Question

Consider an ideal full-bridge single-phase DC-AC inverter with a DC bus voltage magnitude of 1000 V. The inverter output voltage v(t) shown below, is obtained when diagonal switches of the inverter are switched with 50% duty cycle. The inverter feeds a load with a sinusoidal current given by, i(t)=10sin(ωt-π/3),  where ω=2π/t. The active power, in watts, delivered to the load is _____. (round off to nearest integer)

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Answer :

3183 (Range : 3170 to 3190)

Given :

(i) DC bus voltage magnitude Vdc=1000V

(ii) i(t)= 10sin(ω0t-π/3), where ω= 2π/t

The Fourier series expansion of the given voltage v(t) is

v(t)= 

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