Discontinuous iterated map model of bifurcation phenomena in DTC drives

Zoltán Süto, Eisuke Masada, István Nagy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

The scope of the paper is to reveal the strange behavior of Direct Torque Controlled (DTC) drives resulting from the nonlinearity of hysteresis comparators. A piecewise-defined, non-stroboscopic, discrete-time Poincaré map can be constructed for the system which takes into account the fast switching operations of the Voltage Source Converter (VSC). The evolution of the stator flux linkage and the electric torque within the hysteresis loops are determined from switch to switch. The movement of the two controlled state variables exhibits periodic, subharmonic, chaotic and intermittent chaotic states along a special series of border collision bifurcations induced by discontinuity of the Poincaré mapping function. In order to give a better insight into these bifurcations, a one-dimensional piecewise linear discontinuous iterated map is developed and analyzed.

Original languageEnglish
Title of host publicationProceedings - The 12th International Conference on Electrical Machines and Systems, ICEMS 2009
DOIs
Publication statusPublished - Dec 1 2009
Event12th International Conference on Electrical Machines and Systems, ICEMS 2009 - Tokyo, Japan
Duration: Nov 15 2009Nov 18 2009

Publication series

NameProceedings - The 12th International Conference on Electrical Machines and Systems, ICEMS 2009

Other

Other12th International Conference on Electrical Machines and Systems, ICEMS 2009
CountryJapan
CityTokyo
Period11/15/0911/18/09

Keywords

  • Bifurcations
  • Chaotic state
  • Direct torque control
  • Three-phase converters

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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  • Cite this

    Süto, Z., Masada, E., & Nagy, I. (2009). Discontinuous iterated map model of bifurcation phenomena in DTC drives. In Proceedings - The 12th International Conference on Electrical Machines and Systems, ICEMS 2009 [5382725] (Proceedings - The 12th International Conference on Electrical Machines and Systems, ICEMS 2009). https://doi.org/10.1109/ICEMS.2009.5382725