The inverse electromagnetic shaping problem

Alfredo Canelas 1 Jean Rodolphe Roche 2, 3 José Herskovits 4
3 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : The inverse problem concerning electromagnetic casting of molten metals consists of looking for an electric current density distribution such that the induced electromagnetic field makes a given mass of liquid metal acquire a predefined shape. This problem is formulated here as an optimization problem where the positions of a finite set of inductors are the design variables. Two different formulations for this optimization problem for the two-dimensional case are proposed. The first one minimizes the difference between the target and the equilibrium shapes while the second approach minimizes the L 2 norm of a fictitious surface pressure that makes the target shape to be in mechanical equilibrium. The optimization problems are solved using Feasible Arc Interior Point Algorithm, a line search interior-point algorithm for nonlinear optimization. Some examples are presented to show the effectiveness of the proposed approaches.
Type de document :
Article dans une revue
Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2009, 38 (4), pp.389-403. 〈10.1007/s00158-008-0285-9〉
Liste complète des métadonnées

https://hal.inria.fr/inria-00589958
Contributeur : Jean Rodolphe Roche <>
Soumis le : lundi 2 mai 2011 - 23:18:34
Dernière modification le : mercredi 14 mars 2018 - 16:44:25

Lien texte intégral

Identifiants

Citation

Alfredo Canelas, Jean Rodolphe Roche, José Herskovits. The inverse electromagnetic shaping problem. Structural and Multidisciplinary Optimization, Springer Verlag (Germany), 2009, 38 (4), pp.389-403. 〈10.1007/s00158-008-0285-9〉. 〈inria-00589958〉

Partager

Métriques

Consultations de la notice

131