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Energy balance analysis method in oscillating type wave converter

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Based on an efficient potential flow wave model to simulate the oscillating water column (OWC) wave fields, this research further develops the solutions using higher index terms in the wave potential. This effort together with a linear damping correction significantly improves the free surface elevation correlation between the potential model predictions and the model test measurements. In addition, a method to establish conservation of energy within the incident, diffracted, and radiated wave energy flux is introduced. The method uses the gradient of wave phase to efficiently determine the propagating direction of a small element of wave in the wave field. By integrating over the control boundary, this research provides the energy balance for diffraction-only case and diffraction-radiation combined case. Discussions about the influence of different parameters on the energy extraction from the wave field demonstrate the effective application of the method in optimizing wave energy converters utilizing oscillations induced by 3-D wave field.

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  • Baudry V, Babarit A, Clement A (2013) An overview of analytical, numerical and experimental methods for modeling oscillating water columns. In: EWTEC, 2013

  • Chakrabarti K (1987) Hydrodynamics of offshore structures. WIT Press, Southampton

    Google Scholar 

  • Cui Y, Hyun S (2016) Numerical study on wells turbine with penetrating blade tip treatments for wave energy conversion. Int J Naval Arch and Ocean Eng 8:456–465

    Google Scholar 

  • Dean R, Dalrymple R (1984) Water wave mechanics for engineers and scientists. World Scientific Publishing, Singapore

    Google Scholar 

  • Elhanafi A, Fleming A, Macfarlane G, Leong Z (2016) Numerical energy balance analysis for an onshore oscillating water column wave energy converter. Energy 116:539–557

  • Evans D (1982) Wave-power absorption by systems of oscillating surface pressure distributions. J Fluid Mech 114:481–499

    Article  MathSciNet  MATH  Google Scholar 

  • Evans D, Porter R (1997) Efficient calculation of hydrodynamic properties of OWC-type devices. J Offshore Mech Arct Eng 119:210–218

    Article  Google Scholar 

  • Falnes J (2002) Ocean waves and oscillating systems. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Falnes J, McIver P (1985) Surface wave interactions with systems of oscillating bodies and pressure distributions. Appl Ocean Res 7:225–234

    Article  Google Scholar 

  • Falzarano J, Gao Z, Landet E, Boulluec M, Rim C, Sirkar J, Sun L, Suzuki H, Thiry A, Trarieux F, Wang c (2012) Offshore renewable energy. In: Proceedings of 18th international ship and offshore structures congress, Rostock, Germany, vol 2, pp 153–200

  • Fleming A, Penesis I, Macfarlane G, Bose N, Denniss T (2012) Energy balance analysis for an oscillating water column wave energy converter. Ocean Eng 54:26–33

  • Garrett R (1970) Bottomless harbors. J Fluid Mech 43:433–449

    Article  MATH  Google Scholar 

  • Garriga O, Falzarano J (2008) Water wave interaction on a truncated vertical cylinder. J Offshore Mech Arct Eng 130(3):1–8

    Article  Google Scholar 

  • Guha A (2016) Development and application of a potential flow computer program: determining first and second order wave forces at zero and forward speed in deep and intermediate water depth. PhD Thesis, Texas A&M University

  • Jacobson P (2011) Mapping and assessment of the United States ocean wave energy resource. Accessed 10 Oct 2016

  • Koo W, Kim M (2010) Nonlinear time-domain simulation of a land-based oscillating water column. J Waterw Port Coast Ocean Eng 136(5):276–285

    Article  MathSciNet  Google Scholar 

  • Li Y, Yu Y (2012) Synthesis of numerical methods for modeling wave energy converter-point absorbers. doi:10.1016/j.rser.2011.11.008 (Preprint)

  • Linton M, McIver P (2001) Handbook of mathematical techniques for wave? Structure interactions. CRC, Boca Raton

    Book  MATH  Google Scholar 

  • Liu Y, Falzarano J (2017) Irregular frequency removal methods: theory and applications in hydrodynamics. Mar Syst Ocean Techno 12(2):49–64

  • Liu Y, Falzarano J (2017) A method to remove irregular frequencies and log singularity evaluation in wave-body interaction problems. J Ocean Eng Mar Energy 3(2):161–189

    Article  Google Scholar 

  • Malmo O, Reitan A (1985) Wave-power absorption by an oscillating water column in a channel. J Fluid Mech 158:153–175

    Article  MATH  Google Scholar 

  • Margheritini L, Vicinanza D, Frigaard P (2009) SSG wave energy converter: design, reliability and hydraulic performance of an innovative overtopping device. Renew Energy 34(5):1371–1380

    Article  Google Scholar 

  • Mei C (1989) The applied dynamics of ocean surface waves. World Scientific Publishing, Singapore

    MATH  Google Scholar 

  • Newman J (1979) The interaction of stationary vessels with regular waves. In: Proceedings of 11th symposium on naval hydrodynamics, London, UK, pp 491–501

  • Okuhara S, Takao M, Takami A, Setoguchi T (2013) Wells turbine for wave energy conversion improvement of the performance by means of impulse turbine for bi-directional flow. Open J of Fluid Dyn 3:36–41

  • Somayajula A, Falzarano J (2015) Large-amplitude time-domain simulation tool for marine and offshore motion prediction. Mar Syst Ocean Technol 10(1):1–17

    Google Scholar 

  • Tom N, Lawson M, Yu Y, Wright A (2016) Development of a nearshore oscillating surge wave energy converter with variable geometry. Renew Energy 96:410–424

    Article  Google Scholar 

  • Wang H (2013) Wave energy extraction from an oscillating water column in a truncated circular cylinder. Master Thesis, Texas A&M University

  • Wang H, Falzarano J (2013) Energy extraction from the motion of an oscillating water column. Ocean Syst Eng 4:327–348

    Article  Google Scholar 

  • Wang H, Sitanggang K, Falzarano J (2017) Exploration of power take off in wave energy converters with two-body interaction. Ocean Syst Eng 1–16

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The authors would like to acknowledge the Marine Dynamics Laboratory at Texas A&M University: Dr. Somayajula, Dr. Guha, Mr. Liu, and Mr. Zhi for their inspirations to this research. Prof. Evans and Dr. Porter from the University of Bristol have done excellent work in solving the potential flow model used in the paper and Mr. Garriga has provided important experimental data, which both give us great support in this work.

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Correspondence to Hao Wang.

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Wang, H., Falzarano, J. Energy balance analysis method in oscillating type wave converter. J. Ocean Eng. Mar. Energy 3, 193–208 (2017).

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