A three-phase transformer has a core shown below. There are three coils, and the number of turns are N₁ = 100; N₂ = 500; N3= 1000). The reluctances of all three paths between points a and b are R₁ R₂ = 9 x 10¹ Aturns/Wb, R3 = 3 x 104 Aturns/Wb. Assume that all of the flux is confined to the = core. (a) Determine the induced voltage at coil 3 if i=0.1 sin(100nt) and i2=0.5sin(100nt) A by using Faraday's Law (e = -5 _da(t)). dt (b) Determine the induced voltage at coil 3 in (a) by using the concept of mutual inductance (e = -M di(t)). dt (c) List four different methods that can double the magnitude of the induced voltage at coil 3. R₁ R₂ O + e₁ N₁ ez R3 N3 N₂

A three-phase transformer has a core shown below. There are three coils, and the number of turns are N₁ = 100; N₂ = 500; N3= 1000). The reluctances of all three paths between points a and b are R₁ R₂ = 9 x 10¹ Aturns/Wb, R3 = 3 x 104 Aturns/Wb. Assume that all of the flux is confined to the = core. (a) Determine the induced voltage at coil 3 if i=0.1 sin(100nt) and i2=0.5sin(100nt) A by using Faraday's Law (e = -5 _da(t)). dt (b) Determine the induced voltage at coil 3 in (a) by using the concept of mutual inductance (e = -M di(t)). dt (c) List four different methods that can double the magnitude of the induced voltage at coil 3. R₁ R₂ O + e₁ N₁ ez R3 N3 N₂

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 3.9P

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