Controlling Nonlinear Resonances in Superconducting Storage Accelerators

There is reason to expect that nonlinear imperfection resonances may be stronger in a high field superconducting storage accelerator than in a storage accelerator using conventional magnets. A rough study is done to estimate the minimum correction magnets required to correct for resonances up to and including the fifth order. It may be sufficient to have roughly one correction magnet in each cell of the storage ring, with each correction magnet having 12 different coils which are independently excited, and with about 36 independent power supplies. It is also suggested that these correction magnets may be used as all purpose correction magnets and correct for the linear resonances, central orbit displacements, and move the working point ¿r, ¿z as well. In this case, about two correction magnets are required per cell, each correction magnet having 21 different windings, and with about 132 independent power supplies required.