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

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 desi...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization Vol. 65; no. 12
Main Authors: Cherrière, Théodore, Laurent, Luc, Hlioui, Sami, Louf, François, Duysinx, Pierre, Geuzaine, Christophe, Ben Ahmed, Hamid, Gabsi, Mohamed, Fernández, Eduardo
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2022
Springer Nature B.V
Springer Verlag
Springer Science and Business Media Deutschland GmbH
Subjects:
Apexes
Cartesian coordinates
Computational Mathematics and Numerical Analysis
Computer Graphics and Computer-Aided Design
Computer science
Computer Science Applications
Continuation methods
Control and Optimization
Control and Systems Engineering
Density methods
Design
Diamonds
Electrical loads
Electrical machine
Electromagnetism
Engineering
Engineering Design
Engineering Sciences
Engineering, computing & technology
Ingénierie, informatique & technologie
Material properties
Materials and structures in mechanics
Mathematical analysis
Mathematics
Mechanics
Multi materials
Multimaterial topology optimization
Nonlinear magnetostatics
Optimization and Control
Permanent magnets
Permanent magnets synchronous machines
Physics
Polytopes
Rational functions
Research Paper
Sciences informatiques
Shape functions
Software
Stators
Structural mechanics
Synchronous machines
Theoretical and Applied Mechanics
Topology optimisation
Topology optimization
Wachspress’ shape function
Wachspress’ shape functions
Density methods
Multimaterial topology optimization
Nonlinear magnetostatics
Wachspress’ shape functions
Electrical machine
ISSN:1615-147X, 1615-1488, 1615-1488
Online Access:Get full text
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Summary: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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scopus-id:2-s2.0-85142883305
ISSN:1615-147X
1615-1488
1615-1488
DOI:10.1007/s00158-022-03460-1