With the gradual increase of grid-connected power of new energy sources and the replacement of traditional units by cross-region DC, the grid regulation capability continues to decline. The advantages of bi-directional power fast control of energy storage system provide more means for power grid frequency control. According to the current situation of large-scale use of periodic communication between energy storage systems and grid equipment, the communication period range which may cause power grid frequency oscillation is calculated quantitatively. By analyzing the current campus power grid frequency oscillation process, it is concluded that the frequency oscillation is caused by the unreasonable setting of the periodic communication setting. By actually reducing the period value, no similar phenomenon occurs. According to the actual parameters of the power grid and energy storage system, a power grid simulation system including periodic communication and power control of the energy storage system is established. The frequency response process is consistent with the frequency oscillation period and amplitude of the actual power grid. The simulation results under different low communication periods show that there is no frequency oscillation after the system disturbance, which verifies the correctness of the quantitative calculation results and also supports the effectiveness of the grid to actually modify the fixed period setting. This work is supported by Science and Technology Project of State Grid Corporation of China (No. SGJSDK00DWJS 1900312):“Application Key Techniques Research and Demonstration of Electrochemistry Energy Storage Substation Cluster in UHV AC/DC Hybrid Receiving Power Grid”, and Science and Technology Project of State Grid Jiangsu Electric Power Co., Ltd. (No. J2019027):“Key Techniques Research on High-capacity Energy Storage Supporting the Safe and Stable Operation of Generator and Grid”.