Last two digits (from right) of your registration number = 30
A- Each of the two gas generating units of a certain power system can't run below 90 MW or above 520 MW. The fuel rate equations (in m/h) for the first and the second generating units are as follows: F1 = 0.082P1 + 179P1 + 9190 and F2 = 0.064P2 + 157P2 + 7690. P1 and P2 are in MW. The price of the gas used to run the first generating unit is 0.06XX S/m, where XX are the last two digits (from right) of your registration number.
1- Find the price of the gas for the second generating unit at which the economic dispatch happens with equal sharing for the case of total power at 800 MW. Discuss your result.
2- At this gas price for the second generating unit, find the economic sharing of each of the two generating units for a total power of 700 MW. Discuss your result.
3- Find the savings that occur for the case in point 2 when compared with the case of distributing the total power such that P1 = 200 MW and P2 = 500 MW. Comment on your result.