A Novel MSFEM Approach Based on the A-Formulation for Eddy Currents in Iron Sheets

The multiscale finite-element method (MSFEM) has been shown to be an efficient tool in the simulation of eddy currents in laminated cores. It allows for the accurate simulation of the electric and magnetic fields without needing to resolve the individual steel sheets in the finite-element mesh. This article presents a novel multiscale formulation for the low-frequency case which corrects some shortcomings of the approach used up to now. It enforces more physically accurate continuity and divergence conditions on the solution while also increasing its accuracy. The advantages of the new approach are studied both analytically and by means of a numerical example.