Iron Archives - IEEE Transactions on Magnetics

Effective Medium Transformation: The Case of Eddy Currents in Laminated Iron Cores

September 1, 2021Markus Schöbinger, Igor Tsukerman and Karl HollausJournalEddy currents, Geometry, Iron, Magnetic cores, Magnetostatics, Mathematical model, Permeability

Effective medium theory replaces a given fine-scale heterostructure with a homogeneous one in such a way that the physically measurable quantities, e.g., reaction fields and losses, remain approximately the same. This article presents a peculiar case where the physical nature of the problem and the type of governing mathematical equations change upon homogenization. We consider […]

An Equilibrated Error Estimator for the Multiscale Finite Element Method of a 2-D Eddy Current Problem

The multiscale finite element method (MSFEM) is a valuable tool to solve the eddy current problem in laminated materials consisting of many iron sheets, which would be prohibitively expensive to resolve in a finite element mesh. It allows using a coarse mesh that does not resolve each sheet and constructs the local fields using predefined […]