B样条曲面边界元方法及其在特高压绝缘子串电场计算中的应用

doi:10.19595/j.cnki.1000-6753.tces.161067

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Abstract In boundary element method (BEM) for calculating 3-D electrostatic fields of ultra-high voltage (UHV) insulator strings, in order to calculate the electric field intensities and the potential distribution accurately, this paper proposes B-spline surface BEM using the double quadric B-spline surface to fit the actual boundary surface. This method uses node coordinates of second-order element to construct double quadric B-spline surface parameter equation, and constructs shape functions corresponding to four vertex nodes of B-spline surface using B-spline surface parameter equation and area ratio method. The B-spline surface BEM takes the four vertex nodes of B-spline surface as the calculating nodes. The calculation will be greatly reduced compared with the second-order quadrilateral BEM, while compared with linear planar BEM, the double quadric B-spline surface is closer to the actual boundary surface, which can improve the calculation precision. The electric field distributions of the spherical electrode and sphere-plate electrode were calculated. The results show that the calculation accuracy of the B-spline surface BEM is better than that of the linear BEM on the condition of same grid nodes. Finally, the B-spline surface BEM is applied to calculate the electric field intensities and the potential distribution of AC UHV insulator strings.

Key words： Electrostatic field calculation boundary element method B-spline surface B-spline basic function ultra high voltage insulator strings

Received: 10 July 2016 Published: 31 January 2018

PACS:

TM151

Fund:国家自然科学基金资助项目（51577105）

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	Li Yasha
	Hua Xu
	Shen Xingru
	Dai Yaping

Cite this article:

Li Yasha,Hua Xu,Shen Xingru等. Research and Application of B-Spline Surface Boundary Element Method for Calculating Ultra-High Voltage Insulator Strings Electric Fields[J]. Transactions of China Electrotechnical Society, 2018, 33(2): 232-237.

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https://dgjsxb.ces-transaction.com/EN/10.19595/j.cnki.1000-6753.tces.161067 OR https://dgjsxb.ces-transaction.com/EN/Y2018/V33/I2/232

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