The fuel cost curve of two generator are given under C1 = 800 + 45 P1 + 0.01 P1² C2 = 2000 + 43 P2 + 0.003 P22 If the total load supplied is 700 MW.Find the opti dispatch(a) with and (b)without considering the generator limits have been expressed as 50 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
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.12P
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The fuel cost curve of two generator are given under
C1 = 800 + 45 P1 + 0.01 P1²
C2 = 2000 + 43 P2 + 0.003 P22
If the total load supplied is 700 MW.Find the opti
dispatch(a) with and (b)without considering the
generator limits have been expressed as
50 MW <P1 < 200 MW
50 MW < P2 < 600 MW
None of these
(а) Рі %3D 110 MW; P2 %3D 590 MW (with
considering generator limits)
(b) P1 = 74.6 MW ; P2 = 625.4 MW (without
%3D
considering generator limits)
(a) P1 = 200 MW; P2= 300 MW (with
considering generator limits)
(b) P1 = 94.6 MW ; P2 = 605.4 MW (without
%3D
considering generator limits)
(а) Р1 %3D 100 MW; P2 3D 600 MW (with
considering generator limits)
(b) P1 = 84.6 MW ; P2 = 615.4 MW (without
considering generator limits)
Transcribed Image Text:The fuel cost curve of two generator are given under C1 = 800 + 45 P1 + 0.01 P1² C2 = 2000 + 43 P2 + 0.003 P22 If the total load supplied is 700 MW.Find the opti dispatch(a) with and (b)without considering the generator limits have been expressed as 50 MW <P1 < 200 MW 50 MW < P2 < 600 MW None of these (а) Рі %3D 110 MW; P2 %3D 590 MW (with considering generator limits) (b) P1 = 74.6 MW ; P2 = 625.4 MW (without %3D considering generator limits) (a) P1 = 200 MW; P2= 300 MW (with considering generator limits) (b) P1 = 94.6 MW ; P2 = 605.4 MW (without %3D considering generator limits) (а) Р1 %3D 100 MW; P2 3D 600 MW (with considering generator limits) (b) P1 = 84.6 MW ; P2 = 615.4 MW (without considering generator limits)
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