Problem 1: Given three utilities A, B, and C with cost characteristics as shown in Table 1. The three utilities are to meet a total system load of 700 MW transmitted over overhead lines with total system losses of 50MW. Table 1. Cost Characteristics Utility a. ($/MWhrz) bo($/MWhr) Co ($) Pmin (MW) Pmax (MW) 2.0 11.00 0.25 100 400 B 2.5 11.50 0.75 75 250 3.0 12.00 50 200 A 0.50 1. Write the economic load dispatch equations. This include: Constrained Cost function (1) and list all constraints The augmented unconstrained cost function (F). 2. Calculate: PD for each utility and check if the constraints are satisfied. If constraints are unsatisfied, re-compute PD. The system incremental cost function, , and explain its meaning. The total cost of the system to provide the needed generation. 3. Compute the maximum power transfer among the three stations if the bus information are as given in the following data sheets as follows: Phase Angle (5-degrees) Bus A B C 45 15 30 Bus-Bus Resistance (pu) 0662 0210 0340 Inductance (pu) .1804 .1097 .0980 A-C B-C Problem 1: Given three utilities A, B, and C with cost characteristics as shown in Table 1. The three utilities are to meet a total system load of 700 MW transmitted over overhead lines with total system losses of 50MW. Table 1. Cost Characteristics Utility a. ($/MWhrz) bo($/MWhr) Co ($) Pmin (MW) Pmax (MW) 2.0 11.00 0.25 100 400 B 2.5 11.50 0.75 75 250 3.0 12.00 50 200 A 0.50 1. Write the economic load dispatch equations. This include: Constrained Cost function (1) and list all constraints The augmented unconstrained cost function (F). 2. Calculate: PD for each utility and check if the constraints are satisfied. If constraints are unsatisfied, re-compute PD. The system incremental cost function, , and explain its meaning. The total cost of the system to provide the needed generation. 3. Compute the maximum power transfer among the three stations if the bus information are as given in the following data sheets as follows: Phase Angle (5-degrees) Bus A B C 45 15 30 Bus-Bus Resistance (pu) 0662 0210 0340 Inductance (pu) .1804 .1097 .0980 A-C B-C