7.8. The fuel-cost functions in $/h for three thermal plants are given by C₁ = 350 +7.20P₁ +0.0040P² C₂ = 500+ 7.30P₂ +0.0025P² 600 +6.74P3 +0.0030P² C3 = where P₁, P2, and P3 are in MW. The governors are set such that generators share the load equally. Neglecting line losses and generator limits, find the total cost in $/h when the total load is (i) PD= 450 MW

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
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.16P: A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and...
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7.8. The fuel-cost functions in $/h for three thermal plants are given by
C₁ = 350 +7.20P1₁ +0.0040P²
C₂ = 500+ 7.30P₂ +0.0025P²
600 +6.74P3 +0.0030P3
C3
=
where P₁, P2, and P3 are in MW. The governors are set such that generators
share the load equally. Neglecting line losses and generator limits, find the
total cost in $/h when the total load is
(i) PD= 450 MW
Transcribed Image Text:7.8. The fuel-cost functions in $/h for three thermal plants are given by C₁ = 350 +7.20P1₁ +0.0040P² C₂ = 500+ 7.30P₂ +0.0025P² 600 +6.74P3 +0.0030P3 C3 = where P₁, P2, and P3 are in MW. The governors are set such that generators share the load equally. Neglecting line losses and generator limits, find the total cost in $/h when the total load is (i) PD= 450 MW
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