Log in

Power Absorption of A Two-Body Heaving Wave Energy Converter Considering Different Control and Power Take-off Systems

  • Published:
China Ocean Engineering Aims and scope Submit manuscript

Abstract

This study proposed a wave power system with two coaxial floating cylinders of different diameters and drafts. Wavebob’s conceptual design has been adopted in the wave power system. In this study, a basic analysis of the wave energy extraction by the relative motion between two floats is presented. The maximum power absorption was studied theoretically under regular wave conditions, and the effects of both linear and constant dam** forces on the power take-off (PTO) were investigated. A set of dynamic equations describing the floats’ displacement under regular waves and different PTOs are established. A time-domain numerical model is developed, considering the PTO parameter and viscous dam**, and the optimal PTO dam** and output power are obtained. With the analysis of estimating the maximum power absorption, a new estimation method called Power Capture Function (PCF) is proposed and constructed, which can be used to predict the power capture under both linear and constant PTO forces. Based on this, energy extraction is analyzed and optimized. Finally, the performance characteristics of the two-body power system are concluded.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Al Shami, E., Wang, X. and Ji, X.Y., 2019. A study of the effects of increasing the degrees of freedom of a point-absorber wave energy converter on its harvesting performance, Mechanical Systems and Signal Processing, 133, 106281.

    Article  Google Scholar 

  • Amann, K.U., Magaña, M.E. and Sawodny, O., 2015. Model predictive control of a nonlinear 2-body point absorber wave energy converter with estimated state feedback, IEEE Transactions on Sustainable Energy, 6(2), 336–345.

    Article  Google Scholar 

  • Beatty, S.J., Bocking, B., Bubbar, K., Buckham, B.J. and Wild, P., 2019. Experimental and numerical comparisons of self-reacting point absorber wave energy converters in irregular waves, Ocean Engineering, 173, 716–731.

    Article  Google Scholar 

  • Berenjkoob, M.N., Ghiasi, M. and Soares, C.G., 2019a. On the improved design of the buoy geometry on a two-body wave energy converter model, Journal of Renewable and Sustainable Energy, 11(5), 054702.

    Article  Google Scholar 

  • Berenjkoob, M.N., Ghiasi, M. and Soares, C.G., 2019b. Performance of two types of mooring systems in the heave motion of a two-body floating wave energy converter, Journal of Marine Science and Application, 18(1), 38–47.

    Article  Google Scholar 

  • Blanco, M., Lafoz, M., Ramirez, D., Navarro, G., Torres, J. and Garcia-Tabares L., 2019. Dimensioning of point absorbers for wave energy conversion by means of differential evolutionary algorithms, IEEE Transactions on Sustainable Energy, 10(3), 1076–1085.

    Article  Google Scholar 

  • Castro, F.A. and Chiang, L.E., 2020. Design optimization and experimental validation of a two-body wave energy converter with adjustable power take-off parameters, Energy for Sustainable Development, 56, 19–32.

    Article  Google Scholar 

  • Chau, F.P. and Yeung, R.W., 2012. Inertia, dam**, and wave excitation of heaving coaxial cylinders, Proceedings of the ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering, ASME, Rio de Janeiro, Brazil, pp. 803–813.

    Google Scholar 

  • Chen, H., Qian, L., Ma, Z.H., Bai, W., Li, Y., Causon, D. and Mingham, C., 2019. Application of an overset mesh based numerical wave tank for modelling realistic free-surface hydrodynamic problems, Ocean Engineering, 176, 97–117.

    Article  Google Scholar 

  • Dai, Y.M., Chen, Y.Z. and **e, L.H., 2017. A study on a novel two-body floating wave energy converter, Ocean Engineering, 130, 407–416.

    Article  Google Scholar 

  • Dong, X.C., Gao, Z., Li, D.M. and Shi, H.D., 2021. Experimental and numerical study of a two-body heaving wave energy converter with different power take-off models, Ocean Engineering, 220, 108454.

    Article  Google Scholar 

  • Elwood, D., Yim, S.C., Prudell, J., Stillinger, C., Von Jouanne, A., Brekken, T., Brown, A. and Paasch, R., 2010. Design, construction, and ocean testing of a taut-moored dual-body wave energy converter with a linear generator power take-off, Renewable Energy, 35(2), 348–354.

    Article  Google Scholar 

  • Huang, L., Hu, B.B., Hu, M.Q., Liu, C.Y. and Zhu, H., 2019. Research on primary excitation fully superconducting linear generators for wave energy conversion, IEEE Transactions on Applied Superconductivity, 29(5), 1–5.

    Google Scholar 

  • Ji, R.W., Sheng, Q.H., Wang, S.Q., Zhang, Y.Q., Zhang, X.W. and Zhang, L., 2019. Array characteristics of oscillating-buoy two-floating-body wave-energy converter, Journal of Marine Science and Application, 18(3), 325–333.

    Article  Google Scholar 

  • Ji, X.Y., Shami, E.A., Monty, J. and Wang, X., 2020. Modelling of linear and non-linear two-body wave energy converters under regular and irregular wave conditions, Renewable Energy, 147, 487–501.

    Article  Google Scholar 

  • **, P., Zhou, B.Z., Göteman, M., Chen, Z.F. and Zhang, L., 2019. Performance optimization of a coaxial-cylinder wave energy converter, Energy, 174, 450–459.

