Ripple Distribution In Magnet Strings Of Super Collider

Abstract

The voltage ripple in the power supplies of the Collider generate ripple current in the magnet coil that, in turn, generates ripple in the magnetic field of dipoles and quadrupoles. The ripple in the magnetic field will be a function of the and space due to the transmission line effect. The work reported in this paper gives a thorough analysis the frequency spectrum and the spatial propagation pattern of the differential mode ripple in the magnet strings for the injection mode and the collider mode. sub/super harmonics. Therefore, it is necessary to consider the power supply ripple as a spectrum distribution. 151 presented accurate electric characteristics of the superconducting magnets by eGerimenta1 and analytic method. The work reported in this paper gives an analytical, numerical, and experimental combined study and provides thorough information of the frequency and spatial distributions of the differential ripple in the magnet string of collider standard arc for the injection mode and the collider mode. The analysis method is applicable to other magnet strings as well. In Section 11, the waveforms of the power supply voltage with all possibilities of imbalance were simulated, and the spectrum of the power supply voltage was obtained using FFT method. In Section 111, the transfer functions of power supply voltage to the string current and coil current at the drive point were obtained, Section Iv gives the current ripple spatial distribution from the drive point to both ends of the magnet strings. Section V provides an experimental transfer function from the coil current to the magnetic field at any location in the magnet strings. A