A system consists of two power plants connected by a transmission line. The only load is located at plant 2. When 200 MW is transmitted from plant 1 to plant 2 power loss in the line is 16 MW. Find the required generation for each plant and the power received by the load when ? for the system is $12.50 per megawatthour. Assume that the incremental fuel costs can be approximated by the following equations: dF1/dP1 = 0.010P1 + 8.5 $/MWh dF2/dP2 = 0.015P2 + 9.5 $/MWh
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Let P1 be the power generated by plant 1 and P2 be the power generated by plant 2. Since 200 MW is transmitted from plant 1 to plant 2, the power received by plant 2 is P2 = P1 + 200 MW. Show more…
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