Abstract
We study the coil layouts of superconducting dipoles for particle accelerators based on the sector geometry. We show that a simple model based on a sector coil with a wedge allows us to derive an equation giving the short sample field as a function of the aperture, coil width, cable properties, and superconducting material. The equation agrees well with the actual results of several dipole coils that have been built in the past 30 years. The improvements due to the grading technique and the iron yoke are also studied. The proposed equation can be used as a benchmark to judge the efficiency of the coil design, and to carry out a global optimization of an accelerator layout.
Highlights
Superconducting dipoles have been used for 30 years to bend particle beams in accelerator machines
A new generation based on the Nb3 Sn has allowed to break the 10 T barrier, such as the CERN-Elin [8], the MSUT [9]
The sector coil models are slightly more representative than the cos coil, which has been extensively studied in [18,19], since they include the difference between central field and peak field in the coil
Summary
Superconducting dipoles have been used for 30 years to bend particle beams in accelerator machines. Depending on the azimuth), which has been extensively studied in [18,19], since they include the difference between central field and peak field in the coil This difference is not negligible when the ratio between the coil width and the aperture radius is small, such as in the RHIC dipoles [4]. The extension of this analysis to alternative layouts such as the block coil or the common coil will be presented separately.
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