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Coil shaping magnet design

Abstract : In the frame of the RACCAM project, the coil shaping magnet design is studied. The main advantages of that method are to allow to keep horizontal tune constant and make possible the variation of k. A first simple model of conductors of infinite length and no iron yoke gives a first set of current intensities using Biot and Savart law. The problem is then to solve the linear system A.x-B=0. The matrix A generated is often ill-conditionned and requires a particular solving method based on matrix 1-norm minimisation. It can give satisfying results in 2d, but current intensities have to be adjusted if the geometry generates an ill-conditionned matrix A. With a 3d simulation (not done yet) other adjustments are nedeed to match the field law. Pushing geometry investigations a bit further, one can calculate the field generated by a series of conductors of limited length, arc shaped and distributed along a spiral (the one which supports the edges of the magnet). If arcs centers are located at machine ring center, it appears clearly that the maximum field of one conductor is not always located inside the limits of the iron yoke. This still have to be confirmed with a 3d simulation.
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http://hal.in2p3.fr/in2p3-00169503
Contributor : Lpsc Bibliotheque <>
Submitted on : Tuesday, September 4, 2007 - 11:13:34 AM
Last modification on : Thursday, November 19, 2020 - 12:58:56 PM

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  • HAL Id : in2p3-00169503, version 1

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E. Froidefond, B. Autin. Coil shaping magnet design. Semi-Annual International Workshop on FFAG, 2007, Grenoble, France. ⟨in2p3-00169503⟩

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