IDEAS home Printed from https://ideas.repec.org/a/eee/appene/v381y2025ics0306261924025017.html
   My bibliography  Save this article

Flywheel energy storage system controlled using tube-based deep Koopman model predictive control for wind power smoothing

Author

Listed:
  • Zhou, Jun
  • Jia, Yubin
  • Sun, Changyin

Abstract

This paper introduces an approach for wind power smoothing using a flywheel energy storage system (FESS) controlled by a novel tube-based deep Koopman model predictive control (MPC) method. Wind power, despite its potential to reduce carbon emissions, faces significant challenges due to power fluctuations caused by variable wind speeds. To address these fluctuations, FESS is proposed as a result of its rapid charge–discharge response capability. To control the FESS, a deep neural network (DNN) is used to approximate the Koopman operator for system linearization, allowing the application of a linear MPC controller. To enhance robustness, a tube-based MPC approach comprising a nominal MPC and an ancillary MPC is introduced. The stability of the nominal system and the input-to-state stability (ISS) of the controlled actual system are rigorously established. The effectiveness and robustness of the proposed method are demonstrated through simulations and comparisons with PID and conventional MPC method.

Suggested Citation

  • Zhou, Jun & Jia, Yubin & Sun, Changyin, 2025. "Flywheel energy storage system controlled using tube-based deep Koopman model predictive control for wind power smoothing," Applied Energy, Elsevier, vol. 381(C).
  • Handle: RePEc:eee:appene:v:381:y:2025:i:c:s0306261924025017
    DOI: 10.1016/j.apenergy.2024.125117
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0306261924025017
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.apenergy.2024.125117?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. Poullikkas, Andreas, 2013. "A comparative overview of large-scale battery systems for electricity storage," Renewable and Sustainable Energy Reviews, Elsevier, vol. 27(C), pages 778-788.
    2. Pathak, A.K. & Sharma, M.P & Bundele, Mahesh, 2015. "A critical review of voltage and reactive power management of wind farms," Renewable and Sustainable Energy Reviews, Elsevier, vol. 51(C), pages 460-471.
    3. Hu, Jiefeng & Xu, Yinliang & Cheng, Ka Wai & Guerrero, Josep M., 2018. "A model predictive control strategy of PV-Battery microgrid under variable power generations and load conditions," Applied Energy, Elsevier, vol. 221(C), pages 195-203.
    4. Zhao, Haoran & Wu, Qiuwei & Hu, Shuju & Xu, Honghua & Rasmussen, Claus Nygaard, 2015. "Review of energy storage system for wind power integration support," Applied Energy, Elsevier, vol. 137(C), pages 545-553.
    5. Díaz-González, Francisco & Sumper, Andreas & Gomis-Bellmunt, Oriol & Bianchi, Fernando D., 2013. "Energy management of flywheel-based energy storage device for wind power smoothing," Applied Energy, Elsevier, vol. 110(C), pages 207-219.
    6. Liu, Jizhen & Yao, Qi & Hu, Yang, 2019. "Model predictive control for load frequency of hybrid power system with wind power and thermal power," Energy, Elsevier, vol. 172(C), pages 555-565.
    7. Mousavi G, S.M. & Faraji, Faramarz & Majazi, Abbas & Al-Haddad, Kamal, 2017. "A comprehensive review of Flywheel Energy Storage System technology," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 477-490.
    8. Bethany Lusch & J. Nathan Kutz & Steven L. Brunton, 2018. "Deep learning for universal linear embeddings of nonlinear dynamics," Nature Communications, Nature, vol. 9(1), pages 1-10, December.
    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. Gui, Yonghao & Wei, Baoze & Li, Mingshen & Guerrero, Josep M. & Vasquez, Juan C., 2018. "Passivity-based coordinated control for islanded AC microgrid," Applied Energy, Elsevier, vol. 229(C), pages 551-561.
    2. Barelli, L. & Bidini, G. & Bonucci, F. & Castellini, L. & Fratini, A. & Gallorini, F. & Zuccari, A., 2019. "Flywheel hybridization to improve battery life in energy storage systems coupled to RES plants," Energy, Elsevier, vol. 173(C), pages 937-950.
    3. Muhammad Umair Mutarraf & Yacine Terriche & Kamran Ali Khan Niazi & Juan C. Vasquez & Josep M. Guerrero, 2018. "Energy Storage Systems for Shipboard Microgrids—A Review," Energies, MDPI, vol. 11(12), pages 1-32, December.
