IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v177y2021icp1212-1233.html
   My bibliography  Save this article

Optimal control of wave energy converters with non-integer order performance indices: A dynamic programming approach

Author

Listed:
  • Mahmoodi, Kumars
  • Razminia, Abolhassan
  • Ghassemi, Hassan

Abstract

In this paper, a fundamental theoretical framework of a control strategy is presented for wave energy converters (WECs) in a closed-loop configuration. The problem is translated to the optimal control, based on the Hamilton-Jacobi-Bellman (HJB) theory that some generalized semi-quadratic value functions are used as the stage cost within the performance index. The performance index is introduced as much as possible in the general quadratic form based on a non-integer order integral of the Riemann-Liouville form whose kernel plays as a tuning factor of the resultant optimal controller. Optimizing several compromising requirements in the presence of penalty on the final situation of the WEC is our main effort during which, based on the optimal control theory, a set of rigorous mathematical conditions have been derived for the optimal control law. Moreover, exploiting the capability of the non-integer order integrals, a time-dependent kernel has been involved in the stage cost which can be considered as a natural forgetting factor. A one-body and a two-body heaving point absorber WECs connected to a power take-off (PTO) are considered in order to validate the control strategy in irregular waves. Moreover, the performance of considered one-body WEC with and without the presence of the proposed optimal control strategy is assessed at eight hot spot locations of the Persian Gulf, based on the approximately 20-year (January 2000–May 2019) of the ERA5 reanalysis wave data set.

Suggested Citation

  • Mahmoodi, Kumars & Razminia, Abolhassan & Ghassemi, Hassan, 2021. "Optimal control of wave energy converters with non-integer order performance indices: A dynamic programming approach," Renewable Energy, Elsevier, vol. 177(C), pages 1212-1233.
    • Handle: RePEc:eee:renene:v:177:y:2021:i:c:p:1212-1233
    DOI: 10.1016/j.renene.2021.06.045
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148121009113
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2021.06.045?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. Mahmoodi, Kumars & Ghassemi, Hassan & Razminia, Abolhassan, 2019. "Temporal and spatial characteristics of wave energy in the Persian Gulf based on the ERA5 reanalysis dataset," Energy, Elsevier, vol. 187(C).
    2. Çelik, Anıl & Altunkaynak, Abdüsselam, 2019. "Experimental investigations on the performance of a fixed-oscillating water column type wave energy converter," Energy, Elsevier, vol. 188(C).
    3. Sangi, Roozbeh & Müller, Dirk, 2019. "Application of the second law of thermodynamics to control: A review," Energy, Elsevier, vol. 174(C), pages 938-953.
    4. Mahmoodi, Kumars & Ghassemi, Hassan & Razminia, Abolhassan, 2020. "Performance assessment of a two-body wave energy converter based on the Persian Gulf wave climate," Renewable Energy, Elsevier, vol. 159(C), pages 519-537.
    5. Wang, Liguo & Isberg, Jan & Tedeschi, Elisabetta, 2018. "Review of control strategies for wave energy conversion systems and their validation: the wave-to-wire approach," Renewable and Sustainable Energy Reviews, Elsevier, vol. 81(P1), pages 366-379.
    6. Li, Xiaofan & Liang, Changwei & Chen, Chien-An & Xiong, Qiuchi & Parker, Robert G. & Zuo, Lei, 2020. "Optimum power analysis of a self-reactive wave energy point absorber with mechanically-driven power take-offs," Energy, Elsevier, vol. 195(C).
    7. Ozkop, Emre & Altas, Ismail H., 2017. "Control, power and electrical components in wave energy conversion systems: A review of the technologies," Renewable and Sustainable Energy Reviews, Elsevier, vol. 67(C), pages 106-115.
    8. Sheng, Wanan, 2019. "Wave energy conversion and hydrodynamics modelling technologies: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 109(C), pages 482-498.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gong, Haoxiang & Cao, Feifei & Han, Zhi & Liu, Shangze & Shi, Hongda, 2022. "Study on the wave energy capture spectrum based on wave height take-off," Energy, Elsevier, vol. 250(C).

