Lyapunov Characterization and Analysis of the Operating Modes of the AC-DC Ćuk Converter

Nikola Z. Petrovic, Aleksandra Lekic, Dusan M. Stipanovic

Research output: Contribution to journalArticlepeer-review


In this paper, all operating modes of the ac-dc Ćuk converter have been modeled as linear-time invariant systems where some of the modes were not only modeled but also detected for the first time. Another feature provided in this paper is that the converter can be modeled and analyzed as a switching dynamical system controlled by an external constant duty-ratio switching and the internal switchings shown to be related to the minimum among the time derivatives of a common quadratic Lyapunov function. Some representative simulations are provided to illustrate and validate the technical results of this paper.

Original languageEnglish (US)
Article number8486971
Pages (from-to)1318-1328
Number of pages11
JournalIEEE Journal of Emerging and Selected Topics in Power Electronics
Issue number2
StatePublished - Jun 2019


  • AC-DC converter
  • Lyapunov stability analysis
  • switching dynamical systems

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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