Question: Consider three generators whose cost characteristics and capacity limits are given below. Cost Characteristics Limits, MW Unit 1 2 3 G(P) 25 +3.5P 100

Consider three generators whose cost characteristics and capacity limits are given below.

Consider three generators whose cost characteristics and capacity limits are given below. Cost Characteristics Limits, MW Unit 1 2 3 G(P) 25 +3.5P 100 P 650 = 60 P 400 C (P) 48 +6.2P C3 (P3) 33+ 4.35P3 100 P 500 The system demand is 1000 MW. The system loss function is expressed as, PLoss = 0.00015P+0.00008P2 +0.0001P3 Find the following: a) The optimal generation schedule that minimizes the total generation cost while satisfying all generation limits, and ignoring transmission losses. Find the system marginal cost. b) The optimal generation schedule that minimizes the total system losses while satisfying all generation limits. Find the system marginal loss. c) Examine the solutions obtained in (a) and (b) and comment what would be the appropriate objective for the economic operation of this particular system. =

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