Example for the fill-up
of missing wind profile data

Missing wind speed values within a wind speed profile are filled up with the following methods:

Logarithmic wind speed profile fit (3-parameter fit with friction velocity, roughness length, and displacement height "logarithmic fill-up" in the following).
Linear regression versus the height levels ("linear fill-up" in the following). This method will be applied automatically also if the logarithmic fit fails.
Linear interpolation between the height levels.

Missing wind directions within a wind direction profile are filled up with the following methods:

Special regression versus the height levels ("cyclic linear fill-up" in the following). This regression specifically applies for cyclic quantities like the wind direction and reflects the rotation of the wind direction with height correctly.
Special interpolation between the height levels. This interpolation specifically applies for cyclic quantities like the wind direction.

Alternatively (or also additionally) (still) missing wind profile data can be filled up with the WindDataSuite module for the
fill-up of time series .

In the following example (time series with 31 height levels from 50 m to 200 m), missing wind speeds and missing wind directions have been filled up.

Fig.1 shows the original wind speed profile at a certain time step, and the respectively logarithmic filled up wind speeds.
Fig.2 shows the original wind direction profile at the same time step, and the respectively cyclic linear filled up wind directions.

Fig.3 shows the original wind speed profile at a certain time step, and the respectively linear filled up wind speeds.
Fig.4 shows the original wind direction profile at the same time step, and the respectively cyclic linear filled up wind directions.

Fig.5 shows the availability of the wind speed data over the entire time series before the fill-up (original) and after the logarithmic fill-up of the wind profiles.
Fig.6 shows the availability of the wind direction data over the entire time series before the fill-up (original) and after the logarithmic fill-up of the wind profiles.

Fig.7 shows the average of the wind speed over the entire time series before the fill-up (original) and after the logarithmic fill-up of the wind profiles.
Fig.8 shows the average of the wind direction over the entire time series before the fill-up (original) and after the logarithmic fill-up of the wind profiles.