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Economic dispatch graph for a '4 units' system

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Hasan Ghorbani
Hasan Ghorbani 2016년 5월 19일
편집: Hasan Ghorbani 2016년 5월 19일
Hi all, I have 4 generator in my system and I would like to plot the incremental cost graph vs system load (ranging from 250MW to 1200MW)
I can easily work out the values when all four units are in normal operation mode using following code:
a1=.004;b1=9;
a2=.002;b2=10;
a3=.006;b3=8;
a4=.006;b4=8;
aT = inv(inv(a1)+inv(a2)+inv(a3)+inv(a4))
bT = aT * (b1/a1 + b2/a2 + b3/a3 + b4/a4 )
for Pg = 250:50:1200;
lambda = aT * Pg + bT;
Pg1 = (lambda-b1)/a1;
Pg2 = (lambda-b2)/a2;
Pg3 = (lambda-b3)/a3;
Pg4 = (lambda-b4)/a4;
fprintf('\nPg=%4d \tlambda=%6.3f Pg1=%6.3f Pg2=%6.3f Pg3=%6.3f Pg4=%6.3f ',Pg,lambda,Pg1,Pg2,Pg3,Pg4)
end
And I know my graph should look similar to following diagram (with three breaking point perhaps):
But I don't know how to find out in which region, what unit should take more burden and which one can operate in its minimum. Can anyone help me on this please?
BTW, ignore losses.

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