Abstract
The present study envisages to investigate the coupled dynamic behaviour of three configurations of a hybrid wind-wave energy system integrating Oscillating Water Column (OWC) wave energy converters to DeepCwind semi-submersible supporting an NREL (National Renewable Energy Laboratory) 5 MW wind turbine. DeepCwind semi-submersible is a platform designed specifically for the purpose of supporting floating offshore wind turbines and the stability of the platform has been well confirmed by scaled-down experiments and numerical studies. The numerical simulation for the present study is performed using the aero-hydro-servo-elastic tool OpenFAST. The dynamic responses of the hybrid platforms are determined for different operational and parked wind speed conditions of the wind turbine in irregular waves. The motion responses, tower base forces and moments, mooring tensions and power absorption of the hybrid configurations have been characterized. Furthermore, the effect of coupling between the semi-submersible platform and the OWCs is studied by comparing the results of the combined platforms with that of the uncoupled wind energy platform. The coupled dynamic analysis in the time domain shows that increasing the number of OWC helps to reduce the motion responses in heave and pitch. The capture width ratio of the system is observed to be highest for hybrid configuration with a single OWC device. The present study will be helpful in the design and analysis of hybrid floating wave-wind energy platform.
Similar content being viewed by others
Availability of data and materials
The data that support the findings of this study are available on request from the corresponding author.
Abbreviations
- \(A_{ij}\) :
-
Added mass matrix of the floating body
- \(B_{ij}\) :
-
Coefficient of radiation damping
- \(B_{pto}\) :
-
Damping coefficient of PTO system
- \(C_{ext}\) :
-
Hydrostatic stiffness of the mooring lines
- \(C_{ID}\) :
-
Axial structural damping coefficient
- \(C_{ij}\) :
-
Restoring coefficient
- \(F_{i,\text{current}}\) :
-
Force of current flow
- \(F_{i,\text{diffraction}}\) :
-
Diffraction force
- \(F_{i,ext}\) :
-
External load on the floating platform
- \(f_{i,ext}\) :
-
External forces acting on the mooring line
- \(F_{i,\text{hydrostatic}}\) :
-
Hydrostatic force
- \(f_{i,\text{int}}\) :
-
Internal forces acting on the mooring line
- \(F_{i,\text{radiation}}\) :
-
Radiation force
- \(F_{i,\text{viscous}}\) :
-
Viscous force
- \(F_{i,\text{wave}}\) :
-
Wave force
- \(K_{ij}\) :
-
Retardation function
- \(P_{abs}\) :
-
Power absorbed by wave energy converter
- \(P_{\text{wave}}\) :
-
Wave power
- \(S\left( \omega \right)\) :
-
Wave spectrum
- \(S_{R} \left( \omega \right)\) :
-
Response spectrum of the floating platform
- \(T\) :
-
Tension in mooring line
- \(T_{p}\) :
-
Peak spectral period
- \(u_{f}\) :
-
Fluid particle velocity
- \(U_{\text{mean}}\) :
-
Mean wind speed
- \(\omega\) :
-
Angular frequency
- \(\omega_{0}\) :
-
Modal angular frequency of wave spectrum
References
Aboutalebi P, M’zoughi F, Garrido I, Garrido AJ (2021) Performance analysis on the use of oscillating water column in barge-based floating offshore wind turbines. Mathematics 9(5):475
Atcheson M, Garrad A (2016) Floating offshore wind energy: the next generation of wind energy. In: Cruz J, Atcheson M (eds) Chapter-1: Looking Back. Springer Nature, pp 1–21
Aubault A, Alves M, Sarmento AN, Roddier D, Peiffer A (2011) Modeling of an oscillating water column on the floating foundation WindFloat. In: 30th International Conference on Offshore Mechanics and Arctic Engineering, Vol. 44373, pp 235–246
Chandrasekaran S, Sricharan VVS (2021) Numerical study of bean-float wave energy converter with float number parametrization using WEC-Sim in regular waves with the levelized cost of electricity assessment for Indian sea states. Ocean Eng 237:109591
Coulling AJ, Goupee AJ, Robertson AN, Jonkman JM, Dagher HJ (2013) Validation of a FAST semi-submersible floating wind turbine numerical model with DeepCwind test data. J Renew Sustain Energy 5(2):023116
Cummins WE (1962) The impulse response function and ship motions. SchiffStenchnik 47(9):101–109
Gaspar JF, Kamarlouei M, Thiebaut F, Guedes Soares C (2021) Compensation of a hybrid platform dynamics using wave energy converters in different sea state conditions. Renew Energy 177:871–883
Ghafari HR, Ghassemi H, Neisi A (2022) Power matrix and dynamic response of the hybrid Wavestar-DeepCwind platform under different diameters and regular wave conditions. Ocean Eng 247:110734
