IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v88y2016icp317-324.html
   My bibliography  Save this article

Effect of free surface deformation on the extractable power of a finite width turbine array

Author

Listed:
  • Vogel, C.R.
  • Houlsby, G.T.
  • Willden, R.H.J.

Abstract

The effect of free surface deformation on the power extracted by a tidal turbine array partially spanning a wide channel is investigated using a theoretical model. Two predominant flow scales are assumed; turbine-scale flow, and array-scale flow, which are analysed as quasi-inviscid open channel flow problems in which conservation of mass, momentum, and energy are considered, and coupled through kinematic and dynamic boundary conditions. Power extraction may be maximised by determining the optimum inter-turbine spacing, which also enhances efficiency (ratio of power generated to power removed from the flow). Power extraction and efficiency increase as Froude number increases, improving open channel array performance. In the infinitely wide channel limit, the extracted power depends only on Froude number and local blockage (ratio of turbine to local flow passage areas). At zero Froude number, the peak power coefficient increases from the Lanchester-Betz limit (0.593) to 0.798, occurring when the local blockage ratio is approximately 0.4. Froude numbers in the range of 0.1–0.2, typical of prospective tidal energy sites, increase the peak power coefficient by an additional 1%–4.5% when the array occupies a negligible fraction of the channel, increasing further as a greater proportion of the channel is occupied.

Suggested Citation

  • Vogel, C.R. & Houlsby, G.T. & Willden, R.H.J., 2016. "Effect of free surface deformation on the extractable power of a finite width turbine array," Renewable Energy, Elsevier, vol. 88(C), pages 317-324.
    • Handle: RePEc:eee:renene:v:88:y:2016:i:c:p:317-324
    DOI: 10.1016/j.renene.2015.11.050
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148115304717
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2015.11.050?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. Vennell, Ross & Funke, Simon W. & Draper, Scott & Stevens, Craig & Divett, Tim, 2015. "Designing large arrays of tidal turbines: A synthesis and review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 41(C), pages 454-472.
    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. Chen, Yaling & Lin, Binliang & Liang, Dongfang, 2023. "Interactions between approaching flow and hydrokinetic turbines in a staggered layout," Renewable Energy, Elsevier, vol. 218(C).
    2. Verbeek, M.C. & Labeur, R.J. & Uijttewaal, W.S.J., 2020. "The performance of a weir-mounted tidal turbine: Field observations and theoretical modelling," Renewable Energy, Elsevier, vol. 153(C), pages 601-614.
    3. Ross, Hannah & Polagye, Brian, 2020. "An experimental assessment of analytical blockage corrections for turbines," Renewable Energy, Elsevier, vol. 152(C), pages 1328-1341.
    4. Yosry, Ahmed Gharib & Álvarez, Eduardo Álvarez & Valdés, Rodolfo Espina & Pandal, Adrián & Marigorta, Eduardo Blanco, 2023. "Experimental and multiphase modeling of small vertical-axis hydrokinetic turbine with free-surface variations," Renewable Energy, Elsevier, vol. 203(C), pages 788-801.
    5. Luca Cacciali & Lorenzo Battisti & Sergio Dell’Anna, 2023. "Multi-Array Design for Hydrokinetic Turbines in Hydropower Canals," Energies, MDPI, vol. 16(5), pages 1-26, February.
    6. Verbeek, M.C. & Labeur, R.J. & Uijttewaal, W.S.J., 2021. "The performance of a weir-mounted tidal turbine: An experimental investigation," Renewable Energy, Elsevier, vol. 168(C), pages 64-75.
    7. Vogel, C.R. & Willden, R.H.J. & Houlsby, G.T., 2017. "Power available from a depth-averaged simulation of a tidal turbine array," Renewable Energy, Elsevier, vol. 114(PB), pages 513-524.
    8. Nasteho Djama Dirieh & Jérôme Thiébot & Sylvain Guillou & Nicolas Guillou, 2022. "Blockage Corrections for Tidal Turbines—Application to an Array of Turbines in the Alderney Race," Energies, MDPI, vol. 15(10), pages 1-18, May.
    9. Lilia Flores Mateos & Michael Hartnett, 2019. "Incorporation of a Non-Constant Thrust Force Coefficient to Assess Tidal-Stream Energy," Energies, MDPI, vol. 12(21), pages 1-17, October.
    10. Patel, Vimal & Eldho, T.I. & Prabhu, S.V., 2019. "Velocity and performance correction methodology for hydrokinetic turbines experimented with different geometry of the channel," Renewable Energy, Elsevier, vol. 131(C), pages 1300-1317.
    11. Maduka, Maduka & Li, Chi Wai, 2022. "Experimental evaluation of power performance and wake characteristics of twin flanged duct turbines in tandem under bi-directional tidal flows," Renewable Energy, Elsevier, vol. 199(C), pages 1543-1567.

