WDS-Logo   Deutsch   English 
 
 
You are here: ⇒ Examples ⇒ Weibull Fit

Example For Weibull Fit

WindDataSuite implements a module for fitting binned wind speed frequencies to Weibull distributions.
The fitting can be calculated for the 2-parameter Weibull distribution (scale parameter A, shape parameter k) and for the 3-parameter Weibull distribution (scale parameter A, shape parameter k, location parameter v0).
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 Maximum-Likelihood model to the 2-parameter Weibull distribution.

Fig.1 Frequencies v Fig.2 Frequencies Weibull-v
Fig.1:  Frequencies of the wind speeds
Fig.2:  Frequencies of the wind speeds
of the fitted Weibull distributions
Fig.3 vgem, vwb Fig.4 Weibull-k
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