Oscillatory stability and eigenvalue sensitivity analysis of a DFIG wind turbine system

Lihui Yang, Zhao Xu, Jacob Østergaard, Zhao Yang Dong, Kit Po Wong, Xikui Ma

Research output: Journal article publicationJournal articleAcademic researchpeer-review

176 Citations (Scopus)


This paper focuses on modeling and oscillatory stability analysis of a wind turbine with doubly fed induction generator (DFIG). A detailed mathematical model of DFIG wind turbine with vector-control loops is developed, based on which the loci of the system Jacobians eigenvalues have been analyzed, showing that, without appropriate controller tuning a Hopf bifurcation can occur in such a system due to various factors, such as wind speed. Subsequently, eigenvalue sensitivity with respect to machine and control parameters is performed to assess their impacts on system stability. Moreover, the Hopf bifurcation boundaries of the key parameters are also given. They can be used to guide the tuning of those DFIG parameters to ensure stable operation in practice. The computer simulations are conducted to validate the developed model and to verify the theoretical analysis.
Original languageEnglish
Article number5678830
Pages (from-to)328-339
Number of pages12
JournalIEEE Transactions on Energy Conversion
Issue number1
Publication statusPublished - 1 Mar 2011


  • Doubly fed induction generator (DFIG)
  • Eigenvalue sensitivity
  • Hopf bifurcation
  • Stability

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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