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The potential of cross-stream aligned sub-arrays to increase tidal turbine efficiency

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  • Cooke, S.C.
  • Willden, R.H.J.
  • Byrne, B.W.

Abstract

A theoretical model is proposed for a row of sub-arrays of tidal turbines aligned in a cross-stream fashion across part of a wide channel. This model builds on previous work investigating the behaviour of a single partial row array that split the problem into two flow scales; device and channel. In the present work, three flow scales are proposed: device, sub-array and channel flow, allowing the mass, energy and momentum conservation balance to be assessed separately at each scale. The power potential of a row of sub-arrays with varying blockage ratios at each flow scale is investigated, and it is found that increasing device local blockage has the greatest potential to increase power yield. It is also found that, for such a single row tidal farm with a sufficient number of devices in a very wide channel, splitting the long fence array into multiple smaller co-linear sub-fences can increase the overall energy extraction potential. A new maximum power coefficient is found in infinitely wide flow, increasing from the Lanchester-Betz limit of 0.593 for turbines in unblocked flow, past the partial row array limit of 0.798, to a new limiting value of 0.865 for a row of multiple sub-arrays.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:renene:v:97:y:2016:i:c:p:284-292
    DOI: 10.1016/j.renene.2016.05.087
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    References listed on IDEAS

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    1. Malki, Rami & Masters, Ian & Williams, Alison J. & Nick Croft, T., 2014. "Planning tidal stream turbine array layouts using a coupled blade element momentum – computational fluid dynamics model," Renewable Energy, Elsevier, vol. 63(C), pages 46-54.
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    1. González-Gorbeña, Eduardo & Qassim, Raad Y. & Rosman, Paulo C.C., 2018. "Multi-dimensional optimisation of Tidal Energy Converters array layouts considering geometric, economic and environmental constraints," Renewable Energy, Elsevier, vol. 116(PA), pages 647-658.
    2. Gauvin-Tremblay, Olivier & Dumas, Guy, 2022. "Hydrokinetic turbine array analysis and optimization integrating blockage effects and turbine-wake interactions," Renewable Energy, Elsevier, vol. 181(C), pages 851-869.
    3. Almoghayer, Mohammed A. & Woolf, David K. & Kerr, Sandy & Davies, Gareth, 2022. "Integration of tidal energy into an island energy system – A case study of Orkney islands," Energy, Elsevier, vol. 242(C).
    4. Verbeek, M.C. & Talstra, H. & Labeur, R.J. & Uijttewaal, W.S.J., 2024. "Modelling and analysis of the horizontal configuration of tidal fences in barrages," Renewable Energy, Elsevier, vol. 222(C).

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