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Description
Based on the beam commissioning of CSNS-I RCS, the current tune above the half-integer resonance exhibits extremely narrow parameter margins and severe instabilities. Therefore, to further increase the beam power in Phase II, significant optimization of the tune is required.
First, we conducted a series of simulations. A total of 97 tunes were selected on the resonance diagram, and the beam transmission efficiency was simulated, taking into account space charge effects and instabilities. The results demonstrate that the tunes below the half-integer resonance (near 4.3/5.3) are instability-free and can achieve transmission efficiencies exceeding 99% (up to 140 kW in Phase I and 700 kW in Phase II).
Subsequently, to verify stable operation at the tunes near 4.3/5.3 in the actual machine, we performed a series of machine studies. The results confirm that these tunes remain instability-free and can achieve stable beam supply at 140 kW (corresponding to 700 kW in Phase II under equivalent space charge tune shift conditions). This provides strong evidence that the selected tunes can support stable 700 kW beam operation during Phase II commissioning.
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