An auto-transformer is a transformer with only one winding wound on a laminated core. A part of winding is common to the both primary and secondary circuits.
In a two winding transformer, primary and secondary windings are electrically isolated, but in a auto-transformer the two windings are not electrically isolated.
The winding is wound on laminated silicon steel. Laminations are used to reduce the eddy current losses, whereas, hysteresis loss is reduced by using silicon steel.
According to construction point of view, auto-transformer is divided into two types. In one type of transformers, there is a continuous winding with taps brought out at convenient points determined by the designed secondary voltage. And in other type of auto-transformer, there are two or more different coils which are electrically connected to form a continuous winding. Enamelled copper is used for winding.
A simple arrangement of a step-down auto-transformer is shown in figure, where N1 and N2 are the number of turns between winding AC and winding DC respectively.
When we apply a AC voltage to the primary side of a auto-transformer, the exciting current flows from A to C and it establishes a working m.m.f. directed vertically downward in the core.
When switch S is called, the current in winding BC must flow from C to B, in order to create an m.m.f. opposing the exciting or working m.m.f. , according to Lenz’s Law. Since the working m.m.f. in a transformer remains substantially constant at its no-load value, the primary must draw additional current I, from the source, in order to neutralize the current of ICB. In winding AC, I flows from A to C, whereas in winding BC I2 flows from C to B.
I3 = I2 – I1
m.m.f. of winding AB = I1 (N1 – N2)
= (I2 – I1) N2
= I3N2 = m.m.f. of winding CB
Transformed VA = VABIAB = (V1 – V2) I1
Total input VA to transformer = V1I1 = output VA
Conducted VA = total input VA – transformed VA
= V1I1 – (V1 – V2)I1 = V2I1
Neglecting internal impedance drops and losses
Saving of Copper Cu
Volume and hence weight of Cu, is proportional to length and area of the cross-section of the conducting materials or conductors. Now, length of the conductors is proportional to the number of turns and cross-section depends on current. Hence weight is proportional to the product of the current and number of turns.
∴ Weight of conductor for winding AB ∝ (N1 – N2) I1
Winding BC carries a current (I2 – I1) and has N2 turns
∴ Weight of conductor for winding BC ∝ (I2 – I1) N2
Hence, total weight of conductor in an auto-transformer is
∝ I1(N1 – N2) + N2 (I2 – I1)
∝ 2 (I1N1 – I1N2)
∝ 2 (N1 – N2) I1
If two winding transformer were to perform the same duty, then
Weight of copper on its primary ∝ N1I1
Weight of copper on its secondary ∝ N2I2
∴ Total weight of conductor in a two-winding transformer
∝ N1I1 + N2I2
∝ 2 N1I1
Weight of conductor in auto-transformer = (1-k)(weight of conductor in two-winding transformer)
Saving of conductor material if auto-transformer is used = k X Conductor weight in two-winding transformer.
If k = 0.1, saving of conductor material is only 10% and for k = 0.9, saving of conductor material is 90%. Hence the use of auto-transformer is more economical only when the voltage ratio k is more nearer to unity.
Advantages of Auto-transformers
Disadvantages of Auto-transformers
Applications of auto-transformers