Rework problem 12.19 except assume the (1000 mathrm{MW}) value also includes losses, and that the penalty factor
Question:
Rework problem 12.19 except assume the \(1000 \mathrm{MW}\) value also includes losses, and that the penalty factor for the first unit is 1.0 , and for the second unit 0.95 .
Data From Problem 12.19:-
The fuel-cost curves for two generators are given as follows:
\[\begin{aligned}& \mathrm{C}_{1}\left(\mathrm{P}_{1}\right)=600+15 \cdot\mathrm{P}_{1}+0.05 \cdot\left(\mathrm{P}_{1}\right)^{2} \\&\mathrm{C}_{2}\left(\mathrm{P}_{2}\right)=700+20 \cdot \mathrm{P}_{2}+0.04\cdot\left(\mathrm{P}_{2}\right)^{2}\end{aligned}\]
Assuming the system is lossless, calculate the optimal dispatch values of \(\mathrm{P}_{1}\) and \(\mathrm{P}_{2}\) for a total load of \(1000 \mathrm{MW}\), the incremental operating cost, and the total operating cost.
Step by Step Answer:
Power System Analysis And Design
ISBN: 9781111425777
5th Edition
Authors: J Duncan Glover, Mulukutla S Sarma, Thomas Overbye