Transformer with Resistance and Leakage Reactance Calculation

Transformer with Resistance and Leakage Reactance
Transformer with Resistance and Leakage Reactance

What do you mean by the Transformer Resistance and Leakage Rcctance?

The Transformer resistance means the resistance of the primary and secondary winding of the transformer. 

Transformer Leakage Reactance means there is some magnetic leaking in both of the primary and secondary windings that should be equal to inductive coils connected in both primary & secondary windings.

In the figure above, the primary and secondary windings of a transformer with reactances taken out of the windings are shown. 

The primary impedance is given by
Z1 = sqr(R12+X12)


Similarly, secondary impedance is given by
Z2 = sqr(R22+X22)

The resistance and leakage reactance of each winding are responsible for some voltage drop in each winding. 

In the primary, the leakage reactance drop is I1X1(usually 1 or 2% of V1).

Hence,
V1= E1+ I1(R1+jX1) =E1+I1Z1

Similarly, there are I2R2 and I2X2 drops in secondary which combine with V2 to give E2.
E2 = V2 + I2(R2+jX2) =V2+ I2Z2

It may be noted that leakage reactances can also be transferred from one winding to the other in the same way as resistance.


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