A single-phase voltage source inverter is controlled in

A single-phase voltage source inverter is controlled in a single pulse-width modulated mode with a pulse width of 150° in each half cycle. Total harmonic distortion is defined as
THD = √V_rms² - V₁² × 100
V₁

where V₁ is the rms value of the fundamental component of the output voltage. The THD of output ac voltage wave form is

Pulse width, 2d = 150°

d = 75° =	75°	radian = 1.315 radian
	57°

RMS value of output voltage,

Output voltage in terms of fourier series,

RMS value of fundamental component of output voltage,

V₁ =	1		4V_s	sin 75°		= 0.78 V_s
	√2		π

then, total harmonic distortion,

= 31.83%

THD =	√V_rms² - V₁²	× 100
	V₁