Improved Crank-Nicolson method for modelling diffusion of electromagnetic fields in hysteretic soft magnetic laminations

This paper studies the use of time stepping methods to integrate the equations which model the magnetodynamic fields in ferromagnetic laminations. A new high-order time stepping method is compared to well-known time stepping methods (Euler, Crank Nicolson, ...) for a diffusion problem of electromagnetic fields in magnetic laminations with hysteresis. For validation purposes, firstly a theoretical problem with analytical solution is solved. Afterwards, more realistic problems are studied. As the presented method is A-stable, accurate numerical loops can be computed, even in the case of hysteresis effects.