IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v392y2025ics0306261925006439.html
   My bibliography  Save this article

Optimal frequency support from virtual power plants: Minimal reserve and allocation

Author

Listed:
  • Zhu, Xiang
  • Ruan, Guangchun
  • Geng, Hua

Abstract

This paper proposes a novel reserve-minimizing and allocation strategy for virtual power plants (VPPs) to deliver optimal frequency support. The proposed strategy enables VPPs, acting as aggregators for inverter-based resources (IBRs), to provide optimal frequency support economically. The proposed strategy captures time-varying active power injections, reducing the unnecessary redundancy compared to traditional fixed reserve schemes. Reserve requirements for the VPPs are determined based on system frequency response and safety constraints, ensuring efficient grid support. Furthermore, an energy-based allocation model decomposes power injections for each IBR, accounting for their specific limitations. Numerical experiments validate the feasibility of the proposed approach, highlighting significant financial gains for VPPs, especially as system inertia decreases due to higher renewable energy integration.

Suggested Citation

  • Zhu, Xiang & Ruan, Guangchun & Geng, Hua, 2025. "Optimal frequency support from virtual power plants: Minimal reserve and allocation," Applied Energy, Elsevier, vol. 392(C).
  • Handle: RePEc:eee:appene:v:392:y:2025:i:c:s0306261925006439
    DOI: 10.1016/j.apenergy.2025.125913
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261925006439
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2025.125913?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Li, Shenglin & Zhu, Jizhong & Dong, Hanjiang & Zhu, Haohao & Luo, Fengji & Borghetti, Alberto, 2024. "Multi-time-scale energy management of renewable microgrids considering grid-friendly interaction," Applied Energy, Elsevier, vol. 367(C).
    2. Ide, T. & Hirase, Y. & Yoshimura, E. & Umezu, Y. & Bando, S. & Sugimoto, K., 2025. "Investigating and addressing synchronous instabilities in inverter-based resources within microgrids," Applied Energy, Elsevier, vol. 377(PB).
    3. Chen, Qixin & Lyu, Ruike & Guo, Hongye & Su, Xiangbo, 2024. "Real-time operation strategy of virtual power plants with optimal power disaggregation among heterogeneous resources," Applied Energy, Elsevier, vol. 361(C).
    4. Li, Zhihao & Xu, Yinliang, 2025. "Pricing balancing ancillary services for low-inertia power systems under uncertainty and nonconvexity," Applied Energy, Elsevier, vol. 377(PC).
    5. Zhang, Jiawei & Wang, Jiaxin & Zhang, Ning & Wang, Peng & Wang, Yating & Fang, Chen, 2024. "Droop coefficient placements for grid-side energy storage considering nodal frequency constraints under large disturbances," Applied Energy, Elsevier, vol. 357(C).
    6. Rajan, Rijo & Fernandez, Francis M. & Yang, Yongheng, 2021. "Primary frequency control techniques for large-scale PV-integrated power systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 144(C).
    7. Li, Hui & Zhang, Hongcai & Zhang, Ji & Wu, Qiuwei & Wong, Chi-Kong, 2025. "A frequency-secured planning method for integrated electricity-heat microgrids with virtual inertia suppliers," Applied Energy, Elsevier, vol. 377(PB).
    8. Oshnoei, Arman & Kheradmandi, Morteza & Blaabjerg, Frede & Hatziargyriou, Nikos D. & Muyeen, S.M. & Anvari-Moghaddam, Amjad, 2022. "Coordinated control scheme for provision of frequency regulation service by virtual power plants," Applied Energy, Elsevier, vol. 325(C).
    9. Mei, Shufan & Tan, Qinliang & Trivedi, Anupam & Srinivasan, Dipti, 2024. "A two-step optimization model for virtual power plant participating in spot market based on energy storage power distribution considering comprehensive forecasting error of renewable energy output," Applied Energy, Elsevier, vol. 376(PB).
    10. Sun, Xiaotian & Xie, Haipeng & Qiu, Dawei & Xiao, Yunpeng & Bie, Zhaohong & Strbac, Goran, 2023. "Decentralized frequency regulation service provision for virtual power plants: A best response potential game approach," Applied Energy, Elsevier, vol. 352(C).
    11. 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).
    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. Esfahani, Moein & Alizadeh, Ali & Amjady, Nima & Kamwa, Innocent, 2024. "A distributed VPP-integrated co-optimization framework for energy scheduling, frequency regulation, and voltage support using data-driven distributionally robust optimization with Wasserstein metric," Applied Energy, Elsevier, vol. 361(C).
