Question

Assume that we have the following fuel-cost curves for two generating units: Ci(PGI) = 500 +46 PG1 +0.008 PG. 150 <PG < 500 MW Cz(PG2) = 450+40 PG2 +0.001 PG22 100 P625 600 MW Network losses are related to the generator powers as follows; Pu=0.0008P6r+0.0004 PGZ- Find the optimal dispatch of units and the total cost in dollars/hr when the total load, Pp, is 600 MW.

Answer 1

got given C (Pug) = 500 +26 Pr + .008 Pul C2 (Purn) 2950 40 Peso +0.001 Puz Po - Put P = 600 MW 0 We know that - Dewi 46+ .0168 = 40 + 1002 Pusz .06 pu, - .002 P = -6 8 Pu - Porn = - 3000 ♡ Now solving Pult Pu2=600 8 Pui - Pusz = -3000 9 Pu - - 2900 Pes - - 266.67 Pus = 866.67 150 <Pu, < 500, 1ool Pur <600 - 150 Pu2 = 450 C = 7580 (2² 18652.5