计及有限理性的多微电网电能交易策略A strategy for electricity trading among multiple microgrids considering bounded rationality
张敏慧,李晓露,柳劲松,林顺富
ZHANG Minhui,LI Xiaolu,LIU Jinsong,LIN Shunfu
摘要(Abstract):
多微电网在电能交易时会出现有限理性行为,具体表现为对损失、不确定性以及长短期收益具有不同的偏好。基于时间偏好理论和前景理论提出了计及有限理性的多微电网电能交易策略。多微电网运营商作为领导者,以所有微电网收益最大为目标,确定微电网之间的交易电价来激励微电网间的合作交易。微电网作为追随者,在保障自身时间偏好前景值最大的前提下制定交易策略。算例分析表明:该策略可快速确定微电网之间的交易电价,有效提高微电网整体收益和DG(分布式电源)利用率。
Electricity trading among multiple microgrids often involves bounded rationality, manifested by varying preferences for losses, uncertainties, and short to long-term returns. This paper proposes a strategy for electricity trading among multiple microgrids considering bounded rationality, drawing on time preference theory and prospect theory. To maximize the revenue for all microgrids, their operators, taking a leading role, determine transaction prices to incentivize cooperative trading among microgrids. Microgrids, acting as followers, formulate a trading strategy while ensuring the maximization of their prospect values of time preference. A case analysis demonstrates that this strategy allows for the swift determination of transaction prices among microgrids, effectively enhancing overall microgrid revenue and the utilization rate of DG(distributed generation).
关键词(KeyWords):
多微电网;主从博弈;有限理性;不确定性;时间偏好理论;前景理论
multiple microgrids;master-slave game;bounded rationality;uncertainty;time preference theory;prospect theory
基金项目(Foundation): 国家自然科学基金资助项目(51977127)
作者(Author):
张敏慧,李晓露,柳劲松,林顺富
ZHANG Minhui,LI Xiaolu,LIU Jinsong,LIN Shunfu
DOI: 10.19585/j.zjdl.202401006
参考文献(References):
- [1]王皓,艾芊,吴俊宏,等.基于交替方向乘子法的微电网群双层分布式调度方法[J].电网技术,2018,42(6):1718-1727.WANG Hao,AI Qian,WU Junhong,et al.Bi-level distributed optimization for microgrid clusters based on alternating direction method of multipliers[J]. Power System Technology,2018,42(6):1718-1727.
- [2] GUAN Y J,WEI B Z,GUERRERO J M,et al.An overview of the operation architectures and energy management system for multiple microgrid clusters[J].iEnergy,2022,1(3):306-314.
- [3]周步祥,曹强,臧天磊,等.基于区块链的微电网双层博弈电力交易优化决策[J].电力自动化设备,2022,42(9):35-42.ZHOU Buxiang,CAO Qiang,ZANG Tianlei,et al.Optimal decision of power transaction based on blockchain in microgrid with two-layer game[J]. Electric Power Automation Equipment,2022,42(9):35-42.
- [4] XU D,ZHOU B,LIU N,et al.Peer-to-peer multienergy and communication resource trading for interconnected microgrids[J].IEEE Transactions on Industrial Informatics,2021,17(4):2522-2533.
- [5]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.
- [6] ZHANG H B,ZHANG H L,SONG L Y,et al.Peer-topeer energy trading in DC packetized power microgrids[J].IEEE Journal on Selected Areas in Communications,2020,38(1):17-30.
- [7]林振锋,郑常宝,芮涛,等.用户侧分布式储能鲁棒博弈优化调度方法[J].中国电力,2022,55(2):35-43.LIN Zhenfeng,ZHENG Changbao,RUI Tao,et al. Robust game optimization scheduling method for user-side distributed energy storage[J]. Electric Power,2022,55(2):35-43.
- [8] LIU Y,LIU T Y,HE S S.Coordination and optimization of CCHP microgrid group game based on the interaction of electric and thermal energy considering conditional value at risk[J].IEEE Access,2021,9:88664-88673.
- [9]王瑞,程杉,汪业乔,等.基于多主体主从博弈的区域综合能源系统低碳经济优化调度[J].电力系统保护与控制,2022,50(5):12-21.WANG Rui,CHENG Shan,WANG Yeqiao,et al.Lowcarbon and economic optimization of a regional integrated energy system based on a master-slave game with multiple stakeholders[J]. Power System Protection and Control,2022,50(5):12-21.
- [10] KUMAR S,DWIVEDI B. Techno-economical study of power system market-A game theory approach[C]//2019International Conference on Automation,Computational and Technology Management(ICACTM),April 24-26,2019,London,UK.IEEE,2019:84-88.
