Use the data given in following figure and table to find the average wind speed

Question

Use the data given in following figure and table to find the average wind speed and the average power in the wind (W/m2). Assume the standard air density of 1.225 kg/m3. Compare the result with that which would be obtained if the average power were miscalculated using just the average wind speed. V (m/s) 0 24 276 729 941 5 869 946 8 896 805 690 11 565 12 10 13 335 14 243 15 114 16 17 18 19 20 21 170 74 16 9 23 24 25 01 234587 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 Total hrs 8,760 An example of site data and the resulting wind histogram showing hours that the wind blows at each wind speed.

Explanation / Answer

The scalar average wind speed (u¯) is displayed in Eq. 1 where ui is logged or reported wind speed. This is the ‘standard’ arithmetic mean of wind speed. u¯ = 1 n Xn i=1 ui (1)

u¯=653.24/8760

=0.0745 m/s

=268.45 mph

The following data is available:

=0.52 w/m

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