A seminumerical transient analysis of switched capacitor converters

Alexander Kushnerov

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


The paper proposes an algebraic approach to transient analysis of switched capacitor converters (SCCs). To this end, the SCC is considered as an analog computer that solves the system of linear equations by an iterative method. The result of each iteration represents a point in the step response, whereas the function between the points is reconstructed. To simplify the derivation of the iterative method, each SCC topology is considered as a first-order circuit. The developed method is written as a recurrence relation and under certain conditions can be reduced to the well-known Kaczmarz method. The theoretical predictions were verified by simulations and experimentally and agree well with the results obtained by the equivalent resistance concept.

Original languageEnglish
Article number6866143
Pages (from-to)814-820
Number of pages7
JournalIEEE Journal of Emerging and Selected Topics in Power Electronics
Issue number4
StatePublished - 1 Dec 2014


  • Analog computers
  • charge pumps
  • convergence of numerical methods
  • discrete-time systems
  • iterative methods
  • switched capacitor circuits

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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