- [11]魏婷婷,袁唯淋,罗俊仁,等.智能博弈对抗中的对手建模方法及其应用综述[J].计算机工程与应用,2022,58(9):19-29.WEI Tingting,YUAN Weilin,LUO Junren,et al.Survey of opponent modeling methods and applications in intelligent game confrontation[J]. Computer Engineering and Applications,2022,58(9):19-29.
- [12]陈曦,付文龙,张海荣,等.考虑新能源发电不确定性的含微电网群共享储能优化调度[J/OL].电网技术:1-17[2023-04-30].https://doi.org/10.13335/j.1000-3673.pst.2022.2541.Chen Xi,Fu Wenlong,Zhang Hairong,et al.Optimal dispatching strategyof shared energy storage and multimicrogrid considering the uncertainty of new energy generation[J/OL].Power System Technology:1-17[2023-04-30]. https://doi. org/10.13335/j. 1000-3673. pst. 2022.2541.
- [13] ETESAMI S R,SAAD W,MANDAYAM N B,et al.Stochastic games for the smart grid energy management with prospect prosumers[J].IEEE Transactions on Automatic Control,2018,63(8):2327-2342.
- [14]赵鹏杰,吴俊勇,张文浩,等.考虑配网潮流和源荷不确定性的多微电网点对点合作调度策略[J].电网技术,2022,46(12):4885-4896.ZHAO Pengjie,WU Junyong,ZHANG Wenhao,et al.Cooperative peer to peer scheduling of multi-microgrids considering distribution network power flow and source-load uncertainty[J].Power System Technology,2022,46(12):4885-4896.
- [15] JHALA K,NATARAJAN B,PAHWA A. Prospect theory-based active consumer behavior under variable electricity pricing[J].IEEE Transactions on Smart Grid,2019,10(3):2809-2819.
- [16]黄南天,包佳瑞琦,蔡国伟,等.多主体联合投资微电网源-储多策略有限理性决策演化博弈容量规划[J].中国电机工程学报,2020,40(4):1212-1225.HUANG Nantian,BAO Jiaruiqi,CAI Guowei,et al.Multiagent joint investment microgrid source-storage multistrategy bounded rational decision evolution game capacity planning[J].Proceedings of the CSEE,2020,40(4):1212-1225.
- [17]梅文明,李美成,张宇威,等.基于前景理论和VIKOR法的多能源微电网效益评价[J].供用电,2020,37(3):71-77.MEI Wenming,LI Meicheng,ZHANG Yuwei,et al.Benefit evaluation of multi-energy microgrid based on prospect theory and VIKOR method[J].Distribution&Utilization,2020,37(3):71-77.
- [18]王宇倩,李军祥,徐敏.区块链框架下基于前景理论的微网分布式能源协同优化[J].系统工程理论与实践,2022,42(9):2551-2564.WANG Yuqian,LI Junxiang,XU Min.Collaborative optimization of microgrid distributed energy based on prospect theory under blockchain framework[J].Systems EngineeringTheory&Practice,2022,42(9):2551-2564.
- [19] VAHID-PAKDEL M J,GHAEMI S,MOHAMMADIIVATLOO B,et al. Modeling noncooperative game of GENCOs’ participation in electricity markets with prospect theory[J].IEEE Transactions on Industrial Informatics,2019,15(10):5489-5496.
- [20] WANG Y,ZHANG L,DING Q,et al. Prospect theorybased optimal bidding model of a prosumer in the power market[J].IEEE Access,2020,8:137063-137073.
- [21] XIA Y X,XU Q S,HUANG Y,et al.Preserving privacy in nested peer-to-peer energy trading in networked microgrids considering incomplete rationality[J]. IEEE Transactions on Smart Grid,2023,14(1):606-622.
- [22]潘瑞媛,唐忠,史晨豪,等.基于主从博弈的多主体投资多微网系统优化配置[J].中国电力,2022,55(6):65-73.PAN Ruiyuan,TANG Zhong,SHI Chenhao,et al.Optimal configuration of multi-microgrid system with multiagent joint investment based on stackelberg game[J].Electric Power,2022,55(6):65-73.
- [23]冷亚军,岳鑫,卢毅勤,等.基于最小叉熵与前景理论的综合能源系统评价方法[J].智慧电力,2021,49(6):40-45.LENG Yajun,YUE Xin,LU Yiqin,et al. Evaluation method of comprehensive energy system based on minimum cross entropy and prospect theory[J].Smart Power,2021,49(6):40-45.
- [24] WU N,WANG H L,YIN L F,et al.Application conditions of bounded rationality and a microgrid energy management control strategy combining real-time power price and demand-side response[J]. IEEE Access,2020,8:227327-227339.
