The fuel-cost curves for a two generators power system are given as follows: G (P1) = 600 + 15 - P1 + 0.05 · (P1)² C2(P2) = 700 + 20 - P2 + 0.04 - (P2)² While the system losses can be approximated as PL = 2 × 10-4(P,)² + 3 × 10-“(P:)² – 4 × 10-“P;P; MW If the system is operating with a marginal cost (2) of $60/hr, determine the out- put of each unit, the total transmission losses, the total load demand, and the total operating cost.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.53P
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The fuel-cost curves for a two generators power system are given as follows:
C¡ (P1) = 600 + 15 · P1 + 0.05 · (P1)²
C2(P2) = 700 + 20 - P2 + 0.04 · (P2)²
%3D
While the system losses can be approximated as
PL = 2 x 10“(P1)² + 3 × 10-ª(P3)² – 4 × 10“P;P2 MW
If the system is operating with a marginal cost (2) of $60/hr, determine the out-
put of each unit, the total transmission losses, the total load demand, and the total
operating cost.
Transcribed Image Text:The fuel-cost curves for a two generators power system are given as follows: C¡ (P1) = 600 + 15 · P1 + 0.05 · (P1)² C2(P2) = 700 + 20 - P2 + 0.04 · (P2)² %3D While the system losses can be approximated as PL = 2 x 10“(P1)² + 3 × 10-ª(P3)² – 4 × 10“P;P2 MW If the system is operating with a marginal cost (2) of $60/hr, determine the out- put of each unit, the total transmission losses, the total load demand, and the total operating cost.
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