Electrical Power Systems

422 Electrical Power Systems
\ l =
P
m
bi
+ å 2d
D
i=1
m
å
i=1
1
2d
i
i
...(16.46)
Now, let us define eqn. (16.45)
f(l) = PD ...(16.47)
Expanding the left-hand side of the above equation in Taylor series about an operating point
l (K) , and neglecting the higher order terms, we obtain,
f(l) (K) + df
( )
( l)
I
HG dl
KJ K
Dl (K) = PD \ Dl (K) =
Let us define,
Also
PD-f( l)
df ( l)
I
HG dl
KJ
( K)
( K)
DP g (K) = PD – f(l) (K)
m
\ (K)
DPg = PD –
(K)
Pgi \
f(l) =
df ( l)
dl
=
m
i=1
lå
b
2d
i=1
m
å
1
2d
i=1 i
rom eqns. (16.48), (16.49) and (16.51), we get,
Therefore,
Dl (K) = DPg
(K)
m
1
å
i=1
2d
...(16.48)
...(16.49)
å ...(16.50)
i
i
i
...(16.51)
... (16.52)
l (K+1) = l (K) + Dl (K) ...(16.53)
The process is continued until DP g (K) is less than a specified accuracy. K is iteration count.