Distribution Network Planning Method Considering Distribution System Operators and Multi-agent Game

WU Yaxiong; SHEN Zhan; WU Kecheng

doi:10.13296/j.1001-1609.hva.2025.12.029

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Distribution Network Planning Method Considering Distribution System Operators and Multi-agent Game

Technical Discussion | 更新时间：2025-12-09

- Distribution Network Planning Method Considering Distribution System Operators and Multi-agent Game
- High Voltage Apparatus Vol. 61, Issue 12, Pages: 209-218(2025)
- 作者机构：
  
  中国南方电网有限责任公司，广州 510623
- 作者简介：
- 基金信息：
- DOI：10.13296/j.1001-1609.hva.2025.12.029
  CLC：
- Received：10 May 2025，
  
  Revised：2025-07-20，
  
  Published：16 December 2025
- 稿件说明：
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WU Yaxiong, SHEN Zhan, WU Kecheng. Distribution Network Planning Method Considering Distribution System Operators and Multi-agent Game[J]. High Voltage Apparatus, 2025, 61(12): 209-218.
DOI：

WU Yaxiong, SHEN Zhan, WU Kecheng. Distribution Network Planning Method Considering Distribution System Operators and Multi-agent Game[J]. High Voltage Apparatus, 2025, 61(12): 209-218. DOI： 10.13296/j.1001-1609.hva.2025.12.029.

摘要

在对配电网进行规划时，各市场主体的收益是以固定价格进行核算的，如何考虑在实际电力市场中电能价格对各主体规划方案的影响是目前亟需解决的重要问题。针对该问题，文中考虑到实际电力市场中由于供需关系的变化导致市场价格不断变化的情况，

从而提出一种考虑配电系统运营商（distribution system operator，DSO）和多主体博弈的配电网规划方法。首先以网架规划和分布式电源投运为决策变量分别构建了配网公司和电力用户不同利益主体的规划决策模型；其次引入配电系统运营商，基于配电网节点边际电价

DLMP

（distribution locational marginal pricing）理论建立电价核算模型；然后基于配电市场的规划运行机制，分析配网公司、电力用户和配电系统运营商之间的传递关系和博弈行为；从而建立一种考虑市场价格的多主体博弈规划模型，最后通过迭代搜索算法对上述模型进行求解。基于IEEE33节点配网系统的算例验证了文中方法的正确性和有效性。

Abstract

In case of planning the distribution network

the income of each market entity is calculated by fixed price. How to consider the influence of electricity price on the the planning scheme for each entity in actual power market is an important issue that needs to be solved urgently. As for the issue

considering the continuous change of the market price due to the change of supply-demand relationship in the actual power market

in this paper a distribution network planning method which considers the distribution system operator（DSO）and multi-agent game is proposed. First

the planning decision model of distribution company and electric utility is constructed to construct power lines and distributed generation respectively. Then

DSO is introduced and a price accounting model is set up based on distribution locational marginal price（

DLMP

）. After that

the transfer relationships and game behavior among distribution company

power users and DSO are analyzed. Finally

a multi-agent game planning model of distribution network considering price signal in electricity market is set up and solved by iterative search algorithm. Finally

The above model is solved through Iterative search algorithm . The correctness and efefctiveness of the method proposed in this paper are verified by the examples based on IEEE33-bus system .

关键词

Keywords

references

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 .

易晓东 . 基于博弈论赋权的电压暂降风险GRA-TOPSIS评估模型 [J ] . 电器与能效管理技术 , 2023 ( 8 ): 47 - 52 .

YI Xiaodong . GRA-TOPSIS evaluation model of voltage sag risk based on game theory weighting [J ] . Electrical & Energy Management Technology , 2023 ( 8 ): 47 - 52 .

洪智勇 , 林青瑜 . 含高比例分布式电源接入的配电网承载能力综合评估方法 [J ] . 大电机技术 , 2023 ( 04 ): 77 - 82 .

HONG Zhiyong , LIN Qingyu . A comprehensive evaluation method for carrying capacity of distribution networks with high proportion access of distributed power [J ] . Large Electric Machine and Hydraulic Turbine , 2023 ( 4 ): 77 - 82 .

