With the increase in the penetration rate of new energy sources into the grid, the voltage of distribution networks in some areas is susceptible to disturbances, leading to a decrease in grid robustness. Energy storage can effectively mitigate the fluctuations of new energy sources. When energy storage inverters are connected to weak grids, they can operate in voltage-source mode to enhance grid characteristics. However, in this case, the ability of current control decreases. There is a risk of overcurrent issues during the switching of high-power loads. Therefore, current limiting control is needed. When applying the current limiter to inverters operated in voltage-source mode, it can lead to voltage desynchronization, causing instability. Thus, this paper proposes a current limiting control strategy based on phase angle switching for energy storage inverters operated in voltage-source mode. Taking the droop control as an example, this paper compares the current-limiting strategy based on virtual impedance with the current-limiting strategy based on phase angle switching. From simulation results, this paper demonstrates the effectiveness of the proposed control strategy.