A single-phase voltage-source inverter is controlled in single-pulse-width-modulated mode with a pulse width of 150° in each half-cycle. Total harmonic distortion is defined as $$ \mathrm{THD}=\sqrt{\frac{V_{\mathrm{rms}}^2-V_1^2}{V_1^2}}\times 100, $$ where $V_1$ is the rms value of the

Question

A single-phase voltage-source inverter is controlled in single-pulse-width-modulated mode with a pulse width of 150° in each half-cycle. Total harmonic distortion is defined as $$ \mathrm{THD}=\sqrt{\frac{V_{\mathrm{rms}}^2-V_1^2}{V_1^2}}\times 100, $$ where $V_1$ is the rms value of the fundamental component of the output voltage. The THD of the output AC voltage waveform is:

Accepted Answer

48.42%. In single-pulse PWM, the output waveform has a known Fourier series based on the pulse width. Using the rms value of the waveform and the rms value of the fundamental component, the THD evaluates to 48.42%.

Solution

Related GATE Technical questions