An optimization method for imbalance funds in a multi-agent game-theoretic electricity market

王奖; 陈晓东; 许喆; 王景亮; 王立鹏

doi:10.11930/j.issn.1004-9649.202409028

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An optimization method for imbalance funds in a multi-agent game-theoretic electricity market

更新时间：2026-02-03

- An optimization method for imbalance funds in a multi-agent game-theoretic electricity market
- Vol. 59, Issue 1, Pages: 153-162(2026)
- 作者机构：
  
  1. 广州电力交易中心有限责任公司,广东,广州,510000
  2. 北京清大科越股份有限公司,北京,100102
- 作者简介：
- 基金信息：
- DOI：10.11930/j.issn.1004-9649.202409028
  CLC：
- Published Online：13 January 2026，
  
  Published：13 January 2026
- 稿件说明：
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王奖, 陈晓东, 许喆, 王景亮, 王立鹏. 基于多主体博弈的电力市场不平衡资金分摊优化方法[J]. 中国电力, 2026, 59(1): 153-162.

王奖, 陈晓东, 许喆, et al. An optimization method for imbalance funds in a multi-agent game-theoretic electricity market[J]. 2026, 59(1): 153-162.
王奖, 陈晓东, 许喆, 王景亮, 王立鹏. 基于多主体博弈的电力市场不平衡资金分摊优化方法[J]. 中国电力, 2026, 59(1): 153-162. DOI： 10.11930/j.issn.1004-9649.202409028.

王奖, 陈晓东, 许喆, et al. An optimization method for imbalance funds in a multi-agent game-theoretic electricity market[J]. 2026, 59(1): 153-162. DOI： 10.11930/j.issn.1004-9649.202409028.

摘要

随着中国电力市场改革的推进，中国电力现货市场各个试点地区在实际结算过程中均出现了不同规模的不平衡资金，这极大地影响了每个市场主体的效益，降低了市场效率。因此，提出基于多主体博弈的电力市场不平衡资金分摊优化方法，考虑到各省在中长期交易规则、能源结构、现货市场建设等方面存在显著差异，使用基于主体（agent-based model，ABM）的建模方法，刻画系统运营商、发电商等各个市场主体，基于强化学习探索不同分摊方法下各个市场主体的行为决策。基于Stackel-berg博弈框架，挖掘各个市场主体在不同分摊方法下的内生演化机制，评估多种不平衡资金分摊方法对市场效率等方面的影响。基于ABM和强化学习刻画了多市场主体之间的互动特征，构建内生演化机制模拟市场主体的风险规避特征，有利于挖掘各省差异化的不平衡资金分摊优化方法，避免资源错配。仿真结果表明：ABM算法与内生演化机制充分反映了市场主体的行为策略。当不平衡资金分摊方法造成部分资金外流时，激励相容性指标达到0.22，各个市场主体呈现出强烈保守态势；当不平衡资金分摊方法通过价差惩罚引导市场主体时，各个市场主体均采取积极策略，有效提升了市场运行效率。

Abstract

As China's power market reforms advance

pilot regions across the country have encountered imbalance funds of different scales during actual settlement processes in their spot power markets. This significantly impacts the profitability of each market participant and reduces market efficiency. Therefore

this study proposes an optimization method for allocating power market imbalance funds based on multi-agent games. Considering significant differences among provinces in medium-to-long-term trading rules

energy structures

and spot market development

an Agent-Based Model (ABM) is employed to characterize market participants such as system operators and power generators. Reinforcement learning is used to explore the behavioral decisions of these participants under different allocation methods. Second

within the Stackelberg game framework

we uncover the endogenous evolutionary mechanisms of market participants under different allocation methods

evaluating the impact of multiple imbalance fund allocation approaches on market efficiency and other metrics. By leveraging ABM and reinforcement learning to capture the interactive characteristics among multiple market participants and constructing endogenous evolutionary mechanisms to simulate risk-averse behaviors

this approach facilitates the identification of province-specific

optimized imbalance fund allocation proposed methods

thereby preventing resource misallocation. The results of the calculation examples show that the ABM algorithm and endogenous evolution mechanism fully reflect the behavioral strategies of market entities. When the imbalance fund allocation proposed method causes partial capital outflow

the incentive compatibility indicator reaches 0.22

and all market entities exhibit a strong conservative stance. When the imbalance fund allocation proposed method guides market entities through spread penalties

all market entities adopt proactive strategies

effectively improving market operational efficiency.

