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Fourier theory of jumps applied to converter harmonic analysis

Tooth, D. and Finney, S.J. and Williams, B.W. (2001) Fourier theory of jumps applied to converter harmonic analysis. IEEE Transactions on Aerospace and Electronic Systems, 37 (1). pp. 109-122. ISSN 0018-9251

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Abstract

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 PSpiceTM simulations and practical results.