Shape sensitivity analysis of magnetic forces

Author

Biedinger, J.M. ; Lemoine, D.

Author_Institution

Univ. de Technol. de Compiegne, France

Volume

33

Issue

3

fYear

1997

fDate

5/1/1997 12:00:00 AM

Firstpage

2309

Lastpage

2316

Abstract

This paper presents a shape sensitivity analysis of magnetic forces evaluated using the Maxwell stress tensor and the finite element method. The formulation is based upon a discrete approach which takes the analytical derivatives of the finite element equations with respect to the shape variables and also on the adjoint variable method in order to carry out the derivation procedure. Sensitivity analysis is developed in the context of the axisymmetrical nonlinear magnetostatic field problem with a modified magnetic vector potential as state variable. Numerical results are presented to validate this methodology. Shape sensitivity analysis is then applied to the optimization of the force-displacement characteristic of a linear actuator. A sequential quadratic programming method is used in the optimization process

Keywords

finite element analysis; magnetostatics; quadratic programming; sensitivity analysis; Maxwell stress tensor; adjoint variable method; axisymmetrical nonlinear magnetostatic field; finite element method; force-displacement characteristic; linear actuator; magnetic force; magnetic vector potential; optimization; sequential quadratic programming; shape sensitivity analysis; Finite element methods; Magnetic analysis; Magnetic forces; Magnetostatics; Maxwell equations; Nonlinear equations; Sensitivity analysis; Shape; Tensile stress; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.573847

Filename

573847