1) Three scheduled generating units have the following input-output curves:H1 (p1) = 80 + 6p1 + 0.015píH2 (p2) = 120+4p2 + 0.02p, 30 MW < P2 < 200MWНз (Рз) — 100 + 5рзUnit 1:30 MW < p1 < 150MWUnit 2:Unit 330 MW < P3 < 200MWThe fuel costs are 15 $/MBtu for units 1 and 2 and 17 $/MBtu for unit 3. The sum of the generatoroutputs 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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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 12.10P

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