Load variations significantly influence the operational state of CCHP microgrids. To enhance the microgrids’ capacity to handle power fluctuations, this paper presents a flexibility supply – demand balance indicator for the power system. Concurrently, it gathers energy consumption load data of air – conditioning systems.The flexibility supply/demand balance index serves to depict the degree of alignment between the supply of diverse flexibility resources and the system’s flexibility requirements at different time intervals. A joint dispatch model of the power system, taking into account the flexibility supply – demand balance, is developed.The energy consumption variables of the air – conditioning system are managed. In the context of a regional multi – energy coupled system, the optimized scheduling performance of the joint scheduling model in terms of capacity allocation and annual comprehensive system revenue is examined. Different flexibility supply – demand matching coefficients are set to contrast the annual comprehensive income data across various cases. The trend of the annual comprehensive income is summarized, and the real – time dispatch outcomes of the joint dispatch model are analyzed from the viewpoints of electric energy storage and natural gas pipeline storage.When the flexibility supply – demand matching coefficients are set at 0.65, 0.85, 0.93, and 0.98, the comprehensive revenues of cases 1 – 4 are 4,207,646,200 yuan, 4,212,746,600 yuan, 4,221,311,100 yuan, and 4,161,127,400 yuan respectively. The comprehensive revenue in the system first rises and then falls as the flexibility supply – demand matching coefficients increase.The joint scheduling model can release electricity when the power system’s energy supply is inadequate and store electricity when the energy supply is excessive. This enables the system to respond in real – time to the rapid fluctuations of wind power and ensure the balance of energy supply and demand within the system.