14. For a power plant with two units, the weekly load is 1200 MW. The coal consumption Q (tons/hour) for each unit is Q₁=16+.3P₁ tons/hours Q2-25+.4P₂ tons/h The total coal available to the plant is limited to 90,000 tons/week. If the linear cost curves are given as C₁=495+11P₁ $/hour, C₂=760+10P₂ $/hour And generation by each unit is limited to 150 ≤ P₁ ≤ 600MW Determine the values of P₁ and P₂ for minimizing the cost of power generation. " 400 ≤P₂ ≤1000MW

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 2.31P: Consider two interconnected voltage sources connected by a line of impedance Z=jX, as shown in...
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14. For a power plant with two units, the weekly load is 1200 MW. The coal consumption
(tons/hour) for each unit is Q₁ 16+.3P₁ tons/hours
Q2-25+.4P₂ tons/h
The total coal available to the plant is limited to 90,000 tons/week.
If the linear cost curves are given as C₁=495+11P₁ $/hour, C₂-760+10P₂ $/hour
And generation by each unit is limited to 150 ≤ P, ≤ 600MW
Determine the values of P₁ and P₂ for minimizing the cost of power generation.
15. Use LP to determine economic dispatch if C₁ = 5+ 3P₁, C₂ = 7+6P2, C3 = 8 + 9P3
50 P₁ < 150 MW
and
PD=210 MW
If the line flow P12= .3P₁ + .4P₂ + .1P3, also determine P₁, P₂ and P3 so that P₁2 is limited to 70
MW.
1
4
400 ≤ P₂ ≤1000MW
H
2
3
Transcribed Image Text:14. For a power plant with two units, the weekly load is 1200 MW. The coal consumption (tons/hour) for each unit is Q₁ 16+.3P₁ tons/hours Q2-25+.4P₂ tons/h The total coal available to the plant is limited to 90,000 tons/week. If the linear cost curves are given as C₁=495+11P₁ $/hour, C₂-760+10P₂ $/hour And generation by each unit is limited to 150 ≤ P, ≤ 600MW Determine the values of P₁ and P₂ for minimizing the cost of power generation. 15. Use LP to determine economic dispatch if C₁ = 5+ 3P₁, C₂ = 7+6P2, C3 = 8 + 9P3 50 P₁ < 150 MW and PD=210 MW If the line flow P12= .3P₁ + .4P₂ + .1P3, also determine P₁, P₂ and P3 so that P₁2 is limited to 70 MW. 1 4 400 ≤ P₂ ≤1000MW H 2 3
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