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20 W. Bierbooms and D. Veldkamp<br />

Table 3.1. Relative mean equivalent flap moment range (calculated divided by<br />

measured; 100 = perfect correspondence) and relative standard deviation σ<br />

<strong>Wind</strong> speed (ms −1 ) 11.4 14.7 19.5<br />

0 constraints 87 (σ=4) 108 (σ=5) 107 (σ=4)<br />

1 constraint 92 (σ=4) 103 (σ=4) 109 (σ=3)<br />

3 constraints 92 (σ=3) 104 (σ=5) 112 (σ=3)<br />

higher frequency phenomena. Even so, these comparisons are useful, for example<br />

it can be seen from Fig. 3.5 that apparently the pitch controller in the<br />

calculations is more “nervous” than the actual pitch system.<br />

How good the load prediction is, is measured with the fatigue damage<br />

equivalent load. In Table 3.1 some results are given. Each selected measured<br />

10 min. period was reproduced 20 times, respectively without constraint, and<br />

with wind constrained in 1 and 3 points. Mean and standard deviation of<br />

calculated load ranges are normalized by the measured load range. There is<br />

some improvement here and there, but on the whole it is not convincing. From<br />

the lack of improvement it must be concluded that the fatigue loads are mainly<br />

determined by high frequency wind variation, while the constraints only fix<br />

the low frequency wind (as can be seen in Figs. 3.3 and 3.5). We stress that at<br />

present it cannot be established whether this conclusion has general validity,<br />

because the limited number of load cases that were investigated.<br />

3.6 Conclusion<br />

If the method of constrained wind is used in load verification, the low frequency<br />

part of the wind and turbine loading can be reproduced well, which<br />

makes it possible to compare time traces directly. From the three load cases<br />

investigated here, it appeared that there was no improvement in predicted fatigue<br />

damage equivalent load ranges. However, more work is needed to verify<br />

this conclusion.<br />

References<br />

1. Wim Bierbooms, Simulation of stochastic wind fields which encompass measured<br />

wind speed series – enabling time domain comparison of simulated and measured<br />

wind turbine loads, EWEC, London, 2004

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