Environmental Engineering Reference
In-Depth Information
Table 2-7. Typical Clayton VPA Wind Segment Data
[George and Connell, 1984]
Data Segment Number
=
C2c
Date; Starting Time
=
06/30/82; 1740
VPA Hub Height, H C
=
30.5 m
VPA Sampling Radius, R C
=
19.0 m
Test Segment Length
=
8.5 min
Rotational Sampling Speed, P
=
0.67 Hz
Center Mean Wind Speed, U 0
=
10.71 m/s
=
0.856 m/s
Center Stationary Turbulence, s 0
=
1.506 m/s
Wind Shear Across Disk, D U
Frequency band
f (Hz)
Mid-band harmonic
frequency f/P
Variance
μ (m/s 2 )
Turbulence
s (m/s)
Turbulence intensity
s/ U 0
< 0.33
0.498
0.706
0.066
0.33 - 1.00
1
0.431
0.656
0.061
1.00 - 1.67
2
0.146
0.382
0.036
1.67 - 2.33
3
0.070
0.264
0.025
2.33 - 3.00
4
0.037
0.192
0.018
3.00 - 3.67
5
0.032
0.179
0.017
-
Turbulence intensities of harmonics above the irst decrease with increasing
harmonic number, following a roughly exponential decay.
-
Atmospheric stability has little, if any, direct effect on harmonic turbulence in-
tensities. An indirect effect of a stable atmosphere on the irst harmonic inten-
sity is through the increased wind shear often present in a stable atmosphere.
These observations lead to the following model for representing the Clayton VPA data:
(s 1 / U 0 ) C = 0.0311 + 0.297 D U / U 0
(2-28a)
(s n / U 0 ) C = 0.059 n - 0.75
n > 1
(2-28b)
where
s n = rotationally-sampled turbulence in the frequency range from ( n - ½) P to
( n + ½) P (m/s)
P = rotational sampling frequency (rad/s)
C = subscript denoting Clayton VPA parameters
H = hub elevation above ground level (m)
R = radius of circular sampling path (m)
U 0 = steady free-stream wind speed at hub elevation (m/s)
D U = total steady wind shear from top to bottom of circular sampling path (m/s)
We can determine the steady wind shear across the circular path, D U , from anemometer
test data, or we can estimate it using one of several models, including the well-known power
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