GATE EE 2014 Set 2 — Question 48
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Electrical Machines → Synchronous Machines → EMF & Armature Reaction
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Question
A 20-pole alternator is having 180 identical stator slots with 6 conductors in each slot. All the coils of a phase are in series. If the coils are connected to realize single-phase winding, the generated voltage is . If the coils are reconnected to realize three-phase star-connected winding, the generated phase voltage is . Assuming full pitch, single-layer winding, the ratio is
Correct answer
(D) 2
Solution
Given: Poles , Slots .
Slots per pole .
Slot angle .Case 1: Single-phase connection
Slots per pole per phase .
Distribution factor .
Generated voltage , where is the total number of turns.Case 2: Three-phase connection
Slots per pole per phase .
Distribution factor .
Number of turns per phase .
Generated phase voltage .Ratio:
.
Slots per pole .
Slot angle .Case 1: Single-phase connection
Slots per pole per phase .
Distribution factor .
Generated voltage , where is the total number of turns.Case 2: Three-phase connection
Slots per pole per phase .
Distribution factor .
Number of turns per phase .
Generated phase voltage .Ratio:
.
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