Question

solve # 3 only using math lab

The following is a wind gradient data taken in city environment with high rise buildings: 1. Height from ground (m): 0,50, 100, 150, 200, 250, 300, 350, 400, 450, 500 Wind Speed (m/s) 0,7, 15, 23, 30, 33, 35, 37, 42, 50, 60 Using mat lab, (i) do a line plot of wind speed against height. (ii) Repeat above for bar plot. The following is the wind speed and power density data for a wind turbine: Wind Speed (m/s) Power Density (kw/m2): 0.01 0.08 0.27 0.64 2.20 2. :2.5 5.0 7.5 10 15 20 30 40 5.10 17 41 Use mat lab to do a plot of wind speed against power density for the wind generating plant. A power law model used for height projection of long term wind velocity is given by 15 ft 3. v2/V= (h2/h) where x is roughness class. For example x- 0.2 for country side with farms; x-0.3 for small town with low forest. Using data from exercise 1 above, find x for wind velocity in a city with high rise buildings

Answer 1

h=[0:50:500];
v=[0,7,15,23,30,33,35,37,42,50,60];

x= zeros(1,10);

for i=2:10
x(i) = (log(v(i+1))-log(v(i)))/(log(h(i+1))-log(h(i)))
end
X =mean(x)