Auto Transformer
It is a
one winding transformer. It works on the principle of self induction.
Physical
arrangement of auto transformer is shown below.
Total
number of turnsbettween A and C are T1.
At point
B a connection is taken. Section AB has T2 turns. As the volts p er turn, which
is proportional to the flux inn the machine, is the same for the whole windin
g,
V1:
V2 = T1: T2
For
simplifying analysis, the magnetizing current of the transformer is neglected.
When the
secondary winding delivers a load current of I2 ampere the
demagnetizing ampere turns is I2T2.
This will
be countered by a current I1 owing from the source through the
T1
turns such that, I1T1 = I2T2
A current
of I1 ampere shows through the winding between B and C . The current
in the winding between A and B is (I2 -I1) ampere.
The cross
section of the wire to be selected for AB is proportional to this current
assuming a constant current density for the whole winding.
Thus some
amount of material saving can be achieved compared to a two winding
transformer. To quantify the saving the total quantity of copper used in an
auto transformer is expressed as a fraction of that used in a two winding trans
former as,
This
means that an auto transformer requires the use of lesser quantity of copper
given by the ratio of turns. This rattio therefore denotes the savings in
copper.
The
equivalent circuit an d phasor diagram of autotransformer are shown in figures
2.14 and 2.15 respectively.
Auto
transformers are u sed in applications where electrical isolation is not a
critical requirement.
The wide
spread application of auto transformer type of arrangement is in obtaining a
variable a.c. voltage from a fixed a.c. voltage supply.
The
secondary voltage is tapped by a brush whose position and hence t he output
voltage is variable.
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