MSFEM With MOR and DEIM to Solve Nonlinear Eddy Current Problems in Laminated Iron Cores

The computational costs to determine the eddy currents (ECs) in nonlinear laminated iron cores could be reduced essentially using multiscale finite element methods (MSFEMs). However, they are still too high for routine tasks in the design of electrical devices. Therefore, this article investigates the feasibility of the MSFEM with model order reduction (MOR) using the discrete empirical interpolation method (DEIM) to facilitate a convenient solution to the nonlinear problem. We propose structure preserving MOR to avoid the known large errors due to applying the DEIM to update the nonlinear right-hand side of the fixed point method. Numerical simulations show very satisfactory results.