Surface charge inversion algorithms based on integral equation method

Author:

Ma Kang1ORCID,Lv Fangcheng1,Wang Shenghui1,Liu Huaqi2ORCID,Wang Lihong3

Affiliation:

1. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Beijing China

2. Beijing Sifang Automation Co. Ltd. Beijing China

3. State Grid Henan Electric Power Company Luoyang Power Supply Company Luoyang Henan China

Abstract

AbstractAccurate 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.

Publisher

Institution of Engineering and Technology (IET)

Subject

Electrical and Electronic Engineering,Energy Engineering and Power Technology

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