IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v18y2025i11p2974-d1672067.html

Multi-Objective Time-Domain Coupled Feasible Region Construction Method for Virtual Power Plant Considering Global Stability

Author

Listed:
  • Li Guo

    (State Grid Jiangsu Economic Research Institute, Nanjing 210008, China)

  • Guiyuan Xue

    (State Grid Jiangsu Economic Research Institute, Nanjing 210008, China)

  • Zheng Xu

    (State Grid Jiangsu Economic Research Institute, Nanjing 210008, China)

  • Huixiang Li

    (College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211816, China)

  • Jiacheng Li

    (College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211816, China)

  • Xun Dou

    (College of Electrical Engineering and Control Science, Nanjing Tech University, Nanjing 211816, China)

Abstract

Constructing a new power system with renewable energy as the main component requires an in-depth exploration of the regulation potential of massive, distributed flexibility resources within distribution networks. This approach aims to enhance the grid’s balancing capabilities. Virtual Power Plants can effectively aggregate flexibility resources, but the massive scale and heterogeneous nature of distributed resources pose challenges in assessing the regulation capabilities of the aggregated entity. In this paper, a feasible region solution model for Virtual Power Plants is established based on the vertex search method. Furthermore, by introducing the principles of Lyapunov stability analysis, a multi-objective time–domain coupled feasible region construction method for VPPs with global stability considerations is proposed. Through case study analysis, the boundaries of the VPP’s regulation capability and the time–neighborhood feasible regions characterized by the proposed method exhibit better full-time output stability and are more aligned with practical needs.

