Permanent Magnet Couplings: Field and Torque Three-Dimensional Expressions Based on the Coulombian Model

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

This paper presents three-dimensional expressions for the optimization of permanent-magnet couplings. First, we give a fully analytical expression of the azimuthal field created by one arc-shaped permanent magnet radially polarized which takes into account its magnetic pole volume density. Such an expression has a very low computational cost and is exact for all points in space. Then, we propose two semi-analytical expressions of the azimuthal force and the torque exerted between two arc-shaped permanent magnets. These expressions are valid for thick or thin arc-shaped permanent magnets. Furthermore, this approach allows us to realize easily parametric studies and optimizations. The analytical approach taken in this paper, based on the Coulombian model, is a good alternative compared to the finite element method generally used to study such configurations.

Mots clés: analytical; azimuthal force; couplings; permanent magnet; radial magnetization; torque

Domaines: Electromagnétisme

Romain Ravaud, Guy Lemarquand, Valérie Lemarquand, Claude L. Depollier. Permanent Magnet Couplings: Field and Torque Three-Dimensional Expressions Based on the Coulombian Model. IEEE Transactions on Magnetics, 2009, 45 (4), pp.1950-1958. ⟨10.1109/TMAG.2008.2010623⟩. ⟨hal-00371055⟩