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Journal of Engineering Mathematics

, Volume 111, Issue 1, pp 165–189 | Cite as

Performance analysis of a water tank with oscillating walls for wave energy harvesting

  • Po-Hsun Chen
  • Tian-Shiang Yang
Article
  • 92 Downloads

Abstract

In this work we analyze the performance of a novel conceptual design for water-wave energy converters. The model system in question consists of a water tank with two hinged side walls that oscillate when the water surface within the tank is subjected to a temporally periodic, spatially distributed pressure variation. Then, through transmissions, the two oscillating walls are connected to electric generators. A linearized two-dimensional potential flow problem is formulated for this model system, and the steady periodic system response is solved for analytically. A comprehensive parameter study then is carried out so as to clarify how the system’s performance is affected by its design and operation parameters. It is found that, in addition to a series of resonant forcing frequencies that produce large electric power output, there also exist certain anti-resonant forcing frequencies that generate zero power. Moreover, with optimally tuned parameters, the maximized electric power output of the model system studied in this work is comparable with, and even higher than, that of preexisting systems of similar nominal size.

Keywords

Anti-resonance Linear water waves Performance analysis Power take-off unit Resonance Wave energy converter 

Notes

Acknowledgements

The authors gratefully acknowledge the Taiwan Ministry of Science and Technology for supporting this work through Grant MOST103-2221-E-006-096-MY3. They would also like to thank Professors Kuo-Shen Chen, Ching-Jenq Ho, Tz-Cheng Chiu and Chang-Da Wen of NCKU for a number of fruitful discussions on this work and other related topics.

References

  1. 1.
    Clément A, McCullen P, Falcão A, Fiorentino A, Gardner F, Hammarlund K, Lemonis G, Lewis T, Nielsen K, Petroncini S, Pontes M-T, Schild P, Sjöström B-O, Sørensen HC, Thorpe T (2002) Wave energy in Europe: current status and perspectives. Renew Sustain Energy Rev 6:405–431CrossRefGoogle Scholar
  2. 2.
    Dent CM (2013) Wind energy development in East Asia and Europe. Asia Eur J 11:211–230CrossRefGoogle Scholar
  3. 3.
    Thorpe TW (2000) The wave energy programme in the UK and the European wave energy network. In: Proceedings of the 4th European wave energy conference, Aalborg, Denmark, pp 19–27Google Scholar
  4. 4.
    de Falcão AFO (2010) Wave energy utilization: a review of the technologies. Renew Sustain Energy Rev 14:899–918CrossRefGoogle Scholar
  5. 5.
    Heath TV (2012) A review of oscillating water columns. Philos Trans R Soc A 370:235–245CrossRefGoogle Scholar
  6. 6.
    Folley M, Curran R, Whittaker T (2006) Comparison of LIMPET contra-rotating wells turbine with theoretical and model test predictions. Ocean Eng 33:1056–1069CrossRefGoogle Scholar
  7. 7.
    Torre-Enciso Y, Ortubia I, López de Aguileta LI, Marqués J (2009) Mutriku wave power plant: from the thinking out to the reality. In: Proceedings of the 8th European wave and tidal energy conference, Uppsala, Sweden, pp 319–329Google Scholar
  8. 8.
    Count BM, Evans DV (1984) The influence of projecting sidewalls on the hydrodynamic performance of wave-energy devices. J Fluid Mech 145:361–376CrossRefzbMATHGoogle Scholar
  9. 9.
    Chen Z, Yu H, Hu M, Meng G, Wen C (2013) A review of offshore wave energy extraction system. Adv Mech Eng 5:623020CrossRefGoogle Scholar
  10. 10.
    Falnes J (1999) Wave-energy conversion through relative motion between two single-mode oscillating bodies. ASME J Offshore Mech Arct Eng 121:32–38CrossRefGoogle Scholar
  11. 11.
    Yemm R, Pizer D, Retzler C, Henderson R (2012) Pelamis: experience from concept to connection. Philos Trans R Soc A 370:365–380CrossRefGoogle Scholar
  12. 12.
    He H, Qu Q, Li J (2013) Numerical simulation of section systems in the Pelamis wave energy converter. Adv Mech Eng 5:186056CrossRefGoogle Scholar
  13. 13.
    Hazra S, Bhattacharya S, Uppalapati KK, Bird J (2012) Ocean energy power take-off using oscillating paddle. In: Proceedings of the 2012 IEEE energy conversion congress and exposition, Raleigh, NC, pp 407–413Google Scholar
  14. 14.
    Gu Y, Zhao L, Huang J, Wang B (2012) The principle, review and prospect of wave energy converter. Adv Mater Res 347–353:3744–3749Google Scholar
  15. 15.
    Hald T, Friis-Madsen E, Kofoed JP (2002) Hydraulic behaviour of the floating wave energy converter wave dragon. In: Proceedings of the 10th Congress of International Maritime Association of the Mediterranean (IMAM 2002), Crete, Greece, paper no. 103Google Scholar
  16. 16.
    Kofoed JP, Frigaard P, Friis-Madsen E, Sørensen HC (2006) Prototype testing of the wave energy converter wave dragon. Renew Energy 31:181–189CrossRefGoogle Scholar
  17. 17.
    Malara G, Arena F (2013) Analytical modelling of an U-oscillating water column and performance in random waves. Renew Energy 60:116–126CrossRefGoogle Scholar
  18. 18.
    Rezanejad K, Bhattacharjee J, Soares CG (2013) Stepped sea bottom effects on the efficiency of nearshore oscillating water column device. Ocean Eng 70:25–38CrossRefGoogle Scholar
  19. 19.
    Teixeira PRF, Davyt DP, Didier E, Ramalhais R (2013) Numerical simulation of an oscillating water column device using a code based on Navier-Stokes equations. Energy 61:513–530CrossRefGoogle Scholar
  20. 20.
    Ketabdari MJ, Khorasani F, Boreyri S, Karami V (2014) Numerical performance analysis of oscillating water column device using sea waves. Int J Environ Stud 71:840–849Google Scholar
  21. 21.
    Rezanejad K, Bhattacharjee J, Soares CG (2015) Analytical and numerical study of dual-chamber oscillating water columns on stepped bottom. Renew Energy 75:272–282CrossRefGoogle Scholar
  22. 22.
    Havelock TH (1929) Forced surface-waves on water. Phil Mag 8:569–576CrossRefzbMATHGoogle Scholar
  23. 23.
    Hyun JM (1976) Theory for hinged wavemakers of finite draft in water of constant depth. J Hydronaut 10:2–7CrossRefGoogle Scholar
  24. 24.
    Hyun JM (1976) Simplified analysis of a plunger-type wavemaker performance. J Hydronaut 10:89–94CrossRefGoogle Scholar
  25. 25.
    Wu YC (1991) Waves generated by a plunger-type wavemaker. J Hydraul Res 29:851–860CrossRefGoogle Scholar
  26. 26.
    The Queen’s University of Belfast (2002) Islay LIMPET wave power plant. Report of a research funded in part by the European Commission in the framework of the Non Nuclear Energy Program Joule III. http://cordis.europa.eu/documents/documentlibrary/66628981EN6.pdf. Accessed 22 Apr 2015
  27. 27.

Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Cheng Kung UniversityTainanTaiwan

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