电工技术学报2018，Vol.33Issue(2)：232-237,6.DOI:10.19595/j.cnki.1000-6753.tces.161067
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
Research and Application of B-Spline Surface Boundary Element Method for Calculating Ultra-High Voltage Insulator Strings Electric Fields
摘要
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.关键词
静电场计算/边界元法/B样条曲面/B样条基函数/特高压绝缘子串Key words
Electrostatic field calculation/boundary element method/B-spline surface/B-spline basic function/ultra high voltage insulator strings分类
信息技术与安全科学引用本文复制引用
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):232-237,6.基金项目
国家自然科学基金资助项目(51577105). （51577105）
