A Fast Fixed-Point Method for Solving Magnetic Field Problems in Media of Hysteresis

The paper proposes a new fixed-point method for solving time-stepping hysteretic field problems. The method is aimed to speed up the convergence of the fixed-point solution and enhance the applicability of the fixed-point iteration. The method makes use of the differential reluctivity and produces a locally convergent solution. A 1-D finite-element procedure is performed to test the method by computing the magnetic field in a ferromagnetic laminated steel. The efficiency, stability, and applicability of the method are assessed in which the method is proven simple and remarkably fast.