Full Text:   <1605>

CLC number: TM761; TN751.3

On-line Access: 2008-05-09

Received: 2007-09-21

Revision Accepted: 2007-12-25

Crosschecked: 0000-00-00

Cited: 1

Clicked: 3378

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
Open peer comments

Journal of Zhejiang University SCIENCE A 2008 Vol.9 No.6 P.840~848

http://doi.org/10.1631/jzus.A0720006


WAMS-based monitoring and control of Hopf bifurcations in multi-machine power systems


Author(s):  Shao-bu WANG, Quan-yuan JIANG, Yi-jia CAO

Affiliation(s):  School of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   wangshaobu@yahoo.com.cn, yijiacao@zju.edu.cn

Key Words:  Wide area measurement system (WAMS), Hopf bifurcations, Monitoring of bifurcations, Control of bifurcations


Shao-bu WANG, Quan-yuan JIANG, Yi-jia CAO. WAMS-based monitoring and control of Hopf bifurcations in multi-machine power systems[J]. Journal of Zhejiang University Science A, 2008, 9(6): 840~848.

@article{title="WAMS-based monitoring and control of Hopf bifurcations in multi-machine power systems",
author="Shao-bu WANG, Quan-yuan JIANG, Yi-jia CAO",
journal="Journal of Zhejiang University Science A",
volume="9",
number="6",
pages="840~848",
year="2008",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A0720006"
}

%0 Journal Article
%T WAMS-based monitoring and control of Hopf bifurcations in multi-machine power systems
%A Shao-bu WANG
%A Quan-yuan JIANG
%A Yi-jia CAO
%J Journal of Zhejiang University SCIENCE A
%V 9
%N 6
%P 840~848
%@ 1673-565X
%D 2008
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0720006

TY - JOUR
T1 - WAMS-based monitoring and control of Hopf bifurcations in multi-machine power systems
A1 - Shao-bu WANG
A1 - Quan-yuan JIANG
A1 - Yi-jia CAO
J0 - Journal of Zhejiang University Science A
VL - 9
IS - 6
SP - 840
EP - 848
%@ 1673-565X
Y1 - 2008
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A0720006


Abstract: 
A method is proposed to monitor and control hopf bifurcations in multi-machine power systems using the information from wide area measurement systems (WAMSs). The power method (PM) is adopted to compute the pair of conjugate eigenvalues with the algebraically largest real part and the corresponding eigenvectors of the Jacobian matrix of a power system. The distance between the current equilibrium point and the Hopf bifurcation set can be monitored dynamically by computing the pair of conjugate eigenvalues. When the current equilibrium point is close to the Hopf bifurcation set, the approximate normal vector to the Hopf bifurcation set is computed and used as a direction to regulate control parameters to avoid a Hopf bifurcation in the power system described by differential algebraic equations (DAEs). The validity of the proposed method is demonstrated by regulating the reactive power loads in a 14-bus power system.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Ajjarapu, V., Lee, B., 1992. Bifurcation theory and its application to nonlinear dynamical phenomena in an electrical power. IEEE Trans. on Power Syst., 7(1):424-431.

[2] Dobson, I., 1992. An Iterative Method to Compute a Closest Saddle Node or Hopf Bifurcation Instability in Multidimensional Parameter Space. Proc. IEEE Int. Symp. on Circuits and Systems, p.2513-2516.

[3] Dobson, I., 1993. Computing a closest bifurcation instability in multidimensional parameter space. J. Nonl. Sci., 3(1):307-327.

[4] Dobson, I., Lu, L., 1993. New methods for computing a closest saddle bifurcation and worst case load power margin for voltage collapse. IEEE Trans. on Power Syst., 8(3):905-912.

[5] Dobson, I., Alvarado, F., DeMarco, C.L., 1992. Sensitivity of Hopf Bifurcations to Power System Parameters. Proc. 31st IEEE Conf. on Decision and Control. Tucson, Arizona, p.2928-2933.

[6] Hill, D.J., Mareels, I.M.Y., 1990. Stability theory for differential/algebraic systems with application to power systems. IEEE Trans. on Circuits Syst., 37(11):1416-1423.

[7] Jiang, H.B., Cai, H.Z., Dorsey, J.F., 1997. Toward a globally robust decentralized control for large-scale power systems. IEEE Trans. on Control Syst. Technol., 5(3):309-319.

[8] Kuznetsov, Y.A., 2004. Elements of Applied Bifurcation Theory (3rd Ed.). Springer-Verlag, New York.

[9] Lerm, A.A.P., 2001. Control of Hopf Bifurcation in Power Systems Via a Generation Redispatch. Proc. IEEE Power Tech. Porto, Portugal, p.1-6.

[10] Lerm, A.A.P., 2002. Control of Hopf Bifurcation in Multi-Area Power Systems Via a Secondary Voltage Regulation Scheme. IEEE Power Engineering Society Summer Meeting, p.1615-1620.

[11] Lerm, A.A.P., Silva, A.S., 2004. Avoid Hopf bifurcations in power systems via set point tuning. IEEE Trans. on Power Syst., 19(2):1076-1084.

[12] Mensour, Y., 1990. Application of Eigenanalysis to the Western North American Power System. Eigenanalysis and Frequency Domain Methods for System Dynamic Performacne. IEEE Publication No. 90TH02923-PWR, p.97-104.

[13] Smed, T., 1993. Feasible eigenvalue sensitivity for large power systems. IEEE Trans. on Power Syst., 8(2):555-563.

[14] Wang, S., Crouch, P., Armbruster, D., 1996. Bifurcation Analysis of Oscillations in Electric Power Systems. Proc. 35th IEEE Conf. on Decision and Control. Kobe, Japan, p.3864-3869.

Open peer comments: Debate/Discuss/Question/Opinion

<1>

Please provide your name, email address and a comment





Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE