Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator - Laboratoire de mécanique des structures et des systèmes couplés
Journal Articles Structural and Multidisciplinary Optimization Year : 2022

Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator

François Louf
Christophe Geuzaine

Abstract

This work uses multi-material topology optimization (MMTO) to maximize the average torque of a 3-phase permanent magnet synchronous machine (PMSM). Eight materials are considered in the stator: air, soft magnetic steel, three electric phases, and their three returns. To address the challenge of designing a 3-phase PMSM stator, a generalized density-based framework is used. The proposed methodology places the prescribed material candidates on the vertices of a convex polytope, interpolates material properties using Wachspress shape functions, and defines Cartesian coordinates inside polytopes as design variables. A rational function is used as penalization to ensure convergence towards meaningful structures, without the use of a filtering process. The influences of different polytopes and penalization parameters are investigated. The results indicate that a hexagonal-based diamond polytope is a better choice than the classical orthogonal domains for this MMTO problem. In addition, the proposed methodology yields high-performance designs for 3-phase PMSM stators by implementing a continuation method on the electric load angle.
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Dates and versions

hal-03876090 , version 1 (05-12-2022)

Identifiers

Cite

Théodore Cherrière, Luc Laurent, Sami Hlioui, François Louf, Pierre Duysinx, et al.. Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator. Structural and Multidisciplinary Optimization, 2022, 65 (12), pp.352. ⟨10.1007/s00158-022-03460-1⟩. ⟨hal-03876090⟩
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