non-sinusoidal periodic excitation, the periodic steady-state response can be obtained by the existing finite element method in frequency-domain (FD-FEM) based on the Fourier transform, however, the transient response is not available. For this reason, considering charge relaxation characteristics in the composite insulation structure, the FEM in complex frequency domain (CFD-FEM) based on the numerical Laplace transform under the EQS field was proposed. Besides, the constrained electric field equation on the boundary was derived. Moreover, the new formula of selecting the attenuation coefficient in the direct algorithm of the numerical Laplace transform was proposed, with a high numerical accuracy. Numerical results show that CFD-FEM proposed in this paper can effectively calculate the transient transition process under non-sinusoidal periodic excitation. Moreover, the zero-input response caused by the initial state also can be calculated. The CFD-FEM proposed in this paper provides a new method for calculating the transient electric field of the composite insulation structure under periodic excitation. © 2022 Chin. Soc. for Elec. Eng.
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收藏
页码：2776 / 2787
页数：11
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