IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v219y2023ip1s0960148123013563.html
   My bibliography  Save this article

Cooperative model predictive control for Wave Energy Converter arrays

Author

Listed:
  • Zhang, Zhenquan
  • Qin, Jian
  • Zhang, Yuchen
  • Huang, Shuting
  • Liu, Yanjun
  • Xue, Gang

Abstract

It is well known that commercial Wave Energy Converters (WECs) are likely to be deployed in arrays, which gives the possibility to enhance the energy harvesting properties of the wave farm as a whole. Advanced control strategies are necessary to exploit the potential and capture as much energy as possible in a limited sea space. Centralized control is a natural benchmark, as it sees the array as a large-scale system, making energy maximization a large plantwide problem. However, centralized control has a high requirement for computational efficiency. In this paper, a cooperative model predictive control (MPC) is proposed to achieve energy maximization while reducing computational cost. A modified array model is constructed to capture the dynamics of interactions in arrays, explicitly showing the linear couplings in the system state, control input, and excitation force of each subsystem. Sensitivity analyses are performed to evaluate the performance for different array layouts, separation distances, and sea states. The results show that cooperative MPC can achieve an energy capture performance that approximates centralized MPC, outperforming decentralized MPC significantly, and is well adapted to sea states. Furthermore, the proposed method has the potential to improve computational efficiency by 14.86%–51.14% for simulations in the study.

