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 Bingqi Liu,Carlos Levi,Segen F. Estefen,et al.Evaluation of the Double Snap-Through Mechanism on the Wave Energy Converter’s Performance[J].Journal of Marine Science and Application,2021,(2):268-283.[doi:10.1007/s11804-021-00202-5]
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Evaluation of the Double Snap-Through Mechanism on the Wave Energy Converter’s Performance


Evaluation of the Double Snap-Through Mechanism on the Wave Energy Converter’s Performance
Bingqi Liu1 Carlos Levi1 Segen F. Estefen1 Zhijia Wu2 Menglan Duan3
Bingqi Liu1 Carlos Levi1 Segen F. Estefen1 Zhijia Wu2 Menglan Duan3
1. Ocean Engineering Department, COPPE, Federal University of Rio de Janeiro, Rio de Janeiro 21945-970, Brazil;
2. China Ship Scientific Research Center, Wuxi 214082, China;
3. College of Safety and Ocean Engineering, China University of Petroleum-Beijing, Beijing 102249, China
Wave energy converterPoint absorberDouble snap-through mechanismBistable dynamic behaviorTristable dynamic behavior
Lower efficiencies induce higher energy costs and pose a barrier to wave energy devices’ commercial applications. Therefore, the efficiency enhancement of wave energy converters has received much attention in recent decades. The reported research presents the double snap-through mechanism applied to a hemispheric point absorber type wave energy converter (WEC) to improve the energy absorption performance. The double snap-through mechanism comprises four oblique springs mounted in an X-configuration. This provides the WEC with different dynamic stability behaviors depending on the particular geometric and physical parameters employed. The efficiency of these different WEC behaviors (linear, bistable, and tristable) was initially evaluated under the action of regular waves. The results for bistable or tristable responses indicated significant improvements in the WEC’s energy capture efficiency. Furthermore, the WEC frequency bandwidth was shown to be significantly enlarged when the tristable mode was in operation. However, the corresponding tristable trajectory showed intra-well behavior in the middle potential well, which induced a more severe low-energy absorption when a small wave amplitude acted on the WEC compared to when the bistable WEC was employed. Nevertheless, positive effects were observed when appropriate initial conditions were imposed. The results also showed that for bistable or tristable responses, a suitable spring stiffness may cause the buoy to oscillate in high energy modes.


Al Shami E, Zhang R, Wang X (2019) Point absorber wave energy harvesters:a review of recent developments. Energies 12(1):47. https://doi.org/10.3390/en12010047
Andersen P, Pedersen TS, Nielsen KM, Vidal E, (2015). Model predictive control of a wave energy converter. 2015 IEEE Conf. Control Appl. CCA 2015-Proc, Sydney, 1540-1545. https://doi.org/10.1109/CCA.2015.7320829
Anvari-Moghaddam A, Mohammadi-Ivatloo B, Asadi S, Larsen KG, Shahidehpour M (2020) Sustainable energy systems planning, integration, and management. Applied Sciences, Switzerland. MDPI. https://doi.org/10.3390/app9204451
Astariz S, Iglesias G (2015) The economics of wave energy:a review. Renew Sust Energ Rev 45:397-408. https://doi.org/10.1016/j.rser.2015.01.061
Babarit A, Clément AH (2006) Optimal latching control of a wave energy device in regular and irregular waves. Appl Ocean Res 28(2):77-91. https://doi.org/10.1016/j.apor.2006.05.002
Budal K, Falnes J (1982) Wave power conversion by point absorbers:a Norwegian project. Int J Ambient Energy 3:59-67. https://doi.org/10.1080/01430750.1982.9675829
Cummins WE (1962) The impulse response function and ship motions. Navy Dep, David Taylor Model Basin
