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The expressions of fuel cost of two thermal generating units as a function of the respective power generation
and
are given as:
where
is a constant. For a given value of
, optimal dispatch requires the total load of
to be shared as
and
. With the load remaining unchanged, the value of
is increased by
and optimal dispatch is carried out. The changes in
and the total cost of generation,
in Rs/hour will be as follows:
will decrease and
will increase.
Both
and
will increase.
will increase and
will decrease.
Both
and
will decrease.


If a is increased by 10% the slope of incremental cost of generator 1 increases so for economic load dispatch when IC1=IC2
Pa1 reduces & Pa2 increases

As a increases & Pa1 reduces there is slight change in F1

As Pa2 increases, F2 increase
∴ Overall cost F1 + F2 increases