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Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator
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Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator
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Journal Article
Multi-material topology optimization using Wachspress interpolations for designing a 3-phase electrical machine stator
2022
Overview
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.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,Springer Verlag,Springer Science and Business Media Deutschland GmbH
Subject
/ Computational Mathematics and Numerical Analysis
/ Computer Graphics and Computer-Aided Design
/ Computer Science Applications
/ Control and Systems Engineering
/ Design
/ Diamonds
/ Engineering, computing & technology
/ Ingénierie, informatique & technologie
/ Materials and structures in mechanics
/ Multimaterial topology optimization
/ Permanent magnets synchronous machines
/ Physics
/ Software
/ Stators
