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The development of a power converter for the resistive magnets of the Muon Collider Rapid Cycling Synchrotron (RCS) represents one of the most critical challenges of the muon accelerator system, given the required peak power levels in the 50–100 GW range. To address this, a modular resonant converter is proposed, consisting of several hundred identical series-connected cells interleaved with the magnets. This configuration distributes the total system voltage — on the order of tens of megavolts — evenly across the cells, while limiting the insulation voltage to ground. A key design requirement is a highly repeatable current ramp across successive pulses, with deviations at or below 100 ppm. Given the very short acceleration times, a pulse-to-pulse Iterative Learning Control (ILC) strategy is proposed to progressively meet this target. The paper presents the main converter topologies, repeatability studies, simulation results, and the proposed control approaches.
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