Effect of magnet sorting using a simple resonance cancellation method on the RMS orbit distortion at the APS injector synchrotron

The Advanced Photon Source injector synchrotron is a 7 GeV positron machine with a standard alternating gradient lattice. The calculated effect of dipole magnet strength errors on the orbit distortion, simulated by Monte Carlo, was reduced by sorting pairs of magnets having the closest simulated measured strengths to reduce the driving term of the integer resonance nearest the operating point. This method resulted in a factor of four average reduction in the RMS orbit distortion when all 68 magnets were sorted at once. The simulated effect of magnet measurement experimental resolution was found to limit the actual improvement. The β-beat factors were similarly reduced by sorting the quadrupole magnets according to their gradients