Problem #$1$

Wind speeds at a certain location were sampled at $1$ Hz and averaged for $1$ h for one year $(8760$ hr $).$ The results are as shown in the table below. The height of measurements was $50$ meters. Take and average air density of $1\mathrm{.}1k\frac{g}{m}3.$ Complete the table below and

Draw a histogram of velocity frequency

Draw the cumulative velocity distribution

Draw the frequency probability distribution, $f(v)$ and the accumulative probability distribution, $F(V)$

Calculate the average wind power potential

Calculate the average wind speed

Calculate the standard deviation

Calculate the Weibull shape and scale factors

Using the Weibull Distribution you found above then estimate

a$.$ the wind energy density,

b$.$ annual energy intensity,

c$.$ most frequent wind velocity

d$.$ and the velocity responsible for maximum energy

e$.$ comment on the results by comparing the value found in a$-$d with measured values

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