Compressed air storage technology plays an important role in the utilization of renewable energy sources and has received extensive attention in recent years. This paper proposes a cogeneration system with multiple energy supplies to generate electricity, heat energy and domestic hot water. Compressed air energy storage equipment is used to stabilize the wind generator output power, and the air compression process is used to heat domestic water and the air release process is used to assist the gas turbine generating electricity. The stability and efficiency of the multi-energy cogeneration system can be improved by simulating and analyzing the influencing factors and setting the equipment parameters reasonably.