Nonlinear shape design sensitivity analysis of magnetostatic problems using boundary element method

Author

Koh, Chang Seop ; Mohammed, Osama A. ; Hahn, Song-Yop

Author_Institution

Dept. of Electr. & Comput. Eng., Florida Int. Univ., Miami, FL, USA

Volume

31

Issue

3

fYear

1995

fDate

5/1/1995 12:00:00 AM

Firstpage

1944

Lastpage

1947

Abstract

A design sensitivity analysis is extended to cover the nonlinear magnetostatic problems. The formula is derived using material derivative as boundary integrals of the state and adjoint variables over the deformable boundary. A solution scheme for nonlinear state and adjoint equations using boundary element method is also presented to get accurate sensitivity coefficients. And a normalizing scheme for the pointwise sensitivity coefficients are proposed to avoid zig-zag shapes during optimization

Keywords

boundary integral equations; boundary-elements methods; magnetostatics; sensitivity analysis; adjoint variables; boundary element method; boundary integrals; deformable boundary; design sensitivity analysis; nonlinear magnetostatic problems; nonlinear shape; normalizing scheme; pointwise sensitivity coefficients; sensitivity coefficients; Artificial intelligence; Boundary element methods; Design engineering; Design methodology; Finite element methods; Integral equations; Magnetic materials; Magnetostatics; Sensitivity analysis; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.376421

Filename

376421