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Dynamic analysis of a tri-floater with vertical axis wind turbine supported at its centroid

Year 2021, Volume: 5 Issue: 1, 10 - 19, 31.03.2021
https://doi.org/10.30521/jes.811097

Abstract

The paper deals with the dynamic analysis of a tri-floater with a 1 MW offshore Vertical Axis Wind Turbine (VAWT) placed at its centroid. Six line catenary mooring system was used for controlling the horizontal movement of the floater. The floater was modeled as a rigid body with six degrees of freedom. Mass, damping and hydrostatic stiffness were calculated by using hydrostatic stability condition. The aerodynamic load on Vertical Axis Wind Turbine was calculated via the stream tube theory. Wave profile was calculated using Airy’s wave theory followed by the use of Morison’s equation to determine the inertial and drag forces on the floater. A computer program was developed by using the MatLab package for force calculation including wind and wave excitations as a dynamic analysis. The Newmark - beta method was performed for these analyses. The equation of motion for the floater was solved in time domain. Restoring force by mooring lines at each instant of time was calculated based on the cable profile. Responses of the tri-floater with VAWT in different sea conditions were analyzed. It was proven that surge, heave and pitch are the predominant motions for a straight (00) wave. These motions were also analyzed for the waves with different inclinations and their responses were also considered and compared.

Thanks

The authors acknowledge the computational resources provided by National institute of technology Calicut for the conduct of this work.

References

  • [1] Sutherland, HJ, Berg, DE, Ashwill, TD. A Retrospective of VAWT Technology 2012.
  • [2] Hooft JP. Hydrodynamic Aspects of Semisubmersible Platform. PhD, Delft University of Technology, Delft, Nederland, 1972.
  • [3] Tong KC. Technical and Economic Aspects of a Floating Offshore Wind Farm. Journal of Wind Engineering and Industrial Aerodynamics 1998; I: 399-410.
  • [4] Bulder BH, Henderson A, Huijsmans, Peeringa JM. Floating offshore wind turbines for Shallow waters. In: International Conference on Ocean Offshore and Arctic Engineering; 23-28 June 2002.
  • [5] Ruoyu, Z, Yougang, T, Jun, H, Shengfu, R, Chaohe, C. Dynamic Response in Frequency and Time Domains of a Floating Foundation for Offshore Wind Turbines. Ocean Engineering 2013; 1: 115-123, DOI: 10.1016/j.oceaneng.2012.12.015.
  • [6] Borg, M, Maurizio, C, Andrew, S. Offshore Floating Vertical Axis Wind Turbines, Dynamics Modelling State of the Art Part I: Aerodynamics. Renewable and Sustainable Energy Reviews 2014; 1: 1-12, DOI: 10.1016/j.rser.2014.07.096i.
  • [7] Owens B, Griffithy D. Modal dynamics and stability of large multi-megawatt deepwater offshore vertical-axis wind turbines: Initial support structure and rotor design impact studies. In: 32nd ASME Wind Energy Symposium Maryland, 2014; 1-21.
  • [8] Rajeswari K, Nallayarasu S. Hydrodynamic response of three column semi-submersible floater supporting vertical axis wind turbine. In: ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers 2017; V010T09A084–V010T09A084.
  • [9] Ramtin, R, Paul, F, Philippe, D. Fatigue life sensitivity of monopile-supported offshore wind turbines to damping. Renewable Energy, 2018; 1: 450-459.
  • [10] Islam, M, Ting, DS-K, Fartaj, A. Aerodynamic models for Darrieus-type straight-bladed vertical axis wind turbines. Renewable Sustainable Energy Rev. 2008, 12,; 1087–1109.
  • [11] Blonk, D.L. Conceptual Design and Evaluation of Economic Feasibility of Floating Vertical Axis Wind Turbines, 2010; 1–157.
  • [12] Wang K, Moan T, Hansen MOL. A method for modeling of floating vertical axis wind turbine. In: ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013; V008T09A016–V008T09A016.
  • [13] Collu M, Borg M, Shires A, Brennan FP. FloVAWT: progress on the development of a coupled model of dynamics for floating offshore vertical axis wind turbines. In: ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013; V008T09A045–V008T09A045.
  • [14] Borg M, Collu M. A comparison on the dynamics of a floating vertical axis wind turbine on three different floating support structures. Energy Procedia 53 (C), 2014a; I: 268–279.
  • [15] Borg, M, Collu, M. Offshore floating vertical axis wind turbines, dynamics modelling state of the art. Part III: Hydrodynamics and coupled modeling approaches. Renewable Sustainable Energy Rev. 46, 2014b; I: 296–310.
  • [16] Cheng, Z, Madsen, HA, Chai, W, Gao, Z, Moan, T. A comparison of extreme structural responses and fatigue damage of semi-submersible type floating horizontal and vertical axis wind turbines. Renew. Energy 108, 2017a; 201–219.
  • [17] Cheng, Z, Madsen, HA, Gao, Z, Moan, T. A fully coupled method for numerical modeling and dynamic analysis of floating vertical axis wind turbines. Renew. Energy 107, 2017b; I: 604–619.
  • [18] Cheng, Z, Madsen, HA, Gao, Z, Moan, T. Effect of the number of blades on the dynamics of floating straight-bladed vertical axis wind turbines. Renew. Energy 101, 2017c; I: 1285–1298.
  • [19] Lei, H, Zhou, D, Lu, J, Chen, C, Han, Z, Bao, Y. The impact of pitch motion of a platform on the aerodynamic performance of a floating vertical axis wind turbine. Energy 119, 2017; I: 369–383.
  • [20] Habtamu, B, Yingxue, Y. Double Multiple Stream Tube Model and Numerical Analysis of Vertical Axis Wind Turbine. Journal of Energy and Power Engineering 2011; I: 262-270.
  • [21] Dominique, R, Christian, C, Alexia, A, Alla, W. A floating foundation for offshore wind turbines. Journal of Renewable and Sustainable Energy, 2010, 2, 033104. https://doi.org/10.1063/1.3435339
Year 2021, Volume: 5 Issue: 1, 10 - 19, 31.03.2021
https://doi.org/10.30521/jes.811097

