Eur. Phys. J. Appl. Phys. (2013) 64: 24517
https://doi.org/10.1051/epjap/2013120451

2D and 3D homogenization of laminated cores in the frequency domain^*

¹ Grenoble Electrical Engineering Laboratory, Grenoble-INP/UJF/CNRS/ENSE3, BP046, 38402 Grenoble, France
² Cedrat, 15 Chemin de Malacher, Inovallée, Meylan Cedex, France

^a e-mail: kf.wagane@gmail.com

Received: 8 October 2012
Revised: 22 February 2013
Accepted: 3 October 2013
Published online: 8 November 2013

Abstract

This paper presents 2D and 3D homogenization techniques for laminated iron cores in the frequency domain. In 2D, two approaches (analytical and numerical) are compared in terms of complex reluctivity considering tangential magnetic field to laminations. The analytical approach is generalized to 3D problems. The validation performed on homogenized block gives satisfactory results only in case of closed-core or thin air gap open-core. Thus, we have a correct approximation only when the magnetic field is essentially parallel to laminations. In order to remediate the poor approximation of losses due to non parallel magnetic field component and model large air gap devices, we propose an alternative to block homogenization. A validation is done on a laminated open-core inductance.