    Article  Google Scholar 

  • Kalidoss, S. and Banerjee, A., 2019. Performance evaluation of floating two-body wave energy converter with hydraulic power take-off system, Proceedings of the Fourth International Conference in Ocean Engineering (ICOE2018), Springer, Singapore, 883–897.

    Chapter  Google Scholar 

  • Kurniawan, A., Grassow, M. and Ferri, F., 2019. Numerical modelling and wave tank testing of a self-reacting two-body wave energy device, Ships and Offshore Structures, 14(S1), 344–356.

    Article  Google Scholar 

  • Lewis, T.M., Von Jouanne, A. and Brekken, T.K.A., 2012. Modeling and control of a slack-moored two-body wave energy converter with finite element analysis, 2012 IEEE Energy Conversion Congress and Exposition (ECCE), IEEE, Raleigh, NC, USA, 938–945.

    Chapter  Google Scholar 

  • Liang, C.W. and Zuo, L., 2017. On the dynamics and design of a two-body wave energy converter, Renewable Energy, 101, 265–274.

    Article  Google Scholar 

  • Mavrakos, S.A., 2004. Hydrodynamic coefficients in heave of two concentric surface-piercing truncated circular cylinders, Applied Ocean Research, 26(3–4), 84–97.

    Article  Google Scholar 

  • Negahdari, M., Dalayeli, H. and Moghadas, M.H., 2018. Design of a two-body wave energy converter by incorporating the effect of hydraulic power take-off parameters, Journal of Marine Science and Technology, 26(4), 496–507.

    Google Scholar 

  • Phung, V.N., Nguyen, T.M., Dang, T.B. and Phan, D.T., 2019. Numerical simulation of a wave energy converter using linear generator, Proceedings of the 1st Vietnam Symposium on Advances in Offshore Engineering, Springer, Singapore, 18, 319–326.

  • Son, D. and Yeung, R.W., 2014. Performance predictions and validation of a two coaxial-cylinder system as a wave-energy extractor, Proceedings of the ASME 2014 33rd International Conference on Ocean, Offshore and Arctic Engineering, ASME, San Francisco, USA, 1–10.

    Google Scholar 

  • Son, D., Belissen, V. and Yeung, R.W., 2016. Performance validation and optimization of a dual coaxial-cylinder ocean-wave energy extractor, Renewable Energy, 92, 192–201.

    Article  Google Scholar 

  • Tan, Y.M., Liu, N., Lin, K.J. and Zhang, Z.G., 2020. Frequency domain modeling of a halbach pm linear generator based two-body point absorber for wave energy conversion, Frontiers in Energy Research, 8, 19.

    Article  Google Scholar 

  • Tom, N. and Yeung, R.W., 2013. Performance enhancements and validations of a generic ocean-wave energy extractor, Journal of Offshore Mechanics and Arctic Engineering, 135(4), 041101.

    Article  Google Scholar 

  • Wang, L., Son, D. and Yeung, R.W., 2016. On the performance of a dual-cylinder wave-energy converter: single versus two degrees of freedom, Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering, ASME, Busan, South Korea, 1–9.

    Google Scholar 

  • Wang, L.G. and Isberg, J., 2015. Nonlinear passive control of a wave energy converter subject to constraints in irregular waves, Energies, 8(7), 6528–6542.

    Article  Google Scholar 

  • Xu, Q.L., Li, Y., Yu, Y.H., Ding, B.Y., Jiang, Z.Y., Lin, Z.L. and Cazzolato, B., 2019. Experimental and numerical investigations of a two-body floating-point absorber wave energy converter in regular waves, Journal of Fluids and Structures, 91, 102613.

    Article  Google Scholar 

  • Yang, S.H., Ringsberg, J.W., Johnson, E., Hu, Z.Q., Bergdahl, L. and Duan, F., 2018. Experimental and numerical investigation of a tautmoored wave energy converter: a validation of simulated buoy motions, Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment, 232(1), 97–115.

    Google Scholar 

  • Yu, Y.H. and Li, Y., 2013. Reynolds-averaged navier-stokes simulation of the heave performance of a two-body floating-point absorber wave energy system, Computers & Fluids, 73, 104–114.

    Article  Google Scholar 

  • Zhang, L., **, P., Zhou, B.Z., Zheng, X.B. and Liu, H.X., 2019. Oscillation and conversion performance of double-float wave energy converter, Journal of Marine Science and Application, 18(1), 54–63.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hong-da Shi.

Additional information

Foundation item

This work was financially supported by the National Key R&D Program of China (Grant No. 2018YFB1501904), the Shandong Provincial Key R&D Program (Grant No. 2019JZZY010902), the National Natural Science Foundation of China (Grant No. 52071303), the Joint Project of NSFC-SD (Grant No. U1906228), and the Taishan Scholars Program of Shandong Province (Grant No. ts20190914).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dong, Xc., Gao, Z., Li, Dm. et al. Power Absorption of A Two-Body Heaving Wave Energy Converter Considering Different Control and Power Take-off Systems. China Ocean Eng 36, 15–27 (2022). https://doi.org/10.1007/s13344-022-0001-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13344-022-0001-3

Key words

Navigation