L1 Power Plart T1 L2 City T2 L3 Question 8 A hydropower plant produce 100 MW of power at a voltage of 10 000 volts. L1, L2, L3 represent the transmission line and T1 and T2 the ideal transformer. The transmission lines are made of aluminium with a resistivity of 2.7*10-8 ohm meter and a cross-sectional area of 0.001 m². The transmission lines L1 and L3 are respectively, 0.5 km and 1.5km long. Given that the ratio of the number of turn from the first transformer is 20 (Ns/Np = 20), the voltage at the city is 10 000 Volts and the power consumed by the city is 80 MW find: (a) The power loss in L2. (b) The length of L2. (c) The ratio of the number of turn from T2.

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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L1
Power
Plart
T1
L2
City
T2
L3
Question 8
A hydropower plant produce 100 MW of power at a
voltage of 10 000 volts. L1, L2, L3 represent the transmission line and T1
and T2 the ideal transformer. The transmission lines are made of
aluminium with a resistivity of 2.7*10-8 ohm meter and a cross-sectional
area of 0.001 m². The transmission lines L1 and L3 are respectively, 0.5
km and 1.5km long. Given that the ratio of the number of turn from the
first transformer is 20 (Ns/Np = 20), the voltage at the city is 10 000 Volts
and the power consumed by the city is 80 MW find:
(a) The power loss in L2.
(b) The length of L2.
(c) The ratio of the number of turn from T2.
Transcribed Image Text:L1 Power Plart T1 L2 City T2 L3 Question 8 A hydropower plant produce 100 MW of power at a voltage of 10 000 volts. L1, L2, L3 represent the transmission line and T1 and T2 the ideal transformer. The transmission lines are made of aluminium with a resistivity of 2.7*10-8 ohm meter and a cross-sectional area of 0.001 m². The transmission lines L1 and L3 are respectively, 0.5 km and 1.5km long. Given that the ratio of the number of turn from the first transformer is 20 (Ns/Np = 20), the voltage at the city is 10 000 Volts and the power consumed by the city is 80 MW find: (a) The power loss in L2. (b) The length of L2. (c) The ratio of the number of turn from T2.
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