In the present paper, methods for statistical load extrapolation of wind-turbine response are studied using a stationary Gaussian process model, which has approximately the same spectral properties as the response for the out-of-plane bending moment of a wind-turbine blade. For a Gaussian process, an approximate analytical solution for the distribution of the peaks is given by Rice. In the present paper, three different methods for statistical load extrapolation are compared with the analytical solution for one mean wind speed. The methods considered are global maxima, block maxima, and the peak over threshold method with two different threshold values. The comparisons show that the goodness of fit for the local distribution has a significant influence on the results, but the peak over threshold method with a threshold value on the mean plus 1.4 standard deviations generally gives the best results. By considering Gaussian processes for 12 mean wind speeds, the “fitting before aggregation” and “aggregation before fitting” approaches are studied. The results show that the fitting before aggregation approach gives the best results.
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May 2011
Research Papers
Assessment of Load Extrapolation Methods for Wind Turbines
Henrik Stensgaard Toft,
Henrik Stensgaard Toft
Department of Civil Engineering,
Aalborg University
, Sohngaardsholmsvej 57, 9000 Aalborg, Denmark
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John Dalsgaard Sørensen,
John Dalsgaard Sørensen
Professor
Department of Civil Engineering,
Aalborg University
, Sohngaardsholmsvej 57, 9000 Aalborg, Denmark; Wind Energy Division, Risø-DTU
, Frederiksborgvej 399, 4000 Roskilde, Denmark
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Dick Veldkamp
Dick Veldkamp
Senior Specialist
Vestas Technology R&D
, Global Research, c/o Vestas Central Europe, P.O. Box 208, 6800 AE Arnhem, The Netherlands
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Henrik Stensgaard Toft
Department of Civil Engineering,
Aalborg University
, Sohngaardsholmsvej 57, 9000 Aalborg, Denmark
John Dalsgaard Sørensen
Professor
Department of Civil Engineering,
Aalborg University
, Sohngaardsholmsvej 57, 9000 Aalborg, Denmark; Wind Energy Division, Risø-DTU
, Frederiksborgvej 399, 4000 Roskilde, Denmark
Dick Veldkamp
Senior Specialist
Vestas Technology R&D
, Global Research, c/o Vestas Central Europe, P.O. Box 208, 6800 AE Arnhem, The NetherlandsJ. Sol. Energy Eng. May 2011, 133(2): 021001 (8 pages)
Published Online: February 23, 2011
Article history
Received:
January 18, 2010
Revised:
October 29, 2010
Online:
February 23, 2011
Published:
February 23, 2011
Citation
Toft, H. S., Sørensen, J. D., and Veldkamp, D. (February 23, 2011). "Assessment of Load Extrapolation Methods for Wind Turbines." ASME. J. Sol. Energy Eng. May 2011; 133(2): 021001. https://doi.org/10.1115/1.4003416
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