GATE EE 2019 Set 1 — Question 65
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Power Electronics → AC-DC Converters → Power & Distortion Factor
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Question
A single-phase fully-controlled thyristor converter is used to obtain an average voltage of 180 V with 10 A constant current to feed a DC load. It is fed from single-phase AC supply of 230 V, 50 Hz. Neglect the source impedance. The power factor (round off to two decimal places) of AC mains is ________.
Correct answer
0.75 to 0.8
Solution
To find the input power factor of the single-phase fully-controlled thyristor converter:
Assuming a lossless converter and neglecting source impedance, the input power equals the output power:
1.Identify given parameters:
- Average output voltage, V
- Constant load current, A
- RMS supply voltage, V
Assuming a lossless converter and neglecting source impedance, the input power equals the output power:
3.Determine RMS Input Current ():
For a single-phase bridge converter with a constant (ripple-free) load current , the input current waveform is a square wave with amplitude . The RMS value of this square wave is:4.Calculate Input Power Factor (PF):
The input power factor is defined as the ratio of real power to apparent power:5.Final Answer:
Rounding off to two decimal places, the power factor is .Continue learning with Success Tracker
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