Adjoint-Based Design of 3D Magnetic Circuits with Nonlinear Materials: Application of the Magnetic Moment Method

This article aims to present a topology optimization method based on volume integral equations and gradient computation using the adjoint method. The approach was developed for designing three-dimensional magnetic circuits involving nonlinear ferromagnetic materials. A detailed formulation of the method is provided, and numerical results for simple designs are presented.

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Publication Details

Journal
IEEE Transactions on Magnetics
Published
2025-01-01
DOI
https://doi.org/10.1109/tmag.2025.3627291
Primary Topic
Topology Optimization in Engineering
Type
article
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article

Adjoint-Based Design of 3D Magnetic Circuits with Nonlinear Materials: Application of the Magnetic Moment Method

Sébastien Michel, Frédéric Messine, Jean-René Poirier
IEEE Transactions on Magnetics
Topology Optimization in Engineering
article

Adjoint-Based Design of 3D Magnetic Circuits with Nonlinear Materials: Application of the Magnetic Moment Method

Sébastien Michel, Frédéric Messine, Jean-René Poirier
article en

Abstract

This article aims to present a topology optimization method based on volume integral equations and gradient computation using the adjoint method. The approach was developed for designing three-dimensional magnetic circuits involving nonlinear ferromagnetic materials. A detailed formulation of the method is provided, and numerical results for simple designs are presented.

IEEE Transactions on Magnetics
Centre National de la Recherche Scientifique (FR), Institut National Polytechnique de Toulouse (FR), Laboratoire Plasma et Conversion d'Energie (FR), École Nationale Supérieure d'Électrotechnique, d'Électronique, d'Informatique, d'Hydraulique et des Télécommunications (FR)
Openalex Percentile: Top 67%
Topology Optimization in Engineering
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Adjoint-Based Design of 3D Magnetic Circuits with Nonlinear Materials: Application of the Magnetic Moment Method — Sébastien Michel, Frédéric Messine, et al. · IEEE Transactions on Magnetics (2025) | TGRS Research Map | TGRS