GATE EE 2020 Set 1 — Question 32
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Power Electronics → Inverters → Harmonic Elimination
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Question
A single-phase inverter is fed from a 100 V dc source and is controlled using a quasi-square wave modulation scheme to produce an output waveform, , as shown. The angle is adjusted to entirely eliminate the harmonic component from the output voltage. Under this condition, for , the magnitude of the harmonic component as a percentage of the magnitude of the fundamental component is ________ (rounded off to 2 decimal places).

Correct answer
19.9 to 20.2
Solution
For a quasi-square wave inverter, the peak value of the harmonic component is given by:To eliminate the harmonic component, we set :The magnitude of the fundamental component () is:The magnitude of the harmonic component () is:The ratio of the harmonic to the fundamental is:As a percentage, this is .
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