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

Gangl P, Koethe S, Mellak C, Cesarano A, Muetze A (2022)


Publication Type: Journal article

Publication year: 2022

Journal

DOI: 10.1108/COMPEL-02-2021-0063

Abstract

Purpose This paper aims to deal 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 while keeping low the amount of material used, by means of gradient-based free-form shape optimization. Design/methodology/approach 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. This paper presents an extension of a standard gradient-based free-form shape optimization algorithm to the case of multiple objective functions by determining updates, which represent a descent of all involved criteria. Moreover, this paper illustrates a way to obtain an approximate Pareto front. Findings The presented method allows to obtain optimal designs of arbitrary, non-parametric shape with very low computational cost. This paper validates the 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. Originality/value This paper applies the presented gradient-based multi-objective optimization algorithm in the context of free-form shape optimization using the mathematical concept of shape derivatives. The authors obtain a set of Pareto-optimal designs, each of which is a shape that is not represented by a fixed set of parameters. To the best of the authors' knowledge, this approach to multi-objective free-form shape optimization is novel in the context of electric machines.

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How to cite

APA:

Gangl, P., Koethe, S., Mellak, C., Cesarano, A., & Muetze, A. (2022). Multi-objective free-form shape optimization of a synchronous reluctance machine. Compel-The International Journal For Computation and Mathematics in Electrical and Electronic Engineering. https://dx.doi.org/10.1108/COMPEL-02-2021-0063

MLA:

Gangl, Peter, et al. "Multi-objective free-form shape optimization of a synchronous reluctance machine." Compel-The International Journal For Computation and Mathematics in Electrical and Electronic Engineering (2022).

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