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

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