Fourier theory of jumps applied to converter harmonic analysis

The Fourier theory of jumps (FTJ) is demonstrated as an aid in deriving closed-form analytical equations for converter switching harmonics. The switching waveforms analyzed are the input current and output voltage and current of a three-phase, ac-dc, step-down, dead-band pulsewidth modulated (PWM), unity power factor converter. The input current closed-form harmonic equation is derived for two parallel-connected, interleaved-PWM converters supplying the same load and sharing a common input filter. The equations are compared with PSpice^TM simulations and practical results