徐来烽 , 张沈习 , 叶琳浩 , 等 . 考虑动态重构和智能软开关接入的配电网源网荷储联合规划 [J ] . 南方电网技术 , 2024 , 18 ( 4 ): 130 - 140 .

XU Laifeng , ZHANG Shenxi , YE Linhao , et al . Joint planning of source-network-load-storage in distribution network considering dynamic reconfiguration and intelligent soft open point [J ] . Southern Power System Technology , 2024 , 18 ( 4 ): 130 - 140 .

卢强 , 陈来军 , 梅生伟 . 博弈论在电力系统中典型应用及若干展望 [J ] . 中国电机工程学报 , 2014 , 34 ( 29 ): 5009 - 5017 .

LU Qiang , CHEN Laijun , MEI Shengwei . Typical applications and prospects of game theory in power system [J ] . Proceedings of the CSEE , 2014 , 34 ( 29 ): 5009 - 5017 .

梅生伟 , 王莹莹 , 刘锋 . 风—光—储混合电力系统的博弈论规划模型与分析 [J ] . 电力系统自动化 , 2011 , 35 ( 20 ): 13 - 19 .

MEI Shengwei , WANG Yingying , LIU Feng . A game theory based planning model and analysis for hybrid power system with wind generators-photovoltaic panels-storage batteries [J ] . Automation of Electric Power Systems , 2011 , 35 ( 20 ): 13 - 19 .

ZENG Bo , SHI Jinyue , WEN Junqiang , et al . Agame-theoretic framework for active distribution network planning to benefit different participants under the electricity market [J ] . Turkish Journal of Electrical Engineering & Computer Sciences , 2017 , 25 ( 1 ): 83 - 94 .

杨洪明 , 吴静斌 . 基于可动态调整风险偏好因子的发/售电一体型集团公司中长期交易合作博弈决策 [J ] . 电力建设 , 2023 , 44 ( 5 ): 149 - 160 .

YANG Hongming , WU Jingbin . Medium-and long-term trading cooperation game decision of power generating & trading integrated company based on dynamically adjusted risk aversion factor [J ] . Electric Power Construction , 2023 , 44 ( 5 ): 149 - 160 ..

王鹏飞 , 李世民 , 张磊 , 等 . 基于合作博弈的风—光—综合能源系统多主体协同运行策略 [J ] . 智慧电力 , 2023 , 51 ( 9 ): 52 - 59 .

WANG Pengfei , LI Shimin , ZHANG Lei , et al . Multi - agent cooperative operation strategy of wind-photovoltaic-integrated energy system based on cooperative game [J ] . Smart Power , 2023 , 51 ( 9 ): 52 - 59 .

王涛 , 钟浩 , 李世春 , 等 . 基于主从博弈的多微电网储能容量优化配置 [J ] . 智慧电力 , 2023 , 51 ( 1 ): 9 - 15 .

WANG Tao , ZHONG Hao , LI Shichun , et al . Optimal allocation of energy storage capacity in multi-microgrid based on master-slave game [J ] . Smart Power , 2023 , 51 ( 1 ): 9 - 15 .

CHEN Liao , JIA Wang , HU Shiyan . The power distribution network expansion planning based on stackelberg minimum weight K-star game [J ] . Journal of Circuits Systems & Computers , 2013 , 22 ( 6 ): 1350041 .

游奕弘 , 吴显 , 张华赢 , 等 . 基于博弈交叉DEA-多目标决策的分布式电源电能质量综合评估 [J ] . 电力电容器与无功补偿 , 2023 , 44 ( 1 ): 49 - 55 .

YOU Yihong , WU Xian , ZHANG Huaying , et al . Comprehensive assessment of power quality for distributed generation based on game cross DEA and multiple objective decision making [J ] . Power Capacitor & Reactive Power Compensation , 2023 , 44 ( 1 ): 49 - 55 .

