Journal
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
Volume 65, Issue 12, Pages -Publisher
SPRINGER
DOI: 10.1007/s00158-022-03460-1
Keywords
Density methods; Electrical machine; Multimaterial topology optimization; Nonlinear magnetostatics; Wachspress' shape functions
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This study utilizes multi-material topology optimization to maximize the torque of a 3-phase permanent magnet synchronous machine, presenting a rational function penalty for meaningful structure convergence. Results show that a hexagonal-based diamond polytope is a better choice for this problem.
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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