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A one-dimensional model for tidal array design based on three-scale dynamics

Published online by Cambridge University Press:  21 July 2017

Vikrant Gupta Open the ORCID record for Vikrant Gupta [Opens in a new window]  and
Anna M. Young
Vikrant Gupta*
Affiliation:
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen, 518055, China Whittle Laboratory, Department of Engineering, University of Cambridge, Cambridge, CB3 0DY, UK
Anna M. Young
Affiliation:
Whittle Laboratory, Department of Engineering, University of Cambridge, Cambridge, CB3 0DY, UK
*
†Email address for correspondence: [email protected]
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Abstract

In order to make the extraction of tidal current energy economically viable, the power production per turbine must be optimised in each tidal array. Furthermore, the impact of power extraction on the marine flow environment must be understood. These two aims mean that designers must be able to model different configurations of a tidal array in order to create the most efficient, least invasive arrangement. In this paper, an analytical model is developed for array design in idealised rectangular tidal channels with idealised turbines. The model includes the effects of (i) local blockage, (ii) surface deformation and (iii) added drag due to the installation of the array. While these effects have been accounted for individually in past work, the model presented here is the first to include all three such that the interaction between different effects can be understood. Results are presented for optimal local blockage and turbine resistance as functions of inherent channel drag coefficient, channel length and Froude number at various global blockage values. It will be shown that it is necessary to model the effects of local blockage and added drag simultaneously in order to obtain the design parameters of a tidal array (global blockage, local blockage and turbine resistance), which will maximise the power extraction per turbine. Neglecting either effect will lead to an array design with lower power extraction than the optimum, the addition of unnecessary extra turbines and higher lost power from the array.

JFM classification

Geophysical and Geological Flows: Coastal engineering Geophysical and Geological Flows: Geophysical and Geological Flows Waves/Free-surface Flows: Hydraulics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 825 , 25 August 2017 , pp. 651 - 676
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Copyright
© 2017 Cambridge University Press 

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