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7. (a) Explain how scheduling of energy can be done using gradient search technique if there...

7. (a) Explain how scheduling of energy can be done using gradient search
technique if there is limited supply of fuel (13 marks)
(b) The fuel cost functions for three thermal plants in Rs/hr and generator
constraints are given by
C1=510+7.2P1+0.0014 P1 150≤ P1 ≤600
C2=300+7.5P2+0.0016 P2 100≤ P2≤400
C3=80+7.8P3+0.0048 P3 50≤ P3≤200
Where P1, P2 and P3 are in MW. The total load PD is 850 MW. Neglecting losses
determine the economic operating point.

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