Czech B, Bauer P (2012) Wave energy converter concepts:design challenges and classification. IEEE Ind Electron Mag 6:4-16. https://doi.org/10.1109/MIE.2012.2193290
Daqaq MF, Masana R, Erturk A, Quinn DD (2014) On the role of nonlinearities in vibratory energy harvesting:a critical review and discussion. Appl Mech Rev 66(4):040801. https://doi.org/10.1115/1.4026278
Edenhofer O, Madruga RP, Sokona Y, Seyboth K, Matschoss P, Kadner S, Zwickel T, Eickemeier P, Hansen G, Schlömer S, von Stechow C (2011) Renewable energy sources and climate change mitigation:special report of the intergovernmental panel on climate change. Cambridge University Press, Cambridge, United Kingdom. https://doi.org/10.1017/CBO9781139151153
Enerdata (2021) EnerOutlook 2050. Available from https://eneroutlook.enerdata.net/. Accessed 4 Mar 2021
Faedo N, Olaya S, Ringwood JV (2017) Optimal control, MPC and MPC-like algorithms for wave energy systems:an overview. IFAC J Syst Control 1:37-56. https://doi.org/10.1016/j.ifacsc.2017.07.001
Falcão AFDO (2008) Phase control through load control of oscillating-body wave energy converters with hydraulic PTO system. Ocean Eng 35(3-4):358-366. https://doi.org/10.1016/j.oceaneng.2007.10.005
Falcão AFDO (2010) Wave energy utilization:a review of the technologies. Renew Sust Energ Rev 14(3):899-918. https://doi.org/10.1016/j.rser.2009.11.003
Falnes J (2002) Ocean waves and oscillating systems:linear interactions including wave-energy extraction. Cambridge University Press, Cambridge
Garcia-Rosa PB, Kulia G, Ringwood JV, Molinas M (2017) Real-time passive control of wave energy converters using the Hilbert-Huang transform. IFAC-PapersOnLine 50(1):14705-14710. https://doi.org/10.1016/j.ifacol.2017.08.2502
Goggins J, Finnegan W (2014) Shape optimisation of floating wave energy converters for a specified wave energy spectrum. Renew Energy 71:208-220. https://doi.org/10.1016/j.renene.2014.05.022
Harne RLKWW (2017) Harnessing bistable structural dynamics:for vibration control, energy harvesting and sensing. Wiley
Henriques JCC, Gato LMC, Falcão AFO, Robles E, Faÿ FX (2016) Latching control of a floating oscillating-water-column wave energy converter. Renew Energy 90:229-241. https://doi.org/10.1016/j.renene.2015.12.065
Hulme A (1982) The wave forces acting on a floating hemisphere undergoing forced periodic oscillations. J Fluid Mech 121:443-463. https://doi.org/10.1017/S0022112082001980
Jin S, Patton RJ, Guo B (2019) Enhancement of wave energy absorption efficiency via geometry and power take-off damping tuning. Energy 169:819-832. https://doi.org/10.1016/j.energy.2018.12.074
Li G, Belmont MR (2014a) Model predictive control of sea wave energy converters-Part I:A convex approach for the case of a single device. Renew Energy 69:453-463. https://doi.org/10.1016/j.renene.2014.03.070
Li G, Belmont MR (2014b) Model predictive control of sea wave energy converters-Part II:The case of an array of devices. Renew Energy 68:540-549. https://doi.org/10.1016/j.renene.2014.02.028
Li L, Zhang X, Yuan Z, Gao Y (2019) Multi-stable mechanism of an oscillating-body wave energy converter. IEEE Trans Sustain Energy 11(1):500-508. https://doi.org/10.1109/tste.2019.2896991
Maria-Arenas A, Garrido AJ, Rusu E, Garrido I (2019) Control strategies applied to wave energy converters:State of the art. Energies 12(16). https://doi.org/10.3390/en12163115
Ogilvie TF (1964) Recent progress toward the understanding and prediction of ship motions. Proceedings of the 5th Symposium on Naval Hydrodynamics, Bergen, Norway
Pérez T, Fossen TI (2008) Time-vs. frequency-domain identification of parametric radiation force models for marine structures at zero speed. Model. Identif. Control 29(1):1-19. https://doi.org/10.4173/mic.2008.1.1
