Optimal operation of multi-agent electricity-heat-hydrogen sharing in integrated energy system based on Nash bargaining

•A multi-agent electricity-heat-hydrogen P2P trading optimization model is proposed.•Hydrogen is involved in P2P transactions and used for natural gas blending.•The multi-energy trading power and trading price are obtained based on Nash bargaining.•The bargaining cooperative interaction can benefit each agent simultaneously. The P2P transaction mode has significant potential in improving energy utilization, increasing economic efficiency, and promoting low carbon operation of the system. With the development of integrated energy system, the coupling between multi-energy systems is continuously strengthened, and the study of multi-energy P2P transactions is of great significance. Considering the characteristic that natural gas can blend with hydrogen, this paper proposes a multi-agent electricity-heat-hydrogen trading model by taking hydrogen produced on the load side as a P2P transaction object. Based on Nash bargaining theory, the multi-energy transactions model is equivalent to a cooperative game model. Then, the Nash bargaining model is transformed into two continuous subproblems of minimizing operating cost and maximizing transaction payment. The optimal cost of each agent operating independently is used as the negotiation rupture point, and the alternating direction multiplier method is used for sequential solution to obtain the multi-energy trading power and trading price, respectively. Finally, the effectiveness of the proposed method is verified by using the distribution network IEEE 33-bus and natural gas 11 node systems. The results show that the revenue of subject 1 is increased by 11.9%, and the operating costs of the other subjects are reduced by 3.4%, 2.7% and 3.1%, respectively. The overall carbon tax cost of the system is reduced by 1 196.59 CNY, which can effectively reduce the carbon emission of the system.