A system consists of two generators supplying a load. Generators 1 and 2 have in

Question

A system consists of two generators supplying a load. Generators 1 and 2 have incremental cost curves as indicated below: IC1(Pg1) = 0.04(Pg1) + 2.0 IC2(Pg2) = 0.06(Pg2) + 1.0. and limits of: 10 MW Pg1 100 MW 30 MW . Pg2 100 MW In this system, when the load is 140 MW, what is the dispatch of these two units? In this system, when the load is 190 MW, what is the dispatch of these two units? In this system, under a certain economically dispatched scenario (a scenario different than in part (a) and (b)), it is found that supplying an additional 1 MW costs an additional $5.68/hr. Determine Pg1 and Pg2.

Explanation / Answer

a. Pg1 = 74.0 Pg 2 = 66.0 ? = 4.96 b. Pg1 = 104.0 Pg 2 = 86.0 ? = 6.16 We must re-optimize with the Generator 1 limit taken into consideration c. Pg1=100.0 Pg2=90.0 lemda=6.4; mu=-0.4

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