Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator Article - Novembre 2022

Théodore Cherrière, Luc Laurent, Sami Hlioui, François Louf, Pierre Duysinx, Christophe Geuzaine, Hamid Ben Ahmed, Mohamed Gabsi, Eduardo Fernández

Théodore Cherrière, Luc Laurent, Sami Hlioui, François Louf, Pierre Duysinx, Christophe Geuzaine, Hamid Ben Ahmed, Mohamed Gabsi, Eduardo Fernández, « Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator  », Structural and Multidisciplinary Optimization, novembre 2022, p. 352. ISSN 1615-147X

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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