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GATE EE 2015 Set 2 — Question 50

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NAT+2 / -0MediumEconomic Load DispatchEconomic Operation & CompensationPower Systems

Power Systems → Economic Operation & Compensation → Economic Load Dispatch

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Question

The incremental costs (in Rupees/MWh) of operating two generating units are functions of their respective powers P1P_1 and P2P_2 in MW, and are given bydC1dP1=0.2P1+50\frac{dC_1}{dP_1} = 0.2P_1 + 50dC2dP2=0.24P2+40\frac{dC_2}{dP_2} = 0.24P_2 + 40where20 MW≤P1≤150 MW20\text{ MW} \leq P_1 \leq 150\text{ MW}20 MW≤P2≤150 MW20\text{ MW} \leq P_2 \leq 150\text{ MW}For a certain load demand, P1P_1 and P2P_2 have been chosen such that dC1/dP1=76 Rs/MWhdC_1/dP_1 = 76\text{ Rs/MWh} and dC2/dP2=68.8 Rs/MWhdC_2/dP_2 = 68.8\text{ Rs/MWh}. If the generations are rescheduled to minimize the total cost, then P2P_2 is ______.
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