Magnetic Model of the CERN Proton Synchrotron Main Magnetic Unit

The CERN Proton Synchrotron (PS) will remain one of the key elements of the Large Hadron Collider (LHC) injector system for the next 20-25 years. Tuning the machine characteristics to the requirements for the LHC and its upgrades will require the establishment of an accurate magnetic model of the PS combined-function magnets, which is the subject of this paper. In the scope of this research, a detailed 2D quasi-static analysis of the PS magnets was performed, which allowed to investigate the magnetic field evolution and the contribution of separate magnet circuits at different field levels. An experimental validation of this new model was carried out through ad-hoc field measurements machine studies iterated with an optical model of the PS machine to recreate the measured optical parameters of the beam.