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.
李亚莎, 花旭, 沈星如, 代亚平. 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[J]. 电工技术学报, 2018, 33(2): 232-237.
Li Yasha, Hua Xu, Shen Xingru, Dai Yaping. Research and Application of B-Spline Surface Boundary Element Method for Calculating Ultra-High Voltage Insulator Strings Electric Fields. Transactions of China Electrotechnical Society, 2018, 33(2): 232-237.
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2018, Vol. 33 
