Derivation of a general sensitivity formula for shape optimization of 2-D magnetostatic systems by continuum approach

Author

Kim, Dong-Hun ; Lee, Se-Hee ; Park, Il-Han ; Lee, Joon-Ho

Author_Institution

Sch. of Electr. & Comput. Eng., Sung Kyun Kwan Univ., Suwon, South Korea

Volume

38

Issue

2

fYear

2002

fDate

3/1/2002 12:00:00 AM

Firstpage

1125

Lastpage

1128

Abstract

This paper presents a generalized sensitivity formula that is applicable to any objective function of the optimization problems in two-dimensional (2-D) linear magnetostatic systems. For the objective function defined on an interface boundary as well as in a region, the shape design sensitivity expression is derived in a closed form from the augmented Lagrangian method, the material derivative concept and the adjoint variable method. The resultant sensitivity formula is expressed as a line integral along the interface boundary undergoing shape modification. Three shape design problems, whose objective functions are defined on an interface boundary or in a region, are tested to validate the derived sensitivity formula

Keywords

boundary integral equations; magnetostatics; optimisation; sensitivity analysis; 2-D linear magnetostatic systems; adjoint variable method; augmented Lagrangian method; continuum approach; generalized sensitivity formula; interface boundary; line integral; material derivative concept; objective function; shape design sensitivity expression; shape optimization; Design methodology; Design optimization; Integral equations; Lagrangian functions; Magnetic materials; Magnetostatics; Numerical analysis; Sensitivity analysis; Shape; Two dimensional displays;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.996288

Filename

996288