    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. Zhang, Yidan & Shek, Jonathan K.H. & Mueller, Markus A., 2023. "Controller design for a tidal turbine array, considering both power and loads aspects," Renewable Energy, Elsevier, vol. 216(C).
    2. Wilding, Thomas A. & Gill, Andrew B. & Boon, Arjen & Sheehan, Emma & Dauvin, Jean–Claude & Pezy, Jean-Philippe & O’Beirn, Francis & Janas, Urszula & Rostin, Liis & De Mesel, Ilse, 2017. "Turning off the DRIP (‘Data-rich, information-poor’) – rationalising monitoring with a focus on marine renewable energy developments and the benthos," Renewable and Sustainable Energy Reviews, Elsevier, vol. 74(C), pages 848-859.
    3. Zhang, Jisheng & Zhou, Yudi & Lin, Xiangfeng & Wang, Guohui & Guo, Yakun & Chen, Hao, 2022. "Experimental investigation on wake and thrust characteristics of a twin-rotor horizontal axis tidal stream turbine," Renewable Energy, Elsevier, vol. 195(C), pages 701-715.
    4. María José Suárez-López & Rodolfo Espina-Valdés & Víctor Manuel Fernández Pacheco & Antonio Navarro Manso & Eduardo Blanco-Marigorta & Eduardo Álvarez-Álvarez, 2019. "A Review of Software Tools to Study the Energetic Potential of Tidal Currents," Energies, MDPI, vol. 12(9), pages 1-19, May.
    5. Barbarelli, Silvio & Florio, Gaetano & Lo Zupone, Giacomo & Scornaienchi, Nino Michele, 2018. "First techno-economic evaluation of array configuration of self-balancing tidal kinetic turbines," Renewable Energy, Elsevier, vol. 129(PA), pages 183-200.
    6. González-Gorbeña, Eduardo & Pacheco, André & Plomaritis, Theocharis A. & Ferreira, Óscar & Sequeira, Cláudia, 2018. "Estimating the optimum size of a tidal array at a multi-inlet system considering environmental and performance constraints," Applied Energy, Elsevier, vol. 232(C), pages 292-311.
    7. Lin, Jie & Lin, Binliang & Sun, Jian & Chen, Yaling, 2017. "Numerical model simulation of island-headland induced eddies in a site for tidal current energy extraction," Renewable Energy, Elsevier, vol. 101(C), pages 204-213.
    8. Deng, Guizhong & Zhang, Zhaoru & Li, Ye & Liu, Hailong & Xu, Wentao & Pan, Yulin, 2020. "Prospective of development of large-scale tidal current turbine array: An example numerical investigation of Zhejiang, China," Applied Energy, Elsevier, vol. 264(C).
    9. Si, Yulin & Liu, Xiaodong & Wang, Tao & Feng, Bo & Qian, Peng & Ma, Yong & Zhang, Dahai, 2022. "State-of-the-art review and future trends of development of tidal current energy converters in China," Renewable and Sustainable Energy Reviews, Elsevier, vol. 167(C).
    10. Vinod, Ashwin & Banerjee, Arindam, 2019. "Performance and near-wake characterization of a tidal current turbine in elevated levels of free stream turbulence," Applied Energy, Elsevier, vol. 254(C).
    11. Vogel, C.R. & Willden, R.H.J. & Houlsby, G.T., 2019. "Tidal stream turbine power capping in a head-driven tidal channel," Renewable Energy, Elsevier, vol. 136(C), pages 491-499.
    12. Brown, Erik & Sulaeman, Samer & Quispe-Abad, Raul & Müller, Norbert & Moran, Emilio, 2023. "Safe passage for fish: The case for in-stream turbines," Renewable and Sustainable Energy Reviews, Elsevier, vol. 173(C).
    13. González-Gorbeña, Eduardo & Qassim, Raad Y. & Rosman, Paulo C.C., 2016. "Optimisation of hydrokinetic turbine array layouts via surrogate modelling," Renewable Energy, Elsevier, vol. 93(C), pages 45-57.
    14. Cooke, S.C. & Willden, R.H.J. & Byrne, B.W., 2016. "The potential of cross-stream aligned sub-arrays to increase tidal turbine efficiency," Renewable Energy, Elsevier, vol. 97(C), pages 284-292.
    15. Van Thinh Nguyen & Alina Santa Cruz & Sylvain S. Guillou & Mohamad N. Shiekh Elsouk & Jérôme Thiébot, 2019. "Effects of the Current Direction on the Energy Production of a Tidal Farm: The Case of Raz Blanchard (France)," Energies, MDPI, vol. 12(13), pages 1-20, June.
    16. Pérez-Ortiz, Alberto & Borthwick, Alistair G.L. & McNaughton, James & Avdis, Alexandros, 2017. "Characterization of the tidal resource in Rathlin Sound," Renewable Energy, Elsevier, vol. 114(PA), pages 229-243.
    17. Federico Attene & Francesco Balduzzi & Alessandro Bianchini & M. Sergio Campobasso, 2020. "Using Experimentally Validated Navier-Stokes CFD to Minimize Tidal Stream Turbine Power Losses Due to Wake/Turbine Interactions," Sustainability, MDPI, vol. 12(21), pages 1-26, October.
    18. Donald R. Noble & Samuel Draycott & Anup Nambiar & Brian G. Sellar & Jeffrey Steynor & Aristides Kiprakis, 2020. "Experimental Assessment of Flow, Performance, and Loads for Tidal Turbines in a Closely-Spaced Array," Energies, MDPI, vol. 13(8), pages 1-17, April.
    19. O’Hara Murray, Rory & Gallego, Alejandro, 2017. "A modelling study of the tidal stream resource of the Pentland Firth, Scotland," Renewable Energy, Elsevier, vol. 102(PB), pages 326-340.
    20. Pérez-Ortiz, Alberto & Borthwick, Alistair G.L. & McNaughton, James & Smith, Helen C.M. & Xiao, Qing, 2017. "Resource characterization of sites in the vicinity of an island near a landmass," Renewable Energy, Elsevier, vol. 103(C), pages 265-276.

    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:88:y:2016:i:c:p:317-324. 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.