Abstract :
In this paper, we show that the electromagnetic design of several superconducting quadrupoles, built for particle accelerators, can be rather well approximated by a 36 degree sector coil with a wedge, canceling the first two field harmonics. We therefore carry out a complete analysis of this lay-out, obtaining an approximated equation for the critical gradient as a function of the coil area, magnet aperture, and of the superconducting properties of the cable. Using this model, we estimate through numerical methods the maximum critical gradient that can be obtained in quadrupole of a given aperture for Nb-Ti, Nb-Ti-Ta and Nb3Sn.
Keywords :
gradient methods; particle accelerators; superconducting cables; superconducting coils; superconducting magnets; critical gradient; electromagnetic design; particle accelerator; superconducting cable; superconducting quadrupole; Apertures; Electromagnetic fields; Equations; Linear particle accelerator; Magnetic analysis; Magnetic properties; Niobium; Superconducting cables; Superconducting coils; Superconducting magnets; Accelerator magnets; superconducting magnets;
