A three-winding transformer with Ny-25 turns, N-10 turns, and Ny-5 turns use a magnetic core that has the following properties: A-0.639cm, the magnetic path length of l=3.12cm, and the relative permeability of the material p, = Hu/to = 3,100. A square- wave voltage of 50v amplitude and a frequency of 100 khz, is applied to winding1. This square wave has an average value = OV. a) Calculate and draw the magnetizing current waveform, along with the applied voltage waveform, and the waveforms of the voltages induced in the open windings 2 and3. b) Calculate the peak flux density, Bman c) A load resistance of 12.52 is connected to winding 2. Calculate and draw the currents in winding 1 and 2, along with the voltages at the three windings.

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
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.28MCQ
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A three-winding transformer with N25 turns, Na-10 turns, and
Ny=5 turns use a magnetic core that has the following properties:
An-0.639cm, the magnetic path length of l=3.12cm, and the
relative permeability of the material H, = Hn/He = 3,100. A square-
wave voltage of 50V amplitude and a frequency of 100 khz, is
applied to winding1. This square wave has an average value = 0V.
a) Calculate and draw the magnetizing current waveform, along with the applied voltage
waveform, and the waveforms of the voltages induced in the open windings 2 and3.
b) Calculate the peak flux density, Bmax
c) A load resistance of 12.52 is connected to winding 2. Calculate and draw the currents in
winding 1 and 2, along with the voltages at the three windings.
Transcribed Image Text:A three-winding transformer with N25 turns, Na-10 turns, and Ny=5 turns use a magnetic core that has the following properties: An-0.639cm, the magnetic path length of l=3.12cm, and the relative permeability of the material H, = Hn/He = 3,100. A square- wave voltage of 50V amplitude and a frequency of 100 khz, is applied to winding1. This square wave has an average value = 0V. a) Calculate and draw the magnetizing current waveform, along with the applied voltage waveform, and the waveforms of the voltages induced in the open windings 2 and3. b) Calculate the peak flux density, Bmax c) A load resistance of 12.52 is connected to winding 2. Calculate and draw the currents in winding 1 and 2, along with the voltages at the three windings.
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