IDEAS home Printed from https://ideas.repec.org/a/eee/rensus/v78y2017icp1188-1207.html
   My bibliography  Save this article

Mathematical modelling of wave energy converters: A review of nonlinear approaches

Author

Listed:
  • Penalba, Markel
  • Giorgi, Giussepe
  • Ringwood, John V.

Abstract

The wave energy sector has made and is still doing a great effort in order to open up a niche in the energy market, working on several and diverse concepts and making advances in all aspects towards more efficient technologies. However, economic viability has not been achieved yet, for which maximisation of power production over the full range of sea conditions is crucial. Precise mathematical models are essential to accurately reproduce the behaviour, including nonlinear dynamics, and understand the performance of wave energy converters. Therefore, nonlinear models must be considered, which are required for power absorption assessment, simulation of devices motion and model-based control systems. Main sources of nonlinear dynamics within the entire chain of a wave energy converter - incoming wave trains, wave-structure interaction, power take-off systems or mooring lines- are identified, with especial attention to the wave-device hydrodynamic interaction, and their influence is studied in the present paper for different types of converters. In addition, different approaches to model nonlinear wave-device interaction are presented, highlighting their advantages and drawbacks. Besides the traditional Navier-Stokes equations or potential flow methods, ‘new’ methods such as system-identification models, smoothed particle hydrodynamics or nonlinear potential flow methods are analysed.