Suggested Citation

  • Li Guo & Guiyuan Xue & Zheng Xu & Huixiang Li & Jiacheng Li & Xun Dou, 2025. "Multi-Objective Time-Domain Coupled Feasible Region Construction Method for Virtual Power Plant Considering Global Stability," Energies, MDPI, vol. 18(11), pages 1-19, June.
  • Handle: RePEc:gam:jeners:v:18:y:2025:i:11:p:2974-:d:1672067
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/18/11/2974/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/18/11/2974/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Li, Qiang & Wei, Fanchao & Zhou, Yongcheng & Li, Jiajia & Zhou, Guowen & Wang, Zhonghao & Liu, Jinfu & Yan, Peigang & Yu, Daren, 2023. "A scheduling framework for VPP considering multiple uncertainties and flexible resources," Energy, Elsevier, vol. 282(C).
    2. Meng, Weiqi & Song, Dongran & Huang, Liansheng & Chen, Xiaojiao & Yang, Jian & Dong, Mi & Talaat, M. & Elkholy, M.H., 2024. "Distributed energy management of electric vehicle charging stations based on hierarchical pricing mechanism and aggregate feasible regions," Energy, Elsevier, vol. 291(C).
    3. Chen, Lin & Tang, Zhiyuan & He, Shuaijia & Liu, Junyong, 2024. "Feasible operation region estimation of virtual power plant considering heterogeneity and uncertainty of distributed energy resources," Applied Energy, Elsevier, vol. 362(C).
    4. Kong, Xiangyu & Lu, Wenqi & Wu, Jianzhong & Wang, Chengshan & Zhao, Xv & Hu, Wei & Shen, Yu, 2023. "Real-time pricing method for VPP demand response based on PER-DDPG algorithm," Energy, Elsevier, vol. 271(C).
    5. Rafael V. X. de Souza & Thales Sousa, 2024. "Analysis of Demand Response in Electric Systems with Strong Presence of Intermittent Generation Using Conditional Value-at-Risk," Energies, MDPI, vol. 17(18), pages 1-17, September.
    6. Cui, Xueyuan & Liu, Shu & Ruan, Guangchun & Wang, Yi, 2024. "Data-driven aggregation of thermal dynamics within building virtual power plants," Applied Energy, Elsevier, vol. 353(PB).
    7. Chen, Siqi & Zhang, Kuan & Liu, Nian & Xie, Yawen, 2024. "Unlock the aggregated flexibility of electricity-hydrogen integrated virtual power plant for peak-regulation," Applied Energy, Elsevier, vol. 360(C).
    8. Siwei Zheng & Guoping Huang & Zhaoxu Luo, 2025. "Coordinated Control Strategies for Polymorphic Energy in Hydrogen-Integrated Virtual Power Plants Under the Goal of a Low-Carbon Economy," Energies, MDPI, vol. 18(6), pages 1-19, March.
    9. Ren, Junzhi & Zeng, Yuan & Qin, Chao & Li, Bao & Wang, Ziqiang & Yuan, Quan & Zhai, Hefeng & Li, Peng, 2024. "Characterization and application of flexible operation region of virtual power plant," Applied Energy, Elsevier, vol. 371(C).
    10. Khalil Gholami & Mohammad Taufiqul Arif & Md Enamul Haque, 2025. "Dynamic Boundary Dissemination to Virtual Power Plants for Congestion and Voltage Management in Power Distribution Networks," Energies, MDPI, vol. 18(3), pages 1-27, January.
    11. Liu, Xin & Lin, Xueshan & Qiu, Haifeng & Li, Yang & Huang, Tao, 2024. "Optimal aggregation and disaggregation for coordinated operation of virtual power plant with distribution network operator," Applied Energy, Elsevier, vol. 376(PA).
    12. Liu, Xin & Li, Yang & Wang, Li & Tang, Junbo & Qiu, Haifeng & Berizzi, Alberto & Valentin, Ilea & Gao, Ciwei, 2024. "Dynamic aggregation strategy for a virtual power plant to improve flexible regulation ability," Energy, Elsevier, vol. 297(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Xin & Li, Yang & Wang, Li & Tang, Junbo & Qiu, Haifeng & Berizzi, Alberto & Valentin, Ilea & Gao, Ciwei, 2024. "Dynamic aggregation strategy for a virtual power plant to improve flexible regulation ability," Energy, Elsevier, vol. 297(C).
    2. Li, Qiang & Dong, Fuxiang & Jiang, Bo & Liu, Jinfu & Yan, Peigang & Yu, Daren, 2026. "Risk-averse co-optimization of virtual power plants in multi-markets considering scheduling costs and uncertainties of controllable loads," Applied Energy, Elsevier, vol. 409(C).
    3. Zare, Alireza & Shafie-khah, Miadreza & Siano, Pierluigi & Lazaroiu, George Cristian, 2026. "A systematic review of Virtual Power Plant configurations and their interaction with electricity, carbon, and flexibility markets," Renewable and Sustainable Energy Reviews, Elsevier, vol. 226(PD).
    4. Gu, Bo & Li, Fangxing & Mao, Chengxiong & Wang, Dan & Fan, Hua & Liu, Bin & Li, Wenhao, 2025. "A Bilevel robust coordination model for community integrated energy system with access to HFCEVs and EVs," Applied Energy, Elsevier, vol. 390(C).
