各向异性媒质中三维涡流场的等效源法

Equivalent source method for calculating 3 D eddy currents in the anisotropic medium

提出计算各向异性媒质中三维涡流场的等效源法。该法是将各向异性媒质中涡流场问题转化为附加等效源的各向同性媒质中涡流场问题。还提出实现等效源法的迭代算法，该算法是用通常的求解各向同性媒质中涡流场的方法（如有限元法、边界元法、模拟源法等）迭代计算附加等效源的各向同性媒质中涡流场。文中还给出了等效源迭代算法的收敛条件。由于每次迭代都可以利用计算各向同性场的中间结果，所以迭代计算所需的机时不多。文中给出了计算实例。

An equivalent source method for calculating 3 D eddy currents in the anisotropic medium is proposed. The calculation of the eddy currents in the anisotropic medium can be replaced by the calculation of the eddy currents in the isotropic medium with the equivalent sources. An iterative algorithm implementing this equivalent source method is also proposed. A conventional method (such as finite element method, boundary element method and source simulation method) for solving the eddy currents in isotropic medium can be used to calculate the eddy currents with equivalent sources by iteration. The convergence condition of the iterative algorithm is also presented. As certain intermediate results of the calculation for eddy currents in isotropic medium are the same for each iteration, not much extra computation time is required. An example calculating the 3 D eddy current problem in the anisotropic medium is provided.