Optimal Scheduling Strategy for Inertial Demand of New Power System Based on Stackelberg Game

ZHAO Zhenghui; WANG Xianan; QI Buyang; PANG Pai; WANG Yang; ZHANG Qian

doi:10.7500/AEPS20240626009

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Optimal Scheduling Strategy for Inertial Demand of New Power System Based on Stackelberg Game

Basic Research | 更新时间：2025-06-16

- Optimal Scheduling Strategy for Inertial Demand of New Power System Based on Stackelberg Game
- Automation of Electric Power Systems Vol. 49, Issue 7, Pages: 179-188(2025)
- 作者机构：
  
  1.江苏大学电气信息工程学院，江苏省镇江市 212013
  2.中国电力科学研究院有限公司，北京市 100192
  3.江苏大学农业工程学院，江苏省镇江市 212013
- 作者简介：
- 基金信息：
  
  Jiangsu Province Higher Education Basic Science (Natural Science) Research Project(23KJB210006);Zhenjiang Key R&D Plan Project(GY2023001)
- DOI：10.7500/AEPS20240626009
  CLC：
- Received：26 June 2024，
  
  Revised：2024-11-26，
  
  Published Online：26 January 2025，
  
  Published：10 April 2025
- 稿件说明：
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赵正晖,王夏楠,齐步洋等.基于主从博弈的新型电力系统惯量需求优化调度策略[J].电力系统自动化,2025,49(7):179-188.

ZHAO Zhenghui,WANG Xianan,QI Buyang,et al.Optimal Scheduling Strategy for Inertial Demand of New Power System Based on Stackelberg Game[J].Automation of Electric Power Systems,2025,49(7):179-188.
赵正晖,王夏楠,齐步洋等.基于主从博弈的新型电力系统惯量需求优化调度策略[J].电力系统自动化,2025,49(7):179-188. DOI： 10.7500/AEPS20240626009.

ZHAO Zhenghui,WANG Xianan,QI Buyang,et al.Optimal Scheduling Strategy for Inertial Demand of New Power System Based on Stackelberg Game[J].Automation of Electric Power Systems,2025,49(7):179-188. DOI： 10.7500/AEPS20240626009.

摘要

新型电力系统相较于同步发电机主导的传统电力系统呈现出明显的低惯量、低阻尼等特征，给系统稳定运行带来了新的挑战。为保证系统维持较高的惯量水平，文中提出一种基于主从博弈的新型电力系统惯量需求优化调度策略。策略由领导者和追随者组成，其中，领导者框架解决调度经济成本最小化问题，追随者框架解决系统惯量配置最优问题。该模型考虑系统最小惯量需求，并配置额外惯量储备，以应对惯量不足的场景，同时确保额外补充惯量的经济收益和整体调度经济性最优。在评估系统惯量需求时，由于变流器接口资源所提供的惯量易受其多变工况影响，不利于系统最低惯量评估和系统惯量配置，为此提出虚拟惯量可靠性概念，根据不同运行工况给定虚拟惯量可靠性系数，以提高新能源发电厂惯量评估的准确性。算例结果表明，所提优化调度策略有助于提升系统运行时的频率稳定性并保证经济性。

Abstract

Compared with traditional power systems dominated by synchronous generators

new power systems exhibit distinct characteristics such as low inertia and low damping

which introduce new challenges to ensuring stable operation for the system. To ensure that the system maintains a high level of inertia during each time

this paper proposes an optimal scheduling strategy for the inertia demand of new power systems based on the Stackelberg game. The strategy consists of leaders and followers

where the leader framework solves the problem of minimizing scheduling economic costs

and the follower framework solves the problem of optimizing system inertia configuration. This model considers the minimum inertia demand of the system and configures additional inertia reserves to cope with the scenarios with insufficient inertia

while ensuring the economic benefits of additional supplementary inertia and the optimal overall scheduling economy. When evaluating the inertia demand of the system

the inertia provided by the inverter interface resources is easily affected by its variable operation conditions

which is not conducive to the minimum inertia evaluation and inertia configuration of the system. Therefore

the concept of virtual inertia reliability is proposed

and virtual inertia reliability coefficients are given according to different operation conditions to improve the accuracy of inertia evaluation in renewable energy power plants. Case studies validate the effectiveness of the proposed optimal scheduling strategy

demonstrating its ability to improve frequency stability during system operation while preserving economic efficiency.

关键词

Keywords

references

张高帅 . 含分布式电源配电网无功优化研究［D］. 兰州：兰州理工大学， 2023 .

ZHANG Gaoshuai . Reactive power optimization for distribution networks with distributed power sources research ［D］. Lanzhou ： Lanzhou University of Technology ， 2023 .

丁磊，郭一忱，鲍威宇，等 . 能量视角下的电力系统惯量［J］. 电力系统自动化， 2024 ， 48 （ 8 ）： 3 - 13 .

文云峰，张武其，郭威 . 电力系统惯量需求：概念、指标及评估方法［J］. 电力系统自动化， 2024 ， 48 （ 8 ）： 30 - 41 .

WEN Yunfeng ， ZHANG Wuqi ， GUO Wei . Inertia demand of power system： concept， index and evaluation method ［J］. Automation of Electric Power Systems ， 2024 ， 48 （ 8 ）： 30 - 41 .

WANG J L ， ZHANG X . Transient virtual inertia optimization strategy for virtual synchronous generator based on equilibrium point state assessment ［J］. International Journal of Electrical Power & Energy Systems ， 2024 ， 155 ： 109588 .

