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: Contribution to journalJournal articleResearchpeer-review

1108 Downloads (Pure)


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 Jacobian's 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
JournalI E E E Transactions on Energy Conversion
Issue number1
Pages (from-to)328-339
Publication statusPublished - 2011

Bibliographical note

Copyright 2010 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.


  • Eigenvalue-value sensitivity
  • Doubly fed induction generator (DFIG)
  • Hopf bifurcation, stability

Cite this