How to generate the equations automatically for multiple number of times

Hello,

I want to generate these 4 equations (written below) multiple times,(V11, delta11, I11, phi11, V21,delta21,I21,Phi21 are measurements) For each sample of these 8 measurements i want to generate 4 more equations automatically.

e.g. if no of samples= 3, then i need to generate 12 equations automatically

Can anyone suggest a smarter way of doing that?

Thanks in advance! Farhan

    F = [V11.*cos(delta11) - R1*I11.*cos(phi11)+X1*I11.*sin(phi11)-E3.*cos(delta31)+R3*I31.*cos(phi31)-X3*I31.*sin(phi31)
     V11.*sin(delta11) - R1*I11.*sin(phi11)-X1*I11.*cos(phi11)-E3.*sin(delta31)+R3*I31.*sin(phi31)-X3*I31.*cos(phi31)
     V21.*cos(delta21) - R2*I21.*cos(phi21)+X2*I21.*sin(phi21)-E3.*cos(delta31)+R3*I31.*cos(phi31)-X3*I31.*sin(phi31)
     V21.*sin(delta21) - R2*I21.*sin(phi11)-X2*I21.*cos(phi11)-E3.*sin(delta31)+R3*I31.*sin(phi31)-X3*I31.*cos(phi31)]

Answer 1

[Image Analyst]

Why not write a function:

function F = GenerateF(V11, delta11, I11, phi11, V21,delta21,I21,Phi21)
F = [V11.*cos(delta11) - R1*I11.*cos(phi11)+X1*I11.*sin(phi11)-E3.*cos(delta31)+R3*I31.*cos(phi31)-X3*I31.*sin(phi31)
     V11.*sin(delta11) - R1*I11.*sin(phi11)-X1*I11.*cos(phi11)-E3.*sin(delta31)+R3*I31.*sin(phi31)-X3*I31.*cos(phi31)
     V21.*cos(delta21) - R2*I21.*cos(phi21)+X2*I21.*sin(phi21)-E3.*cos(delta31)+R3*I31.*cos(phi31)-X3*I31.*sin(phi31)
     V21.*sin(delta21) - R2*I21.*sin(phi11)-X2*I21.*cos(phi11)-E3.*sin(delta31)+R3*I31.*sin(phi31)-X3*I31.*cos(phi31)]

Then just call the function whenever you need to with whatever inputs you have at the time.

[Farhan]

Hi, Thanks for the reply.

I tried by making it function, then i this way when i call it, it give me the value of the calculated function.

Whereas my aim was to generate 12 equations (for m=3), i want to make these 12 equations it self a function. And then this function will be used in another algorithm.

Any suggestion? How to make output of a function as a function?

[Image Analyst]

Sorry, I guess I just don't understand. GenerateF will give a row vector some number of elements long that depends on how many elements are in the arguments. And I don't see where "no of samples" comes into play. What is it? What named variable contains that?

[Walter Roberson]

function F = GenerateF(V11, delta11, I11, phi11, V21,delta21,I21,Phi21)

    F = @(R1, R2, R3, X1, X2, X3, E3) [V11.*cos(delta11) - R1*I11.*cos(phi11)+X1*I11.*sin(phi11)-E3.*cos(delta31)+R3*I31.*cos(phi31)-X3*I31.*sin(phi31)
         V11.*sin(delta11) - R1*I11.*sin(phi11)-X1*I11.*cos(phi11)-E3.*sin(delta31)+R3*I31.*sin(phi31)-X3*I31.*cos(phi31)
         V21.*cos(delta21) - R2*I21.*cos(phi21)+X2*I21.*sin(phi21)-E3.*cos(delta31)+R3*I31.*cos(phi31)-X3*I31.*sin(phi31)
         V21.*sin(delta21) - R2*I21.*sin(phi11)-X2*I21.*cos(phi11)-E3.*sin(delta31)+R3*I31.*sin(phi31)-X3*I31.*cos(phi31)];

The return value will be a function in R1, R2, R3, X1, X2, X3, E3, that will have "bound in" the values of the parameters that you passed to the generating function.

[Farhan]

Hi Image Analyst,

All the inputs to GenereateF i.e. V11, delta11, I11, phi11, V21,delta21,I21,Phi21 are my measurement data. In order to solve these equations generated by GenerateF using (non-linear least square) algorithm one need at least 3 samples of input data.(No of Eqs>No of unknowns)

Therefore 4*3=12 eqs i want to first generate these 12 equations automatically and then will be used in least square algorithm. (other option is to write by hand, but imagine if no of samples = 10, so i cant write 40 equations manually)

Any suggestion how to generate multiple no of equations (for loop may be, but my V11, delta11.... are changing (due to next sample of data) )