Fixed-point technique in computing nonlinear eddy current problems

Eddy currents are investigated in a ferromagnetic bar exposed to a transverse magnetic field Such an open boundary field problem is analysed applying the Galerkin finite element method coupled with a separation of variables. A steady state is considered, introducing time periodic conditions The resultant system of nonlinear equations is solved using an iterative procedure based on Brouwer's fixed-point theorem referred to the nonlinear material reluctivity. Numerical results are presented for a massive conductor made of cast steel and cast iron. The eddy-current distribution and characteristics of power losses are illustrated in a graphic form.