Abstract :
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
Keywords :
eddy currents; finite element analysis; nonlinear equations; time-domain analysis; finite element equation systems; nonlinear equations; nonlinear periodic eddy currents; periodic functions; time-domain analysis; Differential equations; Eddy currents; Finite element methods; Frequency domain analysis; Frequency estimation; Nonlinear equations; Sparse matrices; Steady-state; Time domain analysis; Vectors; Eddy currents; nonlinear equations; periodic functions; time-domain analysis;
