Stochastic Evolutionary Game of Capacity Trading for Wind-Photovoltaic-Pumped Storage in Auxiliary Service Market

YANG Xian; CAI Ye; CAO Yijia; TAN Yudong

doi:10.7500/AEPS20241012004

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Stochastic Evolutionary Game of Capacity Trading for Wind-Photovoltaic-Pumped Storage in Auxiliary Service Market

Basic Research | 更新时间：2025-07-04

- Stochastic Evolutionary Game of Capacity Trading for Wind-Photovoltaic-Pumped Storage in Auxiliary Service Market
- Automation of Electric Power Systems Vol. 49, Issue 12, Pages: 140-152(2025)
- 作者机构：
  
  1.电网防灾减灾全国重点实验室（长沙理工大学），湖南省长沙市 410114
  2.智慧城市能源感知与边缘计算湖南省重点实验室（湖南城市学院），湖南省益阳市 413002
  3.国网湖南省电力有限公司经济技术研究院，湖南省长沙市 410004
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China(52307081);Science and Technology Innovation Program of Hunan Province(2024RC3163)
- DOI：10.7500/AEPS20241012004
  CLC：
- Received：12 October 2024，
  
  Revised：2025-02-11，
  
  Published Online：18 March 2025，
  
  Published：25 June 2025
- 稿件说明：
移动端阅览
杨娴,蔡晔,曹一家等.风-光-抽蓄辅助服务市场容量交易随机演化博弈[J].电力系统自动化,2025,49(12):140-152.

YANG Xian,CAI Ye,CAO Yijia,et al.Stochastic Evolutionary Game of Capacity Trading for Wind-Photovoltaic-Pumped Storage in Auxiliary Service Market[J].Automation of Electric Power Systems,2025,49(12):140-152.
杨娴,蔡晔,曹一家等.风-光-抽蓄辅助服务市场容量交易随机演化博弈[J].电力系统自动化,2025,49(12):140-152. DOI： 10.7500/AEPS20241012004.

YANG Xian,CAI Ye,CAO Yijia,et al.Stochastic Evolutionary Game of Capacity Trading for Wind-Photovoltaic-Pumped Storage in Auxiliary Service Market[J].Automation of Electric Power Systems,2025,49(12):140-152. DOI： 10.7500/AEPS20241012004.

摘要

针对新能源发电大规模扩张导致电力系统面临负荷低谷时段新能源消纳难、尖峰负荷时段电力保供难的“两难”困境，考虑抽水蓄能与新能源在联合运行中的被动地位及风光互补的局限性，将风电场、光伏电站和抽水蓄能电站均视为具有独立决策权的利益主体，基于随机演化博弈理论探究辅助服务市场下风电场、光伏电站和抽水蓄能电站在容量交易中的策略选择与动态决策过程。首先，基于容量交易市场机制分析不同运行模式下博弈主体的收益，深入刻画风-光-抽蓄参与容量交易辅助服务市场的现实情景；其次，为应对风-光-抽蓄三方博弈中的不确定性问题，引入高斯白噪声模拟演化过程中的随机扰动，从而构建不确定性条件下的风-光-抽蓄三方随机演化博弈模型，分析模型的均衡解及稳定性并得到稳态条件；最后，基于中国某省2020年实际数据仿真博弈主体策略行为的演化过程，验证了所提方法的可行性和有效性。结果表明，风电场选择“合作”策略是三方联盟稳定的前提，光伏电站在交易中最容易出现投机行为，而抽水蓄能电站的运行策略与容量交易规模密切相关。

Abstract

To address the “dual dilemma” faced by power systems due to large-scale renewable energy expansion

where renewable energy accommodation becomes challenging during low-load periods and power supply guarantee during peak load periods

the wind farms

photovoltaic (PV) power stations

and pumped storage power stations are regarded as the subjects with the right to make independent decisions considering the passive status of pumped storage in joint operations with renewable energy and the limitations of wind-PV complementarity. Based on the stochastic evolutionary game theory

the strategy selection and dynamic decision-making process among wind farms

PV power stations and pumped storage power stations during the capacity trading in the auxiliary service market is studied. First

based on the market mechanism of capacity trading

the benefits of game players with various operation modes are analyzed

and the realistic situation of wind-PV-pumped storage participating in the capacity trading of auxiliary service market is deeply depicted. Then

to address the issues of uncertainty in the tripartite game among wind-PV-pumped storage

the Gaussian white noise is introduced to simulate the random disturbances in the evolution process

so as to build a tripartite stochastic evolutionary game model of wind-PV-pumped storage under uncertain conditions

and the equilibrium solution and stability of the model are analyzed to obtain the steady-state conditions. Finally

taking the actual data of a certain province in China in 2020 as a case

the evolution process of the strategic behavior for game subjects is simulated to demonstrate the feasibility and effectiveness of the proposed method. The results show that the choice of “cooperation” strategy for wind farms is the premise of the stability of the tripartite alliance

the PV power station is most prone to speculation in the transaction

and the operation strategy of pumped storage power stations is closely related to the capacity trading scale.

