Power System Security Analysis With Renewable Energy ... - IIT Mandi
Power System Security Analysis With Renewable Energy ... - IIT Mandi
Power System Security Analysis With Renewable Energy ... - IIT Mandi
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Load Flow Equations, Contd.<br />
*<br />
( Pi<br />
− jQi<br />
) = ( PGi<br />
− PDi<br />
) − j( QGi<br />
−QDi<br />
) = Vi<br />
YijV<br />
j<br />
In polar form,<br />
( P − jQ ) = ( P − P ) − j( Q − Q )<br />
=<br />
i<br />
n<br />
∑<br />
j=<br />
1<br />
VV Y<br />
i<br />
i<br />
j<br />
ij<br />
Gi<br />
V Y V<br />
Separating into real and imaginary parts<br />
n<br />
∑<br />
j=<br />
1<br />
[ cos( δ −δ<br />
−θ<br />
) − j sin( δ −δ<br />
−θ<br />
)] i = 1,2,.... n<br />
i<br />
Di<br />
j<br />
ij<br />
Gi<br />
Di<br />
=<br />
i<br />
n<br />
∑<br />
j=<br />
1<br />
j<br />
i<br />
ij<br />
ij<br />
j<br />
∠δ<br />
−δ<br />
i<br />
j<br />
−θ<br />
ij<br />
P<br />
i<br />
=<br />
P<br />
Gi<br />
−<br />
P<br />
Di<br />
=<br />
n<br />
∑<br />
j=<br />
1<br />
VV Y<br />
i<br />
j<br />
ij<br />
cos( δ − δ<br />
i<br />
j<br />
−θ<br />
ij<br />
)<br />
i<br />
= 1,2,..... n<br />
Q<br />
i<br />
=<br />
Q<br />
Gi<br />
− Q<br />
Di<br />
=<br />
n<br />
∑<br />
j=<br />
1<br />
VV Y<br />
i<br />
j<br />
ij<br />
sin( δ<br />
i<br />
− δ<br />
j<br />
−θ<br />
ij<br />
)<br />
i<br />
= 1,2,..... n