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Design optimisation and resource assessment for tidal-stream renewable energy farms using a new continuous turbine approach

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  • Funke, S.W.
  • Kramer, S.C.
  • Piggott, M.D.

Abstract

This paper presents a new approach for optimising the design of tidal stream turbine farms. In this approach, the turbine farm is represented by a turbine density function that specifies the number of turbines per unit area and an associated continuous locally-enhanced bottom friction field. The farm design question is formulated as a mathematical optimisation problem constrained by the shallow water equations and solved with efficient, gradient-based optimisation methods. The resulting method is accurate, computationally efficient, allows complex installation constraints, and supports different goal quantities such as to maximise power or profit. The outputs of the optimisation are the optimal number of turbines, their location within the farm, the overall farm profit, the farm's power extraction, and the installation cost.

Suggested Citation

  • Funke, S.W. & Kramer, S.C. & Piggott, M.D., 2016. "Design optimisation and resource assessment for tidal-stream renewable energy farms using a new continuous turbine approach," Renewable Energy, Elsevier, vol. 99(C), pages 1046-1061.
    • Handle: RePEc:eee:renene:v:99:y:2016:i:c:p:1046-1061
    DOI: 10.1016/j.renene.2016.07.039
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Ramos, V. & Carballo, R. & Ringwood, John V., 2019. "Application of the actuator disc theory of Delft3D-FLOW to model far-field hydrodynamic impacts of tidal turbines," Renewable Energy, Elsevier, vol. 139(C), pages 1320-1335.
    2. Li, Gang & Zhu, Weidong, 2022. "Time-delay closed-loop control of an infinitely variable transmission system for tidal current energy converters," Renewable Energy, Elsevier, vol. 189(C), pages 1120-1132.
    3. du Feu, R.J. & Funke, S.W. & Kramer, S.C. & Hill, J. & Piggott, M.D., 2019. "The trade-off between tidal-turbine array yield and environmental impact: A habitat suitability modelling approach," Renewable Energy, Elsevier, vol. 143(C), pages 390-403.
    4. 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.
    5. du Feu, R.J. & Funke, S.W. & Kramer, S.C. & Culley, D.M. & Hill, J. & Halpern, B.S. & Piggott, M.D., 2017. "The trade-off between tidal-turbine array yield and impact on flow: A multi-objective optimisation problem," Renewable Energy, Elsevier, vol. 114(PB), pages 1247-1257.
    6. Fouz, D.M. & Carballo, R. & López, I. & González, X.P. & Iglesias, G., 2023. "A methodology for cost-effective analysis of hydrokinetic energy projects," Energy, Elsevier, vol. 282(C).
    7. Topper, Mathew B.R. & Olson, Sterling S. & Roberts, Jesse D., 2021. "On the benefits of negative hydrodynamic interactions in small tidal energy arrays," Applied Energy, Elsevier, vol. 297(C).
    8. Kathleen Mallard & Vincent Debusschere & Lauric Garbuio, 2020. "Multi-Criteria Method for Sustainable Design of Energy Conversion Systems," Sustainability, MDPI, vol. 12(16), pages 1-18, August.
    9. Aguayo, Maichel M. & Fierro, Pablo E. & De la Fuente, Rodrigo A. & Sepúlveda, Ignacio A. & Figueroa, Dante M., 2021. "A mixed-integer programming methodology to design tidal current farms integrating both cost and benefits: A case study in the Chacao Channel, Chile," Applied Energy, Elsevier, vol. 294(C).
    10. 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.
    11. Santhakumar, Srinivasan & Meerman, Hans & Faaij, André, 2024. "Future costs of key emerging offshore renewable energy technologies," Renewable Energy, Elsevier, vol. 222(C).
    12. Avdis, Alexandros & Candy, Adam S. & Hill, Jon & Kramer, Stephan C. & Piggott, Matthew D., 2018. "Efficient unstructured mesh generation for marine renewable energy applications," Renewable Energy, Elsevier, vol. 116(PA), pages 842-856.
    13. Zoe Goss & Daniel Coles & Matthew Piggott, 2021. "Economic analysis of tidal stream turbine arrays: a review," Papers 2105.04718, arXiv.org.
    14. Goss, Z.L. & Coles, D.S. & Kramer, S.C. & Piggott, M.D., 2021. "Efficient economic optimisation of large-scale tidal stream arrays," Applied Energy, Elsevier, vol. 295(C).
    15. Vennell, Ross & Major, Robert & Zyngfogel, Remy & Beamsley, Brett & Smeaton, Malcolm & Scheel, Max & Unwin, Heni, 2020. "Rapid initial assessment of the number of turbines required for large-scale power generation by tidal currents," Renewable Energy, Elsevier, vol. 162(C), pages 1890-1905.
    16. 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.

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