电工技术学报  2018, Vol. 33 Issue (2): 232-237    DOI: 10.19595/j.cnki.1000-6753.tces.161067
电工理论 |
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
李亚莎, 花旭, 沈星如, 代亚平
三峡大学电气与新能源学院 宜昌 443002
Research and Application of B-Spline Surface Boundary Element Method for Calculating Ultra-High Voltage Insulator Strings Electric Fields
Li Yasha, Hua Xu, Shen Xingru, Dai Yaping
College of Electrical Engineering & New Energy Three Gorges University Yichang 443002 China
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摘要 在计算特高压绝缘子串三维静电场的边界元法中,为了精确确定电场强度和电位分布,提出用双2次B样条曲面拟合实际边界面的B样条曲面边界元法。该方法利用二阶剖分单元的节点坐标信息来求解双2次B样条曲面参数方程,再利用B样条曲面参数方程和面积比值法定义对应于B样条曲面单元4个顶点节点的形状函数;用B样条曲面单元4个顶点作为计算节点,与二阶四边形边界元法相比,计算量大大减少;与线性平面边界元法相比,双2次B样条曲面与实际边界面更接近,从而可以明显提高计算精度。用球形电极和球板电极的电场分布计算进行验算,结果表明:在网格剖分节点数相同时,B样条曲面边界元法的计算精度明显优于线性边界元法。最后,将B样条曲面边界元法应用于交流特高压绝缘子串的电场强度和电位分布计算。
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李亚莎
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代亚平
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    
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 wordsElectrostatic field calculation    boundary element method    B-spline surface    B-spline basic function    ultra high voltage insulator strings   
收稿日期: 2016-07-10      出版日期: 2018-01-31
PACS: TM151  
作者简介: 李亚莎 男,1967年生,博士,副教授,研究方向为高压绝缘与电磁场数值计算。
引用本文:   
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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