Combining pendulum and gyroscopic effects to step-up wave energy extraction in all degrees of freedom
Giuseppe Giorgi, Fabio Carapellese, Mauro Bonfanti, Sergej Antonello Sirigudownload PDF
Abstract. The fight against the global threat of climate change requires, among other actions, to increase the penetration of renewable energy technologies and diversify the energy mix in order to support a resilient energy system that can reach net-zero greenhouse gas emissions. Offshore energy is expected to drive the energy transition, with wave energy having the major role to provide a reliable baseload and reduce the need for storage; however, its techno-economic feasibility requires reduction of costs and increase of energy conversion efficiency. This paper tackles a fundamental innovation of a device’s working principle which, jointly exploiting pendulum and gyroscopic effects, steps-up the overall conversion efficiency in real operational conditions. A recent patent proposes a technological solution that conveniently combines pendulum and gyroscopic effects in order to effectively exploit motion also outside the plane, namely in the three-dimensional space and from all degrees of freedom (DoFs). This paper tackles the endeavour of the analytical formulation of the electro-mechanical conversion system dynamics, considering at first the fully-nonlinear equation of motion, obtained through a Lagrangian approach. Consequently, incremental simplifications are applied to accommodate practical application, based on the study on the relative importance of each term in the equation of motion. Furthermore, preliminary results are produced and discussed, comparing the behaviour in response to 3-DoF to 6-DoF exploitation.
Wave Energy, Gyroscopic Effects, Inertial Effects
Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Giuseppe Giorgi, Fabio Carapellese, Mauro Bonfanti, Sergej Antonello Sirigu, Combining pendulum and gyroscopic effects to step-up wave energy extraction in all degrees of freedom, Materials Research Proceedings, Vol. 26, pp 679-684, 2023
The article was published as article 109 of the book Theoretical and Applied Mechanics
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 European Commission, The European Green Deal, EUR-Lex – EN, COM/2019/640, 2019.
 European Commission, An EU strategy to harness the potential of offshore renewable energy (ORE) for a climate neutral future, EUR-Lex – 52020DC0741 – EN, COM/2020/741, 2020.
 Ghigo, A., Cottura, L., Caradonna, R., Bracco, G., Mattiazzo, G.: Platform Optimization and Cost Analysis in a Floating Offshore Wind Farm. Jour. of Mar. Sci. and Eng. 2020, 8, 835. https://doi.org/10.3390/jmse8110835
 Kardakaris, K., Boufidi, I., Soukissian, T.: Offshore Wind and Wave Energy Complementarity in the Greek Seas Based on ERA5 Data. Atmosphere 2021, Vol. 12, Page 1360, 1360 (2021). https://doi.org/10.3390/atmos12101360
 Fenu, B., Attanasio, V., Casalone, P., Novo, R., Cervelli, G., Bonfanti, M., Sirigu, S.A., Bracco, G., Mattiazzo, G.: Analysis of a Gyroscopic-Stabilized Floating Offshore Hybrid Wind-Wave Platform. Journal of Marine Science and Eng., 8, pp. 439 (2020). https://doi.org/10.3390/jmse8060439
 Amann, K.U., Magaña, M.E., Sawodny, O.: 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 (2015). https://doi.org/10.1109/TSTE.2014.2372059
 Parrinello, L., Dafnakis, P., Pasta, E., Bracco, G., Naseradinmousavi, P., Mattiazzo, G., Bhalla, A.P.S.: An adaptive and energy-maximizing control optimization of wave energy converters using an extremum-seeking approach. Physics of Fluids 32, (2020). https://doi.org/10.1063/5.0028500
