GATE EE 2022 Set 1 — Question 58
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Power Electronics → Inverters → Square Wave Operation
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Question
Consider an ideal full-bridge single-phase DC-AC inverter with a DC bus voltage magnitude of . The inverter output voltage shown below, is obtained when diagonal switches of the inverter are switched with duty cycle. The inverter feeds a load with a sinusoidal current given by, , where . The active power, in watts, delivered to the load is _________. (round off to nearest integer)
Correct answer
3170 to 3190
Solution
Given:
DC bus voltage,
Output voltage is a square wave with amplitude .
The Fourier series expansion of a square wave is:The fundamental component of the output voltage is:Peak value of fundamental voltage,
Load current is given as .
Peak value of current,
Phase difference between fundamental voltage and current, .
Active power is delivered only by the fundamental components at the same frequency:Rounding to the nearest integer, the active power is .
DC bus voltage,
Output voltage is a square wave with amplitude .
The Fourier series expansion of a square wave is:The fundamental component of the output voltage is:Peak value of fundamental voltage,
Load current is given as .
Peak value of current,
Phase difference between fundamental voltage and current, .
Active power is delivered only by the fundamental components at the same frequency:Rounding to the nearest integer, the active power is .
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