a 3-phase 16-pole synchronous machine is driven

Question

A 3-phase, 16-pole synchronous machine is driven by a prime mover at a speed of 600-rpm with the stator open circuited. The rotor flux per pole is 0.025-Wb. Determine

(a) the frequency and rms value of the induced voltage in the stator per phase having 450 effective turns;

(b) line voltage for the Y-connected machine.

 Solution:  

(a)    The frequency of the stator voltage is from (1.1): f = pn/60 = 8.600/60 = 80-Hz.

The voltage generated per phase is using (1.4): 

E_φ = 4.44 .80.450.0.025 = 3996 - V ≈ 4 - kV.

(b)   The voltage across the stator terminals (line-to-line) is V_LL = √3. 3996 = 6921.3 -V.