#1. How much power could a wind turbine produce if it had the following specific

Question

#1. How much power could a wind turbine produce if it had the following specifications?

Cp = 0.45

d = 1.2kg/m3

D = 80m

V = 8m/s

#2. If you wanted to double the output power, how fast would the velocity of the wind have to be?

#3. What would be the annual energy production from #1 if it had the following specifications?

CF = 25%

GS = power calculated from #1

Availability = 90%

#4. Assuming the height of the wind turbine hub is 45m, if the height of the wind turbine from #1 was raised to 100m, what would be the new power output of the wind turbine? Use = 0.14 for this calculation.

Explanation / Answer

1. Power produced by wind turbine is given by

P = 1/2 x Cp x d x A x v3

= 1/2 x 0.45 x 1.2 x (pi/4) x 802x 83

   = 694870 W

2. P is directly proportional to cube of v

P1/P2 = (V1/V2)3

1/2 = (8/V2)3

V2 = 10 m/s

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