Application of Melnikov's method for computing heteroclinic orbits in a classical SMIB power system model

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 47, Issue 7, 2000, Pages 1085-1089

  Alberto, Luis R C ^a   Bretas, Newton G ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; DAMPING; DIFFERENTIAL EQUATIONS; ELECTRIC POTENTIAL; LYAPUNOV METHODS; THEOREM PROVING; TRANSIENTS;

HETEROCLINIC ORBIT; MECHANICAL POWER; MELNIKOV METHOD; TRANSIENT STABILITY ANALYSIS;

ELECTRIC POWER SYSTEMS;

EID: 0034226562     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.855464     Document Type: Article

References (13)

1. L. F. C. Alberto, "Transient stability analysis: Studies of the BCU method; damping estimation approach for absolute stability in SMIB systems," M.Sc. thesis, Escola de Eng. de Säo Carlos-Universidade de Sào Paulo, 1997.
2. L. F. C. Alberto and N. G. Bretas, "Synchronism versus stability in power systems," Int. J. Elect. Power Energy Syst., vol. 21, no. 4, pp. 261-267, Mar. 1999.
3. F. Brauer and J. A. Nohel, The Qualitative Theory of Ordinary Differential Equations. New York: Benjamin, Inc., 1969.
4. N. G. Bretas and L. F. C. Alberto, "Some considerations about power system modeling concerning transient stability analysis," in Proc. 2nd MATHMOD, Vienna, Feb. 5-7, 1997.
5. H. D. Chiang, F. F. Wu, and P. P. Varaya, "Foundations of the potential energy boundary surface method for power system transient stability analysis," IEEE Trans. Circuits Syst., vol. 35, June 1988.
6. _, "A BCU method for direct analysis of power system transient stability," IEEE Trans. Power Syst., pp. 1194-1208, Aug. 1994.
7. T. S. Parker and L. O. Chua, Practical Numerical Algorithms for Chaotic Systems. New York: Springer-Verlag, 1989.
8. J. Gukenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields. New York: Springer-Verlag, 1983.
9. J. K. Hale and H. Koçak, Dynamics and Bifurcations. New York: Springer-Verlag, 1991.
10. A. Llamas, J. De La Ree Lopez, L. Mili, A. G. Phadke, and J. S. Thorp, "Clarifications of the BCU method for transient stability analysis," IEEE Trans. Power Syst., vol. 10, Feb. 1995.
11. F. Paganini and B. C. Lesieutre, "Generic properties, one-parameter deformations, and the BCU method," IEEE Trans. Circuits Syst. I, vol. 46, pp. 760-763, June 1999.
12. M. A. Pai, Power System Stability-Analysis by the Direct Method of Lyapunov. Amsterdam, The Netherlands: North-Holland, 1981.
13. H. M. Rodrigues, L. F. C. Alberto, and N. G. Bretas, "On the invariance principle, generalizations and applications to synchronism," IEEE Trans. Circuits Syst. I, vol. 47, pp. 730-739, May 2000.