    4. Ayat-Allah Bouramdane & Alexis Tantet & Philippe Drobinski, 2021. "Utility-Scale PV-Battery versus CSP-Thermal Storage in Morocco: Storage and Cost Effect under Penetration Scenarios," Post-Print hal-03344439, HAL.
    5. Barra, P.H.A. & de Carvalho, W.C. & Menezes, T.S. & Fernandes, R.A.S. & Coury, D.V., 2021. "A review on wind power smoothing using high-power energy storage systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 137(C).
    6. Akram, Umer & Nadarajah, Mithulananthan & Shah, Rakibuzzaman & Milano, Federico, 2020. "A review on rapid responsive energy storage technologies for frequency regulation in modern power systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 120(C).
    7. Yang, Yuqing & Bremner, Stephen & Menictas, Chris & Kay, Merlinde, 2022. "Modelling and optimal energy management for battery energy storage systems in renewable energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 167(C).
    8. Mahela, Om Prakash & Shaik, Abdul Gafoor, 2016. "Comprehensive overview of grid interfaced wind energy generation systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 57(C), pages 260-281.
    9. Ren, Guorui & Liu, Jinfu & Wan, Jie & Guo, Yufeng & Yu, Daren, 2017. "Overview of wind power intermittency: Impacts, measurements, and mitigation solutions," Applied Energy, Elsevier, vol. 204(C), pages 47-65.
    10. Xiaotong Qie & Rui Zhang & Yanyong Hu & Xialing Sun & Xue Chen, 2021. "A Multi-Criteria Decision-Making Approach for Energy Storage Technology Selection Based on Demand," Energies, MDPI, vol. 14(20), pages 1-29, October.
    11. Argyrou, Maria C. & Christodoulides, Paul & Kalogirou, Soteris A., 2018. "Energy storage for electricity generation and related processes: Technologies appraisal and grid scale applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 804-821.
    12. Kondoh, Junji & Funamoto, Takuji & Nakanishi, Taisuke & Arai, Ryohei, 2018. "Energy characteristics of a fixed-speed flywheel energy storage system with direct grid-connection," Energy, Elsevier, vol. 165(PB), pages 701-708.
    13. Lyons, P.F. & Wade, N.S. & Jiang, T. & Taylor, P.C. & Hashiesh, F. & Michel, M. & Miller, D., 2015. "Design and analysis of electrical energy storage demonstration projects on UK distribution networks," Applied Energy, Elsevier, vol. 137(C), pages 677-691.
    14. Hermesmann, M. & Grübel, K. & Scherotzki, L. & Müller, T.E., 2021. "Promising pathways: The geographic and energetic potential of power-to-x technologies based on regeneratively obtained hydrogen," Renewable and Sustainable Energy Reviews, Elsevier, vol. 138(C).
    15. Linda Barelli & Gianni Bidini & Fabio Bonucci & Luca Castellini & Simone Castellini & Andrea Ottaviano & Dario Pelosi & Alberto Zuccari, 2018. "Dynamic Analysis of a Hybrid Energy Storage System (H-ESS) Coupled to a Photovoltaic (PV) Plant," Energies, MDPI, vol. 11(2), pages 1-23, February.
    16. Andrea Mannelli & Francesco Papi & George Pechlivanoglou & Giovanni Ferrara & Alessandro Bianchini, 2021. "Discrete Wavelet Transform for the Real-Time Smoothing of Wind Turbine Power Using Li-Ion Batteries," Energies, MDPI, vol. 14(8), pages 1-32, April.
    17. Luo, Xing & Wang, Jihong & Dooner, Mark & Clarke, Jonathan, 2015. "Overview of current development in electrical energy storage technologies and the application potential in power system operation," Applied Energy, Elsevier, vol. 137(C), pages 511-536.
    18. Daghi, Majid & Sedghi, Mahdi & Ahmadian, Ali & Aliakbar-Golkar, Masoud, 2016. "Factor analysis based optimal storage planning in active distribution network considering different battery technologies," Applied Energy, Elsevier, vol. 183(C), pages 456-469.
    19. Ayat-allah Bouramdane & Alexis Tantet & Philippe Drobinski, 2021. "Utility-Scale PV-Battery versus CSP-Thermal Storage in Morocco: Storage and Cost Effect under Penetration Scenarios," Energies, MDPI, vol. 14(15), pages 1-43, August.
    20. Bizon, Nicu, 2018. "Effective mitigation of the load pulses by controlling the battery/SMES hybrid energy storage system," Applied Energy, Elsevier, vol. 229(C), pages 459-473.

    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:381:y:2025:i:c:s0306261924025017. 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.