The use of a relaxation method to calculate the 3D magnetic field contribution of an iron yoke

Author

Caspi, S. ; Helm, M. ; Laslett, L.J.

Author_Institution

Lawrence Berkeley Lab., CA, USA

Volume

28

Issue

2

fYear

1992

fDate

3/1/1992 12:00:00 AM

Firstpage

1096

Lastpage

1098

Abstract

A computational procedure has been developed for calculating the 3-D field produced by an axisymmetric iron yoke of high permeability in the presence of a system of conductors. The procedure is particularly applicable to the end regions of multipole magnets of the sort used in particle accelerators. The field produced by the conductors is calculated using the Biot-Savart law. If one solves the appropriate individual differential equations for specified scalar potential functions throughout the iron-free region, with the proper applied boundary condition for the scalar potential of each harmonic number, one will achieve upon summation the appropriate potential function to describe the field contribution of the surrounding high-permeability iron

Keywords

beam handling equipment; electromagnets; iron; magnetic fields; numerical methods; partial differential equations; 3D magnetic field contribution; Biot-Savart law; axisymmetric Fe yoke; boundary condition; computational procedure; differential equations; harmonic number; multipole magnets; particle accelerators; relaxation method; scalar potential functions; Azimuth; Boundary conditions; Conductors; Iron; Lenses; Linear particle accelerator; Magnetic fields; Magnetic materials; Relaxation methods; Superconducting magnets;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.123873

Filename

123873