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: (i) (ii) Generator power output-48.4 MW Generator voltage output-24.2 kV rms Generator frequency - 50 Hz Transformer efficiency - 100% The system is represented in the schematic of Figure below. Assume it is operating at maximum power output. (iii) (iv) 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 generator I step-up transformer resistance of transmission lines 6.00 12 step-down transformer Determine the peak-to-peak voltage of the output of the generator. On a graph paper provided, sketch a graph of 'Voltage output (kV) versus Time (s)' for the generator. Show two complete cycles. Determine the rms current in the primary coil of the step-up transformer. If there are 20 turns of wire in the primary coil of the step-up transformer, how many turns of wire are in the secondary coil of the step-up transformer? Justify your answer.

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 2.16P: A single-phase, 120V(rms),60Hz source supplies power to a series R-L circuit consisting of R=10 and...
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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:
The system is represented in the schematic of Figure below. Assume it is operating at maximum
power output.
(i)
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
Series of step-down transformers: effective overall loop ratio - 1000:1
(iii)
(iv)
generator
step-up
transformer
resistance of
transmission
lines 6.00 12
T
step-down
transformer
city
Determine the peak-to-peak voltage of the output of the generator.
On a graph paper provided, sketch a graph of 'Voltage output (kV) versus 'Time (s)' for the
generator. Show two complete cycles.
Determine the rms current in the primary coil of the step-up transformer.
If there are 20 turns of wire in the primary coil of the step-up transformer, how many turns of
wire are in the secondary coil of the step-up transformer? Justify your answer.
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: The system is represented in the schematic of Figure below. Assume it is operating at maximum power output. (i) 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 Series of step-down transformers: effective overall loop ratio - 1000:1 (iii) (iv) generator step-up transformer resistance of transmission lines 6.00 12 T step-down transformer city Determine the peak-to-peak voltage of the output of the generator. On a graph paper provided, sketch a graph of 'Voltage output (kV) versus 'Time (s)' for the generator. Show two complete cycles. Determine the rms current in the primary coil of the step-up transformer. If there are 20 turns of wire in the primary coil of the step-up transformer, how many turns of wire are in the secondary coil of the step-up transformer? Justify your answer.
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