Pérez T, Fossen TI (2009) A Matlab toolbox for parametric identification of radiation-force models of ships and offshore structures. Model Identif Control 30(1):1-15. https://doi.org/10.4173/mic.2009.1.1
Ramlan R, Brennan MJ, MacE BR, Kovacic I (2010) Potential benefits of a non-linear stiffness in an energy harvesting device. Nonlinear Dyn 59:545-558. https://doi.org/10.1007/s11071-009-9561-5
Reguero BG, Losada IJ, Méndez FJ (2019) A recent increase in global wave power as a consequence of oceanic warming. Nat Commun 10:1-14. https://doi.org/10.1038/s41467-018-08066-0
Rodríguez CA, Rosa-Santos P, Taveira-Pinto F (2019) Assessment of damping coefficients of power take-off systems of wave energy converters:a hybrid approach. Energy 169:1022-1038. https://doi.org/10.1016/j.energy.2018.12.081
Shadman M, Estefen SF, Rodriguez CA, Nogueira ICM (2018) A geometrical optimization method applied to a heaving point absorber wave energy converter. Renew Energy 115:533-546. https://doi.org/10.1016/j.renene.2017.08.055
Shadman M, Silva C, Faller D, Wu Z, de Freitas Assad LP, Landau L, Levi C, Estefen SF (2019) Ocean renewable energy potential, technology, and deployments:a case study of Brazil. Energies 12(19):3658. https://doi.org/10.3390/en12193658
Todalshaug JH (2015) Wave energy converter. International Patent WO 2015/107158 Al
Todalshaug JH, Ásgeirsson GS, Hjálmarsson E, Maillet J, Möller P, Pires P, Guérinel M, Lopes M (2016) Tank testing of an inherently phase-controlled wave energy converter. Int J Mar Energy 15:68-84. https://doi.org/10.1016/j.ijome.2016.04.007
Wei C, Jing X (2017) A comprehensive review on vibration energy harvesting:modelling and realization. Renew Sust Energ Rev 74:1-18. https://doi.org/10.1016/j.rser.2017.01.073
Wu Z, Levi C, Estefen SF (2018) Wave energy harvesting using nonlinear stiffness system. Appl Ocean Res 74:102-116. https://doi.org/10.1016/j.apor.2018.02.009
Wu Z, Levi C, Estefen SF (2019) Practical considerations on nonlinear stiffness system for wave energy converter. Appl Ocean Res 92:101935. https://doi.org/10.1016/j.apor.2019.101935
Younesian D, Alam MR (2017) Multi-stable mechanisms for high-efficiency and broadband ocean wave energy harvesting. Appl Energy 197:292-302. https://doi.org/10.1016/j.apenergy.2017.04.019
Zhang X, Yang J (2015) Power capture performance of an oscillating-body WEC with nonlinear snap through PTO systems in irregular waves. Appl Ocean Res 52:261-273. https://doi.org/10.1016/j.apor.2015.06.012
Zhang X, Yang J, Xiao L (2014) Numerical study of an oscillating wave energy converter with nonlinear snap-through Power-Take-Off systems in regular waves. J Ocean Wind Energy 1:225-230
Zhang X, Tian X, Xiao L, Li X, Chen L (2018) Application of an adaptive bistable power capture mechanism to a point absorber wave energy converter. Appl Energy 228:450-467. https://doi.org/10.1016/j.apenergy.2018.06.100
Zhang X, Tian X, Xiao L, Li X, Lu W (2019a) Mechanism and sensitivity for broadband energy harvesting of an adaptive bistable point absorber wave energy converter. Energy 188:115984. https://doi.org/10.1016/j.energy.2019.115984
Zhang H, Xi R, Xu D, Wang K, Shi Q, Zhao H, Wu B (2019b) Efficiency enhancement of a point wave energy converter with a magnetic bistable mechanism. Energy 181:1152-1165. https://doi.org/10.1016/j.energy.2019.06.008


Foundation item:This study is supported by the China Scholarship Council under Grant No. 201600090258, the National Key Research and Development Program of China under Grant No. 2016YFC0303700, and the 111 Project under Grant No. B18054.
Corresponding author:Segen F. Estefen, segen@lts.coppe.ufrj.br
Last Update: 2021-09-06