The GATE Grind

GATE 2017 EE (EE2) – Question 23

Power Electronics · Single-phase and three-phase voltage and current source inverters, sinusoidal pulse width modulation · 1 mark · Multiple choice

A three-phase voltage-source inverter with ideal devices operates in 180° conduction mode into a balanced star-connected resistive load. For DC input $V_{dc}$, the peak fundamental phase voltage is

  1. $V_{dc}/\pi$
  2. $2V_{dc}/\pi$
  3. $3V_{dc}/\pi$
  4. $4V_{dc}/\pi$

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (B) $2V_{dc}/\pi$

Explanation

Each inverter leg's pole voltage relative to the DC midpoint is a square wave of amplitude Vdc/2. Its fundamental sine coefficient is $4(V_{dc}/2)/\pi=2V_{dc}/\pi$.

The floating star point removes common-mode components, including triplen harmonics, but not the balanced fundamental. Therefore the phase-voltage fundamental peak remains **$2V_{dc}/\pi$, B**.

More Single-phase and three-phase voltage and current source inverters, sinusoidal pulse width modulation questions

All Single-phase and three-phase voltage and current source inverters, sinusoidal pulse width modulation questions →