Surface charge inversion algorithms based on integral equation method

IF 4.4 2区工程技术 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC

High Voltage Pub Date : 2024-01-19 DOI:10.1049/hve2.12410

Kang Ma, Fangcheng Lv, Shenghui Wang, Huaqi Liu, Lihong Wang

引用次数: 0

Abstract

Accurate surface charge inversion can guide the research on surface modification of insulators in GIS/GIL. The current inversion algorithms have disadvantages of high computational cost and low accuracy. Based on that, the integral equation method (IEM) is proposed to calculate the transformation matrix. Compared with the traditional analytical method (AM), IEM has a simple calculation process. The calculation speed of IEM is much faster than that of AM. To suppress the numerical divergence in IEM, the Tikhonov regularisation method is introduced and Tikhonov-IEM is proposed. For square insulators, compared to IEM, the peak-mean square error (PMSE) is reduced by about 40 percent. However, Tikhonov-IEM is not suitable for basin insulators. Therefore, the least square method (LSM) is introduced and the LSM-IEM is proposed. For basin insulators, compared to IEM, the PMSE is reduced by about 30 percent. Finally, the accuracy of the algorithms is verified by physical tests.

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基于积分方程法的表面电荷反演算法

精确的表面电荷反转可以指导 GIS/GIL 中绝缘体表面改性的研究。目前的反演算法存在计算成本高、精度低的缺点。在此基础上，提出了积分方程法（IEM）来计算转换矩阵。与传统的解析法（AM）相比，IEM 计算过程简单。IEM 的计算速度比 AM 快得多。为了抑制 IEM 中的数值发散，引入了 Tikhonov 正则化方法，并提出了 Tikhonov-IEM 方法。对于方形绝缘体，与 IEM 相比，峰值均方误差 (PMSE) 降低了约 40%。然而，Tikhonov-IEM 并不适用于盆状绝缘体。因此，引入了最小平方法（LSM），并提出了 LSM-IEM 方法。对于盆地绝缘体，与 IEM 相比，PMSE 降低了约 30%。最后，通过物理测试验证了算法的准确性。

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

High Voltage Energy-Energy Engineering and Power Technology

CiteScore

9.60

自引率

27.30%

发文量

审稿时长

21 weeks

期刊介绍： High Voltage aims to attract original research papers and review articles. The scope covers high-voltage power engineering and high voltage applications, including experimental, computational (including simulation and modelling) and theoretical studies, which include: Electrical Insulation ● Outdoor, indoor, solid, liquid and gas insulation ● Transient voltages and overvoltage protection ● Nano-dielectrics and new insulation materials ● Condition monitoring and maintenance Discharge and plasmas, pulsed power ● Electrical discharge, plasma generation and applications ● Interactions of plasma with surfaces ● Pulsed power science and technology High-field effects ● Computation, measurements of Intensive Electromagnetic Field ● Electromagnetic compatibility ● Biomedical effects ● Environmental effects and protection High Voltage Engineering ● Design problems, testing and measuring techniques ● Equipment development and asset management ● Smart Grid, live line working ● AC/DC power electronics ● UHV power transmission Special Issues. Call for papers: Interface Charging Phenomena for Dielectric Materials - https://digital-library.theiet.org/files/HVE_CFP_ICP.pdf Emerging Materials For High Voltage Applications - https://digital-library.theiet.org/files/HVE_CFP_EMHVA.pdf