Abstract

This work deals with shape optimization of electric machines using isogeometric analysis. Isogeometric analysis is particularly well suited for shape optimization as it allows to easily modify the geometry without remeshing the domain. A 6-pole interior permanent magnet synchronous machine (IPMSM) is modeled using a multipatch isogeometric approach and rotation of the machine is realized by modeling the stator and rotor domain separately and coupling them at the interface using harmonic basis functions. Shape sensitivity analysis is used to find the shape derivative of the optimization goal functional, i.e., the total harmonic distortion of the electromotive force. This method allows for a freeform shape optimization which is not restricted by a choice of a set of optimization parameters. This freeform shape optimization is applied for the first time to an isogeometric model of an IPMSM minimizing the total harmonic distortion of the electromotive force as a goal functional, where a reduction of 75 % is achieved.

Highlights

  • As a result of the energy transition, the simulation of electromechanical energy converters, in particular electric machines, is becoming increasingly important to obtain efficient and robust designs

  • Numerical optimization based on magnetic equivalent circuits or finite element models has lead to large improvements in the designs of technical applications, e.g., of permanent magnet synchronous machines

  • Promising results have been achieved for the design optimization of electric machines for single and multiobjective optimization problems. These works use parameter based optimization methods to improve the design and behavior of the machines. This contribution deals for the first time with freeform shape optimization of a rotating electrical machine discretized with Isogeometric Analysis (IGA)

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Summary

INTRODUCTION

As a result of the energy transition, the simulation of electromechanical energy converters, in particular electric machines, is becoming increasingly important to obtain efficient and robust designs. Promising results have been achieved for the design optimization of electric machines for single and multiobjective optimization problems (see, e.g., [19, 20, 21]) These works use parameter based optimization methods to improve the design and behavior of the machines. This contribution deals for the first time with freeform shape optimization of a rotating electrical machine discretized with IGA.

MODEL OF THE ELECTRIC MACHINE
OPTIMIZATION
Shape Sensitivity Analysis
SOLUTION OF THE FORWARD PROBLEM BY IGA
NUMERICAL SHAPE OPTIMIZATION
OPTIMIZATION RESULTS
VIII. CONCLUSION
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