IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v296y2024ics0360544224006601.html
   My bibliography  Save this article

High-fidelity numerical modelling of a two-WEC array with accurate implementation of the PTO system and control strategy using DualSPHysics

Author

Listed:
  • Quartier, Nicolas
  • Vervaet, Timothy
  • Fernandez, Gael Verao
  • Domínguez, José M.
  • Crespo, Alejandro J.C.
  • Stratigaki, Vasiliki
  • Troch, Peter

Abstract

In order for Wave Energy Converters (WECs) to become economically viable they will have to be installed closely together in so-called WEC arrays. When WECs are placed closely together they influence each other’s motion, which is challenging to implement in a numerical model. The accurate modelling of WECs in WEC arrays is crucial for their further development into cost-effective renewable energy converters. This paper presents the study of numerical modelling of an array of two heaving WECs (a two-WEC array) placed in close proximity of each other in order to increase their interaction effect. The numerical model uses DualSPHysics, a Smoothed Particle Hydrodynamics (SPH) based software to model wave-WEC interaction, coupled to Project Chrono for the modelling of the Power Take-Off (PTO) system and the friction. First, a series of numerical system identification tests are simulated: a free-decay test of an isolated WEC, radiation tests and an excitation test. During the radiation test one WEC is moved by an external force with a chirp-up noise signal, while the other WEC is kept still. This allows the computation of the impedance matrix, and thereby also the hydrodynamic coefficients of the two-WEC array, which has not been done before in SPH. Results were validated with experimental data from the WECfarm test campaign. Secondly, a series of numerical dynamic tests are simulated of the two-WEC array in regular and irregular waves. In the experimental test campaign a friction force caused by the motor and gearbox was counteracting the WEC’s motion, so a friction compensation (FC) force was added to cancel out this friction. This friction and FC force was numerically modelled by adding a novel implementation in Project Chrono. Furthermore, a novel global control strategy was implemented using Project Chrono, in which the PTO force on each WEC depends on the velocity of both WECs. Overall, good to very good agreement was found in terms of heave and free surface elevation when comparing numerical to experimental results.