Suggested Citation

  • Zhang, Zhenquan & Qin, Jian & Zhang, Yuchen & Huang, Shuting & Liu, Yanjun & Xue, Gang, 2023. "Cooperative model predictive control for Wave Energy Converter arrays," Renewable Energy, Elsevier, vol. 219(P1).
  • Handle: RePEc:eee:renene:v:219:y:2023:i:p1:s0960148123013563
    DOI: 10.1016/j.renene.2023.119441
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148123013563
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.renene.2023.119441?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. Zhang, Zhenquan & Qin, Jian & Wang, Dengshuai & Wang, Wei & Liu, Yanjun & Xue, Gang, 2023. "Research on wave excitation estimators for arrays of wave energy converters," Energy, Elsevier, vol. 264(C).
    2. Mahmoodi, Kumars & Nepomuceno, Erivelton & Razminia, Abolhassan, 2022. "Wave excitation force forecasting using neural networks," Energy, Elsevier, vol. 247(C).
    3. Martin, Dillon & Li, Xiaofan & Chen, Chien-An & Thiagarajan, Krish & Ngo, Khai & Parker, Robert & Zuo, Lei, 2020. "Numerical analysis and wave tank validation on the optimal design of a two-body wave energy converter," Renewable Energy, Elsevier, vol. 145(C), pages 632-641.
    4. Wu, Jinming & Yao, Yingxue & Zhou, Liang & Göteman, Malin, 2018. "Real-time latching control strategies for the solo Duck wave energy converter in irregular waves," Applied Energy, Elsevier, vol. 222(C), pages 717-728.
    5. Murai, Motohiko & Li, Qiao & Funada, Junki, 2021. "Study on power generation of single Point Absorber Wave Energy Converters (PA-WECs) and arrays of PA-WECs," Renewable Energy, Elsevier, vol. 164(C), pages 1121-1132.
    6. Zou, Shangyan & Abdelkhalik, Ossama, 2020. "Collective control in arrays of wave energy converters," Renewable Energy, Elsevier, vol. 156(C), pages 361-369.
    7. Lehmann, Marcus & Karimpour, Farid & Goudey, Clifford A. & Jacobson, Paul T. & Alam, Mohammad-Reza, 2017. "Ocean wave energy in the United States: Current status and future perspectives," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 1300-1313.
    8. Li, Xiaofan & Martin, Dillon & Liang, Changwei & Chen, ChienAn & Parker, Robert G. & Zuo, Lei, 2021. "Characterization and verification of a two-body wave energy converter with a novel power take-off," Renewable Energy, Elsevier, vol. 163(C), pages 910-920.
    9. Li, Guang & Belmont, Michael R., 2014. "Model predictive control of sea wave energy converters – Part I: A convex approach for the case of a single device," Renewable Energy, Elsevier, vol. 69(C), pages 453-463.
    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. He, Guanghua & Luan, Zhengxiao & Zhang, Wei & He, Runhua & Liu, Chaogang & Yang, Kaibo & Yang, Changhao & Jing, Penglin & Zhang, Zhigang, 2023. "Review on research approaches for multi-point absorber wave energy converters," Renewable Energy, Elsevier, vol. 218(C).
    2. Tunde Aderinto & Hua Li, 2020. "Effect of Spatial and Temporal Resolution Data on Design and Power Capture of a Heaving Point Absorber," Sustainability, MDPI, vol. 12(22), pages 1-17, November.
    3. Li, Demin & Sharma, Sanjay & Borthwick, Alistair G.L. & Huang, Heao & Dong, Xiaochen & Li, Yanni & Shi, Hongda, 2023. "Experimental study of a floating two-body wave energy converter," Renewable Energy, Elsevier, vol. 218(C).
    4. He, Guanghua & Liu, Chaogang & Chen, Bangqi & Ghassemi, Hassan & Liu, Lei & Yang, Kaibo & Luan, Zhengxiao, 2023. "Effect of piecewise damping torques and coefficients on power absorption of a point-absorber wave energy converter," Renewable Energy, Elsevier, vol. 219(P1).
    5. Yadong Wen & Weijun Wang & Hua Liu & Longbo Mao & Hongju Mi & Wenqiang Wang & Guoping Zhang, 2018. "A Shape Optimization Method of a Specified Point Absorber Wave Energy Converter for the South China Sea," Energies, MDPI, vol. 11(10), pages 1-22, October.
    6. Ni, Wenchi & Zhang, Xu & Zhang, Wei & Liang, Shuangling, 2021. "Numerical investigation of adaptive damping control for raft-type wave energy converters," Renewable Energy, Elsevier, vol. 175(C), pages 520-531.
    7. Zhang, Zhenquan & Qin, Jian & Wang, Dengshuai & Wang, Wei & Liu, Yanjun & Xue, Gang, 2023. "Research on wave excitation estimators for arrays of wave energy converters," Energy, Elsevier, vol. 264(C).
    8. Li, L. & Gao, Y. & Ning, D.Z. & Yuan, Z.M., 2021. "Development of a constraint non-causal wave energy control algorithm based on artificial intelligence," Renewable and Sustainable Energy Reviews, Elsevier, vol. 138(C).
    9. Dengshuai Wang & Zhenquan Zhang & Yunpeng Hai & Yanjun Liu & Gang Xue, 2023. "Design and Control of Hydraulic Power Take-Off System for an Array of Point Absorber Wave Energy Converters," Sustainability, MDPI, vol. 15(22), pages 1-25, November.
    10. Iida, Takahito, 2023. "Decomposition and prediction of initial uniform bi-directional water waves using an array of wave-rider buoys," Renewable Energy, Elsevier, vol. 217(C).
    11. Han, Meng & Cao, Feifei & Shi, Hongda & Zhu, Kai & Dong, Xiaochen & Li, Demin, 2023. "Layout optimisation of the two-body heaving wave energy converter array," Renewable Energy, Elsevier, vol. 205(C), pages 410-431.
    12. Qi, Lingfei & Song, Juhuang & Wang, Yuan & Yi, Minyi & Zhang, Zutao & Yan, Jinyue, 2024. "Mechanical motion rectification-based electromagnetic vibration energy harvesting technology: A review," Energy, Elsevier, vol. 289(C).
    13. Chen, Shuo & Jiang, Boxi & Li, Xiaofan & Huang, Jianuo & Wu, Xian & Xiong, Qiuchi & Parker, Robert G. & Zuo, Lei, 2022. "Design, dynamic modeling and wave basin verification of a Hybrid Wave–Current Energy Converter," Applied Energy, Elsevier, vol. 321(C).
    14. Faÿ, François-Xavier & Henriques, João C. & Kelly, James & Mueller, Markus & Abusara, Moahammad & Sheng, Wanan & Marcos, Marga, 2020. "Comparative assessment of control strategies for the biradial turbine in the Mutriku OWC plant," Renewable Energy, Elsevier, vol. 146(C), pages 2766-2784.
    15. Yao, Ganzhou & Luo, Zirong & Lu, Zhongyue & Wang, Mangkuan & Shang, Jianzhong & Guerrerob, Josep M., 2023. "Unlocking the potential of wave energy conversion: A comprehensive evaluation of advanced maximum power point tracking techniques and hybrid strategies for sustainable energy harvesting," Renewable and Sustainable Energy Reviews, Elsevier, vol. 185(C).
    16. Pasta, Edoardo & Faedo, Nicolás & Mattiazzo, Giuliana & Ringwood, John V., 2023. "Towards data-driven and data-based control of wave energy systems: Classification, overview, and critical assessment," Renewable and Sustainable Energy Reviews, Elsevier, vol. 188(C).
    17. Zou, Shangyan & Abdelkhalik, Ossama, 2020. "Collective control in arrays of wave energy converters," Renewable Energy, Elsevier, vol. 156(C), pages 361-369.
    18. Rahimi, Amir & Rezaei, Saeed & Parvizian, Jamshid & Mansourzadeh, Shahriar & Lund, Jorrid & Hssini, Radhouane & Düster, Alexander, 2022. "Numerical and experimental study of the hydrodynamic coefficients and power absorption of a two-body point absorber wave energy converter," Renewable Energy, Elsevier, vol. 201(P1), pages 181-193.
    19. Giannini, Gianmaria & Rosa-Santos, Paulo & Ramos, Victor & Taveira-Pinto, Francisco, 2022. "Wave energy converters design combining hydrodynamic performance and structural assessment," Energy, Elsevier, vol. 249(C).
    20. Rafael Guardeño & Agustín Consegliere & Manuel J. López, 2018. "A Study about Performance and Robustness of Model Predictive Controllers in a WEC System," Energies, MDPI, vol. 11(10), pages 1-23, October.

    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:renene:v:219:y:2023:i:p1:s0960148123013563. 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.journals.elsevier.com/renewable-energy .

    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.