Suggested Citation

  • Penalba, Markel & Giorgi, Giussepe & Ringwood, John V., 2017. "Mathematical modelling of wave energy converters: A review of nonlinear approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 78(C), pages 1188-1207.
    • Handle: RePEc:eee:rensus:v:78:y:2017:i:c:p:1188-1207
    DOI: 10.1016/j.rser.2016.11.137
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1364032116308784
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.rser.2016.11.137?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. Teixeira, Paulo R.F. & Davyt, Djavan P. & Didier, Eric & Ramalhais, Rubén, 2013. "Numerical simulation of an oscillating water column device using a code based on Navier–Stokes equations," Energy, Elsevier, vol. 61(C), pages 513-530.
    2. Luo, Yongyao & Nader, Jean-Roch & Cooper, Paul & Zhu, Song-Ping, 2014. "Nonlinear 2D analysis of the efficiency of fixed Oscillating Water Column wave energy converters," Renewable Energy, Elsevier, vol. 64(C), pages 255-265.
    3. Reeve, D.E. & Chen, Y. & Pan, S. & Magar, V. & Simmonds, D.J. & Zacharioudaki, A., 2011. "An investigation of the impacts of climate change on wave energy generation: The Wave Hub, Cornwall, UK," Renewable Energy, Elsevier, vol. 36(9), pages 2404-2413.
    4. Markel Penalba & John V. Ringwood, 2016. "A Review of Wave-to-Wire Models for Wave Energy Converters," Energies, MDPI, vol. 9(7), pages 1-45, June.
    5. Babarit, A. & Hals, J. & Muliawan, M.J. & Kurniawan, A. & Moan, T. & Krokstad, J., 2012. "Numerical benchmarking study of a selection of wave energy converters," Renewable Energy, Elsevier, vol. 41(C), pages 44-63.
    6. Luo, Yongyao & Wang, Zhengwei & Peng, Guangjie & Xiao, Yexiang & Zhai, Liming & Liu, Xin & Zhang, Qi, 2014. "Numerical simulation of a heave-only floating OWC (oscillating water column) device," Energy, Elsevier, vol. 76(C), pages 799-806.
    7. Henderson, Ross, 2006. "Design, simulation, and testing of a novel hydraulic power take-off system for the Pelamis wave energy converter," Renewable Energy, Elsevier, vol. 31(2), pages 271-283.
    8. Rico H. Hansen & Morten M. Kramer & Enrique Vidal, 2013. "Discrete Displacement Hydraulic Power Take-Off System for the Wavestar Wave Energy Converter," Energies, MDPI, vol. 6(8), pages 1-44, August.
    9. Falcão, António F.O. & Henriques, João C.C. & Cândido, José J., 2012. "Dynamics and optimization of the OWC spar buoy wave energy converter," Renewable Energy, Elsevier, vol. 48(C), pages 369-381.
    10. Kofoed, Jens Peter & Frigaard, Peter & Friis-Madsen, Erik & Sørensen, Hans Chr., 2006. "Prototype testing of the wave energy converter wave dragon," Renewable Energy, Elsevier, vol. 31(2), pages 181-189.
    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. Guo, Bingyong & Ringwood, John V., 2021. "Geometric optimisation of wave energy conversion devices: A survey," Applied Energy, Elsevier, vol. 297(C).
    2. Dongsheng Qiao & Rizwan Haider & Jun Yan & Dezhi Ning & Binbin Li, 2020. "Review of Wave Energy Converter and Design of Mooring System," Sustainability, MDPI, vol. 12(19), pages 1-31, October.
    3. Penalba, Markel & Ulazia, Alain & Ibarra-Berastegui, Gabriel & Ringwood, John & Sáenz, Jon, 2018. "Wave energy resource variation off the west coast of Ireland and its impact on realistic wave energy converters’ power absorption," Applied Energy, Elsevier, vol. 224(C), pages 205-219.
    4. Gaspar, José F. & Kamarlouei, Mojtaba & Sinha, Ashank & Xu, Haitong & Calvário, Miguel & Faÿ, François-Xavier & Robles, Eider & Guedes Soares, C., 2017. "Analysis of electrical drive speed control limitations of a power take-off system for wave energy converters," Renewable Energy, Elsevier, vol. 113(C), pages 335-346.
    5. Albert, Alberto & Berselli, Giovanni & Bruzzone, Luca & Fanghella, Pietro, 2017. "Mechanical design and simulation of an onshore four-bar wave energy converter," Renewable Energy, Elsevier, vol. 114(PB), pages 766-774.
    6. Eugen Rusu, 2014. "Evaluation of the Wave Energy Conversion Efficiency in Various Coastal Environments," Energies, MDPI, vol. 7(6), pages 1-17, June.
    7. Penalba, Markel & Davidson, Josh & Windt, Christian & Ringwood, John V., 2018. "A high-fidelity wave-to-wire simulation platform for wave energy converters: Coupled numerical wave tank and power take-off models," Applied Energy, Elsevier, vol. 226(C), pages 655-669.
    8. Gomes, R.P.F. & Henriques, J.C.C. & Gato, L.M.C. & Falcão, A.F.O., 2020. "Time-domain simulation of a slack-moored floating oscillating water column and validation with physical model tests," Renewable Energy, Elsevier, vol. 149(C), pages 165-180.
    9. Collins, Ieuan & Hossain, Mokarram & Dettmer, Wulf & Masters, Ian, 2021. "Flexible membrane structures for wave energy harvesting: A review of the developments, materials and computational modelling approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 151(C).
    10. 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.
    11. Ji Woo Nam & Yong Jun Sung & Seong Wook Cho, 2021. "Effective Mooring Rope Tension in Mechanical and Hydraulic Power Take-Off of Wave Energy Converter," Sustainability, MDPI, vol. 13(17), pages 1-20, August.
    12. Kushal A. Prasad & Aneesh A. Chand & Nallapaneni Manoj Kumar & Sumesh Narayan & Kabir A. Mamun, 2022. "A Critical Review of Power Take-Off Wave Energy Technology Leading to the Conceptual Design of a Novel Wave-Plus-Photon Energy Harvester for Island/Coastal Communities’ Energy Needs," Sustainability, MDPI, vol. 14(4), pages 1-55, February.
    13. Zhang, Yongkuang & Zhou, Yu & Chen, Weixing & Zhang, Weidong & Gao, Feng, 2022. "Design, modeling and numerical analysis of a WEC-Glider (WEG)," Renewable Energy, Elsevier, vol. 188(C), pages 911-921.
    14. 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.
    15. 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.
    16. Tunde Aderinto & Hua Li, 2018. "Ocean Wave Energy Converters: Status and Challenges," Energies, MDPI, vol. 11(5), pages 1-26, May.
    17. Penalba, Markel & Ringwood, John V., 2019. "A high-fidelity wave-to-wire model for wave energy converters," Renewable Energy, Elsevier, vol. 134(C), pages 367-378.
    18. Falcão, António F.O. & Henriques, João C.C., 2016. "Oscillating-water-column wave energy converters and air turbines: A review," Renewable Energy, Elsevier, vol. 85(C), pages 1391-1424.
    19. Ning, De-Zhi & Shi, Jin & Zou, Qing-Ping & Teng, Bin, 2015. "Investigation of hydrodynamic performance of an OWC (oscillating water column) wave energy device using a fully nonlinear HOBEM (higher-order boundary element method)," Energy, Elsevier, vol. 83(C), pages 177-188.
    20. Markel Penalba & Nathan P. Sell & Andy J. Hillis & John V. Ringwood, 2017. "Validating a Wave-to-Wire Model for a Wave Energy Converter—Part I: The Hydraulic Transmission System," Energies, MDPI, vol. 10(7), pages 1-22, July.

    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:rensus:v:78:y:2017:i:c:p:1188-1207. 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/600126/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.