8. One phase of a 3-phase alternator consists of twelve coils in series. Each coil has an r.m.s. voltage of 10 V induced in it and the coils are arranged in slots so that there is a successive phase displacement of 10 electrical degrees between the e.m.f. in each coil and the next. Find graphically or by calculation, the r.m.s. value of the total phase voltage developed by the winding. If the alternator has six pole and is driven at 100 r.p.m., calculate the frequency of the e.m.f. generated. [ 108 V; 50 Hz]

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter31: Three-phase Alternators
Section: Chapter Questions
Problem 1RQ: What conditions must be met before two alternators can be paralleled together?
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8. One phase of a 3-phase alternator consists of twelve coils in series. Each coil has an r.m.s. voltage of
10 V induced in it and the coils are arranged in slots so that there is a successive phase displacement of
10 electrical degrees between the e.m.f. in each coil and the next. Find graphically or by calculation, the
r.m.s. value of the total phase voltage developed by the winding. If the alternator has six pole and is
driven at 100 r.p.m., calculate the frequency of the e.m.f. generated.
[108 V; 50 Hz]
9. A 4-pole, 50-Hz, 3-phase, Y-connected alternator has a single-layer, full-pitch winding with 21 slots
per pole and two conductors per slot. The fundamental flux is 0.6 Wb and air-gap flux contains a third
harmonic of 5% amplitude. Find the r.m.s. values of the phase e.m.f. due to the fundamental and the
3rd harmonic flux and the total induced e.m.f.
[3,550 V; 119.5 V; 3,553 V] (Elect. Machines-III, Osmania Univ. 1977)
Transcribed Image Text:8. One phase of a 3-phase alternator consists of twelve coils in series. Each coil has an r.m.s. voltage of 10 V induced in it and the coils are arranged in slots so that there is a successive phase displacement of 10 electrical degrees between the e.m.f. in each coil and the next. Find graphically or by calculation, the r.m.s. value of the total phase voltage developed by the winding. If the alternator has six pole and is driven at 100 r.p.m., calculate the frequency of the e.m.f. generated. [108 V; 50 Hz] 9. A 4-pole, 50-Hz, 3-phase, Y-connected alternator has a single-layer, full-pitch winding with 21 slots per pole and two conductors per slot. The fundamental flux is 0.6 Wb and air-gap flux contains a third harmonic of 5% amplitude. Find the r.m.s. values of the phase e.m.f. due to the fundamental and the 3rd harmonic flux and the total induced e.m.f. [3,550 V; 119.5 V; 3,553 V] (Elect. Machines-III, Osmania Univ. 1977)
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