Magnetic-thermal co-simulation of nonlinear magnetic materials at high frequencies

A coupled magnetic-thermal solver is developed for the modeling and simulation of nonlinear magnetic materials. By adopting a temperature-dependent dynamic hysteresis model, the magnetic loss is characterized and calculated from the solution of Maxwell's equations, which serves as the heat source in the thermal problem. By solving the thermal problem, the temperature shift is obtained and its effect on the magnetic material property can be quantified, which is then coupled back to Maxwell's equations. The resulting coupled magnetic-thermal system can be solved for both the electromagnetic fields and the temperature, and hence, account for both the electromagnetic and the thermal responses in a high-frequency operation.