    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. Mahmoodi, Kumars & Nepomuceno, Erivelton & Razminia, Abolhassan, 2022. "Wave excitation force forecasting using neural networks," Energy, Elsevier, vol. 247(C).
    2. Anthony Roy & François Auger & Florian Dupriez-Robin & Salvy Bourguet & Quoc Tuan Tran, 2018. "Electrical Power Supply of Remote Maritime Areas: A Review of Hybrid Systems Based on Marine Renewable Energies," Energies, MDPI, vol. 11(7), pages 1-27, July.
    3. Yue, Xuhui & Geng, Dazhou & Chen, Qijuan & Zheng, Yang & Gao, Gongzheng & Xu, Lei, 2021. "2-D lookup table based MPPT: Another choice of improving the generating capacity of a wave power system," Renewable Energy, Elsevier, vol. 179(C), pages 625-640.
    4. Mohd Afifi Jusoh & Mohd Zamri Ibrahim & Muhamad Zalani Daud & Aliashim Albani & Zulkifli Mohd Yusop, 2019. "Hydraulic Power Take-Off Concepts for Wave Energy Conversion System: A Review," Energies, MDPI, vol. 12(23), pages 1-23, November.
    5. Aleix Maria-Arenas & Aitor J. Garrido & Eugen Rusu & Izaskun Garrido, 2019. "Control Strategies Applied to Wave Energy Converters: State of the Art," Energies, MDPI, vol. 12(16), pages 1-19, August.
    6. Guo, Bingyong & Ringwood, John V., 2021. "Geometric optimisation of wave energy conversion devices: A survey," Applied Energy, Elsevier, vol. 297(C).
    7. Liu, Zhen & Xu, Chuanli & Kim, Kilwon & Li, Ming, 2022. "Experimental study on the overall performance of a model OWC system under the free-spinning mode in irregular waves," Energy, Elsevier, vol. 250(C).
    8. Wang, Mangkuan & Shang, Jianzhong & Luo, Zirong & Lu, Zhongyue & Yao, Ganzhou, 2023. "Theoretical and numerical studies on improving absorption power of multi-body wave energy convert device with nonlinear bistable structure," Energy, Elsevier, vol. 282(C).
    9. Wang, Chen & Zhang, Yongliang & Deng, Zhengzhi, 2022. "Hydrodynamic performance of a heaving oscillating water column device restrained by a spring-damper system," Renewable Energy, Elsevier, vol. 187(C), pages 331-346.
    10. Yue Hong & Mikael Eriksson & Cecilia Boström & Jianfei Pan & Yun Liu & Rafael Waters, 2020. "Damping Effect Coupled with the Internal Translator Mass of Linear Generator-Based Wave Energy Converters," Energies, MDPI, vol. 13(17), pages 1-14, August.
    11. Wang, Chen & Zhang, Yongliang & Deng, Zhengzhi, 2021. "Theoretical analysis on hydrodynamic performance for a dual-chamber oscillating water column device with a pitching front lip-wall," Energy, Elsevier, vol. 226(C).
    12. Wang, Chen & Zhang, Yongliang & Deng, Zhengzhi, 2022. "A novel dual-chamber oscillating water column system with dual lip-wall pitching motions for wave energy conversion," Energy, Elsevier, vol. 246(C).
    13. Lorenzo Ciappi & Lapo Cheli & Irene Simonetti & Alessandro Bianchini & Giampaolo Manfrida & Lorenzo Cappietti, 2020. "Wave-to-Wire Model of an Oscillating-Water-Column Wave Energy Converter and Its Application to Mediterranean Energy Hot-Spots," Energies, MDPI, vol. 13(21), pages 1-28, October.
    14. Milad Shadman & Corbiniano Silva & Daiane Faller & Zhijia Wu & Luiz Paulo de Freitas Assad & Luiz Landau & Carlos Levi & Segen F. Estefen, 2019. "Ocean Renewable Energy Potential, Technology, and Deployments: A Case Study of Brazil," Energies, MDPI, vol. 12(19), pages 1-37, September.
    15. Liu, Zhen & Xu, Chuanli & Kim, Kilwon & Choi, Jongsu & Hyun, Beom-soo, 2021. "An integrated numerical model for the chamber-turbine system of an oscillating water column wave energy converter," Renewable and Sustainable Energy Reviews, Elsevier, vol. 149(C).
    16. Elie Al Shami & Ran Zhang & Xu Wang, 2018. "Point Absorber Wave Energy Harvesters: A Review of Recent Developments," Energies, MDPI, vol. 12(1), pages 1-36, December.
    17. Hua Liu & Weijun Wang & Shuai Tang & Longbo Mao & Hongju Mi & Guoping Zhang & Jun Liu, 2019. "Reliability Assessment of Water Hydraulic-Drive Wave-Energy Converters," Energies, MDPI, vol. 12(21), pages 1-21, November.
    18. 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).
    19. Çelik, Anıl & Altunkaynak, Abdüsselam, 2021. "An in depth experimental investigation into effects of incident wave characteristics front wall opening and PTO damping on the water column displacement and air differential pressure in an OWC chamber," Energy, Elsevier, vol. 230(C).
    20. 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).

    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:177:y:2021:i:c:p:1212-1233. 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.