A load centre is at an equidistant from the two thermal generating stations G1 and G2 as shown in the figure. The fuel cost characteristics of the generating stations are given by

\(\begin{array}{l} {F_1} = a + b{P_1} + CP_1^2\frac{{Rs}}{{hour}}\\ {F_2} = a + b{P_2} +2 CP_2^2\frac{{Rs}}{{hour}} \end{array}\)

Where P1 and P2 are the generation in MW of G1 and G2 respectively. For most economic generation to meet 300 MW of Load, P1 and P2 respectively are

1
150, 150
2
100, 120
3
200, 100
4
175, 125

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