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references

1沈运帷, 岑闻雨, 周波. 考虑供电设备差异化报价的虚拟电厂电能量-调峰联合市场优化策略[J]. 中国电力, 2025, 58 (7): 115- 127.

SHEN Yunwei, CEN Wenyu, ZHOU Bo. Optimization strategy for virtual power plant combined electric energy and peak regulation market considering differentiated quotation of power supply equipment[J]. Electric Power, 2025, 58 (7): 115- 127.

2王景亮, 许喆, 陈晓东, 等. 计及能量-备用联合出清的区域电力市场增益分配机制[J]. 中国电力, 2025, 58 (10): 216- 224.

WANG Jingliang, XU Zhe, CHEN Xiaodong, et al. Gain allocation mechanism for regional electricity markets considering energy-reserve joint clearing[J]. Electric Power, 2025, 58 (10): 216- 224.

3钟立华, 潘峰, 杨雨瑶, 等. 碳计量视角下绿色电力交易对碳市场主体行为决策的影响机制研究[J]. 电测与仪表, 2025, 62 (1): 68- 79.

ZHONG Lihua, PAN Feng, YANG Yuyao, et al. A study on the impact mechanism of green electricity trading on the decision-making behavior of carbon market participants from the perspective of carbon measurement[J]. Electrical Measurement & Instrumentation, 2025, 62 (1): 68- 79.

4许喆, 陈晓东, 贾旭东, 等. 考虑可再生能源配额的区域电力市场竞价行为推演[J]. 中国电力, 2025, 58 (10): 225- 234.

XU Zhe, CHEN Xiaodong, JIA Xudong, et al. Bidding behavior evolution in regional electricity markets considering renewable energy quotas[J]. Electric Power, 2025, 58 (10): 225- 234.

5何旭东, 刘炜焘, 郑宇辰, 等. 双碳目标下需求侧参与的电力市场电能响应相关策略研究[J]. 电测与仪表, 2025, 62 (12): 41- 47.

HE Xudong, LIU Weitao, ZHENG Yuchen, et al. Study on relevant strategies of power response in electricity market with demand-side participation under dual-carbon target[J]. Electrical Measurement & Instrumentation, 2025, 62 (12): 41- 47.

6刘禹彤, 程孟增, 张明理, 等. 基于多重混合博弈的云储能市场优化运行策略[J]. 沈阳工业大学学报, 2024, 46 (3): 270- 276.

LIU Yutong, CHENG Mengzeng, ZHANG Mingli, et al. Optimal operation strategy for cloud energy storage market based on multiple mixed games[J]. Journal of Shenyang University of Technology, 2024, 46 (3): 270- 276.

7LIN X S, HUANG T, LIU X, et al. A long-term congestion management framework through market zone configuration considering collusive bidding in joint spot markets[J]. IEEE Transactions on Power Systems, 2025, 40 (1): 299- 313.

8刘丽, 叶钰童, 王宝, 等. 面向省间电力现货市场的购电博弈竞价模型[J]. 浙江电力, 2024, 43 (7): 111- 119.

LIU Li, YE Yutong, WANG Bao, et al. A game bidding model for electricity purchasing tailored to inter-provincial electric-ity spot market[J]. Zhejiang Electric Power, 2024, 43 (7): 111- 119.

9郁海彬, 张煜晨, 刘扬洋, 等. 碳交易机制下多主体虚拟电厂参与电力市场的优化调度竞标策略[J]. 发电技术, 2023, 44 (5): 634- 644.

YU Haibin, ZHANG Yuchen, LIU Yangyang, et al. Optimal dispatching bidding strategy of multi-agent virtual power plant participating in electricity market under carbon trading mechanism[J]. Power Generation Technology, 2023, 44 (5): 634- 644.

10王正风, 王吉文, 高卫恒, 等. 电力现货市场阻塞费用结算机制分析[J]. 浙江电力, 2024, 43 (1): 57- 63.

WANG Zhengfeng, WANG Jiwen, GAO Weiheng, et al. Analysis of congestion cost settlement mechanisms in electricity spot market[J]. Zhejiang Electric Power, 2024, 43 (1): 57- 63.

11YANG B, LIU S W, GAO H D. Energy e-commerce user portrait and multi-agent cooperative game price mechanism design[J]. Frontiers in Energy Research, 2024, 12, 1379612.

