GATE EE 2018 Set 1 — Question 64
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Electrical Machines → Single-Phase Induction Motors → Equivalent Circuit
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Question
The equivalent circuit of a single phase induction motor is shown in the figure, where the parameters are , and is the slip. At no-load, the motor speed can be approximated to be the synchronous speed. The no-load lagging power factor of the motor is___________ (up to 3 decimal places).
Correct answer
0.104 to 0.112
Solution
At no-load, the slip .
Forward branch impedance : Since , . Thus, .
Backward branch impedance : At , the branch is in parallel with .
.
Total input impedance .
The power factor is .
Forward branch impedance : Since , . Thus, .
Backward branch impedance : At , the branch is in parallel with .
.
Total input impedance .
The power factor is .
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