The fatigue analysis of a wind turbine blade typically depends on converting time-series data to a series of load cycles using one of several cyclic counting algorithms. However, many structural analysis techniques yield frequency-domain stress spectra, and a large body of experimental loads (stress) data is reported in the frequency domain. To permit the fatigue analysis of this class of data, a series of computational algorithms based on Fourier analysis techniques has been developed. The principle underlying these algorithms is the use of an Inverse Fast Fourier Transform (FFT) to transform the frequency spectrum to an equivalent time series suitable for cycle counting. In addition to analyzing the fatigue loads along the primary blade axes, this analysis technique also permits the examination of “off-axis” bending loads. These algorithms, which have been incorporated in the LIFE2 fatigue analysis code for wind turbines, are illustrated and evaluated with data from typical wind turbine blades.

1.
Akins, R. E., 1989, “Rainflow Counting Based on Predicted Stress Spectra,” Eighth ASME Wind Energy Symposium, D. E. Berg and P. C. Klimas, eds., SED-Vol. 7, ASME, New York, p. 131.
2.
Ashwill, T. D., et al., 1987, “The Sandia 34-Meter VAWT Test Bed,” Proceedings of Wind Power ’87, American Wind Energy Association, SERI/CP-217-3315, pp. 298–308.
3.
Coleman, C., and McNiff, B., 1989, “Final Report: Dynamic Response Testing of the Northwind 100 Wind Turbine,” Subcontractor Report, SERI Cooperative Research Agreement #DE-FC02-86CH10311, Solar Energy Research Institute, Golden, CO.
4.
Downing
S. D.
, and
Socie
D. F.
,
1982
, “
Simple Rainflow Counting Algorithms
,”
International Journal of Fatigue
, Vol.
4
, No.
1
, pp.
31
40
.
5.
Jones, R. E., 1980a, FFT Subroutines, Sandia Mathematical Program Library, Ver. 8.1, Albuquerque, NM (based on the algorithms developed by N. M. Brenner, MIT Lincoln Lab, and Cooley, Lewis, and Welsh, IBM).
6.
Jones, R. E., 1980b, “Random Number Generator,” Sandia Mathematical Program Library, Albuquerque, NM.
7.
Malcolm, D. J., 1990, “Predictions of Peak Fatigue Stresses in a Darrieus Rotor Wind Turbine Under Turbulent Winds,” Ninth ASME Wind Energy Symposium, D. E. Berg, ed., SED-Vol. 9, ASME, New York, pp. 125–135.
8.
Ramirez, R. W., 1985, The FFT, Fundamentals and Concepts, Prentice-Hall, Englewood Cliffs, NJ.
9.
Sutherland, H. J., 1992, “Frequency-Domain Stress Prediction Algorithm for the LIFE2 Fatigue Analysis Code,” Eleventh ASME Wind Energy Symposium, P. S. Veers and S. Hock, eds., SED-Vol. 12, ASME, New York, pp. 107–113.
10.
Sutherland, H. J., 1993, “Effect of the Flap and Edgewise Bending Moment Phase Relationships on the Fatigue Loads of a Typical HAWT,” Wind Energy—1993, S. Hock, ed., SED-Vol. 14, ASME, New York, pp. 181–187.
11.
Sutherland, H. J., and Linker R. L., 1993 “User’s Guide for the Frequency Domain Algorithms in the LIFE2 Fatigue Analysis Code,” SAND93-1900, Sandia National Laboratories, Albuquerque, NM.
12.
Sutherland, H. J., and Osgood, R. M., 1992, “Frequency-Domain Synthesis of the Fatigue Load Spectrum for the NPS 100-kW Wind Turbine,” Proceedings of WindPower ’92, American Wind Energy Association, Washington, DC, pp. 321–328.
13.
Sutherland, H. J., and Schluter, L. L., 1989, “The LIFE2 Computer Code, Numerical Formulation and Input Parameters,” Proceedings of WindPower ’89, SERI/TP-257-3628, pp. 37–42.
14.
Sutherland, H. J., and Schluter, L. L., 1990, “Fatigue Analysis of WECS Components Using a Rainflow Counting Algorithm,” Proceedings of Windpower ’90, American Wind Energy Association, Washington, DC, pp. 85–92.
15.
Thresher, R. W., Hock, S. M., and Osgood, R. M., 1992, “Data Record Length Effects on Rainflow Analysis,” Eleventh ASME Wind Energy Symposium, P. S. Veers and S. Hock, eds., SED-Vol. 11, ASME, New York, p. 117.
16.
Timoshenko, S., 1955, Strength of Materials, C. Van Nostrand Co., Princeton, NJ.
17.
Veers, P. S., 1989, “Simplified Fatigue Damage and Crack Growth Calculations for Wind Turbines,” Eighth ASME Wind Energy Symposium, D. E. Berg and P. C, Klimas, eds., SED-Vol. 7, ASME, New York, pp. 133–140.
18.
Winterstein, S. R., and Lange, C. H., 1995, “Load Models for Fatigue Reliability from Limited Data,” Wind Engry 1995, W. D. Musial, S. M. Hock, and D. E. Berg, eds., SED-Vol. 16, ASME, New York, pp. 73–81.
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