Consider a real transformer with magnetizing inductance and leakage inductances

Question

Consider a real transformer with magnetizing inductance and leakage inductances (primary and secondary self-inductances):

What would be the inductance (expressed in relation to the 3 inductances and number of turns in coil) in the following points:

A) in the primary winding with the secondary winding open

B) in the primary winding with the secondary winding in short circuit

C)in the secondary winding with the primary winding open

D)in the secondary winding with the primary winding in short circuit

Explanation / Answer

A) secondary winding open means primary winding in series with mulual inductance
so resultant inductance = L 11 +L mp

B)

WHEN SECONDARY WINDING IS SHORTED MEANS

SECONDARY WINDING IS SHORTED WITH MUTUAL INDUCTANCE

SO RESULTANT INDUCTANCE = PRIMARY INDUCTANCE 11

c)primary winding open means secondary winding in series with mulual inductance
so resultant inductance = L 22 +L mp

d)

WHEN PRIMARY WINDING IS SHORTED MEANS

PRIMARY WINDING IS SHORTED WITH MUTUAL INDUCTANCE

SO RESULTANT INDUCTANCE = SECONDARY INDUCTANCE 22

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