Design of end turns in current-dominated dipole and quadrupole magnets for fields with low higher-harmonic content.
- Peter L.
A design approach based on a stream function with a single angular Fourier component can be used to specify the end-turn configuration in magnet windings with discrete blocks of conductors. The design approach is especially appropriate for large-bore, current-dominated magnets with many turns. The design method can be summarized as follows: First find a winding-block layout (block angles, number of turns in each block, etc.) for the central, straight-conductor part of the windings that produces two-dimensional fields with negligible higher harmonic content. Next, specify the numbers of groups of conductors into which each block of the 2-D part of the winding fans out in the end-turn region. Also specify the end-zone axial length and the shape-function profile for the end zones. Finally, generate turn contours by finding conductor-group centerline curves in the developed (flattened) cylinder surface that are contours of constant stream function. Individual turns are specified by constant parallel displacement from the group centerline curve in the developed winding surface. An interactive computer program performs the above steps has been written and has been used to design end windings for a test quadrupole example. The unwanted higher harmonics in both peak and integral fields as computed by the Biot-Savart law are remarkably low.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 976187
- Report Number(s):
- LA-UR-02-3159; TRN: US1002869
- Resource Relation:
- Conference: Submtted to: Eighth European Particle Accelerator Conference (EPAC2002), June 3-7, 2002, Paris, France
- Country of Publication:
- United States
- Language:
- English
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