12张潮, 顾卫祥, 雍康倩, 等. 考虑特高压直流输电影响的省间电力现货市场协调交易方法[J]. 浙江电力, 2024, 43 (5): 83- 90.

ZHANG Chao, GU Weixiang, YONG Kangqian, et al. A coordinated trading method for the inter-provincial electricity spot market consid-ering the impact of UHVDC transmission systems[J]. Zhejiang Electric Power, 2024, 43 (5): 83- 90.

13武昭原, 周明, 寇英刚, 等. 基于ABM模型的不平衡资金分配机制研究[J]. 电网技术, 2021, 45 (9): 3408- 3416.

WU Zhaoyuan, ZHOU Ming, KOU Yinggang, et al. Imbalance capital allocation mechanism based on agent-based model[J]. Power System Technology, 2021, 45 (9): 3408- 3416.

14秦正斌, 张午寅, 田海平, 等. 基于区域保供电和新能源消纳的常规抽水蓄能项目投资效益测算研究[J]. 湖南电力, 2025, 45 (1): 46- 53.

QIN Zhengbin, ZHANG Wuyin, TIAN Haiping, et al. Research on investment benefits calculation of conventional pumped storage projects based on regional power supply and new energy consumption[J]. Hunan Electric Power, 2025, 45 (1): 46- 53.

15王元元, 刘航航, 司君诚, 等. 电能量-调频联合市场中储能电站的参与策略分析[J]. 山东电力技术, 2024, 51 (10): 55- 66.

WANG Yuanyuan, LIU Hanghang, SI Juncheng, et al. Analysis on the strategies of energy storage stations participating in the electricity energy-regulation joint market[J]. Shandong Electric Power, 2024, 51 (10): 55- 66.

16魏宇平, 郑琼璇, 伍奕涵, 等. 灵活电力交易数据生成组件的设计与实现[J]. 湖南电力, 2024, 44 (2): 90- 96.

WEI Yuping, ZHENG Qiongxuan, WU Yihan, et al. Design and implementation of flexible electricity trading data generation components[J]. Hunan Electric Power, 2024, 44 (2): 90- 96.

17YE H X, GE Y Y, SHAHIDEHPOUR M, et al. Uncertainty marginal price, transmission reserve, and day-ahead market clearing with robust unit commitment[J]. IEEE Transactions on Power Systems, 2017, 32 (3): 1782- 1795.

18刘硕, 杨燕, 杨知方, 等. 计及新能源随机特性的备用容量确定及其成本分摊[J]. 电力系统自动化, 2023, 47 (4): 10- 18.

LIU Shuo, YANG Yan, YANG Zhifang, et al. Reserve capacity determination and its cost allocation considering stochastic characteristics of renewable energy[J]. Automation of Electric Power Systems, 2023, 47 (4): 10- 18.

19THOMAS D, KAZEMPOUR J, PAPAKONSTANTINOU A, et al. A local market mechanism for physical storage rights[J]. IEEE Transactions on Power Systems, 2020, 35 (4): 3087- 3099.

20TAYLOR J A. Financial storage rights[J]. IEEE Transactions on Power Systems, 2015, 30 (2): 997- 1005.

21王剑晓, 钟海旺, 夏清, 等. 基于价值公平分配的电力市场竞争机制设计[J]. 电力系统自动化, 2019, 43 (2): 7- 17.

WANG Jianxiao, ZHONG Haiwang, XIA Qing, et al. Competitive mechanism design in electricity market based on fair benefit allocation[J]. Automation of Electric Power Systems, 2019, 43 (2): 7- 17.

22龙苏岩, 冯凯, 徐骏, 等. 电力现货市场下不平衡费用构成及分摊机制研究[J]. 电网技术, 2019, 43 (8): 2649- 2657.

LONG Suyan, FENG Kai, XU Jun, et al. Research on unbalanced cost composition and allocation mechanism in spot electricity market[J]. Power System Technology, 2019, 43 (8): 2649- 2657.

23栾天, 杨争林, 李继红, 等. 适应电化学储能成本特性的电力市场机制设计[J]. 电力系统自动化, 2024, 48 (4): 101- 110.

LUAN Tian, YANG Zhenglin, LI Jihong, et al. Design of electricity market mechanism adapting to cost characteristics of electrochemical energy storage[J]. Automation of Electric Power Systems, 2024, 48 (4): 101- 110.

24王斯琪, 曹昉, 姚力. 计及多级市场代理购电成本传导风险的分时电价定价模型[J]. 中国电力, 2025, 58 (11): 25- 37.

