摘要
本文从三维恒定电磁场的边界积分方程及基本解出发推导出轴对称恒定电磁场的标量边界元法。这包括边界积分公式、基本解及边界元方程的导出、系数矩阵元素的计算与场量的求取。文中特别对系数元素计算时奇异积分的处理进行了详细的探讨。通过对两个静电场问题的计算分析,表明建立的方法是可行的,具有较高的精度,可以很方便地应用于具有轴对称特性的电工设备的恒定电磁场分析与设计。
In the paper,the scalar potential boundary element method for the axisymmetric static electromagnetic field are deived from the boundary integral equation and the fundamental solution of three dimensional static electromagnetic field problems. In paticular,the treatment ofsingular integrals when calculating the elements of the coefficient matrixis described in detail.Based on these,two axisymmetric electrostaticfield problems are calculated.The results show that the method presented in this paper is reliable,and has high accuracy. It can be usedin analy-zing and designing the static electromagnetic field of axisymmetric equi-pment in electrical engineering.
出处
《电工电能新技术》
CSCD
北大核心
1994年第3期8-15,7,共9页
Advanced Technology of Electrical Engineering and Energy
关键词
边界元法
轴对称恒定电磁场
标量位
boundary element method.scalar pontential,axisymmetric static electromagnetic.