Edgewise Vibration Reduction of a Small-Scale Wind Turbine Blade with Considering Vibration Coupling

Document Type : Research Article

Authors

1 Faculty of Mechanical and Energy Engineering, Shahid Beheshti University, Tehran, Iran

2 Faculty of Mechanical and Energy Engineering, Shahid Beheshti University

Abstract

Edgewise vibration in wind turbine blades is one of the important factors that results in reducing the performance of wind turbines. In this paper, an optimally tuned mass damper is proposed to reduce edgewise vibration of a small-scale horizontal axis wind turbine blade (5 kW) with considering the coupling between edgewise and flapwise vibrations. For this purpose, partial differential equations governing dynamics of the system are derived using the Lagrange method. These equations are completely nonlinear and linearization is not performed to avoid possible errors in the analysis and also, the blade is considered as a flexible member. In deriving governing equations, coupling effect between in-plane and out-of-plane vibrations of the blade, and effect of centrifugal forces and gravity are considered. In order to reduce vibration of the blade, a tuned mass damper is used and its parameters are optimized using one of the genetic algorithm methods for a real blade sample. Finally, with applying wind force as a sweep sine excitation, effectiveness of the optimized tuned mass damper in vibration reduction of the blade is investigated and the related results are presented. Results show that the wind turbine blade vibration reduction is achieved properly using the optimally tuned mass damper.

Keywords

Main Subjects

References

[1]  J. Leary, A. While, and R. Howell, Locally manufactured wind power technology for sustainable rural electrification, Energy Policy, 43 (2012) 173– 183.
[2]  Y. Qiao, J. Han, C. Zhang, J. Chen, and K. Yi, Finite element analysis and vibration  suppression  control of smart wind turbine blade, Applied Composit Materials, 19(3–4) (2012) 747–754.
[3]  S. Krenk, M. N. Svendsen, and J. Høgsberg, Resonant Vibration Control of Three-Bladed Wind Turbine Rotors, AIAA Journal, 50(1) (2012) 148–161.
[4]  Z. Zhang, A. Staino, B. Basu, and S. R. K. Nielsen, Performance evaluation of full-scale tuned liquid dampers (TLDs) for vibration control of large wind turbines using real-time hybrid testing, Engineering Structure, 126 (2016) 417–431.
[5]  J. Chen, C. Yuan, J. Li, and Q. Xu,  Semi-active fuzzy control of edgewise vibrations in wind turbineblades, Journal of Wind Engineering and Industrial Aerodynamics, 147 (2015) 251–261
[6] W. P. Targoff, The associated matrices of bending and coupled bending-torsion vibrations, Journal of the  Aeronaut Sciences, 14(10) (1947) 579–582.
[7]  F. Sakai, Tuned liquid column damper-new type device for suppression of building vibration, In: Proceedings of the first International Conference on High-rise Buildings, 1989.
[8] W.WangandB.Wang,PassiveControlofaPentapod Offshore Wind Tubine Under Earthquakes, In: Proceedings of the ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering, Trondheim, Norway, 2017.
[9]  A. Staino, B. Basu, and S. R. K. Nielsen, Actuator control of edgewise vibrations in wind turbine blades, Journal of Sound and Vibration, 331(6) (2012) 1233– 1256.
[10]  T. Ikeda, Y. Harata, Y. Sasagawa, and Y. Ishida, Vibration Suppression of Wind Turbine Blades, In: Proceedings of the ASME 2014 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, Buffalo, New York, USA, 2014.
[11]  H. Biglari and V. Fakhari, Edgewise Vibration Reduction of a Small-Scale Wind Turbine Blade Using an Optimal Tuned Mass Damper. In: Proceedings of the 8th International Conference on Acoustics and Vibration, Shahid Beheshti University, Tehran, Iran, 2018 (In Persian).
[12]  Z. Zhang, J. Li, S. R. K. Nielsen, and B. Basu, Mitigation of edgewise vibrations in wind turbine blades by means of roller dampers, Journal of Sound and Vibration, 333(21) (2014) 5283–5298.
[13]  F. Sadek, B. Mohraz, A. W. Taylor, and R. M. Chung, A method of estimating the parameters of  tuned  mass dampers for seismic applications, Earthquake Engineering & Structural Dynamics, 26(6) (1997) 617–635.
[14]   K. Deb, A. Pratap, S. Agarwal, and T. Meyarivan,  A fast and elitist multiobjective genetic algorithm: NSGA-II, IEEE Transactions in Evolutionary Computation, 6(2) (2002) 182–197.
[15]  Z. L. Zhang and S. R. K. Nielsen, Edgewise vibration control of wind turbine blades using roller and liquid dampers, Journal of Physics: Conference Series, 524 (2014) 1-10.
Amirkabir Journal of Mechanical Engineering
Volume 52, Issue 8
November 2020
Pages 2261-2276

Files

Share

How to cite

Statistics