Discussion
A three-phase voltage source bridge inverter is connected with input DC voltage of magnitude 400 V and working in \(180^\circ\) conduction mode.
What is the RMS value of the output fundamental line voltage of inverter?
Answer: B
In the 180 degree conduction mode of a three phase bridge inverter, the line voltage is a quasi square wave with the amplitude \(V_{dc}\) and its fundamental component has the RMS value
\[ V_{L1} = \frac{\sqrt{6}}{\pi}V_{dc} = 0.7797\,V_{dc} \]
\[ V_{L1} = 0.7797 \times 400 = 311.88\ \text{V} \]
The RMS value of the whole line voltage (with harmonics) would be \(0.8165 V_{dc} = 326.6\) V, and the rest of the options are factors of 10 away from 311.88 V. The answer is option B.
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