MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores

The multiscale finite-element method (MSFEM) reduces the computational costs for the simulation of eddy currents (ECs) in laminated iron cores compared with the standard finite-element method (SFEM) essentially. Nevertheless, the complexity of the resulting problem is still too large to solve it conveniently. The idea is to additionally exploit model order reduction (MOR). Snapshots (SNSs) for a reduced basis are cheaply calculated by the MSFEM. Numerical simulations of a small transformer show exceptional performance. This is well demonstrated by the overall EC losses and by the distribution of the magnetic-flux density, both with respect to those obtained by the MSFEM.