Hopf bifurcation and eigenvalue sensitivity analysis of doubly fed induction generator wind turbine system

Li Hui Yang; Zhao Xu; Jacob Østergaard; Zhao Yang Dong; Xi Kui Ma

doi:10.1109/PES.2010.5590020

Hopf bifurcation and eigenvalue sensitivity analysis of doubly fed induction generator wind turbine system

Li Hui Yang
, Zhao Xu
, Jacob Østergaard
, Zhao Yang Dong
, Xi Kui Ma

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

21 Citations (Scopus)

Abstract

This paper first presents the Hopf bifurcation analysis for a vector-controlled doubly fed induction generator (DFIG) which is widely used in wind power conversion systems. 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. The oscillatory instability of the DFIG has been observed by simulation study. The detailed mathematical model of the DFIG 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. The eigenvalue sensitivitiy analysis with respect to machine and control parameters are performed to assess the impact of parameters upon system stability. Moreover, the Hopf bifurcation boundaries of the key parameters are also given that can facilitate the tuning of those parameters to ensure stable operation. ©2010 IEEE.

Original language	English
Title of host publication	IEEE PES General Meeting, PES 2010
Publisher	IEEE Computer Society
ISBN (Print)	9781424483570
DOIs	https://doi.org/10.1109/PES.2010.5590020
Publication status	Published - 2010
Externally published	Yes

Publication series

Name	IEEE PES General Meeting, PES 2010

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Research Keywords

Doubly fed induction generator (DFIG)
Eigenvalue sensitivity
Hopf bifurcation
Small signal stability

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@inproceedings{60917029123240a78fe39db59ad63b0c,

title = "Hopf bifurcation and eigenvalue sensitivity analysis of doubly fed induction generator wind turbine system",

abstract = "This paper first presents the Hopf bifurcation analysis for a vector-controlled doubly fed induction generator (DFIG) which is widely used in wind power conversion systems. 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. The oscillatory instability of the DFIG has been observed by simulation study. The detailed mathematical model of the DFIG 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. The eigenvalue sensitivitiy analysis with respect to machine and control parameters are performed to assess the impact of parameters upon system stability. Moreover, the Hopf bifurcation boundaries of the key parameters are also given that can facilitate the tuning of those parameters to ensure stable operation. {\textcopyright}2010 IEEE.",

keywords = "Doubly fed induction generator (DFIG), Eigenvalue sensitivity, Hopf bifurcation, Small signal stability",

author = "Yang, \{Li Hui\} and Zhao Xu and Jacob {\O}stergaard and Dong, \{Zhao Yang\} and Ma, \{Xi Kui\}",

note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].",

year = "2010",

doi = "10.1109/PES.2010.5590020",

language = "English",

isbn = "9781424483570",

series = "IEEE PES General Meeting, PES 2010",

publisher = "IEEE Computer Society",

booktitle = "IEEE PES General Meeting, PES 2010",

address = "United States",

}

Hopf bifurcation and eigenvalue sensitivity analysis of doubly fed induction generator wind turbine system. / Yang, Li Hui; Xu, Zhao; Østergaard, Jacob et al.
IEEE PES General Meeting, PES 2010. IEEE Computer Society, 2010. 5590020 (IEEE PES General Meeting, PES 2010).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - Hopf bifurcation and eigenvalue sensitivity analysis of doubly fed induction generator wind turbine system

AU - Yang, Li Hui

AU - Xu, Zhao

AU - Østergaard, Jacob

AU - Dong, Zhao Yang

AU - Ma, Xi Kui

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 2010

Y1 - 2010

N2 - This paper first presents the Hopf bifurcation analysis for a vector-controlled doubly fed induction generator (DFIG) which is widely used in wind power conversion systems. 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. The oscillatory instability of the DFIG has been observed by simulation study. The detailed mathematical model of the DFIG 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. The eigenvalue sensitivitiy analysis with respect to machine and control parameters are performed to assess the impact of parameters upon system stability. Moreover, the Hopf bifurcation boundaries of the key parameters are also given that can facilitate the tuning of those parameters to ensure stable operation. ©2010 IEEE.

AB - This paper first presents the Hopf bifurcation analysis for a vector-controlled doubly fed induction generator (DFIG) which is widely used in wind power conversion systems. 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. The oscillatory instability of the DFIG has been observed by simulation study. The detailed mathematical model of the DFIG 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. The eigenvalue sensitivitiy analysis with respect to machine and control parameters are performed to assess the impact of parameters upon system stability. Moreover, the Hopf bifurcation boundaries of the key parameters are also given that can facilitate the tuning of those parameters to ensure stable operation. ©2010 IEEE.

KW - Doubly fed induction generator (DFIG)

KW - Eigenvalue sensitivity

KW - Hopf bifurcation

KW - Small signal stability

UR - https://www.scopus.com/pages/publications/78649588487

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-78649588487&origin=recordpage

U2 - 10.1109/PES.2010.5590020

DO - 10.1109/PES.2010.5590020

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9781424483570

T3 - IEEE PES General Meeting, PES 2010

BT - IEEE PES General Meeting, PES 2010

PB - IEEE Computer Society

ER -

Hopf bifurcation and eigenvalue sensitivity analysis of doubly fed induction generator wind turbine system

Abstract

Publication series

Bibliographical note

UN SDGs

Research Keywords

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