A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach

A method to optimize the topology of hard as well as soft magnetic structures is implemented using the density approach for topology optimization. The stray field computation is performed by a hybrid finite element–boundary element method. Utilizing the adjoint approach the gradients necessary to pe...

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Autores principales: Wautischer, Gregor, Abert, Claas, Bruckner, Florian, Slanovc, Florian, Suess, Dieter
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8782837/
https://www.ncbi.nlm.nih.gov/pubmed/35064136
http://dx.doi.org/10.1038/s41598-021-04246-z
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author Wautischer, Gregor
Abert, Claas
Bruckner, Florian
Slanovc, Florian
Suess, Dieter
author_facet Wautischer, Gregor
Abert, Claas
Bruckner, Florian
Slanovc, Florian
Suess, Dieter
author_sort Wautischer, Gregor
collection PubMed
description A method to optimize the topology of hard as well as soft magnetic structures is implemented using the density approach for topology optimization. The stray field computation is performed by a hybrid finite element–boundary element method. Utilizing the adjoint approach the gradients necessary to perform the optimization can be calculated very efficiently. We derive the gradients using a “first optimize then discretize” scheme. Within this scheme, the stray field operator is self-adjoint allowing to solve the adjoint equation by the same means as the stray field calculation. The capabilities of the method are showcased by optimizing the topology of hard as well as soft magnetic thin film structures and the results are verified by comparison with an analytical solution.
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spelling pubmed-87828372022-01-24 A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach Wautischer, Gregor Abert, Claas Bruckner, Florian Slanovc, Florian Suess, Dieter Sci Rep Article A method to optimize the topology of hard as well as soft magnetic structures is implemented using the density approach for topology optimization. The stray field computation is performed by a hybrid finite element–boundary element method. Utilizing the adjoint approach the gradients necessary to perform the optimization can be calculated very efficiently. We derive the gradients using a “first optimize then discretize” scheme. Within this scheme, the stray field operator is self-adjoint allowing to solve the adjoint equation by the same means as the stray field calculation. The capabilities of the method are showcased by optimizing the topology of hard as well as soft magnetic thin film structures and the results are verified by comparison with an analytical solution. Nature Publishing Group UK 2022-01-21 /pmc/articles/PMC8782837/ /pubmed/35064136 http://dx.doi.org/10.1038/s41598-021-04246-z Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Wautischer, Gregor
Abert, Claas
Bruckner, Florian
Slanovc, Florian
Suess, Dieter
A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach
title A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach
title_full A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach
title_fullStr A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach
title_full_unstemmed A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach
title_short A topology optimization algorithm for magnetic structures based on a hybrid FEM–BEM method utilizing the adjoint approach
title_sort topology optimization algorithm for magnetic structures based on a hybrid fem–bem method utilizing the adjoint approach
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8782837/
https://www.ncbi.nlm.nih.gov/pubmed/35064136
http://dx.doi.org/10.1038/s41598-021-04246-z
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