Lumped low-order time-domain model of eddy current effects in laminated cores

Issue title: Special Volume: Proceedings of the eleventh International Symposium on Applied Electromagnetics and Mechanics ISEM-Versailles ISEM 03

Article type: Research Article

Authors: Gyselinck, Johan^{a; *} | Dular, Patrick^a

Affiliations: [a] Department of Electrical Engineering, University of Liège, Sart Tilman Campus, 4000 Liège, Belgium. Tel.: +32 366 37 32; Fax: +32 366 29 10; E-mail: {johan.gyselinck, patrick.dular, wlegros}@ulg.ac.be

Correspondence: [*] Corresponding author

Abstract: The authors present a novel lumped model for laminated cores considering the 1D eddy current problem in a conducting ferromagnetic lamination. The model is based on a polynomial spatial expansion of the induction and the magnetic field throughout the thickness of the lamination, of order n and n+2 respectively, such that the governing partial differential equation is satisfied (for any n≥0). The magnetic constitutive law is weakly imposed, leading to a system of 1+n/2 nonlinear differential equations. The method is elaborated and validated for both the linear and the nonlinear case. A fast convergence towards the exact solution (n=∞) is observed when increasing n.

Keywords: laminated core, eddy currents, skin effect, finite element method

DOI: 10.3233/JAE-2004-577

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 19, no. 1-4, pp. 281-285, 2004