3D magnetic optimization of dipole ends with rectangular cross-sections

Etienne Rochepault; Guy Aubert; Pierre Vedrine; Frédéric Bouillault

doi:10.1051/epjap/2013120414

3D magnetic optimization of dipole ends with rectangular cross-sections

Etienne Rochepault ¹ Guy Aubert ¹ Pierre Vedrine ¹ Frédéric Bouillault ²

2 LGEP - Laboratoire de génie électrique de Paris

Abstract : In particle accelerators, the bending magnets have to be wound with flared ends. This particular shape induces an inhomogeneity in the magnetic field in the ends, which degrades the particle beam stability. This paper proposes a 3D modeling for conductors with rectangular cross-sections. The coil is first divided into blocks (parallelepipeds and arcs). Then the magnetic field is evaluated in every point of space by means of analytical formulas which allow an accurate computation. This method is also faster than numerical integrations of Biot and Savart law. Some optimization examples are finally presented and show that it is possible to minimize, with a few degrees of freedom only, the first field harmonics, integrated along the beam tube.

Type de document :

Article dans une revue

European Physical Journal: Applied Physics, EDP Sciences, 2013, 64 (2), pp.24507. 〈10.1051/epjap/2013120414〉

Domaine :

Physique [physics]

Liste complète des métadonnées

https://hal-supelec.archives-ouvertes.fr/hal-01089715
Contributeur : Thierry Leblanc <>
Soumis le : mardi 2 décembre 2014 - 11:13:51
Dernière modification le : vendredi 12 octobre 2018 - 01:19:29

3D magnetic optimization of dipole ends with rectangular cross-sections

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3D magnetic optimization of dipole ends with rectangular cross-sections

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