A Stepped Nonlinear Solver for Nonlinear Magnetic Materials With Hysteresis

A stepped nonlinear solution method based on differential susceptibility is presented for the quasi-magnetostatic analysis of nonlinear magnetic materials. The stepped solver is applicable to hysteretic materials and supports a permanent magnetization. A locally corrected Nystrom discretization of the magnetostatic volume integral equation is used to implement the stepped solver. Characterization of the stepped solver is performed using various magnetic material models which support hysteresis. Solver accuracy is validated using Team Workshop Problem 13, analytic results of a magnetic sphere with hysteresis, and against measured data for a hollow steel pipe.