Example For Weibull Fit
WindDataSuite implements a module for fitting
binned wind speed frequencies to
Weibull distributions.
The fitting can be calculated for the 2parameter Weibull distribution
(scale parameter A, shape parameter k) and for the 3parameter
Weibull distribution (scale parameter A, shape parameter k,
location parameter v_{0}).
Besides the methods of the linear regression
and the Maximum Likelihood model,
the Weibull distribution can also be determined via the best possible
fit to the mean value.
In the following example, the measured wind speed data
have been reduced to complete profiles up to 150 m height
with the WindDataSuite module for data filtering
and have then been binned with respect to the wind speed frequencies.
Then, the resulting binned frequency distributions
have been fitted with the MaximumLikelihood model
to the 2parameter Weibull distribution.


Fig.1:

Frequencies of the wind speeds


Fig.2:

Frequencies of the wind speeds of the fitted Weibull distributions




Fig.3:

Measured and Weibull fitted wind speeds


Fig.4:

Shape parameter k of the Weibull distributions


;
Data range

:

1 year (365 days), sampling rate 10 minutes

Processed channels

:

21 height levels of wind speed, complete profiles only

Computing time

:

starting from the time series approx. 3 seconds

Processing time

:

starting from the time series approx. 2 minutes

