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Economic Dispatch Using Different Methods of Solution Assume that all three of the thermal units described next are running. Find the economic dispatch schedules as requested in each part. Use the method and starting conditions given.
Unit Data
Minimum (MW)
Maximum (MW)
Fuel Cost ($/MBtu)
H1 = 225 + 8.4P1 + 0.0025 P12
45
350
0.80
H2 = 729 + 6.3P2 + 0.0081 P22
1.02
H3 = 400 + 7.5P3 + 0.0025 P32
47.5
450
0.90
a. Use the lambda iteration method to find the economic dispatch for a total demand of 450 MW.
b. Use the base-point and participation factor method to find the economic schedule for a demand of 495 MW. Start from the solution to part a.
c. Use a gradient method to find the economic schedule for a total demand of 500 MW, assuming the initial conditions (i.e., loadings) on the three units are
P1 = P3 = 100Mw and P2 = 300 MW
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