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Numerical analysis of the spatial distribution of equivalent wind speeds in large-scale wind turbines

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Abstract

The effects of wind shear and the tower shadow contribute to periodic fluctuations in the wind speed and aerodynamic torque, which cause several problems. This study develops an equivalent wind speed model for large-scale, n-bladed wind turbines that includes the wind shear and the tower shadow effects. The comprehensive model is used to derive the disturbance components of wind speed caused by wind shear, the tower shadow, their synthesis, and the equivalent wind speed and to delineate their spatial distributions in the rotor disk area. Simulation results reveal that the effects of wind shear, the tower shadow, and the equivalent wind speed on the disturbance components fluctuate periodically and are closely related to the wind turbine correlation parameters, such as the rotor radius, hub center height, tower radius, distance from the tower midline to the blade, wind shear exponent, and blade number.

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References

  1. T. Burton, N. Jenkins, D. Sharpe and E. Bossanyi, Wind Energy Handbook, Second Ed., John Wiley & Sons Ltd.: Chichester, UK (2011).

    Book  Google Scholar 

  2. D. S. L. Dolan and P. W. Lehn, Simulation model of wind turbine 3p torque oscillations due to wind shear and tower shadow, IEEE Trans. Energy Convers, 21 (3) (2006) 717–724.

    Article  Google Scholar 

  3. J. Tan, W. H. Hu, X. R. Wang and Z. Chen, Effect of tower shadow and wind shear in a wind farm on AC Tie-Line power oscillations of interconnected power systems, Enegies, 6 (2013) 6352–6372.

    Google Scholar 

  4. N. Goudarzi and W. D. Zhu, A review on the development of wind turbine generators across the world, International Journal of Dynamics and Control, 1 (2) (2013) 192–202.

    Article  Google Scholar 

  5. M. Jelavic, V. Petrovic and N. Peric, Estimation based individual pitch control of wind turbine, AUTOMATIKA J. Control Meas. Electron. Comput. Commun., 51 (2) (2010) 181–192.

    Google Scholar 

  6. S. Kausihan, Individual Pitch control for large scale wind turbines, Energy research Centre of the Netherlands (ECN), Technology Report (2007).

    Google Scholar 

  7. M. Jacopo, A. Athanasia, W. Justin, K. Christian and G. Rémi, Pure Power -Wind energy targets for 2020 and 2030, European Wind Energy Association (EWEA), Technology Report (2011).

    Google Scholar 

  8. L. X. Hong and B. Möller, Offshore wind energy potential in China: under technical, spatial and economic constraints, Energy, 36 (7) (2011) 4482–4491.

    Article  Google Scholar 

  9. B. Möller, L. X. Hong, R. Lonsing and F. Hvelplund, Evalution of offshore wind resources by scale of development, Energy, 48 (1) (2012) 314–322.

    Article  Google Scholar 

  10. A. Sarah et al., Upwind -Design limits and solutions for very large wind turbines, European Commission Sixth Framework research program, European Wind Energy Association (EWEA), Technology Report (2011).

    Google Scholar 

  11. Z. G. Kong, J. Wang and Y. G. Kong, Effects of design parameters on wind speed for large three-bladed upwind horizontal axis wind turbine, Journal of Theoretical and Applied Information Technology, 45 (1) (2012) 109–116.

    Google Scholar 

  12. A. J. Eggers, R. Digumarthi and K. Chaney, Wind shear and turbulence effects on rotor fatigue and loads control, Journal of Solar Energy Engineering, 125 (4) (2003) 402–409.

    Article  Google Scholar 

  13. A. J. Eggers, K. Chaney and R. Digumarthi, Further studies of rotor loads control in highly sheared turbulent winds, Proc. of the 42nd AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA (2004).

    Google Scholar 

  14. A. J. Eggers, K. Chaney and R. Digumarthi, An exploratory study of motion and loads on large flap-hinged rotor blades, Proc. of the 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, USA (2005).

    Google Scholar 

  15. N. Kelley et al., Lamar low-level jet project interim report, National Renewable Energy Laboratory (NREL) and National Center for Atmospheric Research (NCAR), Technology Report (2004).

    Google Scholar 

  16. R. Fadaeinedjad, G. Moschopoulos and M. Moallem, The impact of tower shadow, yaw error, and wind shears on power quality in a wind-diesel system, IEEE Trans. Energy Convers, 24 (1) (2009) 102–111.

    Article  Google Scholar 

  17. W. H. Hu, C. Su and Z. Chen, Impact of wind shear and tower shadow effects on power system with large scale wind power penetration, Proc. of the 37th Annual Conference on IEEE Industrial Electronics Society, Melbourne, Australia (2011) 878–883.

    Google Scholar 

  18. M. R. Elkinton, A. L. Rogers and J. G. McGowan, An investigation of wind-shear models and experimental data trends for different terrains, Wind Engineering, 30 (4) (2006) 341–350.

    Article  Google Scholar 

  19. S. Rehman and N. M. Al-Abbadi, Wind shear coefficients and their effect on energy production, Energy Conversion and Management, 46 (2005) 2578–2591.

