Takens-bogdanov bifurcation in IFOC systems

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Abstract

The influence of the normalized load and the rotor time constant mismatch on the dynamical behavior of induction motors under indirect field oriented control (IFOC) is analyzed. We focus the analysis on the Takens-Bogdanov bifurcation using a recent generalization of the Takens-Bogdanov bifurcation Theorem. We have found a criterion that allows us to determine which IFOC systems do not undergo such bifurcation.

Original languageEnglish
Pages (from-to)305-311
Number of pages7
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Volume20
Issue number3
StatePublished - 2013

Keywords

  • Bifurcation theory
  • Center manifold theory
  • Indirect field oriented control
  • Normal forms theory
  • Takens-bogdanov bifurcation

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