WANG Siqi, CAO Fang, YAO Li. Time-of-use pricing model considering the risk of cost transmission in multi-level market agent electricity purchase[J]. Electric Power, 2025, 58 (11): 25- 37.

25刘艺锋, 李玉婷, 彭欣然, 等. 电力现货市场下中长期合约价值分析及定价建议[J]. 南方能源建设, 2025, 12 (2): 169- 180.

LIU Yifeng, LI Yuting, PENG Xinran, et al. Value analysis and pricing recommendations for medium-and long-term contracts in the electricity spot market[J]. Southern Energy Construction, 2025, 12 (2): 169- 180.

26张银芽, 李锋, 刘念, 等. 区域中长期合约电量输电路径优化对省内现货市场出清的影响[J]. 广东电力, 2024, 37 (5): 43- 51.

ZHANG (Yin)(YaYai), LI Feng, LIU Nian, et al. Impact of transmission path optimization of regional medium and long term contracted electricity on provincial spot market clearance[J]. Guangdong Electric Power, 2024, 37 (5): 43- 51.

27陈泽维, 吴佳乐, 王善立, 等. 基于模拟测算的新型储能商业模式及收益水平[J]. 南方能源建设, 2024, 11 (6): 142- 152.

CHEN Zewei, WU (Jia)(LeYue), WANG Shanli, et al. New energy storage business models and revenue levels based on simulation calculation[J]. Southern Energy Construction, 2024, 11 (6): 142- 152.

28梁海平, 王金英. 计及双重不确定性的光储充电站日前电力市场交易研究[J]. 综合智慧能源, 2025, 47 (5): 62- 72.

LIANG Haiping, WANG Jinying. Research on day-ahead electricity market trading of photovoltaic and energy storage charging stations considering dual uncertainties[J]. Integrated Intelligent Energy, 2025, 47 (5): 62- 72.

29WANG J L, ZHOU Y D, ZHANG Y, et al. Risk-averse optimal combining forecasts for renewable energy trading under CVaR assessment of forecast errors[J]. IEEE Transactions on Power Systems, 2024, 39 (1): 2296- 2309.

30白留星, 吴飞宇, 叶露阳, 等. 考虑风电不确定性的电力现货市场联合出清模型[J]. 综合智慧能源, 2025, 47 (5): 73- 83.

BAI Liuxing, WU Feiyu, YE Luyang, et al. A joint clearing model of electricity spot market considering wind power uncertainty[J]. Integrated Intelligent Energy, 2025, 47 (5): 73- 83.

31谭洪, 杨彪, 张延旭, 等. 虚拟电厂设计与运营[M]. 北京: 中国电力出版社, 2025.

32闫娜, 严欢, 贾宏刚, 等. 面向新能源高占比地区的混合储能优化配置及运行策略[J]. 电网与清洁能源, 2024, 40 (7): 18- 27.

YAN Na, YAN Huan, JIA Honggang, et al. Optimization configuration and operation strategy of hybrid energy storage for areas with a high proportion of new energy[J]. Advances of Power System & Hydroelectric Engineering, 2024, 40 (7): 18- 27.

33李祥光, 谭青博, 李帆琪, 等. 电碳耦合对煤电机组现货市场结算电价影响分析模型[J]. 中国电力, 2024, 57 (5): 113- 125.

LI Xiangguang, TAN Qingbo, LI Fanqi, et al. Analysis model to study the influence of electrocarbon coupling on settlement price of coal power units in spot market[J]. Electric Power, 2024, 57 (5): 113- 125.

34齐屹, 张静, 刘菁, 等. 新能源入市风险下计及影响层的现货限价自适模型[J]. 中国电力, 2024, 57 (11): 94- 101.

QI Yi, ZHANG Jing, LIU Jing, et al. A spot price limit adaptive model considering the impact layer under the risk of new energy entering the market[J]. Electric Power, 2024, 57 (11): 94- 101.

35陆雯, 王舒颦, 章丽娜, 等. 考虑现货市场价格不确定性的市场化用户中长期合同电量曲线分解策略[J]. 浙江电力, 2024, 43 (7): 120- 128.

LU Wen, WANG Shupin, ZHANG Lina, et al. A curve decomposition strategy for medium-to-long term contract energy of market-based customers considering price uncertainty in spot market[J]. Zhejiang Electric Power, 2024, 43 (7): 120- 128.

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