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: email@example.com
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.