Multistage topology optimization of induction heating apparatus in time domain electromagnetic field with magnetic nonlinearity

Hiroshi Masuda, Yoshifumi Okamoto, Shinji Wakao

Research output: Contribution to journalArticle

Abstract

Purpose: The purpose of this paper is to solve efficiently the topology optimization (TO) in time domain problem with magnetic nonlinearity requiring a large-scale finite element mesh. As an actual application model, the proposed method is applied to induction heating apparatus. Design/methodology/approach: To achieve TO with efficient computation time, a multistage topology is proposed. This method can derive the optimum structure by repeatedly reducing the design domain and regenerating the finite element mesh. Findings: It was clarified that the structure derived from proposed method can be similar to the structure derived from the conventional method, and that the computation time can be made more efficient by parameter tuning of the frequency and volume constraint value. In addition, as a time domain induction heating apparatus problem of an actual application model, an optimum topology considering magnetic nonlinearity was derived from the proposed method. Originality/value: Whereas the entire design domain must be filled with small triangles in the conventional TO method, the proposed method requires finer mesh division of only the stepwise-reduced design domain. Therefore, the mesh scale is reduced, and there is a possibility that the computation time for TO can be shortened.

Fingerprint

Induction Heating
Induction heating
Topology Optimization
Shape optimization
Electromagnetic fields
Electromagnetic Fields
Time Domain
Nonlinearity
Mesh
Topology
Finite Element
Tuning
Parameter Tuning
Design Methodology
Optimization Methods
Triangle
Division
Entire
Model
Design

Keywords

  • Design optimization methodology
  • Eddy currents
  • Induction heating
  • Magnetic nonlinearity
  • Skin effect
  • Topology optimization

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering
  • Applied Mathematics

Cite this

@article{b5ee433498a542edbfed10b7f3e4f3b2,
title = "Multistage topology optimization of induction heating apparatus in time domain electromagnetic field with magnetic nonlinearity",
abstract = "Purpose: The purpose of this paper is to solve efficiently the topology optimization (TO) in time domain problem with magnetic nonlinearity requiring a large-scale finite element mesh. As an actual application model, the proposed method is applied to induction heating apparatus. Design/methodology/approach: To achieve TO with efficient computation time, a multistage topology is proposed. This method can derive the optimum structure by repeatedly reducing the design domain and regenerating the finite element mesh. Findings: It was clarified that the structure derived from proposed method can be similar to the structure derived from the conventional method, and that the computation time can be made more efficient by parameter tuning of the frequency and volume constraint value. In addition, as a time domain induction heating apparatus problem of an actual application model, an optimum topology considering magnetic nonlinearity was derived from the proposed method. Originality/value: Whereas the entire design domain must be filled with small triangles in the conventional TO method, the proposed method requires finer mesh division of only the stepwise-reduced design domain. Therefore, the mesh scale is reduced, and there is a possibility that the computation time for TO can be shortened.",
keywords = "Design optimization methodology, Eddy currents, Induction heating, Magnetic nonlinearity, Skin effect, Topology optimization",
author = "Hiroshi Masuda and Yoshifumi Okamoto and Shinji Wakao",
year = "2019",
month = "1",
day = "1",
doi = "10.1108/COMPEL-10-2018-0386",
language = "English",
journal = "COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering",
issn = "0332-1649",
publisher = "Emerald Group Publishing Ltd.",

}

TY - JOUR

T1 - Multistage topology optimization of induction heating apparatus in time domain electromagnetic field with magnetic nonlinearity

AU - Masuda, Hiroshi

AU - Okamoto, Yoshifumi

AU - Wakao, Shinji

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Purpose: The purpose of this paper is to solve efficiently the topology optimization (TO) in time domain problem with magnetic nonlinearity requiring a large-scale finite element mesh. As an actual application model, the proposed method is applied to induction heating apparatus. Design/methodology/approach: To achieve TO with efficient computation time, a multistage topology is proposed. This method can derive the optimum structure by repeatedly reducing the design domain and regenerating the finite element mesh. Findings: It was clarified that the structure derived from proposed method can be similar to the structure derived from the conventional method, and that the computation time can be made more efficient by parameter tuning of the frequency and volume constraint value. In addition, as a time domain induction heating apparatus problem of an actual application model, an optimum topology considering magnetic nonlinearity was derived from the proposed method. Originality/value: Whereas the entire design domain must be filled with small triangles in the conventional TO method, the proposed method requires finer mesh division of only the stepwise-reduced design domain. Therefore, the mesh scale is reduced, and there is a possibility that the computation time for TO can be shortened.

AB - Purpose: The purpose of this paper is to solve efficiently the topology optimization (TO) in time domain problem with magnetic nonlinearity requiring a large-scale finite element mesh. As an actual application model, the proposed method is applied to induction heating apparatus. Design/methodology/approach: To achieve TO with efficient computation time, a multistage topology is proposed. This method can derive the optimum structure by repeatedly reducing the design domain and regenerating the finite element mesh. Findings: It was clarified that the structure derived from proposed method can be similar to the structure derived from the conventional method, and that the computation time can be made more efficient by parameter tuning of the frequency and volume constraint value. In addition, as a time domain induction heating apparatus problem of an actual application model, an optimum topology considering magnetic nonlinearity was derived from the proposed method. Originality/value: Whereas the entire design domain must be filled with small triangles in the conventional TO method, the proposed method requires finer mesh division of only the stepwise-reduced design domain. Therefore, the mesh scale is reduced, and there is a possibility that the computation time for TO can be shortened.

KW - Design optimization methodology

KW - Eddy currents

KW - Induction heating

KW - Magnetic nonlinearity

KW - Skin effect

KW - Topology optimization

UR - http://www.scopus.com/inward/record.url?scp=85065651050&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065651050&partnerID=8YFLogxK

U2 - 10.1108/COMPEL-10-2018-0386

DO - 10.1108/COMPEL-10-2018-0386

M3 - Article

JO - COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

JF - COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

SN - 0332-1649

ER -