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Electrical Power Systems

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414 <strong>Electrical</strong> <strong>Power</strong> <strong>Systems</strong><br />

\ l 2 = l 2 min = 39.92 Rs/MWhr.<br />

At P g2 = P g2 max = 130 MW<br />

\ l 2 = l 2 max = 0.36 Pg2 max + 32 = 0.36 × 130 +32<br />

\ l 2 = l 2 max = 78.8 Rs/MWhr.<br />

igure 16.6 gives the incremental cost curves of two units.<br />

ig. 16.6: Incremental Cost Curves.<br />

At the bottom point P g1 min (32 MW) > Pg2 min (22 MW), Therefore, Pg1 is fixed at 32 MW and<br />

P g2 is fixed at 22 MW (i.e., P D = 32 + 22 = 54 MW).<br />

Now l 1 min = 46.76 Rs/MWhr, l2 min = 39.92 Rs/MWhr so l2 min < l1 min , therefore as the plant<br />

load increases beyond 54 MW, the load increment will be taken up by unit 2, till both units have<br />

l = 46.76 Rs/MWhr.<br />

At l = l 2 = 46.76 Rs/MWhr,<br />

0.36 P g2 + 32 = 46.76<br />

\ P g2 = 41 MW<br />

Therefore at l = l 1 = l 2 = 46.76 Rs/MWhr,<br />

P D = (32 + 41) = 73 MW.<br />

or 39.92 < l < 46.76<br />

l = 0.36 P g2 + 32 ...(i)<br />

But<br />

P g2 + P g1 min = PD<br />

\ P g2 = P D – 32 ...(ii)<br />

rom eqn. (i) and (ii), we get<br />

\ l = 0.36P D + 20.48 ...(iii)

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