Characteristic Turbulence Intensity

For a set of 10-minute time steps, each of which contains a value of turbulence intensity, the characteristic turbulence intensity is equal to the 84th percentile of the turbulence intensity values, meaning the value below which 84% of the values fall. If the turbulence intensity values conform to a normal distribution, the 84% percentile is equal to the mean plus one standard deviation.

Windographer does assume that the turbulence intensity values are normally distributed, so it calculates the characteristic turbulence intensity as the mean plus one standard deviation.

For example, the following table contains 30 time steps of data on mean wind speed, standard deviation of wind speed, and turbulence intensity, which is the ratio of the two:

Date/TimeWind Speed (m/s)Turbulence Intensity
MeanStd. Dev.
2020-12-22 15:30:0014.51.20.0828
2020-12-22 15:40:0014.21.30.0915
2020-12-22 15:50:0012.61.20.0952
2020-12-22 16:00:0012.31.00.0813
2020-12-22 16:10:0013.30.80.0602
2020-12-22 16:20:0013.01.00.0769
2020-12-22 16:30:0013.41.00.0746
2020-12-22 16:40:0013.71.00.0730
2020-12-22 16:50:0012.81.00.0781
2020-12-22 17:00:0013.71.00.0730
2020-12-22 17:10:0014.20.90.0634
2020-12-22 17:20:0013.90.70.0504
2020-12-22 17:30:0013.80.90.0652
2020-12-22 17:40:0013.61.10.0809
2020-12-22 17:50:0013.11.00.0763
2020-12-22 18:00:0012.21.10.0902
2020-12-22 18:10:0012.51.00.0800
2020-12-22 18:20:0012.40.80.0645
2020-12-22 18:30:0012.70.80.0630
2020-12-22 18:40:0012.31.10.0894
2020-12-22 18:50:0012.10.70.0579
2020-12-22 19:00:0012.70.70.0551
2020-12-22 19:10:0011.41.00.0877
2020-12-22 19:20:0012.11.00.0826
2020-12-22 19:30:0011.60.80.0690
2020-12-22 19:40:0011.40.90.0789
2020-12-22 19:50:0010.70.70.0654
2020-12-22 20:00:0011.00.80.0727
2020-12-22 20:10:0010.80.80.0741
2020-12-22 20:20:0011.70.70.0598

Those 30 turbulence intensity values (highlighted in the table) have a mean of 0.0738 and a standard deviation of 0.0113. Windographer would therefore calculate the characteristic turbulence intensity over that period as 0.0738 + 0.0113 = 0.0851.

The 2nd edition of IEC standard 61400-1 defined standard turbulence categories based on the value of the characteristic turbulence intensity at 15 m/s. For more information, please see the article on the Turbulence window.

See also

Turbulence window

Turbulence intensity

Representative turbulence intensity

Normal Turbulence Model

IEC turbulence modeling


Written by: Tom Lambert
Contact: windographer.support@ul.com
Last modified: July 13, 2021