Fourier theory of jumps applied to converter harmonic analysis

D. Tooth, S.J. Finney, B.W. Williams

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)109-122
Number of pages13
JournalIEEE Transactions on Aerospace and Electronic Systems
Issue number1
Publication statusPublished - 2001


  • AC-DC power convertors
  • Fourier analysis
  • PWM power convertors
  • harmonic analysis
  • control systems


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