Increasing energy demand and establishing a balance between production and consumption are important challenges for grid operators. Furthermore, environmental and economic constraints prevent the solution of these problems by conventional methods like the consumption of fossil fuels and the construction of new power plants in proportion to the growth of energy consumption. The hybrid system of Compressed Air Energy Storage and Pumped Hydroelectric (CAESPH) due to advantages such as no requirements for fossil fuels and scalability can prevent the loss of excess energy by storing. Another crucial factor in utilizing this system is power generation control. Due to the novelty of the CAESPH, few studies have examined its performance in conjunction with power generation systems. In this paper, the performance of this energy storage system in the integrated state with wind farm and electricity grid was analyzed and evaluated. For this purpose, the wind data of the selected station were software-modeled, then the comprehensive software modeling system was developed and its performance was analyzed with selected parameters for a cycle. Finally, the system behavior in application with the electricity grid and wind farm under different scenarios was software simulated for one week. According to the results, the Round-trip efficiency of the system is about 49% and this amount is about 7% less in the first cycle than in the next cycles. Also found that this system has good potential for integration with wind farms and electricity grids and with proper design can provide the required power consumption without interruption.