When interest is in establishing ultimate design loads for wind turbines such that a service life of, say, 20 years is assured, alternative procedures are available. One class of methods works by employing statistical loads extrapolation techniques following development first of 10-minute load maxima distributions (conditional on inflow parameters such as mean wind speed and turbulence intensity). The parametric conditional load distributions require extensive turbine response simulations over the entire inflow parameter range. We will refer to this first class of methods as the “parametric method.” An alternative method is based on traditional structural reliability concepts and isolates only a subset of interesting inflow parameter combinations that are easily first found by working backward from the target return period of interest. This so-called inverse reliability method can take on various forms depending on the number of variables that are modeled as random. An especially attractive form that separates inflow (environmental) variables from turbine load∕response variables and further neglects variability in the load variables given inflow is referred to as the environmental contour (EC) method. We shall show that the EC method requires considerably smaller amounts of computation than the parametric method. We compare accuracy and efficiency of the two methods in 1- and 20-year design out-of-plane blade bending loads at the root of two 1.5 MW turbines. Simulation models for these two turbines with contrasting features, in that one is stall-regulated and the other pitch-regulated, are used here. Refinements to the EC method that account for the effects of the neglected response variability are proposed to improve the turbine design load estimates.

1.
Madsen
,
P. H.
,
Pierce
,
K.
, and
Buhl
,
M.
, 1999, “
Predicting Ultimate Loads for Wind Turbine Design
,”
Proceedings of the ASME Wind Energy Symposium
, January 11–14,
AIAA
,
Reno, NV
, pp.
355
364
.
2.
Larsen
,
D. C.
,
Ronold
,
K. O.
,
Jorgensen
,
H. E.
,
Argyriadis
,
K.
, and
de Boer
,
J.
, 1999, “
Ultimate Loading of Wind Turbines
,” Risø-R-1111, Risø National Laboratory, Røskilde, Denmark.
3.
Ronold
,
K. O.
, and
Larsen
,
G. C.
, 2000, “
Reliability-Based Design of Wind-Turbine Rotor Blades Against Failure in Ultimate Loading
,”
Eng. Struct.
0141-0296,
22
, pp.
565
574
.
4.
Fitzwater
,
L. M.
, and
Winterstein
,
S. R.
, 2001, “
Predicting Design Wind Turbine Loads from Limited Data: Comparing Random Process and Random Peak Models
,”
ASME J. Sol. Energy Eng.
0199-6231,
123
, pp.
364
371
.
5.
Manuel
,
L.
,
Veers
,
P. S.
, and
Winterstein
,
S. R.
, 2001, “
Parametric Models for Estimating Wind Turbine Fatigue Loads for Design
,”
ASME J. Sol. Energy Eng.
0199-6231,
123
, pp.
346
355
.
6.
Fitzwater
,
L. M.
,
Winterstein
,
S. R.
, and
Cornell
,
C. A.
, 2002, “
Predicting the Long Term Distribution of Extreme Loads from Limited Duration Data: Comparing Full Integration and Approximate Methods
,”
ASME J. Sol. Energy Eng.
0199-6231,
124
, pp.
378
386
.
7.
Moriarty
,
P. J.
,
Holley
,
W. E.
, and
Butterfield
,
S.
, 2002, “
Effect of Turbulence Variation on Extreme Loads Predition for Wind Turbines
,”
ASME J. Sol. Energy Eng.
0199-6231,
124
, pp.
387
395
.
8.
Moriarty
,
P. J.
,
Holley
,
W. E.
, and
Butterfield
,
S. P.
, 2004, “
Extrapolation of Extreme and Fatigue Loads using Probabilistic Methods
,” NREL∕TP-500-34421.
9.
Peeringa
,
J. M.
, 2003, “
Extrapolation of Extreme Responses of a Multi Megawatt Wind Turbine
,” ECN-C-03-131.
10.
Cheng
,
P. W.
,
van Bussel
,
G. J. W.
, van
Kuik
,
G. A. M.
, and
Vugts
,
J. H.
, 2003, “
Reliability-Based Design Methods to Determine the Extreme Response Distribution of Offshore Wind Turbines
,”
Wind Eng.
0309-524X,
6
, pp.
1
22
.
11.
Winterstein
,
S. R.
,
Ude
,
T. C.
,
Cornell
,
C. A.
,
Bjerager
,
P.
, and
Haver
,
S.
, 1993, “
Environmental Contours for Extreme Response: Inverse FORM with Omission Factors
,”
Proceedings of the International Conference on Structural Safety and Reliability
, August 9–13,
Innsbruck
.
12.
Fitzwater
,
L. M.
,
Cornell
,
C. A.
, and
Veers
,
P. S.
, 2003, “
Using Environmental Contours to Predict Extreme Events on Wind Turbines
,”
Proceedings of the ASME Wind Energy Symposium
, January 6–9,
Reno, NV
, pp.
244
258
.
13.
Saranyasoontorn
,
K.
, and
Manuel
,
L.
, 2004, “
Efficient Models for Wind Turbine Extreme Loads Using Inverse Reliability
,”
J. Wind. Eng. Ind. Aerodyn.
0167-6105,
92
, pp.
789
804
.
14.
Madsen
,
H. O.
, 1998, “
Omission Sensitivity Factors
,”
Struct. Safety
0167-4730,
5
, pp.
35
45
.
15.
Ronold
,
K. O.
,
Wedel-Heinen
,
J.
,
Christensen
,
C. J.
, and
Jorgensen
,
A.
, 1994, “
Reliability-Based Calibration of Partial Safety Factors for Design of Wind Turbine Rotor Blades Against Fatigue
,”
Proceedings 5th European Wind Energy Conference
, October 10–14,
Thessaloniki, Greece
.
16.
Veers
,
P. S.
, and
Winterstein
,
S. R.
, 1997, “
Application of Measured Loads to Wind Turbine Fatigue and Reliability Analysis
,”
Proceedings of the ASME Wind Energy Symposium
, January 6–9,
AIAA
,
Reno, NV
, pp.
160
169
.
17.
Winterstein
,
S. R.
, and
Engebretsen
,
K.
, 1998, “
Reliability-Based Prediction of Design Loads and Responses for Floating Ocean Structures
,”
International Conference on Offshore Mechanics and Arctic Engineering
, July 5–9, Lisbon.
18.
Rosenblatt
,
M.
, 1952, “
Remarks on a Multivariate Transformation
,”
Ann. Math. Stat.
0003-4851,
23
, pp.
470
472
.
19.
IEC
, 1999, “
Wind Turbine Generator System Part 1: Safety Requirements
,” IEC∕TC 88 61400–1, International Electrotechnical Commission (IEC), 2nd ed.
20.
Malcolm
,
D. J.
, and
Hansen
,
A. C.
, 2002, “
WindPACT Turbine Rotor Design Study
,” NREL∕TP-500-34593, Global Energy Concepts LLC and Windward Engineering for the National Renewable Energy Laboratory, Golden, CO, August.
21.
Buhl
,
M. L.
, 2003, “
SNwind User’s Guide
,” National Renewable Energy Laboratory, Golden, CO.
22.
Buhl
,
M. L.
,
Jonkman
,
J. M.
,
Wright
,
A. D.
,
Wilson
,
R. E.
,
Walker
,
S. N.
, and
Heh
,
P.
, 2002, “
FAST User’s Guide
,” NREL∕EL-500-29798, National Renewable Energy Laboratory, Golden, CO.
23.
Efron
,
B.
, and
Tibshirani
,
R. J.
, 1993,
An Introduction to the Bootstrap
,
Chapman & Hall
,
London
.
You do not currently have access to this content.