An Analytical Time-Domain Expression for the Net Ripple Produced by Parallel Interleaved Converters

Brian Johnson, Philip Krein

Research output: Contribution to journalArticlepeer-review

6 Scopus Citations

Abstract

We apply modular arithmetic and Fourier series to analyze the superposition of N interleaved triangular waveforms with identical amplitudes and duty-ratios. Here, interleaving refers to the condition when a collection of periodic waveforms with identical periods are each uniformly phase-shifted across one period. The main result is a time-domain expression which provides an exact representation of the summed and interleaved triangular waveforms, where the peak amplitude and parameters of the time-periodic component are all specified in closed-form. Analysis is general and can be used to study various applications in multi-converter systems. This model is unique not only in that it reveals a simple and intuitive expression for the net ripple, but its derivation via modular arithmetic and Fourier series is distinct from prior approaches. The analytical framework is experimentally validated with a system of three parallel converters under time-varying operating conditions.
Original languageAmerican English
Pages (from-to)289-293
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Volume64
Issue number3
DOIs
StatePublished - 2017

NREL Publication Number

  • NREL/JA-5D00-66257

Keywords

  • dc-dc converters
  • Fourier analysis
  • interleaving
  • inverters
  • modular arithmetic
  • parallel converters

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