Analytical Calculation of the Magnetic Field Created by Permanent-Magnet Rings

Romain Ravaud (1) , Guy Lemarquand (1) , Valérie Lemarquand (1) , Claude L. Depollier (1, 2)

1 LAUM - Laboratoire d'Acoustique de l'Université du Mans
2 FANO - Fédération Acoustique du Nord-Ouest

The aim of this paper is to present an analytical calculation of permanent magnet rings whose magnetic polarization is either radial or axial. The calculation of magnetic field created by permanent magnet rings is generally based on either a 2D analytical approach or a 3D semi-analytical approach. However, when the inner radius of the permanent magnet ring becomes small, the 2D analytical calculation is not appropriate. Moreover, the semi-analytical approach is less useful than an analytical approach. We propose in this paper to compare the 2D analytical calculation and the 3D analytical calculation. In particular, we show when the use of 3D analytical calculation is necessary and when the ring curvature effect is important.

Mots clés: Analytical calculation; axial magnetization; magnetic field; permanent-magnet rings; radial magnetization

Domaines: Electromagnétisme

Romain Ravaud, Guy Lemarquand, Valérie Lemarquand, Claude L. Depollier. Analytical Calculation of the Magnetic Field Created by Permanent-Magnet Rings. IEEE Transactions on Magnetics, 2008, 44 (8), pp.1982-1989. ⟨10.1109/TMAG.2008.923096⟩. ⟨hal-00354586⟩