Catastrophic bifurcation in three-phase voltage-source converters

Meng Huang, Siu Chung Wong, Chi Kong Tse, Xinbo Ruan

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review


Active pulse-width-modulated (PWM) voltage rectifiers are commonly used to convert ac power from a three-phase grid to a regulated dc voltage with unity input power factor. The output voltage regulation is normally achieved by an outer voltage feedback loop and a sinusoidal pulse-width-modulated (SPWM) inner current loop. Due to output voltage disturbances, such as those produced by a capacitive load, the inner current loop can be easily driven into over-modulation and possible six-step operating regions. Current research efforts have focused on extending the linearity of the modulated voltage in the over-modulation range to reduce the input current harmonics and on studying the closed-loop stability via conventional small-signal linearization around a fixed operating point. Such linear techniques obviously fall short of predicting large-signal transient stability. In this paper, catastrophic bifurcation of the three-phase voltage-source converter is reported. The physical origin of the phenomenon is identified. Boundaries of catastrophic bifurcation in the parameter space are derived. The phenomenon has been verified experimentally.
Original languageEnglish
Title of host publicationProceedings - 4th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2011
Number of pages5
Publication statusPublished - 28 Dec 2011
Event4th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2011 - Hangzhou, Zhejiang, China
Duration: 19 Oct 201121 Oct 2011


Conference4th International Workshop on Chaos-Fractals Theories and Applications, IWCFTA 2011
CityHangzhou, Zhejiang


  • bifurcation
  • Power electronics
  • three-phase boost rectifier

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Computational Mathematics


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