Study of Transient Ripple in Synchrotron - Practical Applications

Characteristics of ripples generated as transient responses with idealized current patterns in synchrotrons are studied along with practical applications. The ripples intrinsically occur in synchrotron magnets as a driven harmonic oscillation whenever ramp pattern currents are applied to the magnets. In realistic synchrotron magnet circuits, additionally, damping resistors and interconnection types should be taken into account, because they largely change such circuit parameters as resistance and capacitance. In this paper, effects of damping resistance and conductor types, such as cables and bus-bars, on intrinsic ripples are studied. Simulated results are obtained within realistic circumstances of J-PARC Main-ring Synchrotron in the present 30 GeV operations.