2.12 A high-voltage direct-current generating station delivers 10 MW of power at 250 kV to a city, as depicted in Fig. P2.12. The city is represented by resistance RL and each of the two wires of the transmission line between the generating station and the city is represented by resistance RTL. The distance between the two locations is 2000 km and the transmission lines are made of 10 cm diameter copper wire. Determine (a) how much power is consumed by the transmission line and (b)

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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Have a good idea on how to do the first part in that I found the resistance than used this with the known voltage to calculate the power. Unsure on part b however in that I don't know how to calculate the cities resistance to compare it to the total power output to it.

2.12 A high-voltage direct-current generating station delivers
10 MW of power at 250 kV to a city, as depicted in Fig. P2.12.
The city is represented by resistance R1 and each of the two
wires of the transmission line between the generating station
and the city is represented by resistance RTL. The distance
between the two locations is 2000 km and the transmission
lines are made of 10 cm diameter copper wire. Determine (a)
how much power is consumed by the transmission line and (b)
PROBLEMS
what fraction of the power generated by the generating station
is used by the city.
Vo
RL (city)
RTL
Station
-2000 km-
Figure P2.12: Diagram for Problem 2.12.
+
Transcribed Image Text:2.12 A high-voltage direct-current generating station delivers 10 MW of power at 250 kV to a city, as depicted in Fig. P2.12. The city is represented by resistance R1 and each of the two wires of the transmission line between the generating station and the city is represented by resistance RTL. The distance between the two locations is 2000 km and the transmission lines are made of 10 cm diameter copper wire. Determine (a) how much power is consumed by the transmission line and (b) PROBLEMS what fraction of the power generated by the generating station is used by the city. Vo RL (city) RTL Station -2000 km- Figure P2.12: Diagram for Problem 2.12. +
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