Question

Please do problem #2. I posted both problems 1 and 2 because problem 2 is based on problem 1. Please do part a,b and c. Label each part clearly

(5 points) Given below are the cost curves of 5 generators which are to supply a load of 750 MW: 1. fi -0.01 Pa2+2 Pa+50 f 0.005 P24 P2 +200 f 0.0075 P+1.5 Pe3 +10 S/h f4-0.04 Pgs 0.5 P4+ 150 fs-0.003 P +3 Pgs+ 12S/h S/h S/h S/h Assume that the cost curve coefficient units are a,- S/Mw*h, b,- S/MWh, c S/h. a. Find the incremental fuel cost equation (in S/MWh) for each generator. b. Neglecting system losses (and generator limits), determine the optimal dispatch of each generator (i.e. Pgl, P2, etc.). Find the total cost (i.e fit ft.) of the generation schedule from Part b. c. 2. (5 points) Now assume that each generator in Problem 1 has the following active power generation constraints. 100 s Pp S 500 MW 50 s P 300 MW 25 s Pet S 200 MW 50 Ps150 Mw Find the optimal dispatch of each generator that satisfies the active power generation limits a. b. Find the total operating cost of the generation schedule in Part A c. Calculate the change in operating cost compared to your answer in Problem 1(c). Does enforcing generator limits result in cost savings or a cost increase? Is this what you expected? Why?