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Question

A two bus system is shown below,



If 150 MW is transmitted from plant 2 to the load, a transmission loss of 15 MW is incurred. The incremental fuel costs of the two plants are:

dC1dPG1=0.04PG1+20Rs/MWh

dC2dPG2=0.02PG2+16Rs/MWh

The power received by load is ____ MW. (Assume system λ = Rs. 25/MWh)
  1. 274.75

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Solution

The correct option is A 274.75
We know that,

Transmission loss, PL=B22P2G2

15=B22(150)2

B22=6.6667×104(MW1)

IC=λ(1PLP1)

Now, 0.04PG1+20=λ=25

PG1=125MW

and 0.02PG2+16=λ(12×6.6667×104×PG2)

PG2=168.75MW

PL=6.6667×104×(168.75)219MW

PD1=PG1+PG2PL

=125+168.7519

PD1=274.75MW

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