Volume minimization for permanent-magnet structures

Author

Jensen, Jens H.

Author_Institution

Dept. of Radiol., New York Univ. Sch. of Med., NY, USA

Volume

39

Issue

3

fYear

2003

fDate

5/1/2003 12:00:00 AM

Firstpage

1800

Lastpage

1805

Abstract

A method for designing permanent-magnet structures that minimizes the volume of magnetic material is described. The desired characteristics of the magnetic field are specified by a set of M linear constraints. This paper shows that minimum volume configurations can be determined by solving a system of M+1 nonlinear equations. A key feature of the method is that it always produces a global minimum. The method´s use is illustrated by the design of a helical undulator for a free-electron laser.

Keywords

free electron lasers; magnetic fields; magnetostatics; minimisation; nonlinear equations; permanent magnets; wigglers; FEL helical undulator design; PM structure design; free-electron laser; global minimum; linear constraints; magnetic field characteristics; magnetic material volume minimization; minimum volume configuration determination; nonlinear equations; optimization methods; permanent-magnet structures; volume minimization; Air gaps; Design methodology; Free electron lasers; Magnetic fields; Magnetic materials; Magnetization; Nonlinear equations; Optimization methods; Remanence; Undulators;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2003.809856

Filename

1198374