The Adjoint Variable Method for Computational Electromagnetics

El Bechari, Reda; Guyomarch, Frédéric; Brisset, Stephane; Brisset, Stephane

Document type :

Article dans une revue scientifique: Article original

DOI :

10.3390/math10060885

Permalink :

http://hdl.handle.net/20.500.12210/74332

Title :

The Adjoint Variable Method for Computational Electromagnetics

Author(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]

Journal title :

Mathematics

Volume number :

Pages :

885

Publisher :

MDPI

Publication date :

2022-03

ISSN :

2227-7390

English keyword(s) :

adjoint variable method
electromagnetic modeling
parametric optimization
topology optimization

HAL domain(s) :

Informatique [cs]/Calcul parallèle, distribué et partagé [cs.DC]

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Administrative institution(s) :

Université de Lille
Centrale Lille
Arts et Métiers Sciences et Technologies
Junia HEI

Collections :

Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697

Research team(s) :

Équipe Outils et Méthodes Numériques

Submission date :

2022-05-13T13:49:59Z
2022-05-23T09:45:07Z

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Except where otherwise noted, this item's license is described as Attribution 3.0 United States

Version	Link	Modification date
2	20.500.12210/74332*	2022-05-23T09:35:56Z
1	20.500.12210/74332.1	2022-05-13T13:49:59Z

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