Power Flow Distribution Model Based on Classical Non-cooperative Game for Determining Minimum Generator Number

Quan CHEN; Xiaoming DONG; Ming YANG; Haifeng LI; Tao JIN; Mengxia WANG

doi:10.7500/AEPS20190727004

您当前的位置：

首页 >

文章列表页 >

Power Flow Distribution Model Based on Classical Non-cooperative Game for Determining Minimum Generator Number

Basic Research | 更新时间：2025-06-16

- Power Flow Distribution Model Based on Classical Non-cooperative Game for Determining Minimum Generator Number
- Automation of Electric Power Systems Vol. 44, Issue 10, Pages: 111-118(2020)
- 作者机构：
  
  1. 电网智能化调度与控制教育部重点实验室(山东大学)，山东省济南市 250061
  2. 国网江苏省电力有限公司，江苏省南京市 210024
- 作者简介：
- 基金信息：
  
  State Grid Corporation of China;National Natural Science Foundation of China;Shandong Provincial Natural Science Foundation of China
- DOI：10.7500/AEPS20190727004
  CLC：
- Received：27 July 2019，
  
  Revised：2019-12-06，
  
  Published Online：30 April 2020，
  
  Published：25 May 2020
- 稿件说明：
移动端阅览
陈全,董晓明,杨明等.用于最小开机数判定的经典非合作博弈潮流分布模型[J].电力系统自动化,2020,44(10):111-118.

CHEN Quan,DONG Xiaoming,YANG Ming,et al.Power Flow Distribution Model Based on Classical Non-cooperative Game for Determining Minimum Generator Number[J].Automation of Electric Power Systems,2020,44(10):111-118.
陈全,董晓明,杨明等.用于最小开机数判定的经典非合作博弈潮流分布模型[J].电力系统自动化,2020,44(10):111-118. DOI： 10.7500/AEPS20190727004.

CHEN Quan,DONG Xiaoming,YANG Ming,et al.Power Flow Distribution Model Based on Classical Non-cooperative Game for Determining Minimum Generator Number[J].Automation of Electric Power Systems,2020,44(10):111-118. DOI： 10.7500/AEPS20190727004.

摘要

在中国东部沿海地区直流供电占比逐步增加，对受端电网安全稳定运行提出了更高要求，也使得以电压稳定为目标的最小开机数判定成为新形势下需要研究的问题。首先，明确最小开机数判定优化目标，包含多层协调的非线性混合整数优化问题；其次，基于经典非合作博弈建立博弈潮流分布求解模型，同时考虑功率备用、薄弱线路、重点负荷、特殊注入功率因素对模型进行完善，将最小开机数判定优化问题转化为以计算博弈平衡为主的问题，并将博弈潮流分布模型应用于最小开机数判定并给出判定方法。最后，采用IEEE 162节点系统算例和中国山东电网实际数据判定最小开机数，通过与牛顿法的计算结果对比分析和灵敏度分析验证了博弈潮流分布模型的合理性。

Abstract

The increasing ratio of DC power supply in the eastern coastal region puts forward the higher requirements for the safe and stable operation of the receiving-end power grid. Thus

it makes the problem of determining the minimum generator number using the voltage stability as the objective is becoming the research hot topic in the new situation. Firstly

this paper proposes the optimization target for determining the minimum generator number

which can be treated as complex nonlinear and integer optimization problem. Secondly

based on the classical non-cooperative game theory

game power flow distribution model is established. At the same time

the established model is improved by considering the power capacity reserve

weak line

critical loads

and special injection power. Converting minimum generator number optimization model into calculating game balance problems

the determination method of minimum generator number is proposed. Finally

the minimum generator number is determined in the test of IEEE 162-node system and Shandong power grid of China

and the rationality of the game power flow distribution model is verified by sensitivity analysis and the comparison between the calculation results from proposed method and Newton method.

关键词

Keywords

references

王晓辉，陈庆军，张彦涛，等 . 特高压直流分层接入的稳定性模态分析方法 [J]. 电网技术 , 2018 , 42 ( 9 ): 2869 - 2878 .

WANG Xiaohui , CHEN Qingjun , ZHANG Yantao , et al . Modal analysis on system stability of UHVDC hierarchical connection to AC grid [J]. Power System Technology , 2018 , 42 ( 9 ): 2869 - 2878 .

付蓉，周振凯，李群，等 . 特高压直流分层接入方式下受端换流母线电压稳定裕度分析 [J]. 高电压技术 , 2018 , 44 ( 7 ): 2393 - 2401 .

FU Rong , ZHOU Zhenkai , LI Qun , et al . Study on the voltage stability margin index of the receiving end converter buses under UHVDC hierarchical connection mode [J]. High Voltage Engineering , 2018 , 44 ( 7 ): 2393 - 2401 .

陆晶晶 , 贺之渊 , 赵成勇 , 等 . 直流输电网规划关键技术与展望 [J]. 电力系统自动化 , 2019 , 43 ( 2 ): 182 - 191 .

