Mathematical analysis of a flying capacitor converter: A sampled-data modeling approach

Michael Margaliot, Alex Ruderman, Boris Reznikov

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


Flying capacitor converters (FCCs) are recently attracting considerable interest because of their inherent natural voltage balancing property. We develop a sampled-data model for a single-phase single-leg three-level FCC. This provides a closed-form expression for the system dynamic behavior after each switching cycle. Analysis of this model provides considerable insight on the FCC and its natural balancing property. In particular, we prove that the natural balancing property indeed holds whenever the switching frequency is sufficiently high. We also rigorously analyze dynamic properties such as the capacitor time constant and relate them to the parameter values of the load, carrier frequency and duty ratio. These results shed light on the intricate relationship between the FCC parameters and its short- and long-term dynamic behavior.

Original languageEnglish
Pages (from-to)682-700
Number of pages19
JournalInternational Journal of Circuit Theory and Applications
Issue number7
Publication statusPublished - Jul 1 2013


  • exponential time constant
  • mathematical modeling of electrical circuits
  • natural balancing
  • sampled-data modeling
  • stability analysis

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics

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