The Adjoint Variable Method for Computational ...
Type de document :
Article dans une revue scientifique: Article original
DOI :
URL permanente :
Titre :
The Adjoint Variable Method for Computational Electromagnetics
Auteur(s) :
El Bechari, Reda [Auteur]
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Guyomarch, Frédéric [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Brisset, Stephane [Auteur]
L2EP - Équipe Outils et Méthodes Numériques [OMN]
Brisset, Stephane [Auteur]

Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Guyomarch, Frédéric [Auteur]

Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Brisset, Stephane [Auteur]
L2EP - Équipe Outils et Méthodes Numériques [OMN]
Brisset, Stephane [Auteur]
Titre de la revue :
Mathematics
Numéro :
10
Pagination :
885
Éditeur :
MDPI
Date de publication :
2022-03
ISSN :
2227-7390
Mot(s)-clé(s) en anglais :
adjoint variable method
electromagnetic modeling
parametric optimization
topology optimization
electromagnetic modeling
parametric optimization
topology optimization
Discipline(s) HAL :
Informatique [cs]/Calcul parallèle, distribué et partagé [cs.DC]
Résumé en anglais : [en]
Optimization using finite element analysis and the adjoint variable method to solve engineering problems appears in various application areas. However, to the best of the authors’ knowledge, there is a lack of detailed ...
Lire la suite >Optimization using finite element analysis and the adjoint variable method to solve engineering problems appears in various application areas. However, to the best of the authors’ knowledge, there is a lack of detailed explanation on the implementation of the adjoint variable method in the context of electromagnetic modeling. This paper aimed to provide a detailed explanation of the method in the simplest possible general framework. Then, an extended explanation is offered in the context of electromagnetism. A discrete design methodology based on adjoint variables for magnetostatics was formulated, implemented, and verified. This comprehensive methodology supports both linear and nonlinear problems. The framework provides a general approach for performing a very efficient and discretely consistent sensitivity analysis for problems involving geometric and physical variables or any combination of the two. The accuracy of the implementation is demonstrated by independent verification based on an analytical test case and using the finite-difference method. The methodology was used to optimize the parameters of a superconducting energy storage device and a magnet press and the optimization of the topology of an electromagnet. The objective function of each problem was successfully decreased, and all constraints stipulated were met.Lire moins >
Lire la suite >Optimization using finite element analysis and the adjoint variable method to solve engineering problems appears in various application areas. However, to the best of the authors’ knowledge, there is a lack of detailed explanation on the implementation of the adjoint variable method in the context of electromagnetic modeling. This paper aimed to provide a detailed explanation of the method in the simplest possible general framework. Then, an extended explanation is offered in the context of electromagnetism. A discrete design methodology based on adjoint variables for magnetostatics was formulated, implemented, and verified. This comprehensive methodology supports both linear and nonlinear problems. The framework provides a general approach for performing a very efficient and discretely consistent sensitivity analysis for problems involving geometric and physical variables or any combination of the two. The accuracy of the implementation is demonstrated by independent verification based on an analytical test case and using the finite-difference method. The methodology was used to optimize the parameters of a superconducting energy storage device and a magnet press and the optimization of the topology of an electromagnet. The objective function of each problem was successfully decreased, and all constraints stipulated were met.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Établissement(s) :
Université de Lille
Centrale Lille
Arts et Métiers Sciences et Technologies
Junia HEI
Centrale Lille
Arts et Métiers Sciences et Technologies
Junia HEI
Équipe(s) de recherche :
Équipe Outils et Méthodes Numériques
Date de dépôt :
2022-05-13T13:49:59Z
2022-05-23T09:45:07Z
2022-05-23T09:45:07Z
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