LU Jingjing , HE Zhiyuan , ZHAO Chengyong , et al . Key technologies and prospects for DC power grid planning [J]. Automation of Electric Power Systems , 2019 , 43 ( 2 ): 182 - 191 .

程耀华 , 张宁 , 王佳明 , 等 . 面向高比例可再生能源并网的输电网规划方案综合评价 [J]. 电力系统自动化 , 2019 , 43 ( 3 ): 33 - 42 .

CHENG Yaohua , ZHANG Ning , WANG Jiaming , et al . Comprehensive evaluation of transmission network planning for integration of high-penetration renewable energy [J]. Automation of Electric Power Systems , 2019 , 43 ( 3 ): 33 - 42 .

辛建波，舒展，谭阳琛，等 . 特高压直流分层接入下换相失败预防协调控制 [J]. 电网技术， 2019 , 43 ( 10 ): 3543 - 3551 .

XIN Jianbo , SHU Zhan , TAN Yangchen , et al . Coordinated control of commutation failure prevention for UHVDC hierarchical connection to AC grid [J]. Power System Technology , 2019 , 43 ( 10 ): 3543 - 3551 .

CHENG Lefeng , YU Tao . Game-theoretic approaches applied to transactions in the open and ever-growing electricity markets from the perspective of power demand response: an overview [J]. IEEE Access , 2019 , 7 : 25727 - 25762 .

蒋玮 , 吴杰 , 冯伟 , 等 . 日前电力市场不完全信息条件下的电力供需双边博弈模型 [J]. 电力系统自动化 , 2019 , 43 ( 2 ): 18 - 24 .

JIANG Wei , WU Jie , FENG Wei , et al . Bilateral game model of power supply and demand sides with incomplete information in day-ahead electricity market [J]. Automation of Electric Power Systems , 2019 , 43 ( 2 ): 18 - 24 .

林赟 . 电力市场环境下多微电网博弈调度研究 [D]. 广州 : 华南理工大学 , 2018 .

LIN Yun . A study of dispatch for multi-microgrid based on game theory in electricity market [D]. Guangzhou : South China University of Technology , 2018 .

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 .

程乐峰，余涛 . 开放电力市场环境下多群体非对称演化博弈的均衡稳定性典型场景分析 [J]. 中国电机工程学报 , 2018 , 38 ( 19 ): 5687 - 5703 .

CHENG Lefeng , YU Tao . Typical scenario analysis of equilibrium stability of multi-group asymmetric evolutionary games in the open and ever-growing electricity market [J]. Proceedings of the CSEE , 2018 , 38 ( 19 ): 5687 - 5703 .

WANG K , OUYANG Z , KRISHNAN R , et al . A game theory-based energy management system using price elasticity for smart grids [J]. IEEE Transactions on Industrial Informatics , 2015 , 11 ( 6 ): 1607 - 1616 .

张旭 , 代悦 , 张东英 , 等 . 基于合作博弈的风电爬坡控制策略 [J]. 电力系统自动化 , 2019 , 43 ( 15 ): 42 - 48 .

ZHANG Xu , DAI Yue , ZHANG Dongying , et al . Cooperative game based ramping control strategy for wind power [J]. Automation of Electric Power Systems , 2019 , 43 ( 15 ): 42 - 48 .

李鹏 , 王子轩 , 侯磊 , 等 . 基于重复博弈的区域综合能源系统优化运行分析 [J]. 电力系统自动化 , 2019 , 43 ( 14 ): 81 - 89 .

LI Peng , WANG Zixuan , HOU Lei , et al . Analysis of repeated game based optimal operation for regional integrated energy system [J]. Automation of Electric Power Systems , 2019 , 43 ( 14 ): 81 - 89 .

郭旭升，文汀，林湘宁，等 . 面向多利益主体的清洁能源化大型离网海岛源储一体化优化定容 [J]. 中国电机工程学报 , 2019 , 39 ( 增刊1 ): 1 - 14 .

GUO Xusheng , WEN Ting , LIN Xiangning , et al . Integration capacity optimization of multi-stakeholder generation-storage on large-scale off-grid island [J]. Proceedings of the CSEE ， 2019 , 39 (Supplement 1 ): 1 - 14 .

PABLO A R , JAVIER C . An effective transmission network expansion cost allocation based on game theory [J]. IEEE Transactions on Power Systems , 2007 , 22 ( 1 ): 136 - 144 .

KIARASH S ， NAZLI M , HOSSEINIAN S H , et al . A novel policy for locational marginal price calculation in distribution systems based on loss reduction allocation using game theory [J]. IEEE Transactions on Power Systems ， 2012 , 27 ( 2 ): 811 - 820 .

EDUARDO S H , ANTONIO P , JAVIER C . Reactive control for transmission overload relief based on sensitivity analysis and cooperative game theory [J]. IEEE Transactions on Power Systems ， 2012 , 27 ( 3 ): 1192 - 1203 .

HAN L , THOMAS M , MALCOLM M . Incentivizing prosumer coalitions with energy management using cooperative game theory [J]. IEEE Transactions on Power Systems , 2019 , 34 ( 1 ): 303 - 313 .

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 .

