Topology optimisation of a 3D electromagnetic device using the SIMP density-based method

Mohamodhosen, Bilquis; Gillon, F.; Tounzi, A.; Chevallier, L.; Korecki, Julien

doi:10.1109/cefc.2016.7816001

Cited by 5 publications

(10 citation statements)

References 2 publications

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“…In the literature, we can find multiple ways of modeling. For example, the density method uses a polynomial mapping for the parameterization [24].…”

Section: Permeabilitymentioning

confidence: 99%

The Adjoint Variable Method for Computational Electromagnetics

2022

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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.

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“…In the literature, we can find multiple ways of modeling. For example, the density method uses a polynomial mapping for the parameterization [24].…”

Section: Permeabilitymentioning

confidence: 99%

The Adjoint Variable Method for Computational Electromagnetics

2022

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“…Nevertheless, the process is simplified here to put forward the main points useful to TO in this paper. The tool configuration is convenient to test different FE models and optimisation algorithms easily (Mohamodhosen et al, 2016).…”

Section: Topology Optimisation Toolsmentioning

confidence: 99%

Topology optimisation using nonlinear behaviour of ferromagnetic materials

Mohamodhosen

Gillon

Tounzi

et al. 2018

COMPEL

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Purpose The purpose of this paper is to propose a methodology to seek the optimal topology of electromagnetic devices using the density method while taking into account the non-linear behaviour of ferromagnetic materials. The tools and methods used are detailed and applied to a three-dimensional (3D) electromagnet for analysis and validation. Resulting topologies with and without the non-linear behaviour are investigated. Design/methodology/approach The polynomial mapping is used with the density method for material distribution in the optimisation domain. To consider the non-linear behaviour of the materials, an analytical approximation based on the Marrocco equation is used and combined with the polynomial mapping to solve the problem. Furthermore, to prevent the occurrence of intermediate materials, a weighted sum of objectives is used in the optimisation problem to eliminate these undesired materials. Findings Taking into account the non-linear materials behaviour and 3D model during topology optimisation (TO) is important, as it produces more physically feasible and coherent results. Moreover, the use of a weighted sum of objectives to eliminate intermediate materials increases the number of evaluations to reach the final solution, but it is efficient. Practical implications Considering non-linear materials behaviour yields results closer to reality, and physical feasibility of structures is more obvious in absence of intermediate materials. Originality/value This work tackles an obstacle of TO in electromagnetism which is often overlooked in literature, that is, non-linear behaviour of ferromagnetic materials by proposing a methodology.

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“…This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see https://creativecommons.org/licenses/by/4.0/ and others [31]. The main advantage of TO is that it can lead to novel structures, but it is limited by the predefined investigation area.…”

Section: Introductionmentioning

confidence: 99%

“…The interest of this work is to find a design guideline for the ferrite distribution that maximizes the transmission efficiency, while constraining the volume of the ferrite plate, obtaining a light and cost-effective IPT system. TO with SIMP method is the most commonly used one due to its easy and intuitive implementation [29], [31], and it is adopted to generate different ferrite structures in two situations (without a shielding aluminum plate above the receiver [22], and with a shielding aluminum plate above the receiver [23]). The system has been previously studied in our lab by coupling optimization algorithms with the sparse PCE technique.…”

Section: Introductionmentioning

confidence: 99%

SIMP-Method Topology Optimization of Ferrite Structures in Inductive Power Transfer Systems

Pei,

Pichon,

Bihan

et al. 2023

IEEE Trans. Electromagn. Compat.

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This article demonstrates the interest of topology optimization in designing the ferrite plate used in an inductive power transfer system for electric vehicles. The solid isotropic material with the penalization (SIMP) method is used to optimize the ferrite plate, and it modifies the topology of the ferrite shape iteratively. This SIMP method can lead to novel structures compared with usual existing shapes. In this article, it is found that a part of the ferrite from the center and the edges of the predefined ferrite plate can be removed to save the ferrite volume while achieving a minimal reduction of transmission efficiency. Moreover, the results from topology optimization are influenced by the aluminum shielding plate near the ferrite plate. Hence, the ferrite on the receiver side has to be larger than the one on the transmitter side. These results give some design guidelines on arranging the ferrite placement for the system, and the approach could be generalized for shielding sheets/walls.

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Topology optimisation of a 3D electromagnetic device using the SIMP density-based method

Cited by 5 publications

References 2 publications

The Adjoint Variable Method for Computational Electromagnetics

The Adjoint Variable Method for Computational Electromagnetics

Topology optimisation using nonlinear behaviour of ferromagnetic materials

SIMP-Method Topology Optimization of Ferrite Structures in Inductive Power Transfer Systems

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