    5. Liu, Xin & Lin, Xueshan & Qiu, Haifeng & Li, Yang & Huang, Tao, 2024. "Optimal aggregation and disaggregation for coordinated operation of virtual power plant with distribution network operator," Applied Energy, Elsevier, vol. 376(PA).
    6. Du, Haoming & Hu, Junjie & Fang, Yuxuan & Xie, Dongliang, 2025. "Optimal bidding strategy for virtual power plant participating in joint energy and reserve market considering physical-economic feasible operation region," Energy, Elsevier, vol. 336(C).
    7. Zhao, Chen & Ye, Jinchi & He, Ping & Zhang, Shaohua & Fan, Jiale, 2026. "Two-stage data-driven adaptive robust bidding model for a virtual power plant in multi-market based on nonparametric method of LSSVM-AKDE under uncertainties," Renewable Energy, Elsevier, vol. 256(PA).
    8. Yang, Yilong & Fan, Shuai & Xiao, Jucheng & Huang, Renke & He, Guangyu, 2025. "Aggregation and packaging of distributed energy resources: A time-coupled flexibility-demand-oriented method," Energy, Elsevier, vol. 334(C).
    9. Esfahani, Moein & Alizadeh, Ali & Cao, Bo & Kamwa, Innocent & Xu, Minghui, 2025. "Bridging theory and practice: A comprehensive review of virtual power plant technologies and their real-world applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 222(C).
    10. Liu, Jinpeng & Peng, Jinchun & Liu, Hushihan & Deng, Jiaming & Song, Xiaohua, 2025. "Two-stage robust optimization of a virtual power plant considering a refined demand response," Energy, Elsevier, vol. 322(C).
    11. Yongyu Dai & Zhengwei Huang & Yijun Li & Rongsheng Lv, 2025. "Robust Optimal Scheduling of Multi-Energy Virtual Power Plants with Incentive Demand Response and Ladder Carbon Trading: A Hybrid Intelligence-Inspired Approach," Energies, MDPI, vol. 18(18), pages 1-26, September.
    12. He, Jiaming & Tan, Qinliang & Lv, Hanyu, 2025. "Data-driven climate resilience assessment for distributed energy systems using diffusion transformer and polynomial expansions," Applied Energy, Elsevier, vol. 380(C).
    13. Pang, Simian & Xu, Qingshan & Yang, Yongbiao & Cheng, Aoxue & Shi, Zhengkun & Shi, Yun, 2024. "Robust decomposition and tracking strategy for demand response enhanced virtual power plants," Applied Energy, Elsevier, vol. 373(C).
    14. Yang, Shaohua & Lao, Keng-Weng & Hui, Hongxun & Su, Jinshuo & Wang, Sheng, 2025. "Secure frequency regulation in power system: A comprehensive defense strategy against FDI, DoS, and latency cyber-attacks," Applied Energy, Elsevier, vol. 379(C).
    15. Wu, Tianyu & Han, Fengwu & Zhao, Yunlong & Yu, Zishuo, 2025. "A decarbonization-oriented and uncertainty-aware energy management strategy for multi-district integrated energy systems with fair peer-to-peer trading," Energy, Elsevier, vol. 323(C).
    16. Adil, Muhammad & Mahmud, M.A. Parvez & Kouzani, Abbas Z. & Khoo, Sui Yang, 2024. "Three-stage energy trading framework for retailers, charging stations, and electric vehicles: A game-theoretic approach," Energy, Elsevier, vol. 301(C).
    17. Kaiss, Mateus & Wan, Yihao & Gebbran, Daniel & Vila, Clodomiro Unsihuay & Dragičević, Tomislav, 2025. "Review on Virtual Power Plants/Virtual Aggregators: Concepts, applications, prospects and operation strategies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 211(C).
    18. He, Youmeng & Gu, Chunhua & Gao, Yan & Wang, Jingqi, 2025. "Bi-level day-ahead and real-time hybrid pricing model and its reinforcement learning method," Energy, Elsevier, vol. 322(C).
    19. Luwen Pan & Jiajia Chen, 2024. "Optimal Energy Storage Configuration of Prosumers with Uncertain Photovoltaic in the Presence of Customized Pricing-Based Demand Response," Sustainability, MDPI, vol. 16(6), pages 1-18, March.
    20. Liu, Wei & Li, Zhuangzhuang & Xing, Xinran & Chen, Xi & Wang, Yufei & Wang, Xuechun, 2025. "Non-cooperative game optimization for virtual power plants considering carbon trading market," Energy, Elsevier, vol. 317(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:18:y:2025:i:11:p:2974-:d:1672067. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager The email address of this maintainer does not seem to be valid anymore. Please ask MDPI Indexing Manager to update the entry or send us the correct address (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.