关键词

Keywords

references

黄文涛，罗杰，葛磊蛟，等 . 考虑灵活碳捕集电厂与抽水蓄能联合的广义经济调度策略［J］. 中国电机工程学报， 2024 ， 44 （ 4 ）： 1430 - 1445 .

HUANG Wentao ， LUO Jie ， GE Leijiao ， et al . Consider a generalized economic dispatch strategy combining flexible carbon capture power plants and pumped storage ［J］. Proceedings of CSEE ， 2024 ， 44 （ 4 ）： 1430 - 1445 .

ALHARBI H ， BHATTACHARYA K . Participation of pumped hydro storage in energy and performance-based regulation markets ［J］. IEEE Transactions on Power Systems ， 2020 ， 35 （ 6 ）： 4307 - 4323 .

国家能源局 . 抽水蓄能中长期发展规划［EB/OL］.［ 2024-01-23 ］. http：//zfxxgk.nea.gov.cn/2021-09/17/c_1310193456.htm http://zfxxgk.nea.gov.cn/2021-09/17/c_1310193456.htm .

National Energy Administration . Medium and long term development plan of pumped storage ［EB/OL］. ［ 2024-01-23 ］. http：//zfxxgk.nea.gov.cn/2021-09/17/c_1310193456.htm http://zfxxgk.nea.gov.cn/2021-09/17/c_1310193456.htm .

国家发展改革委 . 关于抽水蓄能电站容量电价及有关事项的通知［EB/OL］.［ 2024-05-15 ］. https：//www.ndrc.gov.cn/xxgk/zcfb/tz/202305/t20230515_1355744.html https://www.ndrc.gov.cn/xxgk/zcfb/tz/202305/t20230515_1355744.html .

National Development and Reform Commission . Notice on capacity electricity pricing and related matters for pumped storage power stations ［EB/OL］. ［ 2024-05-15 ］. https：//www.ndrc.gov.cn/xxgk/zcfb/tz/202305/t20230515_1355744.html https://www.ndrc.gov.cn/xxgk/zcfb/tz/202305/t20230515_1355744.html .

广东省能源局 . 国家能源局南方监管局关于2024年电力市场交易有关事项的通知［EB/OL］.［ 2023-11-21 ］. https：//mp.weixin.qq.com/s/22p2UalO-pXuRlD7ljvnpQ https://mp.weixin.qq.com/s/22p2UalO-pXuRlD7ljvnpQ .

Guangdong Provincial Energy Bureau . Notice of the Southern Regulatory Bureau of the National Energy Administration on matters related to electricity market transactions in 2024 ［EB/OL］. ［ 2023-11-21 ］. https：//mp.weixin.qq.com/s/22p2UalO-pXuRlD7ljvnpQ https://mp.weixin.qq.com/s/22p2UalO-pXuRlD7ljvnpQ .

PARK H ， BALDICK R . Optimal capacity planning of generation system integrating uncertain solar and wind energy with seasonal variability ［J］. Electric Power Systems Research ， 2020 ， 180 ： 106072 .

刘忠，陈星宇，邹淑云，等 . 计及碳排放的风-光-抽水蓄能系统容量优化配置方法［J］. 电力系统自动化， 2021 ， 45 （ 22 ）： 9 - 18 .

LIU Zhong ， CHEN Xingyu ， ZOU Shuyun ， et al . Optimal capacity configuration method for wind-photovoltaic-pumped-storage system considering carbon emission ［J］. Automation of Electric Power Systems ， 2021 ， 45 （ 22 ）： 9 - 18 .

谢开，刘敦楠，李竹，等 . 适应新型电力系统的多维协同电力市场体系［J］. 电力系统自动化， 2024 ， 48 （ 4 ）： 2 - 12 .

XIE Kai ， LIU Dunnan ， LI Zhu ， et al . Multi-dimensional collaborative electricity market system for new power system ［J］. Automation of Electric Power Systems ， 2024 ， 48 （ 4 ）： 2 - 12 .