董鑫坤 , 刘永慧 . 基于主从博弈的考虑无线充电道规划的电网调度策略 [J ] . 电力科学与技术学报 , 2024 , 39 ( 5 ): 91 - 101 .

DONG Xinkun , LIU Yonghui . Grid dispatching strategy for wireless charging road planning based on Stackelberg game [J ] . Journal of Electric Power Science and Technology , 2024 , 39 ( 5 ): 91 - 101 .

杨楠 , 董邦天 , 黄禹 , 等 . 考虑不确定性和多主体博弈的增量配电网源网荷协同规划方法 [J ] . 中国电机工程学报 , 2019 , 39 ( 9 ): 2689 - 2702 .

YANG Nan , DONG Bangtian , HUANG Yu , et al . Incremental distribution network source-load collaborative planning method considering uncertainty and multi-agent game [J ] . Proceedings of the CSEE , 2019 , 39 ( 9 ): 2689 - 2702 .

LI Ran , MA Huizhuo , WANG Heifei , et al . Game optimization theory and application in distribution system expansion planning, including distributed generation [J ] . Energies , 2013 , 6 ( 2 ): 1101 - 1124 .

康晓文 . 发挥电价信号优化资源配置的作用 [J ] . 中国电力企业管理 , 2014 ( 1 ): 30 - 31 .

KANG Xiaowen . Playing the role of electricity price signal in optimizing resource allocation [J ] . China Power Enterprise Management , 2014 ( 1 ): 30 - 31 .

陈丽霞 , 周云 , 方陈 , 等 . 考虑碳交易的发电商和电力用户竞价博弈 [J ] . 电力系统及其自动化学报 , 2019 , 31 ( 10 ): 66 - 72 .

CHEN Lixia , ZHOU Yun , FANG Chen , et al . Bidding game between power generation companies and consumers considering carbon trade [J ] . Proceedings of the CSU-EPSA , 2019 , 31 ( 10 ): 66 - 72 .

娄素华 , 吕梦璇 , 王永灿 , 等 . 考虑投资风险的含风电系统电源投资扩展规划研究 [J ] . 中国电机工程学报 , 2019 , 39 ( 7 ): 1944 - 1955 .

LOU Suhua , LYU Mengxuan , WANG Yongcan , et al . Generation investment expansion planning for wind power accommodation considering investment risk [J ] . Proceedings of the CSEE , 2019 , 39 ( 7 ): 1944 - 1955 .

王正 , 王佳伟 , 赵海波 , 等 . 考虑分布式电源节能减排和市场博弈行为的配电网络节点电价定价方法研究 [J ] . 电力系统保护与控制 , 2018 , 46 ( 20 ): 124 - 134 .

WANG Zheng , WANG Jiawei , ZHAO Haibo , et al . Study on LMP pricing method in distribution networks based on energy conservation and emission reduction of DG using market game behavior [J ] . Power System Protection and Control , 2018 , 46 ( 20 ): 124 - 134 .

胡俊杰 , 李阳 , 吴界辰 , 等 . 基于配网节点电价的产消者日前优化调度 [J ] . 电网技术 , 2019 , 43 ( 8 ): 2770 - 2780 .

HU Junjie , LI Yang , WU Jiechen , et al . A day-ahead optimization scheduling method for prosumer based on iterative distribution locational marginal price [J ] . Power System Technology , 2019 , 43 ( 8 ): 2770 - 2780 .

李博嵩 , 王旭 , 蒋传文 , 等 . 广泛负荷聚集商市场策略建模及风险效益分析 [J ] . 电力系统自动化 , 2018 , 42 ( 16 ): 119 - 126 .

LI Bosong , WANG Xu , JIANG Chuanwen , et al . Market strategy modeling and risk profit analysis of demand - side resource aggregator [J ] . Automation of Electric Power Systems , 2018 , 42 ( 16 ): 119 - 126 .

李书亚 , 解绍锋 , 马智泉 . 孤岛运行方式下柔性直流配网高次谐波谐振及抑制措施研究 [J ] . 电力电容器与无功补偿 , 2023 , 44 ( 5 ): 81 - 88 .