邵一阳，刘铠诚，董树锋 . 并网模式下虚拟同步发电机的虚拟惯量控制策略［J］. 现代电力， 2022 ， 39 （ 2 ）： 160 - 168 .

SHAO Yiyang ， LIU Kaicheng ， DONG Shufeng . Virtual inertia control mode of virtual synchronous generator under grid connected strategy ［J］. Modern Electric Power ， 2022 ， 39 （ 2 ）： 160 - 168 .

CHÁVEZ H ， BALDICK R ， SHARMA S . Governor rate-constrained OPF for primary frequency control adequacy ［J］. IEEE Transactions on Power Systems ， 2014 ， 29 （ 3 ）： 1473 - 1480 .

谢珍建，汤奕 . 计及源荷惯量特征的电力系统最小惯量需求评估［J］. 电力系统自动化， 2024 ， 48 （ 10 ）： 66 - 77 .

SEBASTIAN O H ， CARLOS B D . Trade-off between frequency stability and renewable generation—studying virtual inertia from solar PV and operating stability constraints ［J］. Renewable Energy ， 2024 ， 232 ： 121075 .

王宝财，孙华东，李文锋，等 . 考虑动态频率约束的电力系统最小惯量评估［J］. 中国电机工程学报， 2022 ， 42 （ 1 ）： 114 - 127 .

WANG Baocai ， SUN Huadong ， LI Wenfeng ， et al . Minimum inertia estimation of power system considering dynamic frequency constraints ［J］. Proceedings of the CSEE ， 2022 ， 42 （ 1 ）： 114 - 127 .

ZHANG G H ， REN J Z ， ZENG Y ， et al . Security assessment method for inertia and frequency stability of high proportional renewable energy system ［J］. International Journal of Electrical Power & Energy Systems ， 2023 ， 153 ： 109309 .

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，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 .

LIAO W ， XIAO F ， LI Y X ， et al . Comparative study on electricity transactions between multi-microgrid： a hybrid game theory-based peer-to-peer trading in heterogeneous building communities considering electric vehicles ［J］. Applied Energy ， 2024 ， 367 ： 123459 .

LI P ， WANG Z X ， YANG W H ， et al . Hierarchically partitioned coordinated operation of distributed integrated energy system based on a master-slave game ［J］. Energy ， 2021 ， 214 ： 119006 .

MENG Y X ， MA G ， YAO Y T ， et al . Nash bargaining based integrated energy agent optimal operation strategy considering negotiation pricing for tradable green certificate ［J］. Applied Energy ， 2024 ， 356 ： 122427 .

MILANO F ， ORTEGA Á . A method for evaluating frequency regulation in an electrical grid—part Ⅰ： theory ［J］. IEEE Transactions on Power Systems ， 2021 ， 36 （ 1 ）： 183 - 193 .

ZHAO J J ， LYU X ， FU Y ， et al . Coordinated microgrid frequency regulation based on DFIG variable coefficient using virtual inertia and primary frequency control ［J］. IEEE Transactions on Energy Conversion ， 2016 ， 31 （ 3 ）： 833 - 845 .

郭洪芹，肖友强，万航羽，等 . 新型电力系统的惯量分析方法［J］. 云南电力技术， 2023 ， 51 （ 4 ）： 54 - 59 .

GUO Hongqin ， XIAO Youqiang ， WAN Hangyu ， et al . Inertia analysis method of new power system ［J］. Yunnan Electric Power ， 2023 ， 51 （ 4 ）： 54 - 59 .

国家能源局 . 电力系统安全稳定导则： GB 38755—2019 ［S］. 北京：中国电力出版社， 2020 .

National Energy Administration . Guide on security and stability for power system ： GB 38755—2019 ［S］. Beijing ： China Electric Power Press ， 2020 .

任凯奇，张东英，黄越辉，等 . 基于新能源出力比例的大规模系统惯量估计［J］. 电网技术， 2022 ， 46 （ 4 ）： 1307 - 1315 .

REN Kaiqi ， ZHANG Dongying ， HUANG Yuehui ， et al . Large-scale system inertia estimation based on new energy output ratio ［J］. Power System Technology ， 2022 ， 46 （ 4 ）： 1307 - 1315 .

TIAN F ， ZHANG X ， LIANG Y L ， et al . Taxing strategies for carbon emissions based on Stackelberg game ［C］// Proceedings of the 33rd Chinese Control Conference ， July 28-30 ， 2014 ， Nanjing， China ： 7607 - 7611 .

MEI S W ， WANG Y Y ， LIU F ， et al . Game approaches for hybrid power system planning ［J］. IEEE Transactions on Sustainable Energy ， 2012 ， 3 （ 3 ）： 506 - 517 .

CARRION M ， ARROYO J M . A computationally efficient mixed-integer linear formulation for the thermal unit commitment problem ［J］. IEEE Transactions on Power Systems ， 2006 ， 21 （ 3 ）： 1371 - 1378 .

REN S H ， DOU X ， WANG Z ， et al . Medium- and long-term integrated demand response of integrated energy system based on system dynamics ［J］. Energies ， 2020 ， 13 （ 3 ）： 710 .

张武其，文云峰，何烨，等 . 电力系统中长期惯量水平趋势评估及应用［J］. 电力系统自动化， 2024 ， 48 （ 10 ）： 54 - 65 .

ZHANG Wuqi ， WEN Yunfeng ， HE Ye ， et al . Estimation of medium- and long-term inertia level tendency for power system and its application ［J］. Automation of Electric Power Systems ， 2024 ， 48 （ 10 ）： 54 - 65 .

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