1) Three scheduled generating units have the following input-output curves: Unit 1: Unit 2: Unit 3 H1 (p1) = 80 + 6p1 + 0.015p | 30 MW < pi < 150MW = 120 + 4p2 + 0.02p; | 30 MW < pɔ < 200MW 30 MW < p3 < 200MW H2 (P2) H3 (p3) = 100 + 5p3 The fuel costs are 15 $/MBtu for units 1 and 2 and 17 $/MBtu for unit 3. The sum of the generator putputs equals the demand, i.e. Pd = p1 + P2 + P3. Find and tabulate the generator outputs for a demand levels of pd = 100, 200, 300, and 400 MW. Also tabulate A the Lagrange multiplier for the power balance constraint for these 4 demand levels.
1) Three scheduled generating units have the following input-output curves: Unit 1: Unit 2: Unit 3 H1 (p1) = 80 + 6p1 + 0.015p | 30 MW < pi < 150MW = 120 + 4p2 + 0.02p; | 30 MW < pɔ < 200MW 30 MW < p3 < 200MW H2 (P2) H3 (p3) = 100 + 5p3 The fuel costs are 15 $/MBtu for units 1 and 2 and 17 $/MBtu for unit 3. The sum of the generator putputs equals the demand, i.e. Pd = p1 + P2 + P3. Find and tabulate the generator outputs for a demand levels of pd = 100, 200, 300, and 400 MW. Also tabulate A the Lagrange multiplier for the power balance constraint for these 4 demand levels.
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
Chapter12: Power System Controls
Section: Chapter Questions
Problem 12.13P
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![1) Three scheduled generating units have the following input-output curves:
H1 (p1) = 80 + 6p1 + 0.015pí
H2 (p2) = 120+4p2 + 0.02p, 30 MW < P2 < 200MW
Нз (Рз) — 100 + 5рз
Unit 1:
30 MW < p1 < 150MW
Unit 2:
Unit 3
30 MW < P3 < 200MW
The fuel costs are 15 $/MBtu for units 1 and 2 and 17 $/MBtu for unit 3. The sum of the generator
outputs equals the demand, i.e. Pd = P1 +p2+ p3.
Find and tabulate the generator outputs for a demand levels of pd = 100, 200, 300, and 400 MW.
Also tabulate A the Lagrange multiplier for the power balance constraint for these 4 demand levels.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F895ab329-3724-4da1-a514-6060b442ff1b%2F492533db-2769-4281-9585-2be5a4833fdf%2Fzcey4fr_processed.png&w=3840&q=75)
Transcribed Image Text:1) Three scheduled generating units have the following input-output curves:
H1 (p1) = 80 + 6p1 + 0.015pí
H2 (p2) = 120+4p2 + 0.02p, 30 MW < P2 < 200MW
Нз (Рз) — 100 + 5рз
Unit 1:
30 MW < p1 < 150MW
Unit 2:
Unit 3
30 MW < P3 < 200MW
The fuel costs are 15 $/MBtu for units 1 and 2 and 17 $/MBtu for unit 3. The sum of the generator
outputs equals the demand, i.e. Pd = P1 +p2+ p3.
Find and tabulate the generator outputs for a demand levels of pd = 100, 200, 300, and 400 MW.
Also tabulate A the Lagrange multiplier for the power balance constraint for these 4 demand levels.
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