COMPLEX REPRESENTATION IN NONLINEAR TIME-HARMONIC EDDY-CURRENT PROBLEMS

Several possibilities are presented to deal with nonlinearity in ferro magnetic media in the case of time harmonic excitation in steady state , without loosing simplicity in describing the potentials by means of complex peak values. The main idea is to introduce a fictitious time i ndependent and inhomogeneous material to take into account the nonline ar relationship between the field quantities. Four methods are shown a nd investigated on a 3d time harmonic eddy current problem, using the T,Phi-Phi finite element formulation. The vector potential is represen ted by means of edge elements and the scalar potential by nodal elemen ts. The results obtained are compared with transient computation.