    Article  Google Scholar 

  20. S. Rehman and N. M. Al-Abbadi, Wind shear coefficients and energy yield for Dhahran, Saudi Arabia, Renewable Energy, 32 (5) (2007) 738–749.

    Article  Google Scholar 

  21. S. Rehman and N. M. Al-Abbadi, Wind shear coefficient, turbulence intensity and wind power potential assessment for Dhulom, Saudi Arabia, Renewable Energy, 33 (12) (2008) 2653–2660.

    Article  Google Scholar 

  22. V. Bulaevskaya, S. Wharton, A. Clifton, G. Qualley and W. O. Miller, Wind power curve modeling in complex terrain using statistical models, Journal of Renewable and Sustainable Energy, 7, 013103 (2015) 1–24.

    Google Scholar 

  23. X. Shen, X. C. Zhu and Z. H. Du, Wind turbine aerodynamics and loads control in wind shear flow, Energy, 36 (2011) 1424–1434.

    Article  Google Scholar 

  24. D. S. Chavan, A. Rana, M. R. Singh, S. S. Deo and P. B. Karandikar, Computation of flicker due to vertical wind shear in a wind turbine sited on a hill using wind tunnel, Proc. of the IEEE 8th International Power Engineering and Optimization Conference, Langkawi, The Jewel of Kedah, Malaysia (2014) 231–236.

    Google Scholar 

  25. D. McSwiggan, T. Littler, D. J. Morrow and J. Kennedy, A study of tower shadow effect on fixed-speed wind turbines, Proc. of the 43rd International Universities Power Engineering Conference, Padova, Italy (2008) 1–5.

    Google Scholar 

  26. F. M. Hughes, O. Anaya-Lara, G. Ramtharan, N. Jenkins and G. Strbac, Influence of tower shadow and wind turbulence on the performance of power system stabilizers for DFIG-based wind farms, IEEE Trans. Energy Convers, 23 (2) (2008) 519–528.

    Article  Google Scholar 

  27. J. D. M. De Kooning, T. L. Vandoorn, V. J. de Vyver, B. Meersman and L. Vandevelde, Shaft speed ripples in wind turbines caused by tower shadow and wind shear, IET Renewable Power Generation, 8 (2) (2014) 195–202.

    Article  Google Scholar 

  28. A. Burlibaşa, Wind speed modelling for large wind turbines: interacting with tower and blades dynamics, Proc. of the IEEE 16th International Conference on System Theory, Control and Computing (ICSTCC), Sinaia, Romania (2012) 1–6.

    Google Scholar 

  29. S. T. Wan, L. F. Cheng and X. L. Sheng, Effects of yaw error on wind turbine running characteristics based on the equivalent wind speed model, Energies, 8 (2015) 6286–6301.

    Article  Google Scholar 

  30. S. C. Gupta, Fluid Mechanics and Hydraulic Machines, Pearson Education: Noida, India (2006).

    Google Scholar 

  31. E. Hau, Wind turbines: Fundamentals, Technologies, Application, Economics, Second Ed., Springer: Berlin, Germany (2005).

    Google Scholar 

  32. J. Ribrant and L. Bertling, Survey of failures in wind power systems with focus on Swedish wind power plants during 1997-2005, IEEE Trans. Energy Convers, 22 (1) (2007) 167–173.

    Article  Google Scholar 

  33. B. Cristian, Modeling Lifetime of high power IGBTs in wind power applications—An overview, Proc. of the IEEE International Symposium on Industrial Electronics, Gdansk, Poland (2011) 1408–1413.

    Google Scholar 

  34. M. S. Jeong, S. J. Yoo and I. Lee, Aeroelastic analysis for large wind turbine rotor blades, Proc. of the 52nd AIAA/ASME/ASCE/AHS/ASC structures, Structural Dynamics, and Materials Conference, Denver, Colorado, USA (2011).

    Google Scholar 

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Author information

Authors and Affiliations

  1. School of Energy Power and Mechanical Engineering, North China Electric Power University, Baoding, 071003, China

    Shuting Wan & Lifeng Cheng

  2. Department of Electrical Engineering, North China Electric Power University, Baoding, 071003, China

    Xiaoling Sheng

Authors
  1. Shuting Wan
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  2. Lifeng Cheng
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  3. Xiaoling Sheng
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Corresponding author

Correspondence to Lifeng Cheng.

Additional information

Recommended by Associate Editor Tong Seop Kim

Shuting Wan is a Professor and doctorial tutor at the School of Energy Power and Mechanical Engineering, North China Electric Power University. His research areas are operation characteristics and condition monitoring technology of wind turbine.

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Wan, S., Cheng, L. & Sheng, X. Numerical analysis of the spatial distribution of equivalent wind speeds in large-scale wind turbines. J Mech Sci Technol 31, 965–974 (2017). https://doi.org/10.1007/s12206-017-0149-6

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  • DOI: https://doi.org/10.1007/s12206-017-0149-6

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