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 × 104 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 i₁=0.1 sin(100nt) and i2=0.5sin(100tt) A by using dλ(t)). Faraday's Law (e = - dt (b) Determine the induced voltage at coil 3 in (a) by using the concept of mutual inductance (e = di(t)). -M (c) List four different methods that can double the magnitude of the induced voltage at coil 3. R₁ R₂ + e₁ i₁ N₁ 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 × 104 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 i₁=0.1 sin(100nt) and i2=0.5sin(100tt) A by using dλ(t)). Faraday's Law (e = - dt (b) Determine the induced voltage at coil 3 in (a) by using the concept of mutual inductance (e = di(t)). -M (c) List four different methods that can double the magnitude of the induced voltage at coil 3. R₁ R₂ + e₁ i₁ N₁ 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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