Design sensitivity analysis for nonlinear magnetostatic problems using finite element method

Author

Park, II-Han ; Lee, Beom-taek ; Hahn, Song-Yop

Author_Institution

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

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1533

Lastpage

1536

Abstract

The authors present a sensitivity analysis for the shape design problems of a two-dimensional nonlinear magnetostatic system. In order to derive the design sensitivity, the algebraic equation resulting from the finite element method is exploited and the adjoint variable method is used. This algorithm is applied to the shape design problem of a quadrupole magnet which operates in the magnetic saturation region. Numerical results validate the algorithm. The optimal pole shape with a tolerable deviation is obtained after several iterations

Keywords

finite element analysis; magnetostatics; sensitivity analysis; adjoint variable method; algebraic equation; finite element method; magnetic saturation region; nonlinear magnetostatic problems; optimal pole shape; quadrupole magnet; sensitivity analysis; shape design; Algorithm design and analysis; Differential algebraic equations; Finite element methods; Magnetic devices; Magnetostatics; Nonlinear equations; Nonlinear magnetics; Saturation magnetization; Sensitivity analysis; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.123989

Filename

123989