- [25]秦立公,张勇.碳限额与碳交易下考虑时间偏好差异的供应链联合减排动态博弈[J].工业工程,2022,25(5):55-64.QIN Ligong,ZHANG Yong.Dynamic game of joint emission reduction in supply chain considering time preference difference under carbon cap and carbon trading[J].Industrial Engineering Journal,2022,25(5):55-64.
- [26]冯万璐,权轶,付波,等.基于改进累积前景理论的电动运营车充电决策模型[J].电力工程技术,2023,42(2):170-179.FENG Wanlu,QUAN Yi,FU Bo,et al.Decision-making model for charging of operational EVs based on adapted cumulated prospect theory[J].Electric Power Engineering Technology,2023,42(2):170-179.
- [27]程杉,尚冬冬,魏昭彬,等.基于纳什议价博弈的微电网一体化电站分布式协调优化[J].电机与控制学报,2022,26(5):86-95.CHENG Shan,SHANG Dongdong,WEI Zhaobin,et al.Hierarchical and distributed coordination and optimization of microgrid with CSSIS based on Nash bargaining game[J].Electric Machines and Control,2022,26(5):86-95.
- [28]李刚,关雪,杨会峰,等.基于智能合约的微电网P2P能源交易策略研究[J].智能系统学报,2023,18(4):813-822.LI Gang,GUAN Xue,YANG Huifeng,et al.Peer-to-peer energy trading strategy of microgrid based on smart contract[J].CAAI Transactions on Intelligent Systems,2023,18(4):813-822.
- [29]谢元皓,林声宏,朱建全.基于双重博弈的含多微网配电网分层协调能量管理[J/OL].电测与仪表:1-12[2023-04-30]. http://kns. cnki. net/kcms/detail/23.1202. TH.20230303.1659.002.html.XieYuanhao,LinShenghong,ZhuJianquan. Hierarchicalenergy management of distribution network with multimicrogridsbased on two-loopStackelberg game[J/OL].Electrical Measurement&Instrumentation:1-12[2023-04-30].http://kns. cnki. net/kcms/detail/23.1202. TH. 20230303.1659.002.html.
- [30]刘奕彤,艾欣.基于主从博弈的独立储能系统参与日前现货联合市场的交易策略研究[J].现代电力,2023,40(5):751-759.LIU Yitong,AI Xin.Research on trading strategy of independent energy storage system participating in day ahead spot joint market based on master-slave game[J].Modern Electric Power,2023,40(5):751-759.
- [31]程江洲,潘飞,鲍刚.基于RCC-GRU模型的超短期风电功率预测方法[J].计算机仿真,2023,40(2):79-83.CHENG Jiangzhou,PAN Fei,BAO Gang. Ultra-shortterm wind power prediction method based onRCC-GRU model[J].Computer Simulation,2023,40(2):79-83.
- [32]徐鹤勇,张倩.基于数字孪生和改进LSTM的光伏发电预测技术[J].热能动力工程,2023,38(2):84-91.XU Heyong,ZHANG Qian. Photovoltaic power generation prediction technology based on digital twin and improved LSTM[J].Journal of Engineering for Thermal Energy and Power,2023,38(2):84-91.
- [33]黄薇,温蜜,张照贝.考虑用户用电行为聚类的电力负荷预测方法[J].计算机仿真,2022,39(12):148-153.HUANG Wei,WEN Mi,ZHANG Zhaobei. Power load forecasting method considering clustering of users'electricity consumption behavior[J].Computer Simulation,2022,39(12):148-153.
- [34]罗涌恒,姜飞,孙梦琪,等.基于前景理论和参考值变换的分布式能源站健康状态矢量动态评价[J].电网技术,2023,47(11):4438-4453.LUO Yongheng,JIANG Fei,SUN Mengqi,et al. Dynamic evaluation of health state vector of distributed energy stations based on prospect theory and reference value transformation[J]. Power System Technology,2023,47(11):4438-4453.
- [35]吴鸣,赵婷婷,赵凤展,等.微电网运行效果评价指标体系及评价方法[J].电网技术,2018,42(3):690-697.WU Ming,ZHAO Tingting,ZHAO Fengzhan,et al.Evaluation index system of microgrid operation effect and corresponding evaluation method[J].Power System Technology,2018,42(3):690-697.
- [36]彭冀浔,周明,武昭原,等.考虑低碳政策的储能容量价值分析[J/OL].现代电力:1-10[2023-04-30].https://doi.org/10.19725/j.cnki.1007-2322.2022.0368.PENG Jixun,ZHOU Ming,WU Zhaoyuan,et al.Analysis of energy storage capacity value considering low-carbon policies[J/OL]. Modern Electric Power:1-10[2023-04-30].https://doi.org/10.19725/j.cnki.1007-2322.2022.0368.