LI Shuya , XIE Shaofeng , MA Zhiquan . Research on high order harmonic resonance and suppression measures of flexible DC distribution network under isolated operation mode [J ] . Power Capacitor & Reactive Power Compensation , 2023 , 44 ( 5 ): 81 - 88 .

徐琪森 , 陈炯 , 徐广鹦 . 含分布式电源及电动汽车的园区微网优化运行方法 [J ] . 电测与仪表 , 2023 , 60 ( 4 ): 27 - 33 .

XU Qisen , CHEN Jiong , XU Guangying . Optimized operation method of park micro - grid containing distributed power and electric vehicles [J ] . Electrical Measurement & Instrumentation , 2023 , 60 ( 4 ): 27 - 33 .

徐来烽 , 张沈习 , 叶琳浩 , 等 . 考虑动态重构和智能软开关接入的配电网源网荷储联合规划 [J ] . 南方电网技术 , 2024 , 18 ( 4 ): 130 - 140 .

YANG Nan , SHEN Xu , LIANG Pengcheng , et al . Spatial-temporal optimal pricing for charging stations:A model-driven approach based on group price response behavior ofEVS [J ] . IEEE Transactions on Transportation Electrification , 2024 , 10 ( 4 ): 8869 - 8880 .

钱静 , 韩柳 , 张瑞雪 , 等 . 分布式资源有功调控配网二次系统功能规划方案研究 [J ] . 电力建设 , 2024 , 45 ( 6 ): 80 - 90 .

QIAN Jing , HAN Liu , ZHANG Ruixue , et al . Study on the secondary system function planning scheme of distributed resource active power control [J ] . Electric Power Construction , 2024 , 45 ( 6 ): 80 - 90 .

严敬汝 , 臧谦 , 赵宇皓 , 等 . 基于配网录波特征库的故障识别与保护定值整定及实现 [J ] . 电力科学与技术学报 , 2023 , 38 ( 2 ): 248 - 254 .

YAN Jingru , ZANG Qian , ZHAO Yuhao , et al . Implementation of distribution network fault identification and protection setting based on characteristic recording data map [J ] . Journal of Electric Power Science and Technology , 2023 , 38 ( 2 ): 248 - 254 .

杜威 , 刘东 , 李文云 , 等 . 基于配网节点电价的综合能源系统随机优化 [J ] . 电力建设 , 2020 , 41 ( 12 ): 141 - 151 .

DU Wei , LIU Dong , LI Wenyun , et al . Stochastic optimization of integrated energy system considering distribution locational marginal price [J ] . Electric Power Construction , 2020 , 41 ( 12 ): 141 - 151 .

杨玥 , 郭红兵 , 陈波 . 一起谐振引起的配网电压互感器故障分析及抑制措施 [J ] . 变压器 , 2023 , 60 ( 6 ): 48 - 53 .

YANG Yue , GUO Hongbing , CHEN Bo . Fault analysis and suppression measures of voltage transformer in distribution network caused by resonance [J ] . Transformer , 2023 , 60 ( 6 ): 48 - 53 .

YUAN Zhao , HESAMZADEH M R , BIGGAR D R . Distribution locational marginal pricing by convexified ACOPF and hierarchical dispatch [J ] . IEEE Transactions on Smart Grid , 2018 , 9 ( 4 ): 3133 - 3142 .

杨彦 , 陈皓勇 , 张尧 , 等 . 计及分布式发电和不完全信息可中断负荷选择的电力市场模型 [J ] . 中国电机工程学报 , 2011 , 31 ( 28 ): 15 - 24 .

YANG Yan , CHEN Haoyong , ZHANG Yao , et al . An electricity market model with distributed generation and interruptible load under incomplete information [J ] . Proceedings of the CSEE , 2011 , 31 ( 28 ): 15 - 24 .

WEI Hua , SASAKI H , KUBOKAWA J , et al . An interior point nonlinear programming for optimal power flow problems with a novel data structure [J ] . IEEE Transactions on Power Systems , 1998 , 13 ( 3 ): 870 - 877 .

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