Generator 1 G Bus 1 Line 1 Load 1 Bus 2 The information of the system is presented as follows: Generator data: Line 3 Line 2 Bus 3 G Generator 2 Load 2 Line 4 G Bus 4 Load 3 Generator 3 • Generator 1 is located at Bus 1, its maximum capacity is 300 MW, and its cost is $22/MW. Generator 2 is located at Bus 3, its maximum capacity is 300 MW, and its cost is $35/MW. • • Generator 3 is located at Bus 4, its maximum capacity is 300 MW, and its cost is $53/MW. Transmission line data: Line 1 is from Bus 1 to Bus 2, its capacity is 500 MW, and its reactance is 0.1 per unit. • Line 2 is from Bus 1 to Bus 4, its capacity is 176 MW, and its reactance is 0.08 per unit. • Line 3 is from Bus 2 to Bus 3, its capacity is 500 MW, and its reactance is 0.1 per unit. Line 4 is from Bus 3 to Bus 4, its capacity is 500 MW, and its reactance is 0.1 per unit. Load data: • Load 1 is at Bus 2, and it is 123 MW. • Load 2 is at Bus 3, and it is 200 MW. • Load 3 is at Bus 4, and it is 300 MW. The MVA base value is 100 MVA, the big M is 1000. Only a maximum of 1 line can be switched out. What is the total cost of generation for the system in dollars? (Please just enter the number. No need to enter the unit.)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Generator 1 G
Bus 1
Line 1
Load 1
Bus 2
The information of the system is presented as follows:
Generator data:
Line 3
Line 2
Bus 3
G Generator 2
Load 2
Line 4
G
Bus 4
Load 3
Generator 3
• Generator 1 is located at Bus 1, its maximum capacity is 300 MW, and its cost is $22/MW.
Generator 2 is located at Bus 3, its maximum capacity is 300 MW, and its cost is $35/MW.
•
• Generator 3 is located at Bus 4, its maximum capacity is 300 MW, and its cost is $53/MW.
Transmission line data:
Line 1 is from Bus 1 to Bus 2, its capacity is 500 MW, and its reactance is 0.1 per unit.
• Line 2 is from Bus 1 to Bus 4, its capacity is 176 MW, and its reactance is 0.08 per unit.
• Line 3 is from Bus 2 to Bus 3, its capacity is 500 MW, and its reactance is 0.1 per unit.
Line 4 is from Bus 3 to Bus 4, its capacity is 500 MW, and its reactance is 0.1 per unit.
Load data:
•
Load 1 is at Bus 2, and it is 123 MW.
•
Load 2 is at Bus 3, and it is 200 MW.
• Load 3 is at Bus 4, and it is 300 MW.
The MVA base value is 100 MVA, the big M is 1000.
Only a maximum of 1 line can be switched out.
What is the total cost of generation for the system in dollars? (Please just enter the number. No need to enter the unit.)
Transcribed Image Text:Generator 1 G Bus 1 Line 1 Load 1 Bus 2 The information of the system is presented as follows: Generator data: Line 3 Line 2 Bus 3 G Generator 2 Load 2 Line 4 G Bus 4 Load 3 Generator 3 • Generator 1 is located at Bus 1, its maximum capacity is 300 MW, and its cost is $22/MW. Generator 2 is located at Bus 3, its maximum capacity is 300 MW, and its cost is $35/MW. • • Generator 3 is located at Bus 4, its maximum capacity is 300 MW, and its cost is $53/MW. Transmission line data: Line 1 is from Bus 1 to Bus 2, its capacity is 500 MW, and its reactance is 0.1 per unit. • Line 2 is from Bus 1 to Bus 4, its capacity is 176 MW, and its reactance is 0.08 per unit. • Line 3 is from Bus 2 to Bus 3, its capacity is 500 MW, and its reactance is 0.1 per unit. Line 4 is from Bus 3 to Bus 4, its capacity is 500 MW, and its reactance is 0.1 per unit. Load data: • Load 1 is at Bus 2, and it is 123 MW. • Load 2 is at Bus 3, and it is 200 MW. • Load 3 is at Bus 4, and it is 300 MW. The MVA base value is 100 MVA, the big M is 1000. Only a maximum of 1 line can be switched out. What is the total cost of generation for the system in dollars? (Please just enter the number. No need to enter the unit.)
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