刘丽,叶钰童,王宝,贾健雄,黄霞,陈熠,王晗
LIU Li,YE Yutong,WANG Bao,JIA Jianxiong,HUANG Xia,CHEN Yi,WANG Han

• 1:国网安徽省电力有限公司经济技术研究院
• 2:电力传输与功率变换控制教育部重点实验室(上海交通大学)

摘要(Abstract)：

在国家大力推动省间电力市场建设的背景下，多个购电省共同参与省间电力现货市场时存在竞争关系。为了给购电省制定合理的报价策略，提出面向省间电力现货市场的购电博弈竞价模型。首先，根据购电省省内市场运营情况计算边际省间购电量-价曲线，以此作为购电省参与省间电力现货市场的报价曲线。然后，提出联络线潮流方向可变场景下省间电力现货市场出清与定价模型，并建立多个购电省参与下的省间市场非合作博弈竞价模型，所得纳什均衡下的报价曲线即为购电省最优购电报价。最后，构建包含2个售电省和3个购电省的算例系统进行仿真计算，验证了所提模型的有效性，并获得了购电博弈竞价模型的纳什均衡解。
In the context of China's vigorous promotion of inter-provincial electricity market construction, there exists a competitive dynamic among multiple purchasing provinces participating in the inter-provincial electricity spot market. To devise a rational bidding strategy for these purchasing provinces, a game bidding model for electricity purchasing tailored to the inter-provincial electricity spot market is proposed. Firstly, the marginal inter-provincial electricity purchase quantity-price curve is calculated based on the operational conditions of the electricity market within each province, serving as the bidding curve for its participation in the inter-provincial electricity spot market.Subsequently, a model for market clearance and pricing in the inter-provincial electricity spot market is proposed under the scenario of variable flow directions of tie-lines. A non-cooperative game bidding model for the interprovincial market, involving multiple purchasing provinces, is established, where the bidding curve obtained under Nash equilibrium represents the optimal electricity purchase bid for the purchasing provinces. Finally, a simulation calculation is conducted on a case study system comprising two selling provinces and three purchasing provinces to validate the effectiveness of the proposed model and obtain the Nash equilibrium solution of the bidding model for electricity purchase.

关键词(KeyWords)： 省间电力市场;报价策略;出清模型;非合作博弈;纳什均衡
inter-provincial electricity market;bidding strategy;clearing model;non-cooperative game;Nash equilibrium

Abstract:

Keywords:

基金项目(Foundation): 国家电网有限公司科技项目（SGAHJY00ZLJS2310059）

作者(Author): 刘丽,叶钰童,王宝,贾健雄,黄霞,陈熠,王晗
LIU Li,YE Yutong,WANG Bao,JIA Jianxiong,HUANG Xia,CHEN Yi,WANG Han

