Sinusoidal PWM (SPWM) for inverters – pulse widths In sinusoidal PWM control of voltage-source inverters, are the widths of the individual gating pulses within a half cycle all equal?

Difficulty: Easy

Correct Answer: False

Explanation:


Introduction / Context:
Sinusoidal PWM (SPWM) shapes the fundamental output and controls harmonics by comparing a high-frequency triangular carrier with a low-frequency sinusoidal modulating signal. The resulting pulse widths convey the sinusoidal information to the load after filtering.


Given Data / Assumptions:

  • Voltage-source inverter using carrier-based SPWM.
  • Constant switching frequency carrier (triangular wave).
  • Sinusoidal reference for desired fundamental.


Concept / Approach:

Where the sinusoidal reference exceeds the carrier, the switch turns on; where it is lower, it turns off. Because the sinusoid varies over the half-cycle, the intersections occur at non-uniform points, creating pulses whose widths increase near the sine peak and decrease toward the zero crossings.


Step-by-Step Solution:

Compare sinusoidal modulating wave v_m(t) with triangular carrier v_c(t).When v_m(t) > v_c(t), gate = on; otherwise, gate = off.Since v_m(t) changes continuously, each pulse width differs, following the sine envelope.


Verification / Alternative check:

SPWM spectra show a controllable fundamental with sidebands around multiples of the carrier; equal pulse width would correspond to square-wave or uniform PWM, not sinusoidal PWM.


Why Other Options Are Wrong:

  • “True” would imply uniform pulse width, which is not how SPWM encodes the sinusoid.


Common Pitfalls:

Confusing SPWM with fixed-width, variable-position schemes, or with selective harmonic elimination where a few notches are placed deliberately.


Final Answer:

False

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