How to create cp-λ characteristics curve, for different values of the pitch angle β for Wind Turbine block?

How to create cp-λ characteristics curve, for different values of the pitch angle β just like the example shown in the Wind Turbine blocks explanation?

Source: https://www.mathworks.com/help/physmod/sps/powersys/ref/windturbine.html

[Mohamed Sayed]

Did you know how to do it?

Did you know how to do it?

Answer 1

[VBBV]

c1 = 0.5176;
c2 = 116;
c3 = 0.4;
c4 = 5;
c5 = 21;
c6 = 0.0068;
Beta = linspace(-2,24,10);
Lambda = linspace(0,15,20);

for k = 1:length(Beta)
    L =  1./(Lambda+0.08*Beta(k)) - (0.035/(Beta(k)^3 + 1));
    Cp(k,:) = c1*(c2*L-c3*Beta(k)-c4).*exp(-c5*L)+c6*Lambda  ; % the equation
end

plot(Lambda,Cp.','b-')
ylim([-0.1 0.6])
grid;
xlabel('Tip speed ratio (\lambda)')
ylabel Cp[-]

[VBBV]

It's suggested if you go through the Matlab on ramp tutorial. It gives you a broader outlook on how to work with Matlab scripts and work with equations using standard Matlab syntax.

[Mohamed Sayed]

I want the same numbers as in the attached picture for the person who wrote the post. You can do it, please

Answer 2

[Ifeoma]

1. Extend the code in Task 1 to calculate the turbine extracted power for wind speeds from the cut-in to rated values (5 to 12 m/s), assuming the turbine pitch angle β is fixed at 0 degrees. Plot turbine power versus turbine speed (rpm) curves. Search for the optimal turbine speeds which give the maximum turbine powers for all these wind speeds and mark these peak power points on their corresponding power-speed curves. To complete this Task correctly, please give:- The code flow chart for searching for the optimal turbine speed,- The program listing,- The simulation result by annotating the peak power points on the produced curves of power and turbine speed,Please explain the principle for adjusting turbine speed when pitch angle β is fixed to 0° for obtaining the MPPT, assuming the generator terminal is equipped with a controlled rectifier/inverter. Please use the drive train two-mass model in your explanation.