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Transformer Basics

# Transformer Basics - Transformer Basics M Giesselmann A...

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A real transformer is modeled by adding resistors and non-coupled inductors to the ideal transformer. Z 1 N 1 N 2 2 Z 2 = An impedance Z 2 on the secondary of an ideal transformer reflects to the primary side as: Ratio of input and output Impedances of Ideal Transformer Z 2 V 2 I 2 = V 1 a I 1 a = V 1 a 2 I 1 = Z 1 a 2 = Current Ratio as a Function of Turns Ratio of Ideal Transformer I 1 I 2 N 2 N 1 = 1 a = Voltage Ratio as a Function of Turns Ratio of Ideal Transformer V 1 V 2 N 1 N 2 = a = V 1 I 1 V 2 I 2 = P 1 P 2 = From the equations above the power balance follows: I 1 I 2 N 2 N 1 = considering the balance of excitation N 1 I 1 =N 2 I 2 we get: V 1 V 2 N 1 N 2 = Given a transformer with turns N 1 and N 2 with common mutual flux: Let's start with the basic equations for an ideal transformer: VN t Φ Mutual d d = The basic equation describing induction of a voltage in a transformer coil is: A transformer consists of 2 or more windings on a common magnetic core:

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Transformer Basics - Transformer Basics M Giesselmann A...

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