code of load flow equation four buses

clc
clear all
cg =[0.86 0 0 0.6];
Pg = [0 0 0 318];
Pd = [50 170 200 80];
Qd = [30.9 105.35 123.94 49.58];
Y = [9.934-1i*44.925, -3.815+1i*19.078, -5.169+1i*25.847, 0
-3.815+1i*19.078, 8.984 - 1i*44.925, 0, -5.169+1i*25.847
-5.169+1i*25.847, 0, 8.192 - 1i*40.965, -3.023 + 1i*15.118
0, -5.169+1i*25.847, -3.023 + 1i*15.118, 8.192 - 1i*40.965];
Pg=sdpvar(1,4);
Qg = sdpvar(1,4);
objective= sum(cg.*Qg)
Qgmin=[-100 0 0 -100];
Qgmax =[100 0 0 100];
Pgmin =[0 0 0 0];
Pgmax =[318 0 0 318];
vang = sdpvar(1,4);
vmag = sdpvar(1,4);
vmin =0.9;
vmax =1.1
Constraints = [];
[Costraints,Pg(1,1)-Pd(1,1)==vmag(1,1)*[vmag(1,1)*Ymag(1,1)*cos(Yang(1,1))+...
vmag(1,2)*Ymag(2,1)*cos(Yang(2,1) + vang(1,1) - vang(1,2))+...
vmag(1,3)*Ymag(3,1)*cos(Yang(3,1) + vang(1,1) - vang(1,3))+...
vmag(1,4)*Ymag(4,1)*cos(Yang(4,1) + vang(1,1) - vang(4))];
[Costraints,Qg(1,1)-Qd(1,1)==(-vmag)(1,1)*[vmag(1,1)*Ymag(1,1)*sin(Yang(1,1))+...
vmag(1,2)*Ymag(2,1)*sin(Yang(2,1) + vang(1,1) - vang(1,2))+...
vmag(1,3)*Ymag(3,1)*sin(Yang(3,1) + vang(1,1) - vang(1,3))+...
vmag(1,4)*Ymag(4,1)*sin(Yang(4,1) + vang(1,1) - vang(4))];
% Constraints = [Constraints,sum(Pg)==sum(Pd)];
% Constraints=[Constraints,Pg(i)-Pd(i)=P(i)]
% Constraints=[Constraints,Qg(i)-Qd(i)=Q(i)]
Constraints = [Constraints,0<=Pg<=318];
Constraints = [Constraints,-100<=Qg<=100];
Constraints = [Constraints, vmin <= vmag];
Constraints = [Constraints, vmag <= vmax];
options = sdpsettings('solver','gurobi');
sol = optimize(Constraints,objective,options);
value(objective)
reactive_power=value(Qg)
active_power=value(Pg)
voltage_mag=value(vmag)
voltage_ang=value(vang)

1 Comment

Torsten
Torsten on 12 Aug 2024
Edited: Torsten on 12 Aug 2024
YALMIP is not an official MATLAB tool. So it's not possible to test your code here and find possible errors.
What we can see is that you don't define Ymag and Yang and that you use "Costraints" instead of "Constraints" two times in the above code.
If you formulate your problem for "fmincon", e.g., maybe somebody will be able to help.

Sign in to comment.

Answers (0)

Categories

Products

Release

R2024a

Asked:

on 12 Aug 2024

Edited:

on 12 Aug 2024

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!