Question

A 50 Hz, 6-pole synchronous generator has 36 slots. It has a two winding with full-pitch coils of eight turns each. The flux per pole is 0.015Wb (Sinusoidally distributed). The induced emf when the coils are connected to form a 2-phase winding is _____V.

• A. 436.84

Answer 1

The correct option is A 436.84
Number of slot/pole/phase, $m=\frac{36}{2\times 6}=3$

Angle between adjacent slot, $\gamma =\frac{{180}^{\circ }\times 6}{36}={30}^{\circ }$

Distribution factor,

$k_d=\frac{\sin \left(\frac{3\times {30}^{\circ }}{2}\right)}{3\sin \left(\frac{{30}^{\circ }}{2}\right)}=0.911$

No. of turns per phase, $N_{ph}=\frac{36\times 8}{2}=144$

Induced emf, $E_{ph}=4.44k_{d}f\varphi N_{ph}$

$=4.44\times 0.911\times 50\times 0.015\times 144$

$E_{ph}=436.84V$