The Adjoint Variable Method for Computational Electromagnetics

Autor: El Bechari, R. (Reda), Guyomarch, F. (Frédéric), Brisset, S. (Stephane)
Přispěvatelé: Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 (L2EP), Centrale Lille-Université de Lille-Arts et Métiers Sciences et Technologies, HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-JUNIA (JUNIA), Université catholique de Lille (UCL)-Université catholique de Lille (UCL), Université de Lille, Centrale Lille, Arts et Métiers Sciences et Technologies, Junia HEI, Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697, Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP], L2EP - Équipe Outils et Méthodes Numériques [OMN]
Rok vydání: 2022
Předmět:
Zdroj: Mathematics; Volume 10; Issue 6; Pages: 885
Mathematics
Mathematics, 2022, 10 (6), pp.885. ⟨10.3390/math10060885⟩
ISSN: 2227-7390
Popis: International audience; 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.
Databáze: OpenAIRE
Externí odkaz:
Nepřihlášeným uživatelům se plný text nezobrazuje