A loss less power system has to serve a load of 250 MW. There are tow generation (G₁ and G₂) in the system with cost curves C₁ and C₂ respectively defined as follows; C₁ (PG1) PG1 + 0.055 × P²1 C₂ (PG2) = 3PG2 + 0.03 × P²2 = Where PG1 and PG2 are the MW injections from generator G₁ and G₂ respectively. Thus, the minimum cost dispatch will be O O O O PG1 = 250 MW; PG2 = 0 MW PG1 PG1 = = 150 MW; PG2 100 MW; PG2 PG1 = 0 MW; PG2 = 100 MW = = 150 MW : 250 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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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A loss less power system has to serve a load of
250 MW. There are tow generation (G₁ and G₂) in
the system with cost curves C₁ and C₂
respectively defined as follows;
C₁ (PG1) = PG1 + 0.055 × P²1
C₂ (PG2) = 3PG2 + 0.03 × P²2
Where PG1 and PG2 are the MW injections from
generator G₁ and G₂ respectively. Thus, the
minimum cost dispatch will be
O
O
O
O
PG1
PG1
=
=
PG1 =
250 MW; PG2 = 0 MW
150 MW; PG2
100 MW; PG2
PG1 = 0 MW; PG2
=
100 MW
= 150 MW
= 250 MW
Transcribed Image Text:A loss less power system has to serve a load of 250 MW. There are tow generation (G₁ and G₂) in the system with cost curves C₁ and C₂ respectively defined as follows; C₁ (PG1) = PG1 + 0.055 × P²1 C₂ (PG2) = 3PG2 + 0.03 × P²2 Where PG1 and PG2 are the MW injections from generator G₁ and G₂ respectively. Thus, the minimum cost dispatch will be O O O O PG1 PG1 = = PG1 = 250 MW; PG2 = 0 MW 150 MW; PG2 100 MW; PG2 PG1 = 0 MW; PG2 = 100 MW = 150 MW = 250 MW
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