基于主从博弈模型的电热联合市场中节点能价的计算方法

随着综合能源系统的发展和电力市场改革的深化，电力与热力的产销日益紧密，如何构建一个健康高效的电热联合市场得到了越来越多的关注。为此，本文构建了一个基于Stackelberg博弈理论的电热联合市场框架，独立能源交易中心负责组织能源供应商与用户进行交易，并负责最终的市场出清。基于比例共享原则，提出了考虑生产成本和水泵运行成本的节点热价计算方法，并通过修正用户的热力需求函数以考虑热力在传输过程中的损耗。在博弈模型的求解方面，提出了交互式迭代算法以求解能源供应商的最优设备出力、节点电价和节点热价以及用户的最优混合需求响应。最后，通过算例详细阐述了求解所提模型的计算步骤，展现了所提模型和算法的高效性和实用性。

Nodal energy price calculation based on Stackelberg game model in combined power and heat market

With the development of integrated energy system and the deepening of power market reform, the production and marketing of power and heat are getting closer. How to build a healthy and efficient market has attracted more and more attention. To this end, this paper constructed a combined power and heat market based on Stackelberg game theory. The independent energy trading center is responsible for organizing transactions between energy suppliers and users and clearing the market. Based on the proportional sharing principle, a nodal heat price calculation method was proposed considering production cost and pump operation cost. The thermal loss occurred in the transmission was considered by modifying the thermal demand function of users. An interactive iteration algorithm was proposed to solve the optimal equipment output, nodal power price, nodal heat price, and integrated demand response. The detailed solution process is shown in the case study, which reflects the validity and practicability of the proposed model.