摘要
提出用新型等效源法求解非线性静磁场问题。把二维静磁场方程等效为泊松方程 ,从而使变 μ值的非线性的问题等效成为可变内部磁荷密度分布函数的非线性问题。然后利用新型等效源法迭代求解这一非线性方程 ,该文中详细给出了这一过程的实施方法和计算公式。由于新型等效源法产生的场量分布可用级数形式表示 ,因此在求解非线性方程组的迭代过程中只需对磁导率 μ进行曲面拟合 ,与边界元法相比 ,这将节省内存、减少CPU时间、提高计算效率。最后用实例验证了所提出方法的正确性和有效性 ,并与边界元法的计算结果进行了比较。
For the first time,the new type equivalent source method(NESM) is applied to the 2D nonlinear magnetostatic field.The practical execution procedure and calculation formulae of solving the nonlinear magnetostatic field equation by using the new type equivalent source method are described in details.First,the 2D nonlinear magnetcstatic field equations are expressed in form of the poisson equations equivalently,thus the nonlinear problem with a variable μ value is transformed into one with a variable magnetic charge density distribution,equivalently.Then the nonlinear equations are solved by using an alternate scheme.Because the field distribution in all the subregions can be expressed as series forms,only the magnetic permeability μ needs to be fitted in alternate procedurs.Compared with the boundary element method(BEM),the calculating program is less complex and the CPU time is decreased.Finally,as an example,a 2D field distribution is carried out by using the method,the result is compared with that form the BEM method and good agreement is found.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2001年第9期74-77,81,共5页
Proceedings of the CSEE
关键词
二维非线性静磁场
计算
等效源法
有限元
new type equivalent source
nonlinear magnetostatic field
curved surface fitting
alternate method
