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A submerged cylinder wave energy converter

Published online by Cambridge University Press:  25 January 2013

S. Crowley*
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
R. Porter
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
D. V. Evans
Affiliation:
School of Mathematics, University of Bristol, Bristol BS8 1TW, UK
*
Email address for correspondence: sarah.crowley@bristol.ac.uk

Abstract

A novel design concept for a wave energy converter (WEC) is presented and analysed. Its purpose is to balance the theoretical capacity for power absorption against engineering design issues which plague many existing WEC concepts. The WEC comprises a fully submerged buoyant circular cylinder tethered to the sea bed by a simple mooring system which permits coupled surge and roll motions of the cylinder. Inside the cylinder a mechanical system of pendulums rotate with power generated by the relative rotation rates of the pendulums and the cylinder. The attractive features of this design include: making use of the mooring system as a passive component of the power take off (PTO); using a submerged device to protect it from excessive forces associated with extreme wave conditions; locating the PTO within the device and using a PTO mechanism which does not need to be constrained; exploiting multiple resonances of the system to provide a broad-banded response. A mathematical model is developed which couples the hydrodynamic waves forces on the device with the internal pendulums under a linearized framework. For a cylinder spanning a wave tank (equivalent to a two-dimensional assumption) maximum theoretical power for this WEC device is limited to 50 % maximum efficiency. However, numerical results show that a systematically optimized system can generate theoretical efficiencies of more than 45 % over a 6 s range of wave period containing most of the energy in a typical energy spectrum. Furthermore, three-dimensional results for a cylinder of finite length provide evidence that a cylinder device twice the length of its diameter can produce more than its own length in the power of an equivalent incident wave crest.

Type
Papers
Copyright
©2013 Cambridge University Press

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References

Babarit, A., Clement, A. H., Ruer, J. & Tartivel, C. 2006 SEAREV: a fully integrated wave energy converter. In Proceedings of the OWEMES.Google Scholar
Bretschneider, C. L. 1959 Wave variability and wave spectra for wind-generated gravity waves, U.S. Army Corps of Engineers, Beach Erosion Board, 118.Google Scholar
Chaplin, R. V. & Aggidis, G. A. 2007 An investigation into power from pitch–surge point-absorber wave energy converters. In International Conference on Clean Electrical Power, pp. 520525. IEEE.Google Scholar
Clare, R., Evans, D. V. & Shaw, T. L. 1982 Harnessing sea wave energy by a submerged cylinder device. ICE Proceedings 73, 565585.Google Scholar
Cruz, J. 2008 Ocean wave energy: current status and future perspectives. Green Energy and Technology , Springer.Google Scholar
Evans, D. V. 1976 A theory for wave-power absorption by oscillating bodies. J. Fluid Mech. 77 (1), 125.Google Scholar
Evans, D. V. 1980 Some analytic results for two and three-dimensional wave-energy absorbers. Power Sea Waves 213249.Google Scholar
Evans, D. V. 1981 Power from water waves. Annu. Rev. Fluid Mech. 13 (1), 157187.Google Scholar
Evans, D. V., Jeffrey, D. C., Salter, S. H. & Taylor, J. R. M. 1979 Submerged cylinder wave energy device: theory and experiment. Appl. Ocean Res. 1 (1), 312.Google Scholar
Evans, D. V. & Porter, R. 2007 Wave-free motions of isolated bodies and the existence of motion trapped modes. J. Fluid Mech. 584, 225234.Google Scholar
Evans, D. V. & Porter, R. 2012 Wave energy extraction by coupled resonant absorbers. Phil. Trans. R. Soc. A 370 (1959), 315344.Google Scholar
Falcão, A. F. O. 2010 Wave energy utilization: a review of the technologies. Renew. Sustainable Energy Rev. 14 (3), 899918.Google Scholar
Falnes, J. 2002 Ocean Waves and Oscillating Systems: Linear Interactions Including Wave-energy Extraction. Cambridge University Press.Google Scholar
Falnes, J. 2007 A review of wave-energy extraction. Mar. Struct. 20 (4), 185201.Google Scholar
Folley, M., Whittaker, T. & Vant Hoff, J. 2007 The design of small sea bed-mounted bottom-hinged wave energy converters. In Proceedings of the 5th European Wave and Tidal Energy Conference, Porto, Portugal.Google Scholar
Goldstein, H. 1974 Classical Mechanics. Addison-Wesley.Google Scholar
Kashiwagi, K., Nishimatsu, S. & Sakai, K. 2012 Wave-energy absorption efficiency by a rotating pendulum-type electric-power generator installed inside a floating body. In Proceedings of the 27th International Workshop on Water Waves and Floating Bodies, Copenhagen, Denmark.Google Scholar
Korde, U. A. 1990 Study of a wave energy device for possible application in communication and spacecraft propulsion. Ocean Engng 17 (6), 587599.Google Scholar
Linton, C. M. & McIver, P. 2001 Handbook of Mathematical Techniques for Wave/Structure Interactions. Chapman and Hall CRC.Google Scholar
Mei, C. C. 1976 Power extraction from water waves. J. Ship Res. 20, 6366.Google Scholar
Mei, C. C., Stiassnie, M. & Dick, K. P. Y. 1983 Theory and Applications of Ocean Surface Waves. World Scientific.Google Scholar
Newman, J. N. 1976 The interaction of stationary vessels with regular waves. In Proceedings 11th Symposium on Naval Hydrodynamics, pp. 491–501.Google Scholar
Newman, J. N. & Lee, C. H. 2012 WAMIT user manual. http://www.wamit.com.Google Scholar
Parks, P. C. 1980 Wedges, plates and waves – some simple mathematical models of wave power machines. In Power from Sea Waves (ed. Count, B.). pp. 257263. Academic.Google Scholar
Salter, S. H. 1974 Wave power. Nature 249 (5459), 720724.Google Scholar
Salter, S. H. 1982 The use of gyros as a reference frame in wave energy converters. In The 2nd International Symposium on Wave Energy Utilization.Google Scholar
Thomas, G. P. & Gallachóir, B. P. 1993 An assessment of design parameters for the bristol cylinder. In Proceedings of the First European Wave Energy Symposium, Edinburgh, Scotland, pp. 139–144.Google Scholar