XY=54 b) The magnetic circuit depicted in Figure 3 is a simple 2-winding single-phase AC transformer.coreboFigure 3The core is constructed from transformer steel with μ, = 1100 + 20X,has an effective path length 1 = (190+ 10X)mm and an effectivecross-section A = (55-Y)cm². The windings have N₁ = 300 turns andN₂ = 100 turns.N₁For example:if your number is C1700123, then μ = 1140, 1 = 210mm, A = 52cm²if your number is C1700100, then μ = 1100, L=190mm, A = 55cm²Question 3b continues on the next page-5-Question 3b continued(i)Ignoring flux leakage to the surroundings, sketch an equivalent circuitidentifying the magnetomotive forces, flux and circuit reluctance(ii)Ignoring flux leakage to the surroundings, calculate the total circuitreluctance to the nearest 100A/Wb(iii) Estimate the self-inductance of each winding, and hence the mutualinductance if the coupling factor k=0.95.

X=5, Y=4. Given information, Relative permeability of the core (steel) is μr=1100+20X=1200.…

Question 3b continued (0) Ignoring flux leakage to the surroundings, sketch an equivalent circuit identifying the magnetomotive forces, flux and circuit reluctance (ii) Ignoring flux leakage to the surroundings, calculate the total circuit reluctance to the nearest 100A/Wb (iii) Estimate the self-inductance of each winding, and hence the mutual inductance if the coupling factor k=0.95.

Question 3b continued (0) Ignoring flux leakage to the surroundings, sketch an equivalent circuit identifying the magnetomotive forces, flux and circuit reluctance (ii) Ignoring flux leakage to the surroundings, calculate the total circuit reluctance to the nearest 100A/Wb (iii) Estimate the self-inductance of each winding, and hence the mutual inductance if the coupling factor k=0.95.

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 3.3P: Consider an ideal transformer with N1=3000andN2=1000 turns. Let winding 1 be connected to a source...

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