The interaction between the control of power electronic devices and the series compensating capacitors is called sub-synchronous control interaction (SSCI). Because SSCI seriously affects the stability of the power grid, it has attracted much attention. In this paper, the initial population of salp swarm algorithm (SSA) is optimized based on good point theory and an improved SSA algorithm (GSSA) is proposed. Then, based on the improved GSSA algorithm, the PI parameters are adjusted to minimize the oscillation. Finally, the validity of the method is verified by simulation analysis. In addition, the robustness of the optimized parameters under different wind speeds and series compensation levels is studied. The results show that the optimized parameters can not only effectively suppress SSCI, but also have strong robustness in different working conditions.