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

Question

Karam Karas 2023-3-23

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https://ww2.mathworks.cn/matlabcentral/answers/1933845-how-to-create-cp-characteristics-curve-for-different-values-of-the-pitch-angle-for-wind-turbine

回答： Ifeoma 2024-1-9

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

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Mohamed Sayed 2024-1-6

Did you know how to do it?

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Answer 1

VBBV 2023-3-23

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https://ww2.mathworks.cn/matlabcentral/answers/1933845-how-to-create-cp-characteristics-curve-for-different-values-of-the-pitch-angle-for-wind-turbine#answer_1199130

编辑：VBBV 2023-3-23

在 MATLAB Online 中打开

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[-]

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VBBV 2023-3-23

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 2024-1-6

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

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Answer 2

Ifeoma 2024-1-9

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https://ww2.mathworks.cn/matlabcentral/answers/1933845-how-to-create-cp-characteristics-curve-for-different-values-of-the-pitch-angle-for-wind-turbine#answer_1386456

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.