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Coupled dynamic analysis of semi-submersible floating wind turbine integrated with oscillating water column WEC

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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.

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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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Cummins WE (1962) The impulse response function and ship motions. SchiffStenchnik 47(9):101–109

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  MathSciNet  Google Scholar 

  • Karimirad M, Michailides C, Nematbakhsh A (2018) Offshore mechanics: structural and fluid dynamics for recent applications. John Wiley & Sons

    Book  Google Scholar 

  • 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

    Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Nguyen HP, Wang CM, Tay ZY, Luong VH (2020) Wave energy converter and large floating platform integration: a review. Ocean Eng 213:107768

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Perez-Collazo C, Greaves D, Iglesias G (2018) A novel hybrid wind-wave energy converter for jacket-frame substructures. Energies 11(3):637

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Salter SH (1974) Wave power. Nature 249(5459):720–724

    Article  Google Scholar 

  • Sheng W (2019) Wave energy conversion and hydrodynamics modelling technologies: a review. Renew Sustain Energy Rev 109:482–498

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Sinha A, Karmakar D, Guedes Soares C (2016) Performance of optimally tuned arrays of heaving point absorbers. Renew Energy 92:517–531

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  MathSciNet  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

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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.

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The research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

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BS: Conceptualization, Methodology, Validation, Writing – original draft, Visualization, Investigation. DK: Conceptualization, Methodology, Supervision, Writing – review & editing. MR: Supervision, Writing – review & editing.

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Correspondence to D. Karmakar.

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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

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