张洪基，丁涛，黄雨涵，等 . 电力市场环境下抽水蓄能电站容量电费定价与成本分摊方法［J］. 电力系统自动化， 2024 ， 48 （ 11 ）： 88 - 99 .

ZHANG Hongji ， DING Tao ， HUANG Yuhan ， et al . Pricing and cost allocation methods for capacity charges of pumped storage power stations in electricity market environment ［J］. Automation of Electric Power Systems ， 2024 ， 48 （ 11 ）： 88 - 99 .

谭玉东，周年光，杨娴，等 . 考虑风险效用的风光水火抽蓄日前联合半调度方法［J］. 电气工程学报， 2024 ， 19 （ 2 ）： 229 - 238 .

TAN Yudong ， ZHOU Nianguang ， YANG Xian ， et al . Combined semi-dispatch method of wind， light， water， fire and storage with risk utility ［J］. Journal of Electrical Engineering ， 2024 ， 19 （ 2 ）： 229 - 238 .

彭春华，熊志盛，张艺，等 . 基于多场景置信间隙决策的风光储联合鲁棒规划［J］. 电力系统自动化， 2022 ， 46 （ 16 ）： 178 - 187 .

PENG Chunhua ， XIONG Zhisheng ， ZHANG Yi ， et al . Joint robust planning of wind-photovoltaic-energy storage system based on multi-scenario confidence gap decision ［J］. Automation of Electric Power Systems ， 2022 ， 46 （ 16 ）： 178 - 187 .

孙大雁，史新红，冯树海，等 . 全国统一电力市场环境下的电力辅助服务市场体系设计［J］. 电力系统自动化， 2024 ， 48 （ 4 ）： 13 - 24 .

SUN Dayan ， SHI Xinhong ， FENG Shuhai ， et al . Design of auxiliary service market system under national unified electricity market ［J］. Automation of Electric Power Systems ， 2024 ， 48 （ 4 ）： 13 - 24 .

YAO Y ， HE Y ， WU H B ， et al . Multi-timescale hierarchical dispatch strategy of hybrid energy storage for multiple auxiliary service markets ［J］. Journal of Energy Storage ， 2025 ， 105 ： 114677 .

唐良，蔡晔，唐夏菲，等 . 考虑抽水蓄能电站参与容量交易辅助服务的双层优化策略［J/OL］. 电网技术［ 2024-01-23 ］. https：//link.cnki.net/urlid/11.2410.TM.20240123.1438.004 https://link.cnki.net/urlid/11.2410.TM.20240123.1438.004 .

TANG Liang ， CAI Ye ， TANG Xiafei ， et al . Bi-level optimization strategy considering the participation of pumped storage power plants in auxiliary services of capacity trading ［J/OL］. Power System Technology ［ 2024-01-23 ］. https：//link.cnki.net/urlid/11.2410.TM.20240123.1438.004 https://link.cnki.net/urlid/11.2410.TM.20240123.1438.004 .

黄邻熹，刘继春，刘阳 . 与新能源互补和独立参加多级市场的抽蓄电站容量分配策略［J］. 电网技术， 2024 ， 48 （ 12 ）： 4948 - 4957 .

HUANG Linxi ， LIU Jichun ， LIU Yang . Capacity allocation strategies for pumped storage plants that complement renewable energy sources and participate independently in the multi-level market ［J］. Power System Technology ， 2024 ， 48 （ 12 ）： 4948 - 4957 .

CHENG L F ， WEI X ， LI M L ， et al . Integrating evolutionary game-theoretical methods and deep reinforcement learning for adaptive strategy optimization in user-side electricity markets： a comprehensive review ［J］. Mathematics ， 2024 ， 12 （ 20 ）： 3241 .

LI W Y ， DONG F G ， JI Z S ， et al . Analysis of the compound differential evolution game of new energy manufacturers’ two-stage market behavior under the weight of consumption responsibility ［J］. Energy ， 2023 ， 264 ： 126299 .

赵洱岽，王浩，林弘杨 . 现货市场中基于演化博弈的火电企业阶梯报价策略［J］. 电力建设， 2020 ， 41 （ 8 ）： 68 - 77 .

ZHAO Erdong ， WANG Hao ， LIN Hongyang . Research on ladder bidding strategy of thermal power enterprises according to evolutionary game in spot market ［J］. Electric Power Construction ， 2020 ， 41 （ 8 ）： 68 - 77 .

张军，钟康骅，张勇军，等 . 基于混合博弈的多区域电-储共享运营模式与经济效益分析［J］. 电力系统自动化， 2024 ， 48 （ 3 ）： 31 - 41 .

