. For the magnetic circuit given below, the distances constituting the mean core path are given in 'k. There are three coils on the magnetic core. The magnitudes and the directions of the coil currents are given in T'. Cross-sectional area and magnetic permeability of the core are constant and uniform. Number of turns for the coils ('N') are the same. O1, P2 and P3 are the fluxes generated by currents I,, I2 and I3, respectively. a. Sketch the magnetic equivalent circuit of the core. b. Give the parametrical expression for reluctances. Give the parametrical expression for coil MMFS (Amper-Turn). d. Calculate the following ratios; $1/ ¢2 = ? 02/ P3 = ? $1/ ¢z = ? Please mind the winding and current directions for flux calculations. k/2

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 3.1MCQ: The Ohms law for the magnetic circuit states that the net magnetomotive force (mmf) equals the...
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1. For the magnetic circuit given below, the distances constituting the mean core path are given in
'k'. There are three coils on the magnetic core. The magnitudes and the directions of the coil
currents are given in T'. Cross-sectional area and magnetic permeability of the core are constant
and uniform. Number of turns for the coils ('N') are the same. 41, d2 and d3 are the fluxes
generated by currents I,, Iz and I3, respectively.
a. Sketch the magnetic equivalent circuit of the core.
b. Give the parametrical expression for reluctances.
c. Give the parametrical expression for coil MMFS (Amper-Turn).
d. Calculate the following ratios;
$1/ P2 = ?
$2/ P3 = ?
P1/ 03 = ?
t: Please mind the winding and current directions for flux calculations.
k/2
k/2
b/4
N
N
F1
F2
Transcribed Image Text:1. For the magnetic circuit given below, the distances constituting the mean core path are given in 'k'. There are three coils on the magnetic core. The magnitudes and the directions of the coil currents are given in T'. Cross-sectional area and magnetic permeability of the core are constant and uniform. Number of turns for the coils ('N') are the same. 41, d2 and d3 are the fluxes generated by currents I,, Iz and I3, respectively. a. Sketch the magnetic equivalent circuit of the core. b. Give the parametrical expression for reluctances. c. Give the parametrical expression for coil MMFS (Amper-Turn). d. Calculate the following ratios; $1/ P2 = ? $2/ P3 = ? P1/ 03 = ? t: Please mind the winding and current directions for flux calculations. k/2 k/2 b/4 N N F1 F2
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