Optimization Approach of Inter-Regional Electricity Transmission Price Considering the Cooperative Game Strategy of Generators

doi:10.12141/j.issn.1000-565X.230769

Abstract

Abstract:

Due to the uneven distribution of load centers and renewable resources in geographical locations, the reasonable allocation of resources in a wider range requires cross-regional electricity transmission. With the development of inter-regional electricity transmission and the power market, generators participating in the inter-regional market clearing may exercise market power through cooperative game strategies to maximize their own interests, resulting in the reduction of the utilization rate of inter-regional electricity transmission channels and thus influencing the recovery of lines’ permitted income. In response to the above problems, this paper proposed a tri-level model to optimize inter-regional electricity transmission price considering the cooperative game strategy of inter-regional units in the electricity market environment. The upper layer is a transmission electricity price optimization model with the goal of stable recovery of permitted income. The middle layer is a decision-making model of the report volume with the goal of the maximum revenue of the alliance.The lower layer is the regional power market clearing model with the participation of power generators outside the region. An modified C&CG algorithm was implemented to solve the proposed model, decomposing the model into master and sub-problem to be solved in alternating iterations. The master and sub-problems as the two-layer model were solved by converting Carlo-Kuhn-Tucker condition (KKT) and big M method into equivalent monolayer model, while the bilinear terms in the master and sub-problem models were transformed by strong duality theorem and variable discrete parametric method. Finally, PJM-5 node system demonstrates the proposed tri-level optimization model can better reflect the strategic decision and market power behavior of cross-region clearing interest alliance formed by power generators outside the cooperative game strategy, ensuring the formulation of transmission price can realize the stable recovery of the permitted income of the line under the influence of the cooperative game strategy of power producers outside the region.

Key words: inter-regional electricity transmission price, tri-level optimization, cooperative game strategy, electricity market

CLC Number:

TM731

DONG Ping, HUANG Shanchao, LIU Mingbo. Optimization Approach of Inter-Regional Electricity Transmission Price Considering the Cooperative Game Strategy of Generators[J]. Journal of South China University of Technology(Natural Science Edition), 2024, 52(9): 24-34.

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References 21

1	广州电力交易中心．南方区域跨区跨省电力中长期交易规则［DB/OL］．（2021-09-29）［2022-01-10］．
2	林凯颖．考虑不同市场环境特性的电力市场成员竞争性行为推演研究［D］．南京：东南大学，2023.
3	朱一兵，丛野，张粒子，等．跨国跨州/跨省跨区输电定价机制及对中国专项工程定价的启示［J］．电力系统自动化，2024，52（4）：86-100.
	ZHU Yibing， CONG Ye， ZHANG Lizi，et al ．Transnational/interstate and trans-provincial/trans-regional transmission pricing mechanism and its enlightenment for pricing of dedicated projects in China［J］．Automation of Electric Power Systems，2024，52（4）：86-100.
4	丛野．与电力现货市场协同的输电定价理论与方法研究［D］．北京：华北电力大学，2021.
5	陈政，张翔，荆朝霞，等．澳大利亚输电过网费定价机制分析［J］．南方电网技术，2017，11（2）：63-70.
	CHEN Zheng， ZHAN Xiang， JING Zhaoxia，et al ．Analysis on transmission network use of system charging methodology in australia［J］．Southern Power System Technology，2017，11（2）：63-70.
6	张森林，孙延明．关于南方电网西电东送输电电价形成机制的思考［J］．广东电力，2014，27（4）：7-12.
	ZHANG Senlin， SUN Yanming ．Reflect on formation mechanism of transmission price of west-east power transmission of southern power grid［J］．Guangdong Electric Power，2014，27（4）：7-12.
7	陈中飞，荆朝霞，谢文锦．多层级电网的输电定价机制分析［J］．电力建设，2018，39（7）：10-23.
	CHEN Zhongfei， JING Zhaoxia， XIE Wenjing ．Pricing mechanism of power transmission in multi-level grid［J］．Electric Power Construction，2018，39（7）：10-23.
8	RETA R， VARGAS A， VERSTEGE J ．Allocation of expansion transmission costs：areas of influence method versus economical benefit method［J］．IEEE Transactions on Power Systems，2005，20（3）：1647-1652.
9	VAISHYA S， SARKAR V ．A combined energy and transmission pricing scheme under ACOPF framework［C］∥Proceeding of the 2018 20th National Power Systems Conference（NPSC）．Tiruchirappalli：IEEE，2018：1-6.
10	WANG J， ZHONG H， TANG W，et al ．Tri-level expansion planning for transmission networks and distri-buted energy resources considering transmission cost allocation［J］．IEEE Transactions on Sustainable Energy，2018，9（4）：1844-1856.
11	ILIC M， HSIEH E， RAMANAN P ．Transmission pricing of distributed multilateral energy transactions to ensure system security and guide economic dispatch［J］．IEEE Transactions on Power Systems，2003，18（2）：428-434.
12	KURZIDEM M， ANDERSSON G ．A study of the transmission price conjecture in an oligopolistic power market［C］∥Proceeding of the 2007 IEEE Lausanne Power Technology．Lausanne：IEEE，2007：867-872.
13	张粒子，丛野，陶文斌，等．面向电力现货市场的专项工程两部制输电价格优化模型［J］．电力系统自动化，2020，44（23）：90-98.
	ZHANG Lizi， CONG Ye， TAO Wenbin，et al ．Optimization model of two-part transmission price for dedicated project oriented to power spot market［J］．Automation of Electric Power Systems，2020，44（23）：90-98.
14	XIAO W， LIU J， JAWAD S ．Clean energy included transmission price determination based on bi-level optimization in power spot market［C］∥Proceeding of the 2021 IEEE/IAS Industrial and Commercial Power System Asia （I&CPS Asia）．Chengdu：IEEE，2021：257-263.
15	KIM J， BIALEK S， UNEL B，et al ．Strategic policymaking for implementing renewable portfolio standards：a tri-Level optimization approach［J］．IEEE Transactions on Power Systems，2021，36（6）：4915-4927.
16	LV S， CHEN S， WEI Z，et al ．Tariff bounding and cooperation stability in power-traffic nexus：a social entity perspective［J］．IEEE Transactions on Smart Grid，2024，15（1）：687-700.
17	MOVAHEDNIA M， KARIMI H， JADID S ．A cooperative game approach for energy management of interconnected microgrids［J］．Electric Power Systems Research，2022，213：108772.
18	FANG X， HU Q， LI F，et al ．Coupon-based demand response considering wind power uncertainty：a strategic bidding model for load serving entities［J］．IEEE Tran-sactions on Power Systems，2015，31（2）：1025-1037.
19	YANG Y， CHEN Y， HU G，et al ．Optimal network charge for peer-to-peer energy trading：a grid perspective［J］．IEEE Transactions on Power Systems，2022，38（3）：2398-2410.
20	彭超逸，顾慧杰，朱文，等．交直流混联区域电网现货市场出清模型研究［J］．电网技术，2020，44（1）：323-331.
	PENG Chaoyi， GU Huijie， ZHU Wen，et al ．Study on spot market clearing model of regional power grid considering AC/DC hybrid connection［J］．Power System Technology，2020，44（1）：323-331.
21	曾君，王侨侨，刘俊峰，等．一种基于势博弈的微电网分布式运行优化算法［J］．中国电机工程学报，2017，37（24）：7195-7204，7433.
	ZENG Jun， WANG Jiaojiao， LIU Junfeng，et al ．An operation optimization algorithm of microgrid based on potential game［J］．Proceedings of the CSEE，2017，37（24）：7195-7204，7433.

