Improvement of topology optimization method based on level set function in magnetic field problem
ISSN: 0332-1649
Article publication date: 5 March 2018
Abstract
Purpose
The purpose of this paper is the improvement of topology optimization. The scope of the paper is focused on the speedup of optimization.
Design/methodology/approach
To achieve the speedup, the method of moving asymptotes (MMA) with constrained condition of level set function is applied instead of solving the Hamilton–Jacobi equation.
Findings
The acceleration of convergence of objective function is drastically improved by the implementation of MMA.
Originality/value
Normally, the level set method is solved through the Hamilton–Jacobi equation. However, the possibility of introducing mathematical programming is clear by the constrained condition. Furthermore, the proposed method is suitable for efficiently solving the topology optimization problem in the magnetic field system.
Keywords
Acknowledgements
This work was supported by the JSPS (Japan Society for the Promotion of Science) Grant-in-Aid for Scientific Research (C) Grant Number 16K06240.
Citation
Okamoto, Y., Masuda, H., Kanda, Y., Hoshino, R. and Wakao, S. (2018), "Improvement of topology optimization method based on level set function in magnetic field problem", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 37 No. 2, pp. 630-644. https://doi.org/10.1108/COMPEL-12-2016-0528
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited