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Resonant behaviour of an oscillating wave energy converter in a channel

Published online by Cambridge University Press:  18 May 2012

Emiliano Renzi*
Affiliation:
UCD School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland
F. Dias
Affiliation:
UCD School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland Centre de Mathématiques et de Leurs Applications (CMLA), Ecole Normale Supérieure de Cachan, 94235 Cachan, France
*
Email address for correspondence: emiliano.renzi@ucd.ie

Abstract

A mathematical model is developed to study the behaviour of an oscillating wave energy converter in a channel. During recent laboratory tests in a wave tank, peaks in the hydrodynamic actions on the converter occurred at certain frequencies of the incident waves. This resonant mechanism is known to be generated by the transverse sloshing modes of the channel. Here the influence of the channel sloshing modes on the performance of the device is further investigated. Within the framework of a linear inviscid potential-flow theory, application of Green’s theorem yields a hypersingular integral equation for the velocity potential in the fluid domain. The solution is found in terms of a fast-converging series of Chebyshev polynomials of the second kind. The physical behaviour of the system is then analysed, showing sensitivity of the resonant sloshing modes to the geometry of the device, which concurs in increasing the maximum efficiency. Analytical results are validated with available numerical and experimental data.

Type
Papers
Copyright
Copyright © Cambridge University Press 2012

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