Eur. Phys. J. Appl. Phys.
Volume 28, Number 2, November 2004
|Page(s)||213 - 225|
|Section||Physics of Energy Generation, Conversion and Storage|
|Published online||30 August 2004|
Analytical and discrete approaches for 3D magnetic field profiling
L2ES-UTBM, bâtiment F, rue Thierry Mieg, 90018 Belfort Cedex, France
2 ALSTOM, 3 avenue des Trois Chênes, 90018 Belfort Cedex, France
Corresponding author: firstname.lastname@example.org
Revised: 2 April 2004
Accepted: 6 May 2004
Published online: 30 August 2004
Two methodologies are presented allowing to find the current density on a revolution surface to obtain a given 3D magnetic field distribution. The combination of the Biot-Savart law and the superposition theory is used to establish an algebraic relationship between the predefined magnetic field and the searched current density. Basically, two approaches are used: the continuous approach, in which the current density is modeled by an analytical function and the discrete method where the searched current density is given by a list of values that match a mesh of the magnet support. Furthermore, the use of the spherical harmonic development of the predefined magnetic field leads to a compact formulation of the inverse problem. The proposed matrix methodology has been developed for any magnet having a revolution axis (revolution magnets). A computer code which uses both approaches has been developed and gives good simulation results, which show an interesting prospects for new magnet design.
PACS: 41.20.Gz – Magnetostatics; magnetic shielding, magnetic induction, boundary-value problems
© EDP Sciences, 2004
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