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Short-circuit inductance of a real linear two-winding transformer is inductance measured across the primary or secondary winding when the other winding is short-circuited. The method of measuring the short circuit inductance is described in industrial standard. The industrial standard also stipulates a method for obtaining the coupling factor by combining it with the open circuit inductance value.
Measured primary and secondary short-circuit inductances may be considered as constituent parts of primary and secondary self-inductances. They are derived by using Ho-Thevenin's theorem from the equivalent inductance of the three-terminal equivalent circuit as follows. Then they are related according to the coupling factor as,
Where
Short-circuit inductance measurement is used in conjunction with open-circuit inductance measurements to obtain various derived quantities like k {\displaystyle k} , the inductive coupling factor and σ {\displaystyle \sigma } , the inductive leakage factor. k {\displaystyle k} is derived according to: