IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v380y2025ics0306261924024139.html
   My bibliography  Save this article

Aggregation and scheduling of massive 5G base station backup batteries using a price-guided orientable inner approximation method

Author

Listed:
  • Li, Kun
  • Fang, Jiakun
  • Ai, Xiaomeng
  • Wang, Shengshi
  • Liu, Jingguan
  • Cui, Shichang
  • Yao, Wei
  • Wen, Jinyu

Abstract

5G base station backup batteries (BSBs) are promising power balance and frequency support resources for future low-inertia power systems with substantial renewable penetrations. The challenge, however, is to properly incorporate massive 5G BSBs into frequency-constrained unit commitment (FC-UC). To this end, this paper proposes a price-guided orientable inner approximation (OIA) method to solve FC-UC with massive BSBs through aggregation. A polytope-based OIA technique is first proposed to realize the oriented inner approximation of BSBs' original feasible regions (FRs). Marginal prices are then employed to indicate the inner approximation orientations, thus ensuring the obtained OIA-FRs align with the power system's operation demands. Finally, an interruptible iterative framework with the proposed price-guided OIA method is developed to enhance FC-UC's optimality through iterations, which allows termination at any iteration while ensuring superior optimality compared to the traditional maximum inner approximation method. Case studies on the IEEE 30-bus system demonstrate the economic benefits of incorporating BSBs into operations and validate the effectiveness of the price-guided OIA method in enhancing FC-UC's optimality and handling renewables' uncertainty. Additional studies on a provincial system verify the practicality and scalability of the proposed interruptible iterative framework.

Suggested Citation

  • Li, Kun & Fang, Jiakun & Ai, Xiaomeng & Wang, Shengshi & Liu, Jingguan & Cui, Shichang & Yao, Wei & Wen, Jinyu, 2025. "Aggregation and scheduling of massive 5G base station backup batteries using a price-guided orientable inner approximation method," Applied Energy, Elsevier, vol. 380(C).
  • Handle: RePEc:eee:appene:v:380:y:2025:i:c:s0306261924024139
    DOI: 10.1016/j.apenergy.2024.125029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261924024139
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2024.125029?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 search for a different version of it.

    References listed on IDEAS

    as
    1. Li, Kun & Wei, Lishen & Fang, Jiakun & Ai, Xiaomeng & Cui, Shichang & Zhu, Mengshu & Wen, Jinyu, 2024. "Incentive-compatible primary frequency response ancillary service market mechanism for incorporating diverse frequency support resources," Energy, Elsevier, vol. 306(C).
    2. N. Dinh & V. Jeyakumar, 2014. "Rejoinder on: Farkas’ lemma: three decades of generalizations for mathematical optimization," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 41-44, April.
    3. 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).
    4. Zhang, Menglin & Ai, Xiaomeng & Fang, Jiakun & Yao, Wei & Zuo, Wenping & Chen, Zhe & Wen, Jinyu, 2018. "A systematic approach for the joint dispatch of energy and reserve incorporating demand response," Applied Energy, Elsevier, vol. 230(C), pages 1279-1291.
    5. N. Dinh & V. Jeyakumar, 2014. "Farkas’ lemma: three decades of generalizations for mathematical optimization," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(1), pages 1-22, April.
    6. Jiang, Boyou & Guo, Chuangxin & Chen, Zhe, 2024. "Frequency constrained unit commitment considering reserve provision of wind power," Applied Energy, Elsevier, vol. 361(C).
    7. Badesa, L. & Teng, F. & Strbac, G., 2020. "Pricing inertia and Frequency Response with diverse dynamics in a Mixed-Integer Second-Order Cone Programming formulation," Applied Energy, Elsevier, vol. 260(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. P. Montiel López & M. Ruiz Galán, 2016. "Nonlinear Programming via König’s Maximum Theorem," Journal of Optimization Theory and Applications, Springer, vol. 170(3), pages 838-852, September.
    2. Thai Doan Chuong & Vaithilingam Jeyakumar, 2020. "Generalized Farkas Lemma with Adjustable Variables and Two-Stage Robust Linear Programs," Journal of Optimization Theory and Applications, Springer, vol. 187(2), pages 488-519, November.
    3. Nguyen Dinh & Miguel A. Goberna & Dang H. Long & Marco A. López-Cerdá, 2019. "New Farkas-Type Results for Vector-Valued Functions: A Non-abstract Approach," Journal of Optimization Theory and Applications, Springer, vol. 182(1), pages 4-29, July.
    4. Meijia Yang & Shu Wang & Yong Xia, 2022. "Toward Nonquadratic S-Lemma: New Theory and Application in Nonconvex Optimization," Journal of Optimization Theory and Applications, Springer, vol. 194(1), pages 353-363, July.
    5. N. Dinh & M. A. Goberna & M. A. López & T. H. Mo, 2017. "Farkas-Type Results for Vector-Valued Functions with Applications," Journal of Optimization Theory and Applications, Springer, vol. 173(2), pages 357-390, May.
    6. Li, Zhihao & Xu, Yinliang, 2025. "Pricing balancing ancillary services for low-inertia power systems under uncertainty and nonconvexity," Applied Energy, Elsevier, vol. 377(PC).
    7. Zhang, Huaiyuan & Liao, Kai & Yang, Jianwei & Zheng, Shunwei & He, Zhengyou, 2024. "Frequency-constrained expansion planning for wind and photovoltaic power in wind-photovoltaic-hydro-thermal multi-power system," Applied Energy, Elsevier, vol. 356(C).
    8. Zhang, Menglin & Wu, Qiuwei & Wen, Jinyu & Pan, Bo & Qi, Shiqiang, 2020. "Two-stage stochastic optimal operation of integrated electricity and heat system considering reserve of flexible devices and spatial-temporal correlation of wind power," Applied Energy, Elsevier, vol. 275(C).
    9. Li, Kun & Wei, Lishen & Fang, Jiakun & Ai, Xiaomeng & Cui, Shichang & Zhu, Mengshu & Wen, Jinyu, 2024. "Incentive-compatible primary frequency response ancillary service market mechanism for incorporating diverse frequency support resources," Energy, Elsevier, vol. 306(C).
    10. Ma, Chao & Xu, Ximeng & Pang, Xiulan & Li, Xiaofeng & Zhang, Pengfei & Liu, Lu, 2024. "Scenario-based ultra-short-term rolling optimal operation of a photovoltaic-energy storage system under forecast uncertainty," Applied Energy, Elsevier, vol. 356(C).
    11. Du, Zhengyang & Dai, Zhenxue & Yang, Zhijie & Zhan, Chuanjun & Chen, Wei & Cao, Mingxu & Thanh, Hung Vo & Soltanian, Mohamad Reza, 2024. "Exploring hydrogen geologic storage in China for future energy: Opportunities and challenges," Renewable and Sustainable Energy Reviews, Elsevier, vol. 196(C).
    12. Liu, Mao & Kong, Xiangyu & Xiong, Kaizhi & Wang, Jimin & Lin, Qingxiang, 2025. "Multi-scale spatio-temporal transformer: A novel model reduction approach for day-ahead security-constrained unit commitment," Applied Energy, Elsevier, vol. 380(C).
    13. 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).
    14. Xiyao Gong & Wentao Huang & Jiaxuan Li & Jun He & Bohan Zhang, 2024. "P2P Optimization Operation Strategy for Photovoltaic Virtual Power Plant Based on Asymmetric Nash Negotiation," Sustainability, MDPI, vol. 16(14), pages 1-18, July.
    15. Hlalele, Thabo G. & Naidoo, Raj M. & Bansal, Ramesh C. & Zhang, Jiangfeng, 2020. "Multi-objective stochastic economic dispatch with maximal renewable penetration under renewable obligation," Applied Energy, Elsevier, vol. 270(C).
    16. 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).
    17. Tan, Jin & Wu, Qiuwei & Hu, Qinran & Wei, Wei & Liu, Feng, 2020. "Adaptive robust energy and reserve co-optimization of integrated electricity and heating system considering wind uncertainty," Applied Energy, Elsevier, vol. 260(C).
    18. Wu, Yunyun & Fang, Jiakun & Ai, Xiaomeng & Xue, Xizhen & Cui, Shichang & Chen, Xia & Wen, Jinyu, 2023. "Robust co-planning of AC/DC transmission network and energy storage considering uncertainty of renewable energy," Applied Energy, Elsevier, vol. 339(C).
    19. Turk, Ana & Wu, Qiuwei & Zhang, Menglin & Østergaard, Jacob, 2020. "Day-ahead stochastic scheduling of integrated multi-energy system for flexibility synergy and uncertainty balancing," Energy, Elsevier, vol. 196(C).
    20. Hlalele, Thabo G. & Zhang, Jiangfeng & Naidoo, Raj M. & Bansal, Ramesh C., 2021. "Multi-objective economic dispatch with residential demand response programme under renewable obligation," Energy, Elsevier, vol. 218(C).

    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:380:y:2025:i:c:s0306261924024139. 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.