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ELD within the plant without transmission losses

The increment...

Question

The increment cost curves of three generators are shown, the demand on the system is 240 MW.
For economic load dispatch the generators schedule is

P_{1} = 20 M W, P_{2} = 70 M W, P_{3} = 150 M W

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P_{1} = 20 M W, P_{2} = 150 M W, P_{3} = 70 M W

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P_{1} = 50 M W, P_{2} = 50 M W, P_{3} = 90 M W

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P_{1} = 20 M W, P_{2} = 90 M W, P_{3} = 130 M W

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Solution

The correct option is A $P_{1} = 20 M W, P_{2} = 70 M W, P_{3} = 150 M W$
$G_{1}$ is high cost generator, so it will supply minimum power,
$P_{2} + P_{3} = 220 M W, P_{1} = 20 M W$
From the curve, $(I C_{2} - 10) = 0.1 (P_{2} - 50)$
$\Rightarrow I C_{2} = 0.1 \times P_{2} + 5$
For economic dispatch
$I C_{2} = I C_{3}$
$0.1 \times P_{2} + 5 = 12$
$\Rightarrow P_{2} = 70 M W$
$P_{3} = 150 M W$

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