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The cost of two generators (in $) as a function of power (in MW) is given: C₁ = 0.1P+35P₁ + 3200 150 Pi≤300 C₂ = 0.225P+20P2 + 2000 50 P2 <200 C3 = 0.15P3 + 32P3 + 1600 25 ≤ P3 ≤100 If the demand is 600 MW and the total losses in the system are 90 MW, find the optimal dispatch of the three generators that will minimize the generation cost while meeting the demand requirement.

The cost of two generators (in $) as a function of power (in MW) is given: C₁ = 0.1P+35P₁ + 3200 150 Pi≤300 C₂ = 0.225P+20P2 + 2000 50 P2 <200 C3 = 0.15P3 + 32P3 + 1600 25 ≤ P3 ≤100 If the demand is 600 MW and the total losses in the system are 90 MW, find the optimal dispatch of the three generators that will minimize the generation cost while meeting the demand requirement.

Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter23: Resistive-inductive-capacitive Series Circuits
Section: Chapter Questions
Problem 7PP: Is the power factor in Question 6 a leading or lagging power factor? Explain your answer.
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The cost of two generators (in $) as a function of power (in MW) is given: C₁ = 0.1P+35P₁ + 3200 150 Pi≤300 C₂ = 0.225P+20P2 + 2000 50 P2 <200 C3 = 0.15P3 + 32P3 + 1600 25 ≤ P3 ≤100 If the demand is 600 MW and the total losses in the system are 90 MW, find the optimal dispatch of the three generators that will minimize the generation cost while meeting the demand requirement.
Transcribed Image Text:The cost of two generators (in $) as a function of power (in MW) is given: C₁ = 0.1P+35P₁ + 3200 150 Pi≤300 C₂ = 0.225P+20P2 + 2000 50 P2 <200 C3 = 0.15P3 + 32P3 + 1600 25 ≤ P3 ≤100 If the demand is 600 MW and the total losses in the system are 90 MW, find the optimal dispatch of the three generators that will minimize the generation cost while meeting the demand requirement.
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