Suggested Citation

  • Quartier, Nicolas & Vervaet, Timothy & Fernandez, Gael Verao & Domínguez, José M. & Crespo, Alejandro J.C. & Stratigaki, Vasiliki & Troch, Peter, 2024. "High-fidelity numerical modelling of a two-WEC array with accurate implementation of the PTO system and control strategy using DualSPHysics," Energy, Elsevier, vol. 296(C).
    • Handle: RePEc:eee:energy:v:296:y:2024:i:c:s0360544224006601
    DOI: 10.1016/j.energy.2024.130888
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544224006601
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2024.130888?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. Ropero-Giralda, Pablo & Crespo, Alejandro J.C. & Tagliafierro, Bonaventura & Altomare, Corrado & Domínguez, José M. & Gómez-Gesteira, Moncho & Viccione, Giacomo, 2020. "Efficiency and survivability analysis of a point-absorber wave energy converter using DualSPHysics," Renewable Energy, Elsevier, vol. 162(C), pages 1763-1776.
    2. Brito, M. & Canelas, R.B. & García-Feal, O. & Domínguez, J.M. & Crespo, A.J.C. & Ferreira, R.M.L. & Neves, M.G. & Teixeira, L., 2020. "A numerical tool for modelling oscillating wave surge converter with nonlinear mechanical constraints," Renewable Energy, Elsevier, vol. 146(C), pages 2024-2043.
    3. Zhou, Binzhen & Hu, Jianjian & Jin, Peng & Sun, Ke & Li, Ye & Ning, Dezhi, 2023. "Power performance and motion response of a floating wind platform and multiple heaving wave energy converters hybrid system," Energy, Elsevier, vol. 265(C).
    4. Li, Ye & Yu, Yi-Hsiang, 2012. "A synthesis of numerical methods for modeling wave energy converter-point absorbers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 16(6), pages 4352-4364.
    5. Windt, Christian & Davidson, Josh & Ringwood, John V., 2018. "High-fidelity numerical modelling of ocean wave energy systems: A review of computational fluid dynamics-based numerical wave tanks," Renewable and Sustainable Energy Reviews, Elsevier, vol. 93(C), pages 610-630.
    6. Tagliafierro, Bonaventura & Martínez-Estévez, Iván & Domínguez, José M. & Crespo, Alejandro J.C. & Göteman, Malin & Engström, Jens & Gómez-Gesteira, Moncho, 2022. "A numerical study of a taut-moored point-absorber wave energy converter with a linear power take-off system under extreme wave conditions," Applied Energy, Elsevier, vol. 311(C).
    7. Penalba, Markel & Ulazia, Alain & Saénz, Jon & Ringwood, John V., 2020. "Impact of long-term resource variations on wave energy Farms: The Icelandic case," Energy, Elsevier, vol. 192(C).
    8. Wu, Jinming & Yao, Yingxue & Zhou, Liang & Chen, Ni & Yu, Huifeng & Li, Wei & Göteman, Malin, 2017. "Performance analysis of solo Duck wave energy converter arrays under motion constraints," Energy, Elsevier, vol. 139(C), pages 155-169.
    9. Jin, Siya & Patton, Ron J. & Guo, Bingyong, 2018. "Viscosity effect on a point absorber wave energy converter hydrodynamics validated by simulation and experiment," Renewable Energy, Elsevier, vol. 129(PA), pages 500-512.
    10. Gael Verao Fernandez & Philip Balitsky & Vasiliki Stratigaki & Peter Troch, 2018. "Coupling Methodology for Studying the Far Field Effects of Wave Energy Converter Arrays over a Varying Bathymetry," Energies, MDPI, vol. 11(11), pages 1-24, October.
    11. Coe, Ryan G. & Bacelli, Giorgio & Forbush, Dominic, 2021. "A practical approach to wave energy modeling and control," Renewable and Sustainable Energy Reviews, Elsevier, vol. 142(C).
    12. Zhu, Guixun & Samuel, John & Zheng, Siming & Hughes, Jason & Simmonds, David & Greaves, Deborah, 2023. "Numerical investigation on the hydrodynamic performance of a 2D U-shaped Oscillating Water Column wave energy converter," Energy, Elsevier, vol. 274(C).
    13. Philip Balitsky & Nicolas Quartier & Gael Verao Fernandez & Vasiliki Stratigaki & Peter Troch, 2018. "Analyzing the Near-Field Effects and the Power Production of an Array of Heaving Cylindrical WECs and OSWECs Using a Coupled Hydrodynamic-PTO Model," Energies, MDPI, vol. 11(12), pages 1-32, December.
    14. Pablo Ropero-Giralda & Alejandro J. C. Crespo & Ryan G. Coe & Bonaventura Tagliafierro & José M. Domínguez & Giorgio Bacelli & Moncho Gómez-Gesteira, 2021. "Modelling a Heaving Point-Absorber with a Closed-Loop Control System Using the DualSPHysics Code," Energies, MDPI, vol. 14(3), pages 1-20, February.
    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. Tagliafierro, Bonaventura & Martínez-Estévez, Iván & Domínguez, José M. & Crespo, Alejandro J.C. & Göteman, Malin & Engström, Jens & Gómez-Gesteira, Moncho, 2022. "A numerical study of a taut-moored point-absorber wave energy converter with a linear power take-off system under extreme wave conditions," Applied Energy, Elsevier, vol. 311(C).
    2. Pablo Ropero-Giralda & Alejandro J. C. Crespo & Ryan G. Coe & Bonaventura Tagliafierro & José M. Domínguez & Giorgio Bacelli & Moncho Gómez-Gesteira, 2021. "Modelling a Heaving Point-Absorber with a Closed-Loop Control System Using the DualSPHysics Code," Energies, MDPI, vol. 14(3), pages 1-20, February.
    3. Guo, Bingyong & Ringwood, John V., 2021. "Geometric optimisation of wave energy conversion devices: A survey," Applied Energy, Elsevier, vol. 297(C).
    4. Ropero-Giralda, Pablo & Crespo, Alejandro J.C. & Tagliafierro, Bonaventura & Altomare, Corrado & Domínguez, José M. & Gómez-Gesteira, Moncho & Viccione, Giacomo, 2020. "Efficiency and survivability analysis of a point-absorber wave energy converter using DualSPHysics," Renewable Energy, Elsevier, vol. 162(C), pages 1763-1776.
    5. 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).
    6. Bonaventura Tagliafierro & Madjid Karimirad & Iván Martínez-Estévez & José M. Domínguez & Giacomo Viccione & Alejandro J. C. Crespo, 2022. "Numerical Assessment of a Tension-Leg Platform Wind Turbine in Intermediate Water Using the Smoothed Particle Hydrodynamics Method," Energies, MDPI, vol. 15(11), pages 1-23, May.
    7. 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).
    8. Martić, Ivana & Degiuli, Nastia & Grlj, Carlo Giorgio, 2024. "Scaling of wave energy converters for optimum performance in the Adriatic Sea," Energy, Elsevier, vol. 294(C).
    9. Luan, Zhengxiao & Chen, Bangqi & Jin, Ruijia & He, Guanghua & Ghassemi, Hassan & Jing, Penglin, 2024. "Validation of a numerical wave tank based on overset mesh for the wavestar-like wave energy converter in the South China Sea," Energy, Elsevier, vol. 290(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. Stratigaki, Vasiliki & Troch, Peter & Forehand, David, 2019. "A fundamental coupling methodology for modeling near-field and far-field wave effects of floating structures and wave energy devices," Renewable Energy, Elsevier, vol. 143(C), pages 1608-1627.
    13. Markos Bonovas & Kostas Belibassakis & Eugen Rusu, 2019. "Multi-DOF WEC Performance in Variable Bathymetry Regions Using a Hybrid 3D BEM and Optimization," Energies, MDPI, vol. 12(11), pages 1-18, June.
    14. 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.
    15. Chen, Shao-En & Pan, Fu-Ting & Yang, Ray-Yeng & Wu, Chia-Che, 2023. "A multi-physics system integration and modeling method for piezoelectric wave energy harvester," Applied Energy, Elsevier, vol. 349(C).
    16. Ma, Lianghua & Liu, Xiaoliang & Liu, Haoyang & Alizadeh, As'ad & Shamsborhan, Mahmoud, 2023. "The influence of the struts on mass diffusion system of lateral hydrogen micro jet in combustor of scramjet engine: Numerical study," Energy, Elsevier, vol. 279(C).
    17. Oliveira, D. & Lopes de Almeida, J.P.P.G. & Santiago, A. & Rigueiro, C., 2022. "Development of a CFD-based numerical wave tank of a novel multipurpose wave energy converter," Renewable Energy, Elsevier, vol. 199(C), pages 226-245.
    18. Zeng, Xinmeng & Shao, Yanlin & Feng, Xingya & Xu, Kun & Jin, Ruijia & Li, Huajun, 2024. "Nonlinear hydrodynamics of floating offshore wind turbines: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 191(C).
    19. 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.
    20. Bonovas, Markos I. & Anagnostopoulos, Ioannis S., 2020. "Modelling of operation and optimum design of a wave power take-off system with energy storage," Renewable Energy, Elsevier, vol. 147(P1), pages 502-514.

    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:energy:v:296:y:2024:i:c:s0360544224006601. 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/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.