IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v116y2018ipap647-658.html
   My bibliography  Save this article

Multi-dimensional optimisation of Tidal Energy Converters array layouts considering geometric, economic and environmental constraints

Author

Listed:
  • González-Gorbeña, Eduardo
  • Qassim, Raad Y.
  • Rosman, Paulo C.C.

Abstract

A study for the optimisation of in-stream tidal energy converter array layout for a three-dimensional fluid flow field is presented. The study involves design of experiments, computational fluid dynamics simulations, surrogate model construction, and constrained optimisation. Linear Radial Basis Functions (RBF) are used to build surrogate models as a function of four design variables: streamwise, spanwise, vertical and staggered spacings, with the purpose of approximating the capacity factor of an array with a fixed number of Tidal Energy Converters (TECs). Effects of arrays on maximum and minimum stream velocities at specific locations are also assessed. A constrained optimisation mathematical model is formulated considering geometric, economic and environmental aspects. Results are presented in terms of economic revenue for each optimisation model. The method proves to be very time efficient in the evaluation of numerous tidal energy convert array layouts with a view to satisfying optimality criteria.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:renene:v:116:y:2018:i:pa:p:647-658
    DOI: 10.1016/j.renene.2017.10.009
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148117309709
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.renene.2017.10.009?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. 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.
    2. Edmunds, M. & Williams, A.J. & Masters, I. & Croft, T.N., 2017. "An enhanced disk averaged CFD model for the simulation of horizontal axis tidal turbines," Renewable Energy, Elsevier, vol. 101(C), pages 67-81.
    3. Husslage, B.G.M. & Rennen, G. & van Dam, E.R. & den Hertog, D., 2011. "Space-filling Latin hypercube designs for computer experiments," Other publications TiSEM 694f73df-a373-46a7-aa4d-1, Tilburg University, School of Economics and Management.
    4. Funke, S.W. & Farrell, P.E. & Piggott, M.D., 2014. "Tidal turbine array optimisation using the adjoint approach," Renewable Energy, Elsevier, vol. 63(C), pages 658-673.
    5. Robins, Peter E. & Neill, Simon P. & Lewis, Matt J., 2014. "Impact of tidal-stream arrays in relation to the natural variability of sedimentary processes," Renewable Energy, Elsevier, vol. 72(C), pages 311-321.
    6. 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.
    7. Neill, Simon P. & Litt, Emmer J. & Couch, Scott J. & Davies, Alan G., 2009. "The impact of tidal stream turbines on large-scale sediment dynamics," Renewable Energy, Elsevier, vol. 34(12), pages 2803-2812.
    8. 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.
    9. Pacheco, A. & Ferreira, Ó., 2016. "Hydrodynamic changes imposed by tidal energy converters on extracting energy on a real case scenario," Applied Energy, Elsevier, vol. 180(C), pages 369-385.
    10. Vennell, Ross, 2012. "Realizing the potential of tidal currents and the efficiency of turbine farms in a channel," Renewable Energy, Elsevier, vol. 47(C), pages 95-102.
    11. Garrett, Chris & Cummins, Patrick, 2008. "Limits to tidal current power," Renewable Energy, Elsevier, vol. 33(11), pages 2485-2490.
    12. 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.
    13. Vennell, Ross, 2013. "Exceeding the Betz limit with tidal turbines," Renewable Energy, Elsevier, vol. 55(C), pages 277-285.
    14. Mycek, Paul & Gaurier, Benoît & Germain, Grégory & Pinon, Grégory & Rivoalen, Elie, 2014. "Experimental study of the turbulence intensity effects on marine current turbines behaviour. Part II: Two interacting turbines," Renewable Energy, Elsevier, vol. 68(C), pages 876-892.
    15. Mycek, Paul & Gaurier, Benoît & Germain, Grégory & Pinon, Grégory & Rivoalen, Elie, 2014. "Experimental study of the turbulence intensity effects on marine current turbines behaviour. Part I: One single turbine," Renewable Energy, Elsevier, vol. 66(C), pages 729-746.
    16. Sánchez, M. & Carballo, R. & Ramos, V. & Iglesias, G., 2014. "Energy production from tidal currents in an estuary: A comparative study of floating and bottom-fixed turbines," Energy, Elsevier, vol. 77(C), pages 802-811.
    17. Divett, Tim & Vennell, Ross & Stevens, Craig, 2016. "Channel-scale optimisation and tuning of large tidal turbine arrays using LES with adaptive mesh," Renewable Energy, Elsevier, vol. 86(C), pages 1394-1405.
    18. Culley, D.M. & Funke, S.W. & Kramer, S.C. & Piggott, M.D., 2016. "Integration of cost modelling within the micro-siting design optimisation of tidal turbine arrays," Renewable Energy, Elsevier, vol. 85(C), pages 215-227.
    19. Riley, Paul H., 2014. "Affordability for sustainable energy development products," Applied Energy, Elsevier, vol. 132(C), pages 308-316.
    20. Stansby, Peter & Stallard, Tim, 2016. "Fast optimisation of tidal stream turbine positions for power generation in small arrays with low blockage based on superposition of self-similar far-wake velocity deficit profiles," Renewable Energy, Elsevier, vol. 92(C), pages 366-375.
    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. 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).
    2. Nachtane, M. & Tarfaoui, M. & Goda, I. & Rouway, M., 2020. "A review on the technologies, design considerations and numerical models of tidal current turbines," Renewable Energy, Elsevier, vol. 157(C), pages 1274-1288.
    3. 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.
    4. 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).
    5. Edmunds, Matt & Williams, Alison J. & Masters, Ian & Banerjee, Arindam & VanZwieten, James H., 2020. "A spatially nonlinear generalised actuator disk model for the simulation of horizontal axis wind and tidal turbines," Energy, Elsevier, vol. 194(C).
    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.

    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. Lo Brutto, Ottavio A. & Thiébot, Jérôme & Guillou, Sylvain S. & Gualous, Hamid, 2016. "A semi-analytic method to optimize tidal farm layouts – Application to the Alderney Race (Raz Blanchard), France," Applied Energy, Elsevier, vol. 183(C), pages 1168-1180.
    2. 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).
    3. 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.
    4. 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.
    5. Yang, Zhixue & Ren, Zhouyang & Li, Hui & Pan, Zhen & Xia, Weiyi, 2024. "A review of tidal current power generation farm planning: Methodologies, characteristics and challenges," Renewable Energy, Elsevier, vol. 220(C).
    6. 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.
    7. Edmunds, Matt & Williams, Alison J. & Masters, Ian & Banerjee, Arindam & VanZwieten, James H., 2020. "A spatially nonlinear generalised actuator disk model for the simulation of horizontal axis wind and tidal turbines," Energy, Elsevier, vol. 194(C).
    8. 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.
    9. Chen, Yaling & Lin, Binliang & Lin, Jie & Wang, Shujie, 2017. "Experimental study of wake structure behind a horizontal axis tidal stream turbine," Applied Energy, Elsevier, vol. 196(C), pages 82-96.
    10. 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.
    11. Laws, Nicholas D. & Epps, Brenden P., 2016. "Hydrokinetic energy conversion: Technology, research, and outlook," Renewable and Sustainable Energy Reviews, Elsevier, vol. 57(C), pages 1245-1259.
    12. Lo Brutto, Ottavio A. & Guillou, Sylvain S. & Thiébot, Jérôme & Gualous, Hamid, 2017. "Assessing the effectiveness of a global optimum strategy within a tidal farm for power maximization," Applied Energy, Elsevier, vol. 204(C), pages 653-666.
    13. 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).
    14. Fairley, I. & Masters, I. & Karunarathna, H., 2015. "The cumulative impact of tidal stream turbine arrays on sediment transport in the Pentland Firth," Renewable Energy, Elsevier, vol. 80(C), pages 755-769.
    15. 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.
    16. Ian Masters & Alison Williams & T. Nick Croft & Michael Togneri & Matt Edmunds & Enayatollah Zangiabadi & Iain Fairley & Harshinie Karunarathna, 2015. "A Comparison of Numerical Modelling Techniques for Tidal Stream Turbine Analysis," Energies, MDPI, vol. 8(8), pages 1-21, July.
    17. 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).
    18. Anas Rahman & Vengatesan Venugopal & Jerome Thiebot, 2018. "On the Accuracy of Three-Dimensional Actuator Disc Approach in Modelling a Large-Scale Tidal Turbine in a Simple Channel," Energies, MDPI, vol. 11(8), pages 1-21, August.
    19. Chen, Yaling & Lin, Binliang & Sun, Jian & Guo, Jinxi & Wu, Wenlong, 2019. "Hydrodynamic effects of the ratio of rotor diameter to water depth: An experimental study," Renewable Energy, Elsevier, vol. 136(C), pages 331-341.
    20. Lo Brutto, Ottavio A. & Nguyen, Van Thinh & Guillou, Sylvain S. & Thiébot, Jérôme & Gualous, Hamid, 2016. "Tidal farm analysis using an analytical model for the flow velocity prediction in the wake of a tidal turbine with small diameter to depth ratio," Renewable Energy, Elsevier, vol. 99(C), pages 347-359.

    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:116:y:2018:i:pa:p:647-658. 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.