Model-prototype similarity of oscillating-water-column wave energy converters

Abstract Model testing in wave tanks or under sheltered sea conditions is an essential step in the development of wave energy converters. The paper focuses on the rules for geometric, hydrodynamic, thermodynamic and aerodynamic similarity in model testing of wave energy converters of oscillating-water-column (OWC) type, with emphasis on air compressibility effects in the air chamber and on air turbine aerodynamics. It is shown that the correct volume scale ratio for the air chamber is far from identical to the volume scale ratio for the submerged part of the converter, and should take into account the thermodynamics of the compressible flow through the air turbine or through the turbine simulator (orifice or other). For those cases when the model is large enough to be fitted with a scaled air turbine, dimensional analysis is applied to obtain ratios for turbine size and rotational speed, and also to establish relationships between rotational speed control algorithms. A numerical example is presented to illustrate the importance of appropriately simulating the air compressibility effects when testing at model scale.

[1]  António Sarmento,et al.  Wave generation by an oscillating surface-pressure and its application in wave-energy extraction , 1985, Journal of Fluid Mechanics.

[2]  S. L. Dixon,et al.  Fluid mechanics, thermodynamics of turbomachinery , 1966 .

[3]  Alain H. Clément,et al.  Numerical modelling of OWC-shoreline devices including the effect of surrounding coastline and non-flat bottom , 2001 .

[4]  Seok Won Hong,et al.  Experimental Study of a Compliant Mooring System For a Floating OWC Device , 2004 .

[5]  Ali Sayigh,et al.  Comprehensive Renewable Energy , 2012 .

[6]  J. Falnes Ocean Waves and Oscillating Systems , 2002 .

[7]  Leo H. Holthuijsen,et al.  Waves in Oceanic and Coastal Waters , 2007 .

[8]  T. Heath,et al.  A review of oscillating water columns , 2012, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[9]  Paulo Alexandre Justino,et al.  OWC wave energy devices with air flow control , 1999 .

[10]  Trevor Whittaker,et al.  Latching Control of an Oscillating Water Column Device with Air Compressibility , 1986 .

[11]  Nuno Fonseca,et al.  Mooring system influence on the efficiency of wave energy converters , 2013 .

[12]  A. Falcão Control of an oscillating-water-column wave power plant for maximum energy production , 2002 .

[13]  Ralf Starzmann,et al.  Model-based selection of full-scale Wells turbines for ocean wave energy conversion and prediction of their aerodynamic and acoustic performances , 2014 .

[14]  David Japikse,et al.  Introduction to Turbomachinery , 1994 .

[15]  M. Lighthill,et al.  Waves In Fluids , 2002 .

[16]  V. Heller,et al.  8.04 – Development of Wave Devices from Initial Conception to Commercial Demonstration , 2012 .

[17]  H. Langhaar Dimensional analysis and theory of models , 1951 .

[18]  A. F. de O. Falcão,et al.  Stochastic modelling of OWC wave power plant performance , 2002 .

[19]  M. Mccormick Ocean Wave-Energy Conversion , 2019, Encyclopedia of Ocean Sciences.

[20]  R.P.F. Gomes,et al.  Air turbine choice and optimization for floating oscillating-water-column wave energy converter , 2014 .

[21]  S. Korpela Principles of Turbomachinery , 2011 .

[22]  R.P.F. Gomes,et al.  Latching Control of a Floating Oscillating Water Column Wave Energy Converter in Irregular Waves , 2014 .

[23]  António F.O. Falcão,et al.  Wave energy utilization: A review of the technologies , 2010 .

[24]  Alexander D. Poularikas,et al.  Signals and systems (second ed.) , 1991 .

[25]  G. T. Csanady,et al.  Theory of turbomachines , 1964 .

[26]  Steven A Hughes,et al.  PHYSICAL MODELS AND LABORATORY TECHNIQUES IN COASTAL ENGINEERING , 1993 .