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A power system is supplied from three generating units that have the following cost functions: Unit A : 13+1.3 Pa +0.037 P2 [$/h] Unit B : 23 +1.7 Pb + 0.061 PB ($/h] Unit C: 19+1.87 Pc +0.01 P2 ($/h] a. How should these units be dispatched if a load of 380 MW is to be supplied at minimum cost? b. If, beyond supplying a 380-MW load, the system can export (sell) energy to the neighboring country in which the system marginal costs is 10.65 $/MWh. What is the optimal amount of power that should be exported? c. Repeat problem (b) if the outputs of the generating units are limited as PMAX = 110 MW follows: PMAX = 85 MW PMAX = 266 MW
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