Phase synchronized quasiperiodicity in power electronic inverter systems

Zhanybai T. Zhusubaliyev, Erik Mosekilde, Alexey I. Andriyanov, Vladimir V. Shein

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Abstract

The development of switch-mode operated power electronic converter systems has provided a broad range of new effective approaches to the conversion of electric power. In this paper we describe the transitions from regular periodic operation to quasiperiodicity and high-periodic resonance behavior that can be observed in a pulse-width modulated DC/AC converter operating with high feedback gain. We demonstrate the occurrence of two different types of torus birth bifurcations and present a series of phase portraits illustrating the appearance of phase-synchronized quasiperiodicity. Our numerical findings are verified through comparison with an experimental inverter system. The results shed light on the transitions to quasiperiodicity and to various forms of three-frequency dynamics in non-smooth systems.
Original languageEnglish
JournalPhysica D: Nonlinear Phenomena
Volume268
Pages (from-to)14-24
ISSN0167-2789
DOIs
Publication statusPublished - 2014

Keywords

  • DC/AC converter
  • Piecewise-smooth systems
  • Border-collision bifurcations
  • Torus-birth bifurcations
  • Phase synchronized quasiperiodicity
  • Complex mode distortion

Cite this

Zhusubaliyev, Zhanybai T. ; Mosekilde, Erik ; Andriyanov, Alexey I. ; Shein, Vladimir V. / Phase synchronized quasiperiodicity in power electronic inverter systems. In: Physica D: Nonlinear Phenomena. 2014 ; Vol. 268. pp. 14-24.
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Phase synchronized quasiperiodicity in power electronic inverter systems. / Zhusubaliyev, Zhanybai T.; Mosekilde, Erik; Andriyanov, Alexey I.; Shein, Vladimir V.

In: Physica D: Nonlinear Phenomena, Vol. 268, 2014, p. 14-24.

Research output: Contribution to journalJournal articleResearchpeer-review

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T1 - Phase synchronized quasiperiodicity in power electronic inverter systems

AU - Zhusubaliyev, Zhanybai T.

AU - Mosekilde, Erik

AU - Andriyanov, Alexey I.

AU - Shein, Vladimir V.

PY - 2014

Y1 - 2014

N2 - The development of switch-mode operated power electronic converter systems has provided a broad range of new effective approaches to the conversion of electric power. In this paper we describe the transitions from regular periodic operation to quasiperiodicity and high-periodic resonance behavior that can be observed in a pulse-width modulated DC/AC converter operating with high feedback gain. We demonstrate the occurrence of two different types of torus birth bifurcations and present a series of phase portraits illustrating the appearance of phase-synchronized quasiperiodicity. Our numerical findings are verified through comparison with an experimental inverter system. The results shed light on the transitions to quasiperiodicity and to various forms of three-frequency dynamics in non-smooth systems.

AB - The development of switch-mode operated power electronic converter systems has provided a broad range of new effective approaches to the conversion of electric power. In this paper we describe the transitions from regular periodic operation to quasiperiodicity and high-periodic resonance behavior that can be observed in a pulse-width modulated DC/AC converter operating with high feedback gain. We demonstrate the occurrence of two different types of torus birth bifurcations and present a series of phase portraits illustrating the appearance of phase-synchronized quasiperiodicity. Our numerical findings are verified through comparison with an experimental inverter system. The results shed light on the transitions to quasiperiodicity and to various forms of three-frequency dynamics in non-smooth systems.

KW - DC/AC converter

KW - Piecewise-smooth systems

KW - Border-collision bifurcations

KW - Torus-birth bifurcations

KW - Phase synchronized quasiperiodicity

KW - Complex mode distortion

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