轴对称非线性磁场分布的有限元分析

一、引言 轴对称电磁结构在轴对称电流作用下的磁场分布问题本是三维问题,利用轴对称关系可将三维麦克斯韦方程化为形如下面(1)式的二维非线性椭圆型方程.它与标准的平面磁场方程有所不同.而且v(B)不是B的单增函数.实际工程中的大型圆柱变压器、平

AN ANALYSIS OF THE FINITE ELEMENT METHOD ON NONLINEAR EQUATIONS OF AXIAL SYMMETRY WITH MAGNETIC FIELD DISTRIBUTION

This article gives the analysis and numerical computation on nonlinear equations ofaxial symmetry with magnetic field distribution by finite element method. The conver-gence of the related solution is proved by the use of Galerkin method. The convergenceof Newton process for the corresponding nonlinear algebraic equations for the finiteelements is likewise proved. Apart from these, a brief account about the tricks and satis-factory results in using accelerating convergence method 2] to solve the problem is given.