Question

a probability density function (pdf) of wind speed, y, pl)that is flat from 0 mis to a cutof velocity ve m/s, Pr(v)-( and turbine power, P, as a function of the random variable v of the form 2 where n is the turbine efficiency and v, is the rated velocity such that 2 For the following, assume vc-20 m/s, η-04, ρ 122 kg/m3, A-4x104 m? and v-20 m/s-ve- (a) Calculate the mean value of the random variable defined by this pdf. (b) Calculate the standard deviation of the random variable defined by this pdf (c) Calculate the mean value of the power P(v). (d) Calculate the standard deviation of the power P(v) (e) Calculate the capacity factor, CF, for the power curve P(v) Pr

Answer 1

Anus 1 2. Dc (b vv . Standard deviation -v/V2-v2 Ve 3 ,2 32 /2 = 5.77 ml gee /s meanヅ/Power-./ /eリ.ce//> -as 2足 -22を 4a

8 13.52 MW 922 屺 29a 2 2 & 28 8.703x!d4 = = 22.13 mW 女 σ'25