DOI: 10.19585/j.zjdl.202407013

参考文献(References)：

• [1]刘昊，郭烨，孙宏斌.中国跨区跨省电力交易综述及展望[J].电力系统自动化，2022,46(15):187-199.LIU Hao,GUO Ye,SUN Hongbin.Review and prospect of inter-regional and inter-provincial power trading in China[J].Automation of Electric Power Systems,2022,46(15):187-199.
• [2]曾丹，谢开，庞博，等.中国特色、全国统一的电力市场关键问题研究（3）：省间省内电力市场协调运行的交易出清模型[J].电网技术，2020,44(8):2809-2819.ZENG Dan,XIE Kai,PANG Bo,et al.Key issues of national unified electricity market with Chinese characteristics(3):transaction clearing models and algorithms adapting to the coordinated operation of provincial electricity markets[J]. Power System Technology,2020,44(8):2809-2819.
• [3]许高秀，邓晖，房乐，等.考虑需求侧灵活性资源参与的国内外电力辅助服务市场机制研究综述[J].浙江电力，2022,41(9):1-13.XU Gaoxiu,DENG Hui,FANG Le,et al.A review of ancillary service market mechanism study at home and abroad considering flexible resources on demand side[J].Zhejiang Electric Power,2022,41(9):1-13.
• [4]纪鹏，曾丹，孙田，等.全国统一电力市场体系深化建设研究——以省间、省内市场耦合演进路径设计为切入点[J].价格理论与实践，2022(5):105-109.JI Peng,ZENG Dan,SUN Tian,et al.Research on deepening construction of national unified electricity market system——Take the inter-provincial and intra-provincial market coupling evolution path design as the entry point[J].Price:Theory&Practice,2022(5):105-109.
• [5] NDRIO M,BOSE S,TONG L,et al.Coordinated transaction scheduling in multi-area electricity markets:equilibrium and learning[J].IEEE Transactions on Power Systems,2023,38(2):996-1008.
• [6]周迪雅，冯树海，朱忆宁，等.适应我国电力市场环境的可用传输容量（ATC）应用分析及关键问题探讨[J].电网技术，2021,45(9):3357-3366.ZHOU Diya,FENG Shuhai,ZHU Yining,et al.Application analysis and key issues of available transfer capability(ATC)adapted to electricity market environment in China[J].Power System Technology,2021,45(9):3357-3366.
• [7]国家电网有限公司.省间电力现货交易规则（试行）[Z].北京：国家电网有限公司，2021.
• [8]孙大雁，关立，黄国栋，等.跨区域省间富余可再生能源电力现货交易的实践和思考[J].电力系统自动化，2022,46(5):1-10.SUN Dayan,GUAN Li,HUANG Guodong,et al. Practice and reflection on trans-regional and cross-provincial electricity spot trading for surplus renewable energy[J].Automation of Electric Power Systems,2022,46(5):1-10.
• [9]谭政宇，陈仕军，刘德旭，等.基于火电分级调峰深度的西南水电跨省消纳空间分析[J].电网与清洁能源，2020,36(2):103-109.TAN Zhengyu,CHEN Shijun,LIU Dexu,et al.Analysis of inter-provincial consumption space of southwest hydropower based on thermal power classification peak shaving depth[J].Power System and Clean Energy,2020,36(2):103-109.
• [10]樊宇琦，丁涛，汤洪海，等.考虑路径折算的跨省跨区可再生能源增量现货交易模型[J].电力系统自动化，2021,45(18):103-112.FAN Yuqi,DING Tao,TANG Honghai,et al. Crossprovincial and cross-regional incremental spot trading model for renewable energy considering path conversion[J]. Automation of Electric Power Systems,2021,45(18):103-112.
• [11]程海花，杨辰星，刘硕，等.基于路径组合计及ATC的省间中长期交易优化出清和系统研发[J].电网技术，2022,46(12):4762-4770.CHENG Haihua,YANG Chenxing,LIU Shuo,et al.Optimization clearing and system development of interprovincial medium and long term trade considering ATC base on path combination[J].Power System Technology,2022,46(12):4762-4770.
• [12]张衡，张沈习，程浩忠，等.Stackelberg博弈在电力市场中的应用研究综述[J].电工技术学报，2022,37(13):3250-3262.ZHANG Heng,ZHANG Shenxi,CHENG Haozhong,et al. A state-of-the-art review on Stackelberg game and its applications in power market[J]. Transactions of China Electrotechnical Society,2022,37(13):3250-3262.
• [13]岳云力，李倩，方勇，等.考虑风电消纳的电供暖多方合作博弈研究[J].浙江电力，2020,39(9):95-102.YUE Yunli,LI Qian,FANG Yong,et al. Research on multi-party cooperative game of electric heating considering wind power consumption[J].Zhejiang Electric Power,2020,39(9):95-102.
• [14]窦春霞，贾星蓓，李恒.基于多智能体的微电网中分布式发电的市场博弈竞标发电[J].电网技术，2016,40(2):579-586.DOU Chunxia,JIA Xingbei,LI Heng.Multi-agent-systembased market bidding strategy for distributed generation in microgrid[J]. Power System Technology,2016,40(2):579-586.
• [15]邱革非，余欣蓉，金乐婷，等.多虚拟电厂博弈的区域电网经济调度[J].电力系统及其自动化学报，2021,33(6):75-83.QIU Gefei,YU Xinrong,JIN Leting,et al.Economic dispatching of regional power grid based on multi-virtual power plant game[J]. Proceedings of the CSU-EPSA,2021,33(6):75-83.
• [16]姚拓中.基于粒子群优化和改进蚁群算法的电力供应链博弈分析[J].浙江电力，2022,41(9):80-85.YAO Tuozhong. Game analysis of supply chain of the power system based on particle swarm optimization and improved ant colony algorithm[J]. Zhejiang Electric Power,2022,41(9):80-85.
• [17]谢雄，崔雪，刘洋，等.基于斯塔伯格博弈的多利益主体需求响应策略[J].电测与仪表，2021,58(11):81-88.XIE Xiong,CUI Xue,LIU Yang,et al.Multi-stakeholder demand response strategy based on Stackelberg game[J].Electrical Measurement&Instrumentation,2021,58(11):81-88.
• [18]王子石，杨知方，杨燕，等.考虑电价不确定性的负荷价–量曲线聚合方法[J].中国电机工程学报，2021,41(1):147-155.WANG Zishi,YANG Zhifang,YANG Yan,et al. Bidding curve aggregation considering uncertainty of electricity price[J].Proceedings of the CSEE,2021,41(1):147-155.
• [19]王斌，夏叶，夏清，等.直流跨区互联电网发输电计划模型与方法[J].电力系统自动化，2016,40(3):8-13.WANG Bin,XIA Ye,XIA Qing,et al.Model and methods of generation and transmission scheduling of interregional power grid via HVDC tie-line[J].Automation of Electric Power Systems,2016,40(3):8-13.
• [20]孙大雁，关立，胡晨旭，等.省间电力现货交易机制设计与探索[J].电网技术，2022,46(2):421-428.SUN Dayan,GUAN Li,HU Chenxu,et al.Design and exploration of inter-provincial power spot trading mechanism[J].Power System Technology,2022,46(2):421-428.
• [21]刘晓峰，高丙团，李扬.博弈论在电力需求侧的应用研究综述[J].电网技术，2018,42(8):2704-2711.LIU Xiaofeng,GAO Bingtuan,LI Yang.Review on application of game theory in power demand side[J]. Power System Technology,2018,42(8):2704-2711.