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

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  • 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
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    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. 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).
    3. 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).
    4. 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).
    5. 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).
    6. 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).
    7. Li, Zhihao & Xu, Yinliang, 2025. "Pricing balancing ancillary services for low-inertia power systems under uncertainty and nonconvexity," Applied Energy, Elsevier, vol. 377(PC).
    8. 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).
    9. 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).
    10. 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).
    11. 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).
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