Power System Security Analysis With Renewable Energy ... - IIT Mandi

NRLF method in Polar coordinates
The power flow equations in polar coordinates can be
written as,
P
i
Q
i
=
=
n
∑
j=
1
n
∑
j=
1
VV
i
VV
i
j
( G cosδ
+ B sinδ
)
j
ij
i = 2,..... n
( G sinδ
−B
cosδ
) i = m + 1,..... n
ij
ij
ij
ij
ij
ij
ij
where,
δ
ij
=
δ
i
− δ
j
The correction vector can be written as
∆V
∆δ
n
∆δ
n
∆V
/ V
2
m+
1
/ V
n
∂P
∂P
H = L = V
= ∂δ
∂V
∂Q
∂Q
M = N = V
∂δ
∂V
∆P
∆P
∆Q
n
∆Q
m+
1
2
n