| In order to meet the increasing power demand of industrial users,distributed generators(DGs)such as combined heat and power(CHP)units are integrated into the power grid,and are tightly coupled with industrial users to form an industrial park that can achieve independent energy management.In addition,in actual industrial parks,the transmission time of electrical energy and thermal energy varies greatly due to the heterogeneity of the transmission medium,which increases the difficulty of energy scheduling.And there is a certain coupling relationship between the two energy sources,which makes it more difficult for the modelling and subsequent solution of the participants in the industrial park.Therefore,in order to realize the distributed optimization of the integrated energy system of the industrial park with heat-electricity coupling,the overall framework of the industrial park and the peak load shifting response model should be established on the basis of considering the thermal delay effect and the heat-electricity coupling.This paper establishes an energy management framework for a multi-energy industrial park based on Stackelberg game theory,where the leaders and the followers are CHP unit owners and a group of industrial users,respectively.The strategies of the leaders are the compensation price for the industrial users and the strategies of the followers are the shiftable load,the increasable load and the curtailable load.The interactions between the leaders and the followers are the two-way electricity and the one-way heat trading.The bi-directional energy demands conversion is considered to realize the peak load shifting.The slow dynamics of district heating system is reflected by introducing the thermal delay time constant(TDTC),resulting in a "synchronous production-asynchronous-delivery" scheme for electricity and heat.A relatively computational cheap decentralized solution procedure is devised to refine the Stackelberg equilibrium,and the existence proof of the equilibrium under mild conditions is provided.The effectiveness of the proposed methods are verified by simulation results. |