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Hopf bifurcation in doubly fed induction generator under vector control

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  • Yang, Lihui
  • Ma, Xikui
  • Dai, Dong

Abstract

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.

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  • Yang, Lihui & Ma, Xikui & Dai, Dong, 2009. "Hopf bifurcation in doubly fed induction generator under vector control," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2741-2749.
  • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2741-2749
    DOI: 10.1016/j.chaos.2008.10.006
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    Cited by:

    1. Raja Singh, R. & Raj Chelliah, Thanga & Agarwal, Pramod, 2014. "Power electronics in hydro electric energy systems – A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 32(C), pages 944-959.

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