    2. Ziyu Li & Bangjun Wang, 2024. "A Bibliometric Analysis of Carbon Allowances in the Carbon Emissions Trading Market," Energies, MDPI, vol. 18(1), pages 1-18, December.
    3. 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).
    4. 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).
    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. Maity, Soudipan & Rather, Zakir Hussain & Doolla, Suryanarayana, 2025. "A comprehensive review of grid support services from solar photovoltaic power plants," Renewable and Sustainable Energy Reviews, Elsevier, vol. 210(C).
    7. Lin, Chengrong & Hu, Bo & Tai, Heng-Ming & Shao, Changzheng & Xie, Kaigui & Wang, Yu, 2024. "Performance optimization of VPP in fast frequency control ancillary service provision," Applied Energy, Elsevier, vol. 376(PB).
    8. Yintao Lu & Bo Hu & Shengming Qiu & Shuchang Liu & Jiayan Wang & Jiashuai Zhao & Hong Yao, 2025. "Driving Mechanism and Energy Conservation Strategy for China’s Railway Passenger Stations Towards Carbon Neutrality," Energies, MDPI, vol. 18(11), pages 1-19, May.
    9. Takahiro Takamatsu & Takashi Oozeki & Dai Orihara & Hiroshi Kikusato & Jun Hashimoto & Kenji Otani & Takahiro Matsuura & Satoshi Miyazaki & Hiromu Hamada & Teru Miyazaki, 2022. "Simulation Analysis of Issues with Grid Disturbance for a Photovoltaic Powered Virtual Synchronous Machine," Energies, MDPI, vol. 15(16), pages 1-19, August.
    10. Li, Jiaxin & Xu, Zhanbo & Zhou, Yuzhou & Li, Yuting & Wu, Jiang & Guan, Xiaohong, 2024. "Optimal scheduling method and fast-solving algorithm for large-scale virtual power plants communication networks," Applied Energy, Elsevier, vol. 371(C).
    11. Bao, Peng & Xu, Qingshan & Yang, Yongbiao & Nan, Yu & Wang, Yucui, 2024. "Efficient virtual power plant management strategy and Leontief-game pricing mechanism towards real-time economic dispatch support: A case study of large-scale 5G base stations," Applied Energy, Elsevier, vol. 358(C).
    12. Simon Lineykin & Abhishek Sharma & Moshe Averbukh, 2023. "Eventual Increase in Solar Electricity Production and Desalinated Water through the Formation of a Channel between the Mediterranean and the Dead Sea," Energies, MDPI, vol. 16(11), pages 1-17, May.
    13. Sevdari, Kristian & Calearo, Lisa & Andersen, Peter Bach & Marinelli, Mattia, 2022. "Ancillary services and electric vehicles: An overview from charging clusters and chargers technology perspectives," Renewable and Sustainable Energy Reviews, Elsevier, vol. 167(C).
    14. Zhao, Zeyu & Yang, Xiyun & Chen, Han & Chen, He, 2025. "An improved heuristic dynamic programming framework for multi-source frequency regulation," Applied Energy, Elsevier, vol. 387(C).
    15. Ding, Zhetong & Li, Yaping & Zhang, Kaifeng & Peng, Jimmy Chih-Hsien, 2024. "Two-stage dynamic aggregation involving flexible resource composition and coordination based on submodular optimization," Applied Energy, Elsevier, vol. 360(C).
    16. Mbungu, Nsilulu T. & Siti, Mukwanga W. & Bansal, Ramesh C. & Naidoo, Raj M. & Elnady, A. & Ismail, Ali A. Adam & Abokhali, Ahmed G. & Hamid, Abdul-Kadir, 2025. "A dynamic coordination of microgrids," Applied Energy, Elsevier, vol. 377(PD).
    17. Song, Yuguang & Xia, Mingchao & Chen, Qifang, 2023. "The robust synchronization control scheme for flexible resources considering the stochastic and delay response process," Applied Energy, Elsevier, vol. 343(C).
    18. Qiu, Dawei & Baig, Aimon Mirza & Wang, Yi & Wang, Lingling & Jiang, Chuanwen & Strbac, Goran, 2024. "Market design for ancillary service provisions of inertia and frequency response via virtual power plants: A non-convex bi-level optimisation approach," Applied Energy, Elsevier, vol. 361(C).
    19. Zhang, Jiarui & Mu, Yunfei & Wu, Zhijun & Jia, Hongjie & Jin, Xiaolong & Qi, Yan, 2024. "Two-stage affine assessment method for flexible ramping capacity: An inverter heat pump virtual power plant case," Applied Energy, Elsevier, vol. 365(C).
    20. Sun, Xiaotian & Xie, Haipeng & Qiu, Dawei & Xiao, Yunpeng & Bie, Zhaohong & Strbac, Goran, 2023. "Decentralized frequency regulation service provision for virtual power plants: A best response potential game approach," Applied Energy, Elsevier, vol. 352(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:eee:appene:v:392:y:2025:i:c:s0306261925006439. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/405891/description#description .

    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.