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Final report for WP4.3: Enhancement of design methods ... - Upwind

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Figure 5.4: Annual reliability indices obtained by the SN-approach and a fracture mechanics model (calibrated).<br />

Further, it is assumed that inspections are per<strong>for</strong>med with three different levels <strong>of</strong> reliability modelled by<br />

exponential POD curves with λ = 2, 5 and 10 mm (surface cracks lengths). The inspections are assumed<br />

to be per<strong>for</strong>med with equidistant times, see Figure 5.3.<br />

Table 5.21 to Table 5.25 show required FDF values <strong>for</strong> cases with wind / wave loads only, single wind turbine<br />

/ wind farm and linear / bi-linear SN-curves. It is assumed that ∆βmin,FAT = 3.5 and PCOL|FAT =1. It is<br />

seen that significant reductions in required FDF values can be obtained if a good inspection quality is used<br />

and e.g. 3 inspections are per<strong>for</strong>med during the <strong>design</strong> lifetime.<br />

The costs <strong>of</strong> inspections and possible repairs should be compared to the cost reductions in the initial material<br />

costs due to lower FDF values. It is noted that due to correlations between similar fatigue critical details<br />

in substructures in wind farms in<strong>for</strong>mation from inspection <strong>of</strong> one substructure can be used to update<br />

the reliability assessment <strong>of</strong> nearby substructures.<br />

The results in this section can be considered as representative, but more examples should be considered<br />

be<strong>for</strong>e implementation in standards. Especially examples where both wind and wave loads are important<br />

should be investigated.<br />

Table 5.21: Required FDF and corresponding partial safety factors γf γm in ( ). Single wind turbine and linear SNcurve<br />

(m = 3). Wind load only.<br />

POD: λ λ 2 mm 5 mm 10 mm<br />

No inspections<br />

1 inspection 1.92<br />

(1.24)<br />

2 inspections 1.65<br />

(1.18)<br />

3 inspections 1.46<br />

(1.13)<br />

50<br />

2.15<br />

(1.29)<br />

1.94<br />

(1.25)<br />

1.82<br />

(1.22)<br />

2.20<br />

(1.30)<br />

2.11<br />

(1.28)<br />

2.05<br />

(1.27)<br />

2.27<br />

(1.31)<br />

Table 5.22: Required FDF and corresponding partial safety factors γf γm in ( ). Wind farm and linear SN-curve (m =<br />

3). Wind load only.<br />

POD: λ λ 2 mm 5 mm 10 mm<br />

No inspections<br />

1 inspection 2.15 2.40 2.49<br />

(1.29) (1.34) (1.36)<br />

2 inspections 1.83 2.17 2.35<br />

2.54<br />

(1.37)

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