基于纳什谈判考虑能源共享的区域综合能源系统优化配置

为了解决“双碳”背景下考虑能源共享的多区域综合能源系统协同规划和分属于不同投资主体的综合能源系统利益竞争问题，提出了基于纳什谈判合作博弈理论的多综合能源系统联合规划方法。首先，建立考虑碳交易和各主体间电能共享的配置与运行优化模型。在此基础上，建立基于纳什谈判的多主体合作规划模型，将其转化为社会成本最小化和支付效益最大化两个子问题，并构造两个子问题的增广拉格朗日函数。其次，为了保护规划阶段各主体的数据隐私以及提高算法计算的容错性，采用交替方向乘子分布式算法求解两个子问题的纳什均衡解。最后，通过算例结果表明各主体经过合作规划后，可以明显地降低各主体的规划成本，且保证各系统的可靠运行，验证了所提合作规划模型和方法的有效性。

Optimal configuration of a regional integrated energy system considering energy sharing based on Nash negotiation

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).