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Electrical Machine - IES Academy

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India’s No. 1<br />

<strong>IES</strong> <strong>Academy</strong><br />

Transformer<br />

Chapter-1<br />

Star connection is formed on primary side by connecting together 1 suffixed terminals; 2<br />

suffixed terminals being connected to appropriate lines; the delta is formed by connecting c 1<br />

a 2<br />

,<br />

a 1<br />

b 2<br />

and b 1<br />

c 2<br />

with the lines connected to these junctions being labelled as a, b and c<br />

respectively. The phasor diagram on the delta side shows that the sum of voltage around delta<br />

is zero. This is a must, as otherwise, closed delta would mean a short circuit. It is also<br />

observed from the phasor diagram that phase a to neutral voltage on the star side; this is also<br />

the phase relationship between the respective line-to-line voltage. This connection, therefore,<br />

is known as –30° - connection.<br />

Similarly ± 90°-connections are also possible in the star/delta connection by relabelling the<br />

delta side lines. For example for + 90° connection relabel c → a, b → c and a → b.<br />

Phase transformation ratio → x : 1<br />

Line transformation ratio → √3 : x<br />

Delta/Star (Δ/Y) Connection – (+30° and –30° connection<br />

are obtained)<br />

This connection is simply the interchange of primary and secondary roles in the star/delta<br />

connection. One just interchanges capital and small letter suffixings. Of course what was the –<br />

30°-connection will now be the + 30°-connection and vice versa. If the phase transformation<br />

ratio is x : 1 (delta/star), the transformation ratio for line quantities will be ( x / 3):1.<br />

Phase transformation ratio → x : 1<br />

Line transformation ratio → x/√3:1<br />

Delta/Zig-Zag Star (Δ/Y) Connection – (0° and 180°<br />

connection are obtained)<br />

Phase transformation ratio → x : 1<br />

Line transformation ratio → x : 3/2 or 2/3x:1<br />

Transformer Noise<br />

The hum, leading to noise, originates in the ferromagnetic core of a transformer. The major<br />

cause of noise in transformers is the magnetostriction. When ferromagnetic transformer core is<br />

magnetized, the core length along the alternating flux decreases and increases alternatively,<br />

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