An energy-based error criterion for eddy current analysis

Issue title: Selected Papers from the 14th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2009), Part I

Article type: Research Article

Authors: Rondot, Loïc^{a; *} | Mazauric, Vincent^b | Ladas, Dimitrios^b

Affiliations: [a] CEDRAT, 15 Chemin de Malacher, 38450 Meylan Cedex, France | [b] Schneider Electric, Strategy and Innovation, 37 Quai Paul Louis Merlin, 38050 Grenoble Cedex 9, France

Correspondence: [*] Corresponding author. Tel.: +33 (0)4 76 90 50 45; Fax: +33 (0)4 56 38 08 30; E-mail: [email protected]

Abstract: In order to improve the finite element modeling of macroscopic eddy currents, a quadratic energy-based error criterion is derived from a thermodynamic description of electromagnetism. While the conservation of the electromagnetic power is assessed locally to highlight the ill-checked elements, the state functions provide the global convergence of the calculation within an adaptative procedure. The criterion is shown: suitable for 2D and 3D, independent of the formulation, supporting the body motion. A validation is given on a Thomson's effect device.

Keywords: Electromagnetism, eddy currents, error criterion, finite element method

DOI: 10.3233/JAE-2010-1130

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 33, no. 1-2, pp. 329-333, 2010