Control of a saddle node bifurcation in a power system using a PID controller

 

D. Rosas¹, C. Amaro¹, & J. Alvarez²

 

¹ Universidad Autónoma de Baja California, Facultad de Ingeniería, Blvd. Benito Juárez s/n, Mexcali, B. C., México. E-mail: drosas@yaqui,mxl.uabc.mx

² Centro de Investigación Científica y de Educación Superior de Ensenada, Km. 107 carr. Tijuana-Ensenada, Ensenada, B.C., México. E-mail: jgalvar@cicese.mx

 

Received: 15^th October 2001.
Accepted: April 10^th 2002.

 

ABSTRACT

In this work, we present the elimination of a saddle-node bifurcation in a basic power system using a PID controller. In addition, a stability analysis of the rotor angle and its frequency, which are directly related to voltage collapse problem, is presented.

Keywords: Saddle-node bifurcations, PID controller, power systems.

 

RESUMEN

En este trabajo se presenta la eliminación de una bifurcación de un nodo tipo "Saddle" en un sistema de potencia básica utilizando un controlador PID. Asimismo se presenta el análisis de estabilidad del ángulo del rotor y de su frecuencia que están directamente relacionadas con el problema de colapso del voltaje.

 

DESCARGAR ARTÍCULO EN FORMATO PDF

 

References

[1] Wang, HO, Abed, EH, 1993 Control of nonlinear phenomena at the inception of voltage collapse, Internal Report. Institute for Systems Research.         [ Links ]

[2] Abed E H., Hamdan A. M., Alexander J. C. 1993 Dynamical bifurcations in power system exhibiting a voltage collapse, International Journal on Bifurcation and Chaos, Vol 3, No. 5, pp. 1169-1174.         [ Links ]

[3] Dobson I., Liming Lu. 1993 New methods for computing a closest saddle-node bifurcation and worst case load power margin for voltage collapse, IEEE Transaction on Power Systems, Vol 8, pp. 905-913.         [ Links ]

[4] Dobson I., Chiang D., Thorp J. S., 1988 A model of voltage collapse in electric power systems, Proceedings of the 27th Conference on Decision and Control, Austin, Texas, December.         [ Links ]

[5] Dobson I. and Chiang D., 1989,Towards theory of voltage collapse in electric power systems, Systems & Control Letters, Vol.13, pp. 253-262.         [ Links ]

[6] Cañizares C. A., et al. 1995 On bifurcations, voltage collapse and load modeling, IEEE Transaction on power systems. Vol. 10, No. 1, pp. 512-522, February.         [ Links ]

[7] Cañizares C. A., 1999 Hopf bifurcation control in power systems using power system stabilizers and static VAR compensators, North American Power Symposium, San Luis Obispo, California, Octubre.         [ Links ]

[8] Perco L. 1996, Differential equations and dynamical systems, Spring Verlag.         [ Links ]

[9] Srivastava K. N. and Srivastava S. C.. 1998 Elimination of dynamical bifurcation and chaos in power systems using facts devices, IEEE Transactions on Circuits and Systems, Fundamental Theory and Applications, Vol. 45, No. 1, January.         [ Links ]