Ideal Transformer

Ideal transformer characteristics

(1) Windings have zero resistance. It means there is no ohmic power loss and no resistive voltage drop.
(2) The core loss (hysteresis as well as eddy-current loss) is zero.
(3) There is no leakage flux. i.e all the flux is confined to the core and links both the windings.
(4) The core has infinite permeability i.e No magnetizing current is needed to estaiblish the required amount of flux.




Ideal transformer equivalent circuit

Below shown is the equivalent circuit of a practical transformer.

equivalent circuit of a practical transformer


Lets apply ideal transformer characteristics into this circuit to get equivalent circuit for ideal transformer.

(1) Windings have zero resistance i.e R1=R2=0



(2) Core loss is zero i.e Core loss component of current is zero or RC is infinite.  



(3) There is no leakage flux i.e X1=X2=0





(4) Core has infinite permeability i.e magnetizing component of current is zero or Xm=0.



We get the equivalent circuit of ideal transformer as shown below.

equivalent circuit of ideal transformer


From above circuit, we can write equations of ideal transformer as


equations of ideal transformer



Ideal transformer on no load

Above diagram shows ideal transformer with secondary open and its phasor diagram.


Ideal transformer on no load



Ideal transformer on load



Let a lagging power factor load ( let impedance angle be Ï´2 ) be connected to ideal transformer shown below. Corresponding phasor diagram is also shown.

Ideal transformer on load


It is clear from phasor diagram that the source power factor angle Ï´1 is decided by the load power factor angle Ï´2  and is always equal to it.

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