If a 3 phase, 25 kV (L-L), 50Hz Star connected synchronous generator runs at 1000 rpm. Then, the number of poles and voltage per phase is _______ & ________ respectively.Select one:a.6 poles, 15080.8 Vb.6 poles, 13334.5 Vc.12 poles, 15008 Vd.6 poles, 14433.7 V
Question
If a 3 phase, 25 kV (L-L), 50Hz Star connected synchronous generator runs at 1000 rpm. Then, the number of poles and voltage per phase is _______ & ________ respectively.Select one:a.6 poles, 15080.8 Vb.6 poles, 13334.5 Vc.12 poles, 15008 Vd.6 poles, 14433.7 V
Solution
The number of poles in a synchronous generator can be calculated using the formula:
P = 120f/N
where: P = number of poles f = frequency N = speed in rpm
Substituting the given values:
P = 120*50/1000 P = 6 poles
So, the generator has 6 poles.
The line-to-line voltage (VLL) in a star connection is √3 times the phase voltage (Vph). So, we can find the phase voltage using the formula:
Vph = VLL/√3
Substituting the given line-to-line voltage (25 kV = 25000 V):
Vph = 25000/√3 Vph = 14433.7 V
So, the phase voltage is 14433.7 V.
Therefore, the correct answer is d. 6 poles, 14433.7 V.
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