Wind and Structures

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Along-wind simplified analysis of wind turbines through a coupled blade-tower model

  • Spagnoli, Andrea (Department of Civil-Environmental Engineering and Architecture, University of Parma) ;
  • Montanari, Lorenzo (Department of Civil-Environmental Engineering and Architecture, University of Parma)
  • Received : 2012.04.26
  • Accepted : 2013.05.22
  • Published : 2013.12.25
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Abstract

A model is proposed to analyse the along-wind dynamic response of upwind turbines with horizontal axis under service wind conditions. The model takes into account the dynamic coupling effect between rotor blades and supporting tower. The wind speed field is decomposed into a mean component, accounting for the well-known wind shear effect, and a fluctuating component, treated through a spectral approach. Accordingly, the so-called rotationally sampled spectra are introduced for the blades to account for the effect of their rotating motion. Wind forces acting on the rotor blades are calculated according to the blade element momentum model. The tower shadow effect is also included in the present model. Two examples of a large and medium size wind turbines are modelled, and their dynamic response is analysed and compared with the results of a conventional static analysis.

Keywords

References

  1. Bak, C., Madsen, A.H. and Johansen, J. (2001), "Influence from blade-tower interaction on fatigue loads and dynamics", Proceedings of the 2001 European wind energy conference and exhibition, Copenhagen, July.
  2. Buhl, M.L. Jr. (2004), A new empirical rlationship between trust coefficient and induction factor for the turbulent windmill state, NREL/TP-500-36834. Golden, CO: National Renewable Energy Laboratory.
  3. Chen, X., Li, J. and Chen, J. (2009), "Wind-induced response analysis of a wind turbine tower including the blade-tower coupling effect", J. Zhejiang University, 10(11), 1573-1580. https://doi.org/10.1631/jzus.A0820750
  4. Chopra, A.K. (1995), Dynamics of structures, Theory and Applications to Earthquake Engineering, Prentice Hall, Englewood Cliffs, NJ.
  5. Connell, J.R. (1980), Turbulence spectrum observed by a fast-rotating wind turbine blade, Technical report PNL-3426[R], Richland, WA: Batelle Pacific Northwest Laboratory.
  6. Connell, J.R. (1981), The spectrum of wind speed fluctuations encountered by a rotating blade of a wind energy conversion system, Technical report PNL-4083[R], Richland, WA: Batelle Pacific Northwest Laboratory.
  7. Cook, R.D., Malkus, D.S. and Plesha, M.E. (1989), Concepts and applications of the finite element analysis, John Wiley & Sons, New York.
  8. Dai, J.C., Hu, Y.P., Liu, D.S. and Long, X. (2011), "Aerodynamic loads calculation and analysis for large scale wind turbine based on combining BEM modified theory with dynamic stall model", Renew. Energ., 36, 1095-1104. https://doi.org/10.1016/j.renene.2010.08.024
  9. Davenport, A.G. (1967), "The dependence of wind load upon meteorological parameters", Proceedings of the International Research Seminar on Wind Effects on Buildings and Structures, Ottawa, September.
  10. FAST (2013), NWTC design codes FAST, Golden, CO.
  11. Glauert, H. (1935), Airplane Propellers, Aerodynamic Theory, (Ed. W. F. Durand), Berlin.
  12. Hansen, M.O.L., Sørensen, J.N., Voutsinas, S., Sørensen, N. and Madsen, H.A. (2006), "State of the art in wind turbine aerodynamics and aeroelasticity", Prog. Aerosp. Sci., 42(4), 285-330. https://doi.org/10.1016/j.paerosci.2006.10.002
  13. Maniaci, D.C. (2011), "An investigation of WT perf convergence issues", Proceedings of the 49th AIAA Aerospace Sciences Meeting and Exhibit, Orlando, FL, January.
  14. Murtagh, P.J., Basu, B. and Broderick, B.M. (2005), "Along-wind response of a wind turbine tower with blade coupling subjected to rotationally sampled wind loading", Eng. Struct., 27(8), 1209-1219. https://doi.org/10.1016/j.engstruct.2005.03.004
  15. Naguleswaran, S. (1994), "Lateral vibration of a centrifugally tensioned uniform Euler-Bernoulli beam", J. Sound Vib., 176(5), 613-624. https://doi.org/10.1006/jsvi.1994.1402
  16. Powell, D.C., Connell, J.R. and George, R.L. (1985), Verification of theoretically computed spectra for a point rotating in a vertical plane, Technical report PNL-5440[R]. Richland, WA: Battelle Pacific Northwest Laboratory.
  17. Powell, D.C. and Connell, J.R. (1986), Review of wind simulation methods for horizontal-axis wind turbine analysis, Technical report PNL-5903[R]. Richland, WA: Battelle Pacific Northwest Laboratory.
  18. Shen, W.Z., Mikkelsen, R., Sørensen, J.N. and Bak, C. (2005), "Tip loss corrections for wind turbine computations", Wind Energy, 8(4), 457-475. https://doi.org/10.1002/we.153
  19. Shinozuka, M. (1971), "Simulation of multivariate and multidimensional random processes", J. Acoust. Soc. Am., 49(1-2), 357-368. https://doi.org/10.1121/1.1912338
  20. Shinozuka, M. and Jan, C.M. (1972), "Digital simulation of random process and its application", J. Sound Vib., 25(1), 111-128. https://doi.org/10.1016/0022-460X(72)90600-1
  21. Shinozuka, M., Yun, C.B. and Seya, H. (1990), "Stochastic methods in wind engineering", J. Wind Eng. Ind. Aerod., 36(2), 829-843. https://doi.org/10.1016/0167-6105(90)90080-V
  22. Simiu, E. and Scanlan, R.H. (1996), Wind effects on Structures, John Wiley & Sons, New York.
  23. Sundar, R.M. and Sullivan, J.P. (1983), "Performance of wind turbines in a turbulent atmosphere", Sol. Energy, 31, 567-575. https://doi.org/10.1016/0038-092X(83)90173-1
  24. Veers, P.S. (1984), Modeling stochastic wind loads on vertical - axis turbines, SAND83-1909, Sandia National Laboratories, Albuquerque, NM.
  25. Yang, J.N. (1972), "Simulation of random envelope processes", J. Sound Vib., 25(1), 73-85.
  26. Yang, J.N. (1973), "On the normality and accuracy of simulated random processes", J. Sound Vib., 26(3), 417-428. https://doi.org/10.1016/S0022-460X(73)80196-8

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