Multi-objective topology optimization of a permanent magnet machine to reduce electromagnetic losses and cogging torque
Issue title: Special Supplement Issue: Selected papers from the 13th International Workshop on Optimization and Inverse Problems in Electromagnetism (OIPE 2014)
Affiliations: [a] Chair of Applied Mathematics and Numerical Analysis, Bergische Universität Wuppertal, Wuppertal, Germany | [b] Department of Power Systems and Electrical Drives, West Pomeranian University of Technology in Szczecin, Poland | [c] Institute for Mathematics and Computer Science, Ernst-Moritz-Arndt-Universität Greifswald, Germany
Correspondence:
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Corresponding author: Piotr Putek, Lehrstuhl für Angewandte Mathematik & Numerische Analysis, Bergische Universität Wuppertal, Gaußstraße 20, D-42119 Wuppertal, Germany. E-mail:putek@math.uni-wuppertal.de
Abstract: This paper proposes the multi-objective topology optimization of an Electrically Controlled Permanent-Magnet Synchronous Machine (ECPMSM)
using the Level Set Method (LSM) and the Weighted Average Method (WAM) in order to reduce both the electromagnetic losses and the
Cogging Torque (CT). Additionally, the back-electromotive force (the back-EMF) is approximately taken into account in the optimization process. For a shape sensitivity of a cost functional we elaborate the Continuum Design Sensitivity Analysis (CDSA). Our main contribution is to formulate and provide the solution to the nonlinear magnetoquasistatic interface problem. Simulation outcomes show that the applied method leads to a significant reduction of the losses and of the CT and, additionally, minimizes the higher harmonics in the back-EMF.
Keywords: Shape and topology optimization, weighted average method, level set method, electromagnetic losses, cogging torque, back-EMF, continuum design sensitivity analysis
