Electrical Engineering > GATE 2026 > Economic Load Dispatch
A system with two generators G1 and G2 (without generator limits) is shown. The total load on the system is 1184 MW. The expressions for the cost of generation (C1 and C2) and real power loss (PLoss) are as follows:
C1(PG1) = 1000 + 50PG1 + 0.01(PG1)2 Rs/MWh
C2(PG2) = 2000 + 50PG2 + 0.001(PG2)2 Rs/MWh
PLoss = 0.001(PG2 − 50)2 MW
When the generators are operating at their optimal generation, meeting the total load requirement, the real power loss in the system is ________ MW (Round off to one decimal place)
Consider the Lagrange multiplier λ = 70.25 for optimal generation.
C1(PG1) = 1000 + 50PG1 + 0.01(PG1)2 Rs/MWh
C2(PG2) = 2000 + 50PG2 + 0.001(PG2)2 Rs/MWh
PLoss = 0.001(PG2 − 50)2 MW
Consider the Lagrange multiplier λ = 70.25 for optimal generation.
Correct : 5.1
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