An electricity generation and distribution system consists of an AC generator, a step-up transformer, transmission lines and a series of step-down transformers providing AC electricity to the end users. The system has the following characteristics: Generator power output = 48.4 MW Generator voltage output = 24.2 kV rms Generator frequency = 50 Hz Transformer efficiency = 100% Step-up transformer loop ratio=1:10 Total resistance of transmission lines = 6.00 2 Series of step-down transformers: effective overall loop ratio = 1000:1 The system is represented in the schematic of Figure below. Assume it is operating at maximum power output. (v) (vi) (vii) Calculate the output power at the secondary coil of the step-up transformer. Calculate the rms current flowing in the secondary coil of the step-up transformer. Determine the power loss in the transmission lines.

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
Chapter14: Power Distribution
Section: Chapter Questions
Problem 14.8P
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An electricity generation and distribution system consists of an AC generator, a step-up transformer,
transmission lines and a series of step-down transformers providing AC electricity to the end users.
The system has the following characteristics:
Generator power output = 48.4 MW
Generator voltage output = 24.2 kV rms
Generator frequency = 50 Hz
Transformer efficiency = 100%
Step-up transformer loop ratio=1:10
Total resistance of transmission lines = 6.00 2
Series of step-down transformers: effective overall loop ratio= 1000:1
The system is represented in the schematic of Figure below. Assume it is operating at maximum
power output.
generator
i
step-up
transformer
NI
resistance of
transmission
lines 6.00 £2
eeeeeeee
[00000000)
step-down
transformer
city
(v)
(vi)
(vii)
(viii)
(ix)
(x)
(xi)
Calculate the output power at the secondary coil of the step-up transformer.
Calculate the rms current flowing in the secondary coil of the step-up transformer.
Determine the power loss in the transmission lines.
Calculate the voltage drop in the transmission lines.
Determine the rms voltage that occurs at the input to the step-down transformer.
What rms voltage occurs at the output of the step-down transformer? Justify your answer.
On graph paper, sketch a graph of 'Voltage output (v)' versus 'Time (s)' for the output of the
step-down transformer. Show two complete cycles.
Transcribed Image Text:An electricity generation and distribution system consists of an AC generator, a step-up transformer, transmission lines and a series of step-down transformers providing AC electricity to the end users. The system has the following characteristics: Generator power output = 48.4 MW Generator voltage output = 24.2 kV rms Generator frequency = 50 Hz Transformer efficiency = 100% Step-up transformer loop ratio=1:10 Total resistance of transmission lines = 6.00 2 Series of step-down transformers: effective overall loop ratio= 1000:1 The system is represented in the schematic of Figure below. Assume it is operating at maximum power output. generator i step-up transformer NI resistance of transmission lines 6.00 £2 eeeeeeee [00000000) step-down transformer city (v) (vi) (vii) (viii) (ix) (x) (xi) Calculate the output power at the secondary coil of the step-up transformer. Calculate the rms current flowing in the secondary coil of the step-up transformer. Determine the power loss in the transmission lines. Calculate the voltage drop in the transmission lines. Determine the rms voltage that occurs at the input to the step-down transformer. What rms voltage occurs at the output of the step-down transformer? Justify your answer. On graph paper, sketch a graph of 'Voltage output (v)' versus 'Time (s)' for the output of the step-down transformer. Show two complete cycles.
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