计算三维涡流场的H-ψ方法

The H-ψ Method Used to Calculate 3-D Eddy Current Field

H-ψ法是一种以H作为涡流区求解变量,以ψ作为非涡流区求解变量的有限元方法。本文讨论了H和ψ在涡流区与非涡流区分界面上的耦合问题,对文献[4][5]中提出的H-ψ泛函进行了修正,最后通过算例证实了改进泛函的正确性以及用H-ψ法求解三维涡流场的可行性。

The H-ψ method is a kind of finite element method in which magnetic field mtensity H and scalar magnetic potential ψ are used in eddy current region and non-eddy current region respectively as unknown variables. In this paper, the coupling condition on the interface between conductive and non-conductive regions is discussed; the failure area of existing H-ψ method is pointed out,Therefore,a modified H-ψ method is presented and proved by using this method to calculate a threedimeasional eddy current field model.