Teng Wen, Xiang Cui, Xuebao Li, 等. Finite Element Method for Transient Electric Field by Using Indirect Laplace Transform with High Accuracy[J]. 中国电机工程学会电力与能源系统学报(英文), 2024,10(1):401-411.
Teng Wen, Xiang Cui, Xuebao Li, et al. Finite Element Method for Transient Electric Field by Using Indirect Laplace Transform with High Accuracy[J]. CSEE Journal of Power and Energy Systems, 2024, 10(1): 401-411.
Teng Wen, Xiang Cui, Xuebao Li, 等. Finite Element Method for Transient Electric Field by Using Indirect Laplace Transform with High Accuracy[J]. 中国电机工程学会电力与能源系统学报(英文), 2024,10(1):401-411.DOI: 10.17775/CSEEJPES.2021.07590.
Teng Wen, Xiang Cui, Xuebao Li, et al. Finite Element Method for Transient Electric Field by Using Indirect Laplace Transform with High Accuracy[J]. CSEE Journal of Power and Energy Systems, 2024, 10(1): 401-411.DOI: 10.17775/CSEEJPES.2021.07590.
Finite Element Method for Transient Electric Field by Using Indirect Laplace Transform with High Accuracy
摘要
Abstract
This paper focuses on the finite element method in the complex frequency domain (CFD-FEM) for the transient electric field. First
the initial value and boundary value problem of the transient electric field under the electroquasistatic field in the complex frequency domain is given. In addition
the finite element equation and the constrained electric field equation on the boundary are derived. Secondly
the indirect algorithm of the numerical inverse Laplace transform is introduced. Based on it
the calculation procedures of the CFD-FEM are illustrated in detail. Thirdly
the step response
zero-state response under the positive periodic square waveform (PPSW) voltage
and the zero-input response by the CFD-FEM with direct algorithm and indirect algorithm are compared. Finally
the reason for the numerical oscillations of the zero-state response under the PPSW voltage is analyzed
and the method to reduce oscillations is proposed. The results show that the numerical accuracy of the indirect algorithm of the CFD-FEM is more than an order of magnitude higher than that of the direct algorithm when calculating the step response of the transient electric field. The proposed method can significantly reduce the numerical oscillations of the zero-state response under the PPSW voltage. The proposed method is helpful for the calculation of the transient electric field
especially in the case of frequency-dependent parameters.
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相关作者
Hao Ma
Sichen Qin
Yifei Ma
Qian Wang
Jiawei Zhang
Chuang Wang
Chi Chen
Zicai Shen
相关机构
Department of Electrical Engineering, Xi'an University of Technology
Beijing Institute of Spacecraft Environment Engineering
State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology
State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University