A continuum approach in shape design sensitivity analysis of magnetostatic problems using the boundary element method

Author

Koh, Chang-Seop ; Hahn, Song-Yop ; Jung, Hyun-Kyo ; Choi, Kyung

Author_Institution

Dept. of Electr. Eng., Seoul Nat. Univ., South Korea

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1771

Lastpage

1774

Abstract

A novel shape design sensitivity formula for magnetostatic problems is derived analytically using the material derivative concept in continuum mechanics. In order to express the design sensitivity as a function of shape variation only, the adjoint variable is defined. Since the formula is expressed as boundary integration of state and adjoint variables over a deformed boundary, the boundary-element method (BEM) is used to evaluate the variables accurately on the boundary. The proposed algorithm is applied to the pole-shape optimization of a quadrupole magnet, through which the validity is proved

Keywords

boundary-elements methods; electromagnets; magnetostatics; optimisation; sensitivity analysis; BEM; adjoint variable; algorithm; boundary element method; boundary integration; continuum mechanics; deformed boundary; magnetostatic problems; material derivative concept; pole-shape optimization; quadrupole magnet; shape design sensitivity analysis; state variables; Algorithm design and analysis; Boundary element methods; Design optimization; Electromagnetic devices; Equations; Magnetic analysis; Magnetic materials; Magnetostatics; Sensitivity analysis; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250748

Filename

250748