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The normal wind direction vector nwinddir for a plane parallel wind field (that always inflows<br />

right-angled to the rotor area) without vertical wind component can be described as followed:<br />

⎡ ⎤<br />

1<br />

nwinddir = ⎣ 0 ⎦.<br />

0<br />

The angle cosϕ between nwinddir and nlos can be calculated,<br />

cosϕ = nlos ·nwinddir<br />

. (180)<br />

||nwinddir||||nlos||<br />

The wind speed component u in x-direction, is the projection of vlos in the direction of<br />

nwinddir. It can be calculated with the angle between the vectors.<br />

ulos = vlos<br />

cosϕ<br />

Figure 107: Schematics of the normalized vectors and vlos.<br />

(181)<br />

Assuming a plane parallel wind field and no vertical wind speed component enables a<br />

reconstruction of the wind field. But what’s about horizontal and vertical shear, yaw error,<br />

turbulence? One possibility is shown with an “Estimator”-approach by Schlipf (2011).<br />

8.7 “Visited” test sites of the SWE Scanner<br />

8.7.1 Onshore test site Bremerhaven, Germany<br />

The prototype of the AREVA Wind M5000 wind turbine was erected in December 2004 in<br />

Bremerhaven, close to the North Sea. In cooperation with DEWI (German Wind Energy<br />

Institute) and AREVA Wind the SWE started a thorough measurement program in spring<br />

2005. In 2007 the national funded project “Development of lidar measurement techniques for<br />

the German offshore test site” started with the objective to develop reliable and standardized<br />

remote sensing techniques for various new applications in the wind energy community and to<br />

support in a later step other RAVE (research at alpha ventus) projects at the German offshore<br />

<strong>DTU</strong> Wind Energy-E-Report-0029(EN) 163

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