An efficient time domain method for nonlinear periodic eddy current problems

A time-domain method is presented yielding the periodic steady-state solution of nonlinear eddy current problems without having to step through the transient process. A novel technique is introduced which, under periodic conditions, in the linear case, decouples the finite element equation systems written for different time steps. Thereupon, a fixed point method is used to iteratively solve the nonlinear equations. The resulting procedure retains the decoupling property valid in the linear case, therefore, it suffices to step through one period only. The efficiency of the method is illustrated by two two-dimensional examples