Topology optimization using M-SIMP approach to design electromagnetic structures

•Optimal Design problems of Electromagnetic structures are inverse problems.•M-SIMP approach is suitable for optimal design of materials and sources.•ATOP, equipped with M-SIMP model, was used for designing a Hall Effect Thruster. This paper proposes Topology Optimization (TO) method to solve design...

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Vydané v:Applied mathematical modelling Ročník 151; s. 116521
Hlavní autori: SANOGO, Satafa, MESSINE, Frédéric, HENAUX, Carole
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Inc 01.03.2026
Predmet:
Adjoint variable method
Hall effect thrusters
Inverse problem
M-SIMP Method
Topology optimization
35R30
90C11
78M50
M-SIMP Method
Topology optimization
Adjoint variable method
Hall effect thrusters
Inverse problem
ISSN:0307-904X
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Popis
Shrnutí:•Optimal Design problems of Electromagnetic structures are inverse problems.•M-SIMP approach is suitable for optimal design of materials and sources.•ATOP, equipped with M-SIMP model, was used for designing a Hall Effect Thruster. This paper proposes Topology Optimization (TO) method to solve design problems of ElectroMagnetic Structures (EMS). In particular, we are interested in the design of Hall Effect Thrusters (HET), which are devices used to move satellites (for telecommunication and deep space travels). In fact, HET design problems involve to inverse problems, where the purpose is to find both optimal source distribution and the best material layout in the topological variable region. Thus, they are formulated as Non-Linear Mixed Integer Optimization Models subject to PDE constraints. We apply Adjoint Variable Method (AVM) to compute analytically the derivative of the objective function. That first order information is useful for gradient based algorithm. For the numerical computation of the solutions, a material density-based approach named Mixed-Solid Isotropic Material with Penalization (M-SIMP). The M-SIMP model is most suitable to handle efficiently a multi-material design problem of EMS. These works allow to improve a previously developed source code ATOPTO (Algorithm To Optimize Propulsion with Topology Optimization method) for optimal design for magnetic circuits of electrical thrusters. Some numerical examples related to the topological configuration of the Hall Effect Thruster (HET) are shown and solved with our proposed method. That validated our approaches for designing HET.
ISSN:0307-904X
DOI:10.1016/j.apm.2025.116521