How do I surf plot this data in matlab?

My three variables are: "Beta", "lambda_fit", "Cp" (as shown in the image) and I would like to surface plot this data. Matlab is not letting me plot the data because the beta matrix is only a 1x4 instead of 4x8. How would I get Matlab to plot this data?

Appreciate any help.

Here's my code:

beta=[15,20,30,35]; %Pitch Angles
Vw = [3,3.5,4,4.5,4.75,5,5.25,5.5];
RPM1= [300 400 470 550 580 630 645 660]; %(15 degrees)
P1 = [4 50 80 100 108 120 128 137];
Vw = [3,3.5,4,4.5,4.75,5,5.25,5.5];
RPM2 = [350 460 530 590 615 660 680 750]; %(20 degrees)
P2 = [45 60 70 112 114 120 145 165];
Vw = [3,3.5,4,4.5,4.75,5,5.25,5.5];
RPM3 = [300 380 400 420 445 480 515 520]; %(30 degrees)
P3 = [8 30 50 60 74 82 83 90];
Vw = [3,3.5,4,4.5,4.75,5,5.25,5.5];
RPM4 = [200 280 320 340 350 360 390 420]; %(35 degrees)
P4 = [2 3 5 10 20 40 46 50];
figure(1); 
plot(Vw,RPM1,'x');
title('RPM vs Windspeed (15 degrees pitch angle)');
xlabel('Vw');
ylabel('RPM');
figure(2);
plot(Vw,RPM2,'x');
title('RPM vs Windspeed (20 degrees pitch angle)');
xlabel('Vw');
ylabel('RPM');
figure(3);
plot(Vw,RPM3,'x');
title('RPM vs Windspeed (30 degrees pitch angle)');
xlabel('Vw');
ylabel('RPM');
figure(4);
plot(Vw,RPM4,'x');
title('RPM vs Windspeed (35 degrees pitch angle)');
xlabel('Vw');
ylabel('RPM');
RPM_fit1=[318.625730994152,391.929824561404,465.233918128655,538.538011695906,575.190058479532,611.842105263158,648.494152046784,685.146198830409];
RPM_fit2=[368.625730994152,441.929824561403,515.233918128655,588.538011695906,625.190058479532,661.842105263158,698.494152046784,735.146198830409];
RPM_fit3=[313.128654970760,354.649122807018,396.169590643275,437.690058479532,458.450292397661,479.210526315789,499.970760233918,520.730994152047];
RPM_fit4=[223.216374269006,261.228070175439,299.239766081871,337.251461988304,356.257309941520,375.263157894737,394.269005847953,413.274853801170];
RPM_fit=[RPM_fit1;RPM_fit2;RPM_fit3;RPM_fit4];
w_fit=(2*pi)/60*RPM_fit;
Vw_m=[3,3.5,4,4.5,4.75,5,5.25,5.5;3,3.5,4,4.5,4.75,5,5.25,5.5;3,3.5,4,4.5,4.75,5,5.25,5.5;3,3.5,4,4.5,4.75,5,5.25,5.5]
R = 0.17; %radius of turbine 
ro = 1.23;%density of air
A = pi*(R^2)%swept area
lambda_fit=w_fit*R./Vw_m;
[B,L]=meshgrid(beta,lambda_fit); 
p_m=[4 50 80 100 108 120 128 137;45 60 70 112 114 120 145 165;8 30 50 60 74 82 83 90;2 3 5 10 20 40 46 50;]; %matrix form of power
Cp=2.*p_m./((Vw_m.^3)*ro*A); %power coefficient
figure(5)
surf(B,Cp,L); %3d plot 
title('')
xlabel('Pitch angle')
ylabel('Cpf')
zlabel('lambda')
end

Thanks in advance, Vinay

Answer 1

[Star Strider]

For your vector data, your best option to plot them in 3D is the ribbon plot.