Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

A Novel Dynamics Analysis Method for Spar-Type Floating Offshore Wind Turbine

  • 9 Accesses


The dynamic behavior of floating offshore wind turbine (FOWT) is crucial for its design and optimization. A novel dynamics analysis method for the spar-type FOWT system is proposed in this paper based on the theorem of moment of momentum and the Newton's second law. The full nonlinearity of the equations of motion (EOMs) and the full nonlinear coupling between external loads and the motions are preserved in this method. Compared with the conventional methods, this method is more transparent and it can be applied directly to the large-amplitude rotation cases. An in-house code is developed to implement this method. The capability of in-house code is verified by comparing its simulation results with those predicted by FAST. Based on the in-house code, the dynamic responses of a spar-type FOWT system are investigated under various conditions.

This is a preview of subscription content, log in to check access.


  1. Amirouche, F.M.L., 2006. Fundamentals of Multibody Dynamics: Theory and Applications, Birkhäuser, Boston.

  2. Diebel, J., 2006. Representing attitude: Euler angles, unit quaternions, and rotation vectors, Matrix, 58(15–16), 1–35.

  3. Duan, F., Hu, Z.Q. and Niedzwecki, J.M., 2016. Model test investigation of a spar floating wind turbine, Marine Structures, 49, 76–96.

  4. Fylling, I., Mo, K., Merz, K. and Luxcey, N., 2009. Floating wind turbine-response analysis with rigid-body model, Proceedings of the European Offshore Wind Conference and Exhibition, Stockholm, Sweden.

  5. Hibbeler, R.C., 1996. Engineering Mechanics: Statics and Dynamics, pp.115.

  6. Hu, Z.Q., Li, L., Wang, J., Hu, Q.H. and Shen, MC., 2016. Dynamic responses of a semi-type offshore floating wind turbine during normal state and emergency shutdown, China Ocean Engineering, 30(1), 97–112.

  7. Jonkman, J., 2010. Definition of the Floating System for Phase IV of OC3, National Renewable Energy Laboratory, Golden, CO.

  8. Jonkman, J., Butterfield, S., Musial, W. and Scott, G., 2009. Definition of A 5-MW Reference wind Turbine for Offshore System Development, National Renewable Energy Laboratory, Golden, CO.

  9. Jonkman, J. and Musial, W., 2010. Offshore Code Comparison Collaboration (OC3) for IEA Wind Task 23 Offshore Wind Technology and Deployment, National Renewable Energy Laboratory, Golden, CO.

  10. Jonkman, J.M., 2007. Dynamics Modeling and Loads Analysis of An Offshore Floating Wind Turbine, National Renewable Energy Laboratory, Golden, CO.

  11. Kapsali, M. and Kaldellis, J., 2012. Offshore wind power basics, Comprehensive Renewable Energy, 2, 431–468.

  12. Karimirad, M. and Moan, T., 2010. Effect of aerodynamic and hydro-dynamic damping on dynamic response of spar type floating wind turbine, Proceedings of the EWEC2010, European Wind Energy Conference, EWEA, Warsaw.

  13. Koo, B.J., Goupee, A.J., Kimball, RW. and Lambrakos, K.F., 2014. Model tests for a floating wind turbine on three different floaters, Journal of Offshore Mechanics and Arctic Engineering, 136(2), 020907.

  14. Ma, Y., Hu, Z.Q. and Xiao, L.F., 2015. Wind-wave induced dynamic response analysis for motions and mooring loads of a spar-type offshore floating wind turbine, Journal of Hydrodynamics, Ser. B, 26(6), 865–874.

  15. Matha, D., 2010. Model Development and Loads Analysis of An Offshore Wind Turbine on A Tension Leg Platform with A Comparison to Other Floating Turbine Concepts: April 2009, National Renewable Energy Laboratory, Golden, CO.

  16. Newman, J.N., 1977. Marine Hydrodynamics, MIT Press, Cambridge.

  17. Paz, M., 1985. Structural Dynamics-Theory and Computation, second ed., Van Nostrand Reinhold, New York.

  18. Wang, L., 2012. Multibody Dynamics Using Conservation of Momentum with Application to Compliant Offshore Floating wind Turbines, Ph.D. Thesis, Texas A&M University, Texas.

  19. Wen, B.R., Dong, X.J., Tian, X.L., Peng, Z.K., Zhang, W.M. and Wei, K.X., 2018a. The power performance of an offshore floating wind turbine in platform pitching motion, Energy, 154, 508–521.

  20. Wen, B.R., Tian, X.L., Dong, X.J., Peng, Z.K. and Zhang, W.M., 2018b. On the power coefficient overshoot of an offshore floating wind turbine in surge oscillations, WindEnergy, 21(11), 1076–1091.

  21. Wen, B.R., Tian, X.L., Dong, X.J., Peng, Z.K. and Zhang, W.M., 2017. Influences of surge motion on the power and thrust characteristics of an offshore floating wind turbine, Energy, 141, 2054–2068.

  22. Wen, B.R., Tian, X.L., Zhang, Q., Dong, X.J., Peng, Z.K., Zhang, W.M. and Wei, K.X., 2019. Wind shear effect induced by the platform pitch motion of a Spar-type floating wind turbine, Renewable Energy, 135, 1186–1199.

  23. Withee, J.E., 2004. Fully Coupled Dynamic Analysis of A Floating wind Turbine System, Ph.D. Thesis, Massachusetts Institute of Technology, Massachusetts.

  24. Zheng, C.W., You, X.B., Zhou, G.Q. and Chen, X.B., 2016. Ocean Environment Characteristics and Wave Energy Resource in the China Sea and Adjacent Waters, China Ocean Press, Beijing, (in Chinese)

Download references

Author information

Correspondence to Zhi-ke Peng.

Additional information

Foundation item: This work is financially supported by the National Natural Science Foundation of China (Grant No. 11632011).

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Tian, X., Xiao, J., Liu, H. et al. A Novel Dynamics Analysis Method for Spar-Type Floating Offshore Wind Turbine. China Ocean Eng 34, 99–109 (2020). https://doi.org/10.1007/s13344-020-0010-z

Download citation

Key words

  • dynamics analysis method
  • floating offshore wind turbine
  • spar platform
  • dynamic yawing