 EXAMPLES
MATHEMATICAL TRANSFORMATIONS

# Example for mathematical transformations

The mathematical transformations are based on formulas, which can easily be constructed by the user. The mathematical library covers

• all arithmetic operations
• algebraic, transcendental, logical, and some special functions
• arbitrary data variables

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)
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