Stabilization of the bunch position during the control of the microbunching instability in storage rings

Recent studies have demonstrated the effectiveness of feedback techniques in suppressing the bursting behavior caused by microbunching instabilities, leading to the stabilization of terahertz (THz) coherent synchrotron radiation (CSR) emission in storage rings. However, the use of feedback loops on the accelerator voltage without proper caution can lead to destabilization of the bunch position and result in beam losses, which limits the optimal feedback parameters. In this paper, we propose a solution to this limitation by introducing a second feedback loop on the phase of the accelerating voltage. The effectiveness of this strategy has been tested at the SOLEIL storage ring, representing a significant step forward in mitigating microbunching instability at high current charges.