Interaction Between Ring-Shaped Permanent Magnets With Symbolic Gradients: Application to Magnetic Bearing System Optimization

Author

Delinchant, B. ; Wurtz, F. ; Yonnet, J.-P. ; Coulomb, J.-L.

Author_Institution

Grenoble Electr. Eng. Lab., St. Martin d´´Hères, France

Volume

47

Issue

5

fYear

2011

fDate

5/1/2011 12:00:00 AM

Firstpage

1418

Lastpage

1421

Abstract

This paper presents a semi-analytical calculation of the interaction between magnetic bodies with ring shapes. It leads to fast and accurate evaluation of forces and torques but also to the symbolic expression of their gradients. Our method can be used to compute partial derivatives to address optimization needs. It has been implemented into an available software environment in order to be automatically available for end users. Efficient optimization can be done to size magnetic bearing systems.

Keywords

magnetic bearings; optimisation; partial differential equations; permanent magnets; physics computing; forces; magnetic bearing system; optimization; partial derivatives; ring-shaped permanent magnets; semianalytical calculation; symbolic gradients; torques; Analytical models; Computational modeling; Magnetic levitation; Magnetostatics; Numerical models; Optimization; Sensitivity; Elliptic integrals; magnetostatic analytical modeling; optimization; ring-shaped magnet;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2010.2091718

Filename

5754676