 Giorgi, G., Faedo, N.: Performance enhancement of a vibration energy harvester via harmonic time-varying damping: A pseudospectral-based approach. Mechanical Systems and Signal Processing 165, 108331 (2022). https://doi.org/10.1016/j.ymssp.2021.108331
 Bonfanti, M., Hillis, A., Sirigu, S.A., Dafnakis, P., Bracco, G., Mattiazzo, G., Plummer, A.: Real-Time Wave Excitation Forces Estimation: An Application on the ISWEC Device. Journal of Marine Science and Engineering 2020, 8, pp. 825 (2020). https://doi.org/10.3390/jmse8100825
 Li, G.,Weiss, G., Mueller, M., Townley, S., Belmont, M.R.:Wave energy converter control by wave prediction and dynamic programming. Renewable Energy 48, 392–403 (2012). https://doi.org/10.1016/j.renene.2012.05.003
 Dafnakis, P., Bhalla, A.P.S., Sirigu, S.A., Bonfanti, M., Bracco, G., Mattiazzo, G.: Comparison of wave–structure interaction dynamics of a submerged cylindrical point absorber with three degrees of freedom using potential flow and computational fluid dynamics models. Physics of Fluids 32(9), 093307 (2020). https://doi.org/10.1063/5.0022401
 Fontana, M., Casalone, P., Sirigu, S.A., Giorgi, G., Bracco, G., Mattiazzo, G.: Viscous Damping Identification for a Wave Energy Converter Using CFD-URANS Simulations. Journal of Marine Science and Engineering, 355, 8(5) (2020). https://doi.org/10.3390/jmse8050355
 Giorgi, G., Sirigu, S., Bonfanti, M., Bracco, G., Mattiazzo, G.: Fast nonlinear Froude–Krylov force calculation for prismatic floating platforms: a wave energy conversion application case. Jour. of Ocean Eng. and Mar. En. 7(4), 439–457 (2021). https://doi.org/10.1007/s40722-021-00212-z
 Casalone, P., Dell’Edera, O., Fenu, B., Giorgi, G., Sirigu, S.A., Mattiazzo, G.: Unsteady RANS CFD Simulations of Sailboat’s Hull and Comparison with Full-Scale Test. Journal of Marine Science and Engineering 2020, 8 (6), pp. 394 (2020). https://doi.org/10.3390/jmse8060394
 Faedo, N., Peña-Sanchez, Y., Carapellese, F., Mattiazzo, G., Ringwood, J.V.: LMI-based passivation of LTI systems with application to marine structures. IET Renewable Power Generation 15(14), 3424–3433 (2021). https://doi.org/10.1049/rpg2.12286
 Habib, G., Giorgi, G., Davidson, J.:Coexisting attractors in floating body dynamics undergoing parametric resonance. Acta Mec. 2351-2367(2022). https://doi.org/10.1007/s00707-022-03225-3
 Giorgi, G., Davidson, J., Habib, G., Bracco, G., Mattiazzo, G., Kalmár-Nagy, T.: Nonlinear Dynamic and Kinematic Model of a Spar-Buoy: Parametric Resonance and Yaw Numerical Instability. Jour. of Mar. Sci. and Eng., 8 (7), pp 504, (2020). https://doi.org/10.3390/jmse8070504
 Faedo, N., Dores Piuma, F.J., Giorgi, G., Ringwood, J.V.: Nonlinear model reduction for wave energy systems: a moment-matching-based approach. Nonlinear Dynamics 102(3), 1215–1237 (2020). https://doi.org/10.1007/s11071-020-06028-0
 Ermakov, A., Ringwood, J.V.: Rotors for wave energy conversion—Practice and possibilities. IET Renewable Power Generation 15(14), 3091–3108 (2021). https://doi.org/10.1049/rpg2.12192
 Faedo, N., Carapellese, F., Pasta, E., Mattiazzo, G.: On the principle of impedance-matching for underactuated wave energy harvesting systems. Applied Ocean Research 118, 102958 (2022). https://doi.org/10.1016/j.apor.2021.102958
 Amini, E., Golbaz, D., Amini, F., Nezhad, M.M., Neshat, M., Garcia, D.A.: A parametric study of wave energy converter layouts in real wave models. Energies 13(22), 1–23 (2020). https://doi.org/10.3390/en13226095
 Mérigaud, A., Ringwood, J.V.: Free-Surface Time-Series Generation for Wave Energy Applications. IEEE Journal of Oceanic Engineering 43(1), 19–35 (2018). DOI 10.1109/JOE.2017.2691199. https://doi.org/10.1109/JOE.2017.2691199