输电电价/ （＄·MW^-1）	输电功率/MW		输电过网费/$
输电电价/ （＄·MW^-1）	线路1	线路2	线路1	线路2
（3，7）	150.0	100	450.0	700
（3.5，7）	52.4	100	183.4	700
（3，7.5）	150.0	100	450.0	750

种类	区内出清功率			总区外出清功率	总出清功率
种类	线路1	线路2		总区外出清功率	总出清功率
合作博弈	150	71.75	175.74		397.49
非合作博弈	150	100.00	147.49		397.49

种类	区内出清收益	区外出清收益	总出清收益
合作博弈	63 544.65	6 538.04	70 082.69
非合作博弈	59 376.77	6 490.35	65 867.12

[1]	Wang Shi-Yong Li Di Chen Chao. Application of Intelligent Agent-Based Simulation to Electricity Market [J]. Journal of South China University of Technology (Natural Science Edition), 2010, 38(3): 118-122.
[2]	Wang Ye-ping Yang Yan ring Zhao-xia Chen Hao-yong Chen Tian-en . Application of Intelligent Agent-Based Simulation to Electricity Market [J]. Journal of South China University of Technology (Natural Science Edition), 2010, 38(3): 109-113，122.
[3]	Liu Guo-zhong Wen Fu-shuan Dong Zhao-yang. Generation Investment Decision-Making at the Change of Electricity Market and CO2 Emission Policy [J]. Journal of South China University of Technology (Natural Science Edition), 2010, 38(3): 101-108.
[4]	Zhang Sen-lin Chen Hao-yong Qu Shao-qing. Nash Equilibrium-Based Bidding Strategy in Bilateral Trading Market [J]. Journal of South China University of Technology (Natural Science Edition), 2010, 38(10): 134-138.
[5]	Xiao Jian Wen Fu-shuan. Congestion Dispatch of Hybrid Electricity Market Based on Coordinated Constraint [J]. Journal of South China University of Technology (Natural Science Edition), 2009, 37(7): 112-118.
[6]	Ren Zhen Kuang Xin-wu Huang Wen-ying. Design of Interruptible Price in Electricity Market [J]. Journal of South China University of Technology (Natural Science Edition), 2006, 34(4): 70-74.
[7]	Gao Zhi-hua Ren Zhen Huang Wen-ying. Benefit Analysis of Participants During the Period with Insufi cient Electricity Supply [J]. Journal of South China University of Technology (Natural Science Edition), 2006, 34(4): 65-69.