EXAMPLES
MATHEMATICAL TRANSFORMATIONS
Example for
mathematical transformations

WindDataSuite implements a module for mathematical transformations. The module is based on formulas, which can easily be constructed by the user, and which comprise all arithmetic operations, algebraic, transcendental, logical, and special functions, and any arbitrary data variable.

In the following example, two different height profiles of the wind speed are depicted (Fig.1):
The blue curve shows the height profile of the mean wind speeds (mv, time series average), the red curve shows the height profile of the mean effective wind speeds (mev, time series average).

The mean effective wind speeds have been calculated in 3 steps:

1. Calculation of the power equivalent values v3 of the wind speeds v.
2. Averaging (time series average) of the power equivalent values v3.
3. Calculation of the mean effective wind speed as the 3. root from the time series mean of the power equivalent values.

Fig.1:
Mean wind speed (mv) and mean effective wind speed (mev)

Data range:
1 year (365 days), sampling rate 10 minutes
Processed channels:
21 height levels of wind speed, complete profiles only
1. step: Pow[m3/s3] = v3
2. step: mv = time series average(v), mPow = time series average(Pow)
3. step: mev[m/s] = 3mPow
Computing time:
starting from the time series approx. 2 seconds
Processing time:
starting from the time series approx. 2 minutes