This paper examines the problem of coordinated planning of a multi-regional integrated energy system considering energy sharing under the background of dual carbon and interest competition of an integrated energy system (IES) belonging to different investors. Based on Nash negotiation cooperative game theory, this paper proposes a joint planning approach for IESs that belong to different investment entities. In this approach, a configuration and operation optimization model considering carbon trading and power sharing among various entities is established. A multi-agent cooperative planning model based on Nash negotiation is established. This is transformed into two sub-problems of minimizing social costs and maximizing payment benefits. The augmented Lagrangian function of the two sub-problems is constructed. Then, in order to protect the data privacy of each subject in the planning stage and improve the fault tolerance of the algorithm calculation, Nash equilibrium solutions of two subproblems are obtained using an alternate direction multiplier distributed algorithm. Finally, the results of numerical examples show that after the cooperative planning of each subject, the planning cost of each subject can be significantly reduced and each system can operate reliably. This verifies the effectiveness of the proposed cooperative planning model and method.

This work is supported by the National Natural Science Foundation of China (No. 52107083).