Given the ratio of wL/R, the plots of rms line current, the rms of fundamental

of line current, the Total Harmonic Distortion in the line current, the average

bridge output voltage, the rms bridge output voltage and the Ripple factor

of the bridge output voltage are obtained as a function of firing angle, a. The

firing angle is varied from 0o to 171o.

The ratio is specified

Impedance is calculated, assuming that R = 1.

The coefficient that is present in the expression for load current is computed

as a function of firing angle.

Load current at wt = p is obtained as a function of firing angle.

Next the rms line current is obtained as a function of firing angle.

The trigonometric coefficients of the fundamental are obtained(Fourier series)

Since the line current has half-wave symmetry, the coefficients can be

calculated as shown below.

The function displayed above calculates the rms value of the fundamental

component of line current.

Next the Total Harmonic Distortion is expressed as a function of firing angle.

Next the range for firing angle is specified.

In addition to the plot of Total Harmonic Distortion, the plots of rms line current

and the rms value of fundmental component of line current are displayed as

functions of firing angle.

Next the average voltage of the bridge is obtained as a function of firing

angle.

Next the rms voltage of the bridge is obtained as a function of firing

angle.

The Ripple Factor of the bridge output voltage is obtained next as a firing

angle.