Topology optimization of induction heating model using sequential linear programming based on move limit with adaptive relaxation

Author:

Masuda Hiroshi1,Kanda Yutaro1,Okamoto Yoshifumi1,Hirono Kazuki2,Hoshino Reona2,Wakao Shinji2,Tsuburaya Tomonori3

Affiliation:

1. Department of Electrical and Electronic Engineering, Hosei University, Koganei, Tokyo184-8584, Japan

2. Department of Electrical Engineering and Bioscience, Waseda University, Shinjuku, Tokyo169-8555, Japan

3. Department of Electrical Engineering, Fukuoka University, Fukuoka, Fukuoka814-0180, Japan

Abstract

AbstractIt is very important to design electrical machineries with high efficiency from the point of view of saving energy. Therefore, topology optimization (TO) is occasionally used as a design method for improving the performance of electrical machinery under the reasonable constraints. Because TO can achieve a design with much higher degree of freedom in terms of structure, there is a possibility for deriving the novel structure which would be quite different from the conventional structure. In this paper, topology optimization using sequential linear programming using move limit based on adaptive relaxation is applied to two models. The magnetic shielding, in which there are many local minima, is firstly employed as firstly benchmarking for the performance evaluation among several mathematical programming methods. Secondly, induction heating model is defined in 2-D axisymmetric field. In this model, the magnetic energy stored in the magnetic body is maximized under the constraint on the volume of magnetic body. Furthermore, the influence of the location of the design domain on the solutions is investigated.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Reference7 articles.

1. Design of primary core in induction heating roll by 3D magnetic-thermal FE analysis and 2D level-set method;The Papers of Joint Technical Meeting on Static Apparatus,2016

2. Optimal shape design as a material distribution problem;Struct. Optim.,1989

3. Design sensitivity analysis for nonlinear magnetostatic problems using finite element method;IEEE Trans. Magn.,1992

4. The method of moving asymptotes – a new method for structural optimization;Int. J. Numer. Meth. Engng.,1987

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