ZENG Jun , WANG Qiaoqiao , LIU Junfeng , et al . An operation optimization algorithm of microgrid based on potential game [J]. Proceedings of the CSEE , 2017 , 37 ( 24 ): 7195 - 7204 .

DENIS H A L . Voltage stability assessment using equivalent nodal analysis [J]. IEEE Transactions on Power Systems ， 2016 , 31 ( 1 ): 454 - 463 .

JANNE S , JUKKA T , MATTI K , et al . Modal analysis of power systems through natural excitation technique [J]. IEEE Transactions on Power Systems ， 2014 , 29 ( 4 ): 1642 - 1652 .

SEYED M A , FARID K , ALI B . The effect of suitable network modeling in voltage stability assessment [J]. IEEE Transactions on Power Systems , 2019 , 34 ( 2 ): 1650 - 1652 .

HU Haitao , HE Zhengyou , ZHANG Yangfan , et al . Modal frequency sensitivity analysis and application using complex nodal matrix [J]. IEEE Transactions on Power Delivery ， 2014 , 29 ( 2 ): 969 - 971 .

WANG Y , PAN J . Applications of operational modal analysis to a single-phase distribution transformer [J]. IEEE Transactions on Power Delivery , 2015 , 30 ( 4 ): 2061 - 2063 .

高文凯 . 风电大规模接入下核电机组运行模式的研究 [D]. 济南 : 山东大学 , 2018 .

GAO Wenkai . Research on nuclear power plant’s operation modes in power system with high wind integration [D]. Jinan : Shandong University , 2018

王扬 . 基于机会约束目标规划的含风电电力系统优化调度研究 [D]. 北京 : 华北电力大学 , 2017 .

WANG Yang . Research on optimal dispatch of wind power integrated system based on chance constrained goal programming [D]. Beijing : North China Electric Power University ， 2017 .

庞文涛 . 含风电的机组组合和运行优化策略研究 [D]. 浙江 : 浙江大学 , 2019 .

PANG Wentao . Research on unit combination and operation strategy with wind power [D]. Zhejiang : Zhejiang university , 2019 .

NOGUCHI S , MIYAMOTO T , MATSUTOMO S . Meaning of the rational solution obtained by game theory in a multi-objective electromagnetic apparatus design problem [J]. IEEE Transactions on Magnetics ， 2014 , 50 ( 2 ): 649 - 652 .

DANIELA W F T , LUIZ L . Optimizing transcutaneous energy transmitter using game theory [J]. IEEE Transactions on Magnetics , 2016 , 52 ( 3 ): 1 - 4 .

王锡凡 . 现代电力系统分析 [M]. 北京：科学出版社 , 2009 .

WANG Xifan . Modern power system analysis [M]. Beijing ： Science Press , 2009 .

张伯明，陈寿孙 . 高等电力网络分析 [M]. 2版 . 北京：清华大学出版社 , 2007 .

ZHANG Boming , CHEN Shousun . Advanced power system analysis [M]. 2nd ed . Beijing : Tsinghua University Press , 2007 .

梁访 , 潘毅 , 许丹 , 等 . 基于极限场景分析的电力系统有功功率和备用协调调度 [J]. 电力系统自动化 , 2019 , 43 ( 22 ): 101 - 109 .

LIANG Fang , PAN Yi , XU Dan , et al . Coordinated dispatching of active power and reserve for power system based on extreme scenario analysis [J]. Automation of Electric Power Systems , 2019 , 43 ( 22 ): 101 - 109 .

FIRUZI M F , ROOSTA A , GITIZADEH M . Stability analysis and decentralized control of inverter-based AC microgrid [J]. Protection and Control of Modern Power Systems , 2019 , 4 ( 4 ): 65 - 86 .

MISHRA S K , TRIPATHY L N . Acritical fault detection analysis & fault time in a UPFC transmission line [J]. Protection and Control of Modern Power Systems , 2019 , 4 ( 4 ): 24 - 33 .

王江 . 基于GAMS的电力系统运行优化 [D]. 广州 : 华南理工大学 , 2014 .

WANG Jiang . Optimization of power system operation based on GAMS [D]. Guangzhou : South China University of Technology , 2014 .

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Stable Operation Capability Evaluation for Renewable Energy Station with Grid-forming Power Sources

Coordinated Optimal Reactive Power Control of Renewable Energy Base Considering Grid-forming Energy Storage Station

Mechanism Analysis of Power System Transient Voltage Instability Dominated by Low Voltage Ride-through of Renewables

Optimization and Control of Voltage Security in Active Distribution Network Considering Global Correlation

Analysis on Transient Voltage Stability of Power System with Photovoltaic Based on Monotone System Theory

Related Author

MA Zihan

HUANG Meng

FU Xikun

JIA Yichao

WANG Biyang

ZHA Xiaoming

LIN Li

MA Xiaohan

Related Institution

Hubei Key Laboratory of Power Equipment & System Security for Integrated Energy

School of Electrical Engineering and Automation, Wuhan University

China Electric Power Research Institute

State Grid Shaanxi Electric Power Co., Ltd.

School of Electrical and Electronic Engineering, North China Electric Power University

⁰