GATE EE 2014 Set 2 — Question 64
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Power Electronics → Harmonics & AC-AC Converters → AC Voltage Controllers
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Question
A single-phase SCR based ac regulator is feeding power to a load consisting of resistance and inductance. The input supply is , ac. The maximum firing angle at which the voltage across the device becomes zero all throughout and the rms value of current through SCR, under this operating condition, are
Correct answer
(C) 45^ and 23 A
Solution
1.Load Impedance Angle ():
Given , , ..
.
2.Condition for Full Conduction:
In a single-phase AC regulator with an RL load, the voltage across the SCRs becomes zero all throughout when the conduction is continuous. This occurs when the firing angle . The maximum firing angle for this condition is .3.RMS Current Calculation:
At , the regulator behaves as if the load is directly connected to the supply..
The total RMS load current is .
Since each SCR conducts for only one half-cycle, the RMS current through a single SCR is:
.Thus, the values are and , which corresponds to option (C).
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