English

Multi-objective free-form shape optimization of a synchronous reluctance machine

Computational Engineering, Finance, and Science 2026-04-01 v1 Optimization and Control

Abstract

This paper deals with the design optimization of a synchronous reluctance machine to be used in an X-ray tube, where the goal is to maximize the torque, by means of gradient-based free-form shape optimization. The presented approach is based on the mathematical concept of shape derivatives and allows to obtain new motor designs without the need to introduce a geometric parametrization. We validate our results by comparing them to a parametric geometry optimization in JMAG by means of a stochastic optimization algorithm. While the obtained designs are of similar shape, the computational time used by the gradient-based algorithm is in the order of minutes, compared to several hours taken by the stochastic optimization algorithm. Finally, we show an extension of the free-form shape optimization algorithm to the case of multiple objective functions and illustrate a way to obtain an approximate Pareto front.

Keywords

Cite

@article{arxiv.2010.10117,
  title  = {Multi-objective free-form shape optimization of a synchronous reluctance machine},
  author = {Peter Gangl and Stefan Köthe and Christiane Mellak and Alessio Cesarano and Annette Mütze},
  journal= {arXiv preprint arXiv:2010.10117},
  year   = {2026}
}

Comments

6 pages, 7 figures, proceedings to IGTE Symposium Graz 2020

R2 v1 2026-06-23T19:28:50.774Z