Observations on the geometry of saddle node bifurcation and voltage collapse in electrical power systems

Author(s):  
I. Dobson
2006 ◽  
Vol 2006 ◽  
pp. 1-11 ◽  
Author(s):  
Luis Fernando Mello ◽  
Antonio Carlos Zambroni de Souza ◽  
Gerson Hiroshi Yoshinari ◽  
Camila Vasconcelos Schneider

This paper addresses the problem of voltage collapse in power systems. More precisely, we exhibit a voltage collapse in a power system with two buses. This study is carried out with the help of two approaches. The first is a dynamical approach where a saddle-node bifurcation is analyzed and the second is an algebraic approach. Both approaches deal with the static behavior of the power system, but some dynamic aspects may be observed. An equivalence between the algebraic and dynamical approaches is obtained. The need to use both models comes from the fact that they are usually exploited in the literature, but a deep theoretical justification is still pending. Such a justification is meant in this work.


2001 ◽  
Author(s):  
J. Schlabbach ◽  
D. Blume ◽  
T. Stephanblome

2008 ◽  
Vol 42 (6-8) ◽  
pp. 911-922 ◽  
Author(s):  
Delphine Rui ◽  
Nicolas Retière ◽  
Octavian Entcheanu

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