GATE EE 2016 Set 1 — Question 54
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Power Electronics → Inverters → Sinusoidal PWM
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Question
The switches T1 and T2 in Figure (a) are switched in a complementary fashion with sinusoidal pulse width modulation technique. The modulating voltage V and the triangular carrier voltage () are as shown in Figure (b). The carrier frequency is 5 kHz. The peak value of the 100 Hz component of the load current (), in ampere, is ________ .
Correct answer
9.9 to 10.1
Solution
1.Identify Modulation Parameters:
The modulation index is given by the ratio of the peak modulating voltage to the peak carrier voltage:2.Calculate Fundamental Output Voltage:
For a half-bridge inverter using SPWM, the peak value of the fundamental component of the output voltage is:From Figure (a), V.
V.
3.Determine Fundamental Frequency:
The modulating voltage is .The angular frequency is rad/s.
The frequency is Hz.
4.Calculate Load Impedance at 100 Hz:
The load consists of and at 100 Hz.The magnitude of the impedance is:
.
5.Calculate Peak Load Current:
The peak value of the 100 Hz component of the load current is:A.
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