Aerodynamic Damping and Seismic Response of Horizontal Axis Wind Turbine Towers
Publication: Journal of Structural Engineering
Volume 140, Issue 11
Abstract
Aerodynamic damping has an important effect on the seismic response of horizontal axis wind turbines (HAWTs). Some researchers have estimated that aerodynamic damping in operational HAWTs is of critical in the fore-aft direction (i.e., perpendicular to the rotor and parallel to the prevailing wind). In most recent studies, dynamic analyses of HAWT towers under seismic loads have neglected aerodynamic damping, and this assumption has significant implications in the predicted seismic response. This paper presents a closed-form solution for the aerodynamic damping of HAWTs responding dynamically in the fore-aft and side-to-side directions. The formulation is intended as a convenient method for structural earthquake engineers to include the effect of aerodynamic damping in the seismic analysis of HAWTs. The formulation is based on blade element momentum theory and is simplified by assuming a rigid rotor subjected to a steady and uniform wind oriented perpendicular to the rotor plane. This paper examines the impact of these simplifying assumptions with an analysis of the 1.5-MW baseline HAWT developed by the National Renewable Energy Laboratory (NREL). The analysis compares predictions from this formulation with those from FAST, an open-source program developed by NREL, and the comparison shows a reasonable correlation. Finally, the influence of aerodynamic damping on the seismic response of a HAWT is demonstrated for a dynamic model, and the practical implications of the results are discussed.
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Acknowledgments
The authors gratefully acknowledge Northeastern University and National Science Foundation Grant CMMI-1234560 for supporting this research.
References
ASCE. (2010). “Minimum design loads for buildings and other structures.” ASCE/SEI 7-10, Reston, VA.
ASCE. (2011). “Recommended practice for compliance of large land-based wind turbine support structures.” ASCE/AWEA RP2011, Reston, VA.
Bazeos, N. (2002). “Static, seismic and stability analyses of a prototype wind turbine steel tower.” Eng. Struct., 24(8), 1015–1025.
Chopra, A. K. (2011). Dynamics of structures: Theory and applications to earthquake engineering, 4th Ed., Pearson/Prentice Hall, Upper Saddle River, NJ.
Dept. of Energy (DOE). (2012). “Installed wind capacity.” 〈http://www.windpoweringamerica.gov〉 (Jul. 9, 2013).
Federal Emergency Management Agency (FEMA). (2005). “Improvement of nonlinear static seismic analysis procedures.”, Washington, DC.
Garrad, A. D. (1990). “Forces and dynamics of horizontal axes wind turbines.” Wind energy conversion systems, L. L. Freris, ed., Prentice-Hall, New York, 119–142.
Glauert, H. (1976). “Airplane propellers.” Aerodynamic theory, L. Div, ed., Springer, Berlin.
Hansen, M. H., Thomsen, K., and Fuglsang, P. (2006). “Two methods for estimating aero-elastic damping of operational wind turbine modes from experiments.” Wind Energy, 9(1–2), 179–191.
International Electrotechnical Commission (IEC). (2005). “Wind turbines—Part 1: Design requirements.”, 3rd Ed., Geneva.
Kuhn, M. (2001). “Dynamics and design optimisation of offshore wind energy conversion systems.” Ph.D. thesis, DUWIND Delft Univ., Wind Energy Research Institute, Delft, Netherlands.
Lavassas, I., Nikolaidis, G., Zervas, P., Efthimiou, E., Doudoumis, I., and Baniotopoulos, C. C. (2003). “Analysis and design of the prototype of a steel 1-MW wind turbine tower.” Eng. Struct., 25(8), 1097–1106.
Malcolm, D. J., and Hansen, A. C. (2002). “WindPACT turbine rotor design study: June 2000 - June 2002.”, National Renewable Energy Laboratory, Golden, CO.
Manwell, J. F., McGowan, J. G., and Roger, A. L. (2002). Wind energy explained: Theory, design and application, Wiley, Chichester, West Sussex, U.K.
National Wind Technology Center (NWTC). (2013). “Computer-aided engineering tools—FAST: An aeroelastic computer-aided engineering (CAE) tool for horizontal axis wind turbines.” NWTC information portal, 〈http://wind.nrel.gov/designcodes/simulators/fast〉 (Jul. 12, 2013).
Nuta, E., Christopoulos, C., and Packer, J. A. (2011). “Methodology for seismic risk assessment for tubular steel wind turbine towers: Application to Canadian seismic environment.” Can J. Civ. Eng., 38(3), 293–304.
Petersen, J. T., Madsen, H. A., Bjork, A., Enevoldsen, P., Ganander, H., and Winkelaar, D. (1998). “Prediction of dynamic loads and induced vibrations in stall.”, Riso National Laboratory, Roskilde, Denmark.
Prowell, I. (2011). “An experimental and numerical study of wind turbine seismic behavior.” Ph.D. dissertation, Univ. of California, San Diego.
Prowell, I., Veletzos, M., Elgamal, A., and Restrepo, J. (2009). “Experimental and numerical seismic response of a 65 kW wind turbine.” J. Earthquake Eng., 13(8), 1172–1190.
Salzmann, C. D., and Tempel, J. (2005). “Aerodynamic damping in the design of support structures for offshore wind turbines.” Proc., Offshore Wind Energy Conf, Copenhagen, Denmark.
Simiu, E. (2011). Design of buildings for wind: A guide for ASCE 7-10 standard users and designers of special structures, 2nd Ed., Wiley, Hoboken, NJ.
Thomsen, K., Peterson, J. T., and Nim, E. (2000). “A method for determination of damping for edgewise blade vibrations.” Wind Energy, 3(4), 233–246.
Witcher, D. (2005). “Seismic analysis of wind turbines in the time domain.” Wind Energy, 8(1), 81–91.
World Wind Energy Association (WWEA). (2012). “2011: Report.” 〈http://www.wwindea.org/webimages/WorldWindEnergyReport2011.pdf〉 (Jul. 9, 2013).
World Wind Energy Association (WWEA). (2013). “2012: Half-year report.” 〈http://www.wwindea.org〉 (Jul. 9, 2013).
Xiong, L., Xianmin, Z., Gangqiang, L., Yan, C., and Zhiquan, Y. (2010). “Dynamic response analysis of the rotating blade of horizontal axis wind turbine.” Wind Eng., 34(5), 543–560.
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© 2014 American Society of Civil Engineers.
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Received: Aug 2, 2012
Accepted: Dec 2, 2013
Published online: May 29, 2014
Discussion open until: Oct 29, 2014
Published in print: Nov 1, 2014
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