A Higher Order Multi-Scale FEM With for 2-D Eddy Current Problems in Laminated Iron

The simulation of eddy currents in laminated iron cores by the finite element method (FEM) is of great interest in the design of electrical machines and transformers. The overall dimensions of an iron core and the thickness of the laminates are very different. An FE model, which considers each laminate, requires many FEs leading to extremely large systems of equations and prohibitively high-computational costs. An efficient and arbitrarily accurate approximation of the main magnetic flux, which is parallel to the laminates, across the lamination with penetration depths significantly smaller than the thickness of the laminates is the focus of this paper. A higher order multi-scale FEM has been developed. Material properties are assumed to be non-linear. Numerical simulations demonstrate the excellent accuracy and very low computational costs.