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Boundary-layer height detection with a ceilometer at a coastal ... - Orbit

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increases from 19:00–20:00. A residual <strong>layer</strong> is visible from 19:00 <strong>at</strong> ∼500 m. The four different<br />

BLH <strong>detection</strong> methods show very similar BLH estim<strong>at</strong>es <strong>at</strong> ∼1100 m from midnight<br />

to 4:00. The BLH estim<strong>at</strong>es show a generally decreasing <strong>height</strong> from 4:00–20:00, whereafter<br />

the BLHs are ∼200 m.<br />

All d<strong>at</strong>a 24 April 2010<br />

1200 N = 144<br />

1200 N = 144<br />

BLH [m] minimum TKE<br />

1000<br />

800<br />

600<br />

400<br />

200<br />

R = 0.51<br />

Slope = 0.41<br />

RMSD = 301<br />

BLH [m] minimum TKE<br />

1000<br />

800<br />

600<br />

400<br />

200<br />

R = 0.5<br />

Slope = 0.42<br />

RMSD = 297<br />

0<br />

0 500 1000<br />

BLH [m] ideal. profile<br />

0<br />

0 500 1000<br />

BLH [m] exp. ideal. profile<br />

1200 N = 144<br />

1200 N = 144<br />

BLH [m] minimum TKE<br />

1000<br />

800<br />

600<br />

400<br />

200<br />

R = 0.5<br />

Slope = 0.4<br />

RMSD = 307<br />

BLH [m] minimum TKE<br />

1000<br />

800<br />

600<br />

400<br />

200<br />

R = 0.49<br />

Slope = 0.42<br />

RMSD = 299<br />

0<br />

0 500 1000<br />

BLH [m] vertical gradient<br />

0<br />

0 500 1000<br />

BLH [m] critical threshold<br />

Figure 28: Inter-comparison between the BLH methods using the <strong>ceilometer</strong> and th<strong>at</strong> using the<br />

minimum TKE using the wind lidar on April 24 2010. The dashed line is the linear regression<br />

and the solid line is the 1:1 line.<br />

The TKE per unit mass is shown in Figure 27(b) and indic<strong>at</strong>ed by the colour bar, measured<br />

on the same day <strong>with</strong> the wind lidar. The minimum of every vertical TKE profile is<br />

indic<strong>at</strong>ed by a pink circle. From midnight to ∼9:00 the TKE values are rel<strong>at</strong>ively low, but<br />

clearly distinguishable minima are found. These minima indic<strong>at</strong>e the BLH and most of them<br />

follow the cut-off value of the wind measurements, though <strong>with</strong> a few outliers closer to the<br />

surface. The turbulence is strongest from ∼10:00–17:00 showing high TKE values from the<br />

first measurement <strong>height</strong> (100 m) to the estim<strong>at</strong>ed BLH. After 18:00 turbulence gener<strong>at</strong>ion<br />

decreases and no clear minima are found. The minimum values are sc<strong>at</strong>tered between a near<br />

surface <strong>layer</strong> and a residual <strong>layer</strong> visible from around 20:00. The estim<strong>at</strong>es in the residual <strong>layer</strong><br />

are somewh<strong>at</strong> artificial, as the TKE profiles are not continuous.<br />

In Figure 28 it is seen th<strong>at</strong> the inter-comparisons all show correl<strong>at</strong>ions ∼0.5 and slopes<br />

are all ∼0.4. Although the correl<strong>at</strong>ion coefficients are not high they are significant <strong>at</strong> 99.9%<br />

confidence level. In Table 1 is seen th<strong>at</strong> a correl<strong>at</strong>ion of 0.26, where N = 145 is significant<br />

on a 99.9% confidence level. The low-valued correl<strong>at</strong>ion coefficients and slopes are due to the<br />

outliers, as most of the d<strong>at</strong>a points are seen to lie close to the 1:1 line.<br />

A filtering method is applied to remove the outliers of the d<strong>at</strong>a and improve the correl<strong>at</strong>ion<br />

40 DTU Wind Energy Master Thesis M-0039

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