4.7 Article

Hopf bifurcation in doubly fed induction generator under vector control

Journal

CHAOS SOLITONS & FRACTALS
Volume 41, Issue 5, Pages 2741-2749

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2008.10.006

Keywords

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Funding

  1. National Natural Science Foundation of China [50577047]
  2. Doctoral Program of Higher Education [20070698060]

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This paper first presents the Hopf bifurcation phenomena of a vector-controlled doubly fed induction generator (DFIG) which is a competitive choice in wind power industry. Using three-phase back-to-back pulse-width-modulated (PWM) converters, DFIG can keep stator frequency constant under variable rotor speed and provide independent control of active and reactive power output. Main results are illustrated by exact cycle-by-cycle simulations. The detailed mathematical model of the closed-loop system is derived and used to analyze the observed bifurcation phenomena. The loci of the Jacobian's eigenvalues are computed and the analysis shows that the system loses stability via a Hopf bifurcation. Moreover, the boundaries of Hopf bifurcation are also given to facilitate the selection of practical parameters for guaranteeing stable operation. (C) 2008 Elsevier Ltd. All rights reserved.

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