Heat storage (HS) instalment in combined heat and power (CHP) plants is a promising solution to increase the adjustability of CHP plants and reduce renewable energy curtailment. Despite the proposed optimisation models and algorithms, it still lacks a dispatching framework for HS facilities to integrate with the existing dispatching system of power grids. This study integrates a coordination control system (CCS) and a plant-level energy management system (PEMS) into the existing dispatching system and proposes the corresponding scheduling method to ensure the rationality, veracity, and timeliness of scheduling. The CCS generates power and thermal generation schedules in multi-time scales, while the PEMS operates as the bridge between the HS facilities and the CCS. Meanwhile, taking into account the actual scheduling requirements, the authors propose a downward spinning reserve capacity (DSRC) preservation method for the dispatch of CHP plants, develop multi-level coordination and progressive refinement strategy for schedules and apply the DSRC as a criterion to obtain the day-ahead, the rolling and the real-time schedules in sequence. Finally, the dispatch simulation results show that the newly proposed CHP dispatching framework can schedule the HS facilities in CHP plants effectively and achieve the desired effect of wind power accommodation.