Power Electronics Circuits

In sinusoidal PWM for an inverter, which of the following correctly describes how the switches are turned on and off?

  1. AThe switches change state only once per half cycle of the desired output frequency
  2. BWithout a carrier, the on and off states of the switches are chosen at random so that the average of many pulses approaches a sine wave
  3. CThe desired sine wave (reference) is compared with a triangular wave (carrier), and the upper switch is on while the reference is larger
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Answer: C. The desired sine wave (reference) is compared with a triangular wave (carrier), and the upper switch is on while the reference is larger

Sinusoidal PWM compares a sine-wave reference at the desired output frequency with a triangular carrier of much higher frequency. Turning on the upper switch while the reference is larger than the carrier and the lower switch while it is smaller gives a voltage whose pulse widths follow the sine wave. When this voltage is smoothed, for example by the inductance of the motor windings, a sinusoidal component proportional to the reference remains. Switching only once per half cycle is called a square-wave inverter, whose output contains many low-order harmonics.

  • A. This is how a square-wave inverter works, and its output contains many low-order harmonics such as the 5th and 7th.
  • B. Random switching cannot control the magnitude and frequency of the output sine wave accurately.
  • C. Correct. Comparing the reference with the carrier makes the pulse widths follow the sine wave.
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  1. For inverters that make single-phase AC from a DC voltage E, which of the following correctly compares the output voltage of a half bridge (two switches) and a full bridge (four switches)?
  2. An inverter leg on a 600 V DC supply is operated with sinusoidal PWM at a modulation index of 0.8. Which of the following is the amplitude (peak) of the fundamental of the leg output voltage with respect to the midpoint of the DC supply?
  3. A three-phase inverter on a 400 V DC supply is operated with sinusoidal PWM at a modulation index of 1. Which of the following is closest to the RMS value of the fundamental of the output line-to-line voltage?
  4. In a sinusoidal PWM inverter, which of the following correctly describes what happens when the modulation index is made larger than 1 (overmodulation)?
  5. In a PWM inverter driving a motor, which of the following correctly describes the effect of raising the carrier frequency?

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