Visualization of stability regions for simple power systems based on trajectory reversing method

Dianli Xitong Zidonghua/Automation of Electric Power Systems

Volumn 28, Issue 11, 2004, Pages 22-27

  Hou, Kaiyuan ^a   Min, Yong ^a   Chen, Lei ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Equilibrium point; Nonlinear autonomous dynamic system; Power systems; Stability boundary; Stability region; Stable manifold; Trajectory reversing method

Indexed keywords

INTEGRATION; NONLINEAR SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; STABILITY; VISUALIZATION;

EQUILIBRIUM POINT; NONLINEAR AUTONOMOUS DYNAMIC SYSTEM; SIMPLE POWER SYSTEMS; STABILITY BOUNDARY; STABILITY REGION; STABLE MANIFOLD; TRAJECTORY REVERSING METHOD;

ELECTRIC POWER SYSTEMS;

EID: 3242794447     PISSN: 10001026     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. LaSalle J P. Some Extensions of Lyapunov's Second Method. IRE Trans on Circuit Theory, 1960, 7: 520-527
2. LaSalle J P. Generalized Invariance Principles and the Theory of Stability. Siloam Springs (AR): Brown University, 1970
3. Yu Yao-Nan, Vongsuriya Khien. Nonlinear Power System Stability Study by Lyapunov Function and Zubov's Method. IEEE Trans on Power Apparatus and Systems, 1967, 86(12)
4. Zaborzsky J, Huang G, Zheng B, et al. On the Phase-portrait of a Class of Large Nonlinear Dynamic Systems Such as the Power System. IEEE Trans on Automatic Control, 1988, 33(1): 4-15
5. Chiang H D, Hirsch M W, Wu F F. Stability Region of Nonlinear Autonomous Dynamical System. IEEE Trans on Automatic Control, 1988, 33(1): 16-27
6. Loccufier M, Noldus E. A New Trajectory Reversing Method for Estimating Stability Regions of Autonomous Dynamic Systems. Nonlinear Dynamics and Systems Theory, 2000, 21: 265-288
7. Nikolaos Kazantzis. Singular PDEs and the Problem of Finding Invariant Manifold for Nonlinear Dynamical System. Physics Letters, 2000, 272(4): 257-263
8. Genesio R, Vicino A. New Techniques for Constructing Asymptotic Stability Regions for Nonlinear Systems. IEEE Trans on Circuits and Systems, 1984, 31(6): 574-581