Power formulation for the optimal control of an industrial induction heating process for thixoforming

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

Article type: Research Article

Authors: Masserey, Alexandre^a | Rappaz, Jacques^a | Rozsnyo, Roland^{a; *} | Touzani, Rachid^b

Affiliations: [a] École Polytechnique Fédérale de Lausanne, Institut de Mathématiques, 1015 Lausanne, Switzerland. Tel.: +41 (0)21 693 2733; Fax: +41 (0)21 693 4303; E-mail: {alexandre.masserey, jacques.rappaz, roland.rozsnyo}@epfl.ch | [b] Laboratoire de Mathématiques Appliquées - CNRS / UMR 6620, Université Blaise Pascal de Clermont-Ferrand II, 63177 Aubière Cedex, France. Tel.: +33 (0)47 340 7706; Fax: +33 (0)47 340 7064; E-mail: Rachid.Touzani@math.univ-bpclermont.fr

Correspondence: [*] Corresponding author. Tel.: +41 (0)21 693 4234; Fax: +41 (0)21 693 4303; E-mail: roland.rozsnyo@epfl.ch

Abstract: We present an extension of a 2D cartesian electromagnetic and thermal model to achieve the optimal control of an industrial induction heating system. The control variables are the frequency and the power. We explain how to derive the discrete optimal control algorithm and show the numerical results we obtained for a specific case.

Keywords: electromagnetism, frequency, power, optimal control, optimization

DOI: 10.3233/JAE-2004-535

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 19, no. 1-4, pp. 51-56, 2004