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.Japan Industrial Standard C 5602-1986, pp 34, 4305This value is sometimes imprecisely referred to as leakage inductance 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 k is coupling coefficient L1 is primary self-inductance L2 is secondary self-inductance
Short-circuit inductance measurement is used in conjunction with open-circuit inductance measurements to obtain various derived quantities like , the inductive coupling factor and , the inductive leakage factor. is derived according to:the same k value can be obtained measured from the primary side or from the secondary side
where is the short-circuit measurement of primary or secondary inductance is the corresponding open-circuit measurement of primary or secondary inductance
Other transformer parameters like leakage inductance and mutual inductance which cannot be directly measured may be defined in terms of k.
Short-circuit inductance is one of the parameters that determines the resonance frequency of the magnetic phase synchronous coupling in a resonant transformer and wireless power transfer. Short-circuit inductance is the main component of the current-limiting parameter in leakage transformer applications.
See also Resonant inductive coupling
References
Notes