Ghafari HR, Neisi A, Ghassemi H, Iranmanesh M (2021) Power production of the hybrid Wavestar point absorber mounted around the Hywind spar platform and its dynamic response. J Renew Sustain Energy 13(3):033308
Giorgi G, Gomes RP, Henriques JC, Gato LM, Bracco G, Mattiazzo G (2020) Detecting parametric resonance in a floating oscillating water column device for wave energy conversion: numerical simulations and validation with physical model tests. Appl Energy 276:115421
Goupee AJ, Koo B, Lambrakos K, Kimball R (2012) Model tests for three floating wind turbine concepts. Paper ID: OTC-23470-MS, Offshore Technology Conference, 30th April – 3rd May, 2012, Houston, Texas, USA
Goupee AJ, Koo BJ, Kimball RW, Lambrakos KF, Dagher HJ (2014) Experimental comparison of three floating wind turbine concepts. J Offshore Mech Arctic Eng 136(2):020906–1–9
Hallak TS, Karmakar D, Guedes Soares C (2021) Hydrodynamic performance of semi-submersible FOWT combined with point-absorber WECs. In: Maritime Technology and Engineering, 5, vol 2, pp 577–585
Han Y, Le C, Ding H, Cheng Z, Zhang P (2017) Stability and dynamic response analysis of a submerged tension leg platform for offshore wind turbines. Ocean Eng 129:68–82
Johnson N, Jonkman J, Wright A, Hayman G & Robertson A (2019) Verification of floating offshore wind linearization functionality in OpenFAST. J Phys 1356(1):012022 (IOP Publishing)
Jonkman JM (2007) Dynamics modeling and loads analysis of an offshore floating wind turbine. NREL Technical Report, NREL/TP-500–41958, Colorado, USA
Jonkman JM (2009) Dynamics of offshore floating wind turbines—model development and verification. Wind Energy 12(5):459–492
Karimirad M, Michailides C, Nematbakhsh A (2018) Offshore mechanics: structural and fluid dynamics for recent applications. John Wiley & Sons
Katsaounis GM, Polyzos S, Mavrakos SA (2017) An experimental study of the hydrodynamic behavior of a TLP platform for a 5MW Wind Turbine with OWC devices. In: MARINE VII: Proceedings of the VII International Conference on Computational Methods in Marine Engineering, pp 722–731
Koo BJ, Goupee AJ, Kimball RW, Lambrakos KF (2014) Model tests for a floating wind turbine on three different floaters. J Offshore Mech Arctic Eng 136(2):020907–1–11
Lee CH (1995) WAMIT theory manual. Massachusetts Institute of Technology, Cambridge, MA, USA
Lee CF, Tryfonidis C, Ong MC (2023) Power performance and response analysis of a semi-submersible wind turbine combined with flap-type and torus wave energy converters. J Offshore Mech Arct Eng 145(4):042001
Lyu G, Zhang H, Li J (2019) Effects of incident wind/wave directions on dynamic response of a SPAR-type floating offshore wind turbine system. Acta Mech Sin 35(5):954–963
Masciola M, Robertson A, Jonkman J, Coulling A, Goupee A (2013) Assessment of the importance of mooring dynamics on the global response of the DeepCwind floating semisubmersible offshore wind turbine. In: 23rd International Offshore and Polar Engineering Conference, 30th June – 5th July 3013, Anchorage, Alaska
Mazarakos TP, Konispoliatis DN, Mavrakos SA (2016) Design of a TLP floating structure concept for combined wind and wave energy exploitation. In: Proceedings of the 2nd International Conference on Renewable Energies Offshore (RENEW), Lisbon, Portugal, pp 24–26
Muliawan MJ, Karimirad M, Gao Z, Moan T (2013) Extreme responses of a combined spar-type floating wind turbine and floating wave energy converter (STC) system with survival modes. Ocean Eng 65:71–82
Nguyen HP, Wang CM, Tay ZY, Luong VH (2020) Wave energy converter and large floating platform integration: a review. Ocean Eng 213:107768
O’Donnell D, Murphy J, Pakrashi V (2021) Comparison of response amplitude operator curve generation methods for scaled floating renewable energy platforms in ocean wave basin. Lett Dyn Syst Control 1(2):021012–1–12
Pecher A, Kofoed JP (2017) Handbook of ocean wave energy. Springer Nature
Perez-Collazo C, Greaves D, Iglesias G (2015) A review of combined wave and offshore wind energy. Renew Sustain Energy Rev 42:141–153
Perez-Collazo C, Greaves D, Iglesias G (2018) A novel hybrid wind-wave energy converter for jacket-frame substructures. Energies 11(3):637
Perez-Collazo C, Pemberton R, Greaves D, Iglesias G (2019) Monopile-mounted wave energy converter for a hybrid wind-wave system. Energy Convers Manage 199:111971
Robertson AN, Jonkman JM, Goupee AJ, Coulling AJ, Prowell I, Browning J, Masciola MD, Molta P (2013) Summary of conclusions and recommendations drawn from the DeepCwind scaled floating offshore wind system test campaign. In: Proceedings of 32nd International Conference on Offshore Mechanics and Arctic Engineering, 9th – 14th June, 2013, Nantes, France, Paper ID: OMAE2013–10817
Rony JS, Karmakar D (2021) Coupled dynamic analysis of hybrid offshore wind turbine and wave energy converter. J Offshore Mech Arctic Eng 144(3):032002–1–13
Rony JS, Karmakar D (2023) Coupled dynamic analysis of hybrid STLP-WEC offshore floating wind turbine with different mooring configurations. J Ocean Eng Mar Energy 9:623–651
Salter SH (1974) Wave power. Nature 249(5459):720–724
Sheng W (2019) Wave energy conversion and hydrodynamics modelling technologies: a review. Renew Sustain Energy Rev 109:482–498
Shokouhian M, Head M, Seo J, Schaffer W, Adams G (2021) Hydrodynamic response of a semi-submersible platform to support a wind turbine. J Mar Eng Technol 20(3):170–185
Si Y, Chen Z, Zeng W, Sun J, Zhang D, Ma X, Qian P (2021) The influence of power-take-off control on the dynamic response and power output of combined semi-submersible floating wind turbine and point-absorber wave energy converters. Ocean Eng 227:108835
Sinha A, Karmakar D, Guedes Soares C (2016) Performance of optimally tuned arrays of heaving point absorbers. Renew Energy 92:517–531
Sohn JM, Cheon HJ, Hong K, Shin SH (2016) Equivalent design wave approach for structural analysis of floating pendulum wave energy converter. Ships Offshore Struct 11(6):645–654
Tran TT, Kim DH (2018) A CFD study of coupled aerodynamic-hydrodynamic loads on a semisubmersible floating offshore wind turbine. Wind Energy 21(1):70–85
Vijay KG, Karmakar D, Uzunoglu E, Guedes Soares C (2016) Performance of barge-type floaters for floating wind turbine. In: Proceedings of the 2nd International Conference of Renewable Energies Offshore, Lisbon, Portugal, pp 24–26
Wan L, Gao Z, Moan T (2015) Experimental and numerical study of hydrodynamic responses of a combined wind and wave energy converter concept in survival modes. Coast Eng 104:151–169
Wan L, Gao Z, Moan T, Lugni C (2016) Comparative experimental study of the survivability of a combined wind and wave energy converter in two testing facilities. Ocean Eng 111:82–94
Wang X, Zeng X, Li J, Yang X, Wang H (2018) A review on recent advancements of substructures for offshore wind turbines. Energy Convers Manage 158:103–119
Xu X, Gaidai O, Naess A, Sahoo P (2020) Extreme loads analysis of a site-specific semi-submersible type wind turbine. Ships Offshore Struct 15(1):S46–S54
Zhang D, Chen Z, Liu X, Sun J, Yu H, Zeng W, Ying Y, Sun Y, Cui L, Yang S, Qian P, Si Y (2022) A coupled numerical framework for hybrid floating offshore wind turbine and oscillating water column wave energy converters. Energy Convers Manage 267:115933
Zhang L, Shi W, Karimirad M, Michailides C, Jiang Z (2020) Second-order hydrodynamic effects on the response of three semisubmersible floating offshore wind turbines. Ocean Eng 207:107371
Zhou Y, Ning D, Shi W, Johanning L, Liang D (2020) Hydrodynamic investigation on an OWC wave energy converter integrated into an offshore wind turbine monopile. Coast Eng 162:103731
Zhu H, Hu C, Sueyoshi M, Yoshida S (2020) Integration of a semisubmersible floating wind turbine and wave energy converters: an experimental study on motion reduction. J Mar Sci Technol 25(3):667–674
Acknowledgements
The authors express their gratitude to the Ministry of Education, Government of India, and the National Institute of Technology, Karnataka, Surathkal, for providing necessary facilities. DK acknowledges the partial support from Ministry of Ports, Shipping and Waterways, India through the research grant no. DW/01013(13)/2/2021.
Funding
The research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.
Author information
Authors and Affiliations
Contributions
BS: Conceptualization, Methodology, Validation, Writing – original draft, Visualization, Investigation. DK: Conceptualization, Methodology, Supervision, Writing – review & editing. MR: Supervision, Writing – review & editing.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Ethical approval
Not applicable.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Sebastian, B., Karmakar, D. & Rao, M. Coupled dynamic analysis of semi-submersible floating wind turbine integrated with oscillating water column WEC. J. Ocean Eng. Mar. Energy 10, 287–312 (2024). https://doi.org/10.1007/s40722-023-00313-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40722-023-00313-x