The parameters of a certain linear transformer are R, 100 2. L- 9H, L-4H and k05 The transformer couples an impedance consisting of an 800 2 resistor in series with a 1 uF capacitor to a sinusoidal voltage source. The 300 V (Tms) source has an internal impedance of 500 +j100 N and a frequency of 400 rad/s. a) Construct a frequency-domain equivalent circuit of the system. b) Calculate the self-impedance of the primary circuit. c) Calculate the self-impedance of the secondary circuit.

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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The parameters of a certain linear transformer are R,
100 Q. L =9H, L=4H andk=0,5. The transformer
200 2,
R.
couples an impedance consisting of an 800 Q resistor in series
with a 1 uF capacitor to a sinusoidal voltage source. The 300 V
(rms) source has an internal impedance of 500 +j100 Q and a
frequency of 400 rad s.
a) Construct a frequency-domain equivalent circuit of the system.
b) Calculate the self-impedance of the primary circuit.
c) Calculate the self-impedance of the secondary circuit.
d) Calculate the impedance reflected into the primary winding.
e) Calculate the scaling factor for the reflected impedance.
f) Calculate the impedance seen looking into the primary
terminals of the transformer.
g) Calculate the Thevenin equivalent with respect to the terminals
cd
er Ed ucation. RE A RSCN
Transcribed Image Text:The parameters of a certain linear transformer are R, 100 Q. L =9H, L=4H andk=0,5. The transformer 200 2, R. couples an impedance consisting of an 800 Q resistor in series with a 1 uF capacitor to a sinusoidal voltage source. The 300 V (rms) source has an internal impedance of 500 +j100 Q and a frequency of 400 rad s. a) Construct a frequency-domain equivalent circuit of the system. b) Calculate the self-impedance of the primary circuit. c) Calculate the self-impedance of the secondary circuit. d) Calculate the impedance reflected into the primary winding. e) Calculate the scaling factor for the reflected impedance. f) Calculate the impedance seen looking into the primary terminals of the transformer. g) Calculate the Thevenin equivalent with respect to the terminals cd er Ed ucation. RE A RSCN
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