ZHANG Jun ， ZHONG Kanghua ， ZHANG Yongjun ， et al . Hybrid game based sharing operation mode for multi-regional electric power and energy storage and its economic benefit analysis ［J］. Automation of Electric Power Systems ， 2024 ， 48 （ 3 ）： 31 - 41 .

LI X Z ， CHEN L J ， SUN F ， et al . Share or not share， the analysis of energy storage interaction of multiple renewable energy stations based on the evolution game ［J］. Renewable Energy ， 2023 ， 208 ： 679 - 692 .

程乐峰，余涛 . 发电市场长期竞价均衡自发形成过程中的一般多策略演化博弈决策行为研究［J］. 中国电机工程学报， 2020 ， 40 （ 21 ）： 6936 - 6956 .

CHENG Lefeng ， YU Tao . Decision-making behavior investigation for general multi-strategy evolutionary games in the spontaneous formation of long-term bidding equilibria of a power generation market ［J］. Proceedings of the CSEE ， 2020 ， 40 （ 21 ）： 6936 - 6956 .

曹阳，喻洁，李扬，等 . 基于演化博弈的区域综合能源市场零售侧竞争策略选择方法［J］. 电力系统自动化， 2023 ， 47 （ 5 ）： 104 - 113 .

CAO Yang ， YU Jie ， LI Yang ， et al . Evolutionary game based competition strategy selection method for retail side of regional integrated energy market ［J］. Automation of Electric Power Systems ， 2023 ， 47 （ 5 ）： 104 - 113 .

GOZZO F ， ANDERSON J B . The impact of white Gaussian noise mismatch on linear and decision feedback equalizers ［J］. IEEE Transactions on Communications ， 1995 ， 43 （ 2 ）： 173 - 177 .

HAYASHI M ， VÁZQUEZ-CASTRO Á . Covert communication with Gaussian noise： from random access channel to point-to-point channel ［J］. IEEE Transactions on Communications ， 2024 ， 72 （ 3 ）： 1516 - 1531 .

覃亚丽，梅济才，任宏亮，等 . 基于高斯平滑压缩感知分数阶全变分算法的图像重构［J］. 电子与信息学报， 2021 ， 43 （ 7 ）： 2105 - 2112 .

QIN Yali ， MEI Jicai ， REN Hongliang ， et al . Image reconstruction based on Gaussian smooth compressed sensing fractional order total variation algorithm ［J］. Journal of Electronics & Information Technology ， 2021 ， 43 （ 7 ）： 2105 - 2112 .

杨辉，莫峻 . 发电侧企业群体间竞价行为的随机演化博弈［J］. 电网技术， 2021 ， 45 （ 9 ）： 3389 - 3397 .

YANG Hui ， MO Jun . Stochastic evolutionary game of bidding behavior for generation side enterprise groups ［J］. Power System Technology ， 2021 ， 45 （ 9 ）： 3389 - 3397 .

FENG T J ， MEI J ， LI C ， et al . Stochastic evolutionary stability in matrix games with random payoffs ［J］. Physical Review E ， 2022 ， 105 （ 3 ）： 034303 .

文瑶 . 基于DEA及合作博弈的网络系统内合作收益测量与分配研究［D］. 长沙：中南大学， 2022 .

WEN Yao . Research on measurement and distribution of cooperative income in network system based on DEA and cooperative game ［D］. Changsha ： Central South University ， 2022 .

梅生伟，刘锋，魏韡 . 工程博弈论基础及电力系统应用［M］. 北京：科学出版社， 2016 .

MEI Shengwei ， LIU Feng ， WEI Wei . Basis of engineering game theory and application of power system ［M］. Beijing ： Science Press ， 2016 .

孙华丽，王循庆，薛耀锋 . 基于不同情景的群体性突发事件随机演化博弈模型［J］. 运筹与管理， 2016 ， 25 （ 4 ）： 23 - 30 .

SUN Huali ， WANG Xunqing ， XUE Yaofeng . Stochastic evolutionary game model for unexpected incidents involving mass participation based on different scenarios ［J］. Operations Research and Management Science ， 2016 ， 25 （ 4 ）： 23 - 30 .

ASHYRALYEV A ， OKUR Ü . Stability of stochastic partial differential equations ［J］. Axioms ， 2023 ， 12 （ 7 ）： 718 .

BAKER C T H ， BUCKWAR E . Exponential stability in p -th mean of solutions， and of convergent Euler-type solutions， of stochastic delay differential equations ［J］. Journal of Computational and Applied Mathematics ， 2005 ， 184 （ 2 ）： 404 - 427 .

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