Abstract

References

  • [1] Sutherland, HJ, Berg, DE, Ashwill, TD. A Retrospective of VAWT Technology 2012.
  • [2] Hooft JP. Hydrodynamic Aspects of Semisubmersible Platform. PhD, Delft University of Technology, Delft, Nederland, 1972.
  • [3] Tong KC. Technical and Economic Aspects of a Floating Offshore Wind Farm. Journal of Wind Engineering and Industrial Aerodynamics 1998; I: 399-410.
  • [4] Bulder BH, Henderson A, Huijsmans, Peeringa JM. Floating offshore wind turbines for Shallow waters. In: International Conference on Ocean Offshore and Arctic Engineering; 23-28 June 2002.
  • [5] Ruoyu, Z, Yougang, T, Jun, H, Shengfu, R, Chaohe, C. Dynamic Response in Frequency and Time Domains of a Floating Foundation for Offshore Wind Turbines. Ocean Engineering 2013; 1: 115-123, DOI: 10.1016/j.oceaneng.2012.12.015.
  • [6] Borg, M, Maurizio, C, Andrew, S. Offshore Floating Vertical Axis Wind Turbines, Dynamics Modelling State of the Art Part I: Aerodynamics. Renewable and Sustainable Energy Reviews 2014; 1: 1-12, DOI: 10.1016/j.rser.2014.07.096i.
  • [7] Owens B, Griffithy D. Modal dynamics and stability of large multi-megawatt deepwater offshore vertical-axis wind turbines: Initial support structure and rotor design impact studies. In: 32nd ASME Wind Energy Symposium Maryland, 2014; 1-21.
  • [8] Rajeswari K, Nallayarasu S. Hydrodynamic response of three column semi-submersible floater supporting vertical axis wind turbine. In: ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers 2017; V010T09A084–V010T09A084.
  • [9] Ramtin, R, Paul, F, Philippe, D. Fatigue life sensitivity of monopile-supported offshore wind turbines to damping. Renewable Energy, 2018; 1: 450-459.
  • [10] Islam, M, Ting, DS-K, Fartaj, A. Aerodynamic models for Darrieus-type straight-bladed vertical axis wind turbines. Renewable Sustainable Energy Rev. 2008, 12,; 1087–1109.
  • [11] Blonk, D.L. Conceptual Design and Evaluation of Economic Feasibility of Floating Vertical Axis Wind Turbines, 2010; 1–157.
  • [12] Wang K, Moan T, Hansen MOL. A method for modeling of floating vertical axis wind turbine. In: ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013; V008T09A016–V008T09A016.
  • [13] Collu M, Borg M, Shires A, Brennan FP. FloVAWT: progress on the development of a coupled model of dynamics for floating offshore vertical axis wind turbines. In: ASME 2013 32nd International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2013; V008T09A045–V008T09A045.
  • [14] Borg M, Collu M. A comparison on the dynamics of a floating vertical axis wind turbine on three different floating support structures. Energy Procedia 53 (C), 2014a; I: 268–279.
  • [15] Borg, M, Collu, M. Offshore floating vertical axis wind turbines, dynamics modelling state of the art. Part III: Hydrodynamics and coupled modeling approaches. Renewable Sustainable Energy Rev. 46, 2014b; I: 296–310.
  • [16] Cheng, Z, Madsen, HA, Chai, W, Gao, Z, Moan, T. A comparison of extreme structural responses and fatigue damage of semi-submersible type floating horizontal and vertical axis wind turbines. Renew. Energy 108, 2017a; 201–219.
  • [17] Cheng, Z, Madsen, HA, Gao, Z, Moan, T. A fully coupled method for numerical modeling and dynamic analysis of floating vertical axis wind turbines. Renew. Energy 107, 2017b; I: 604–619.
  • [18] Cheng, Z, Madsen, HA, Gao, Z, Moan, T. Effect of the number of blades on the dynamics of floating straight-bladed vertical axis wind turbines. Renew. Energy 101, 2017c; I: 1285–1298.
  • [19] Lei, H, Zhou, D, Lu, J, Chen, C, Han, Z, Bao, Y. The impact of pitch motion of a platform on the aerodynamic performance of a floating vertical axis wind turbine. Energy 119, 2017; I: 369–383.
  • [20] Habtamu, B, Yingxue, Y. Double Multiple Stream Tube Model and Numerical Analysis of Vertical Axis Wind Turbine. Journal of Energy and Power Engineering 2011; I: 262-270.
  • [21] Dominique, R, Christian, C, Alexia, A, Alla, W. A floating foundation for offshore wind turbines. Journal of Renewable and Sustainable Energy, 2010, 2, 033104. https://doi.org/10.1063/1.3435339
There are 21 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Asadulla Thoppil This is me 0000-0003-1799-0015

M Akbar This is me 0000-0002-4221-4395

Dadi Rambabu 0000-0001-9606-4233

Publication Date March 31, 2021
Acceptance Date February 17, 2021
Published in Issue Year 2021 Volume: 5 Issue: 1

Cite

Vancouver Thoppil A, Akbar M, Rambabu D. Dynamic analysis of a tri-floater with vertical axis wind turbine supported at its centroid. JES. 2021;5(1):10-9.

Journal of Energy Systems is the official journal of 

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