Given 3 parallel thermal units U1, U2 and U3 where their input-output fuel functions are as follows: Input-Output function (MBtu/h) Fuel Cost ($/MBtu) 1.0 2.5 1.2 Unit Period jλ, U1U2U3P1 P2 P3 1 7 2 8 3 11 4 12 1 2 H₁ (P₁)=250+ 3*P₁ +0.025*P₁² H₂(P₂) - 140 + 0.8*P₂ +0.006*P₂² H3(P3) = 375 +1.25*P3 +0.01*P3² 3 No start-up costs; no minimum up- or downtime constraints are considered. The Lagrange Relaxation Method is used to solve the unit commitment problem of these 3 units, with the starting A values given in the below table: Min MW Max MW The output power and status of unit 2 in load period 2 is: 100 150 75 200 600 300

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
icon
Related questions
Question
Given 3 parallel thermal units U1, U2 and U3 where their input-output fuel functions are as follows:
Input-Output function (MBtu/h)
Fuel Cost
($/MBtu)
1.0
H₁ (P₁)=250 + 3*P₁ + 0.025*P₁²
H₂(P₂) 140 + 0.8*P₂ +0.006*P₂²
H3(P3) = 375 +1.25*P3 +0.01*P3²
2.5
1.2
Period j U1U2U3P1 P2 P3
1
7
2
8
3 11
12
1
2
3
No start-up costs; no minimum up- or downtime constraints are considered.
The Lagrange Relaxation Method is used to solve the unit commitment problem of these 3 units, with the starting A values given in the below table:
4
Unit
The output power and status of unit 2 in load period 2 is:
Select one:
a. Unit 2 is ON, P2= 200 MW
O b. Unit 2 is OFF, P2 = 0 MW
O c. None of these
O d. Unit 2 is ON, P₂ = 180 MW
Min MW Max MW
100
150
75
200
600
300
Transcribed Image Text:Given 3 parallel thermal units U1, U2 and U3 where their input-output fuel functions are as follows: Input-Output function (MBtu/h) Fuel Cost ($/MBtu) 1.0 H₁ (P₁)=250 + 3*P₁ + 0.025*P₁² H₂(P₂) 140 + 0.8*P₂ +0.006*P₂² H3(P3) = 375 +1.25*P3 +0.01*P3² 2.5 1.2 Period j U1U2U3P1 P2 P3 1 7 2 8 3 11 12 1 2 3 No start-up costs; no minimum up- or downtime constraints are considered. The Lagrange Relaxation Method is used to solve the unit commitment problem of these 3 units, with the starting A values given in the below table: 4 Unit The output power and status of unit 2 in load period 2 is: Select one: a. Unit 2 is ON, P2= 200 MW O b. Unit 2 is OFF, P2 = 0 MW O c. None of these O d. Unit 2 is ON, P₂ = 180 MW Min MW Max MW 100 150 75 200 600 300
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Basic Signals and Its Properties
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,