scholarly journals New methods for computing a closest saddle node bifurcation and worst case load power margin for voltage collapse

1993 ◽  
Vol 8 (3) ◽  
pp. 905-913 ◽  
Author(s):  
I. Dobson ◽  
L. Lu
Keyword(s):  
Voltage Collapse ◽  
Worst Case ◽  
Saddle Node Bifurcation ◽  
Case Load ◽  
New Methods ◽  
Load Power ◽  
Saddle Node

scholarly journals Voltage collapse in power systems: Dynamical studies from a static formulation

2006 ◽  
Vol 2006 ◽  
pp. 1-11 ◽  
Author(s):  
Luis Fernando Mello ◽  
Antonio Carlos Zambroni de Souza ◽  
Gerson Hiroshi Yoshinari ◽  
Camila Vasconcelos Schneider
Keyword(s):  
Power Systems ◽  
Power System ◽  
Algebraic Approach ◽  
Voltage Collapse ◽  
Static Behavior ◽  
Theoretical Justification ◽  
Saddle Node Bifurcation ◽  
Dynamical Approach ◽  
Saddle Node

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.

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

2003 ◽  
Vol 1 (01) ◽  
Author(s):  
D. Rosas ◽  
C. Amaro ◽  
J. Alvarez
Keyword(s):  
Stability Analysis ◽  
Power System ◽  
Pid Controller ◽  
Voltage Collapse ◽  
Saddle Node Bifurcation ◽  
Saddle Node ◽  
Rotor Angle ◽  
Basic Power

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.

Attractor-preserving control to avoid saddle-node bifurcation

2014 ◽  
Vol 2 ◽  
pp. 150-153
Author(s):  
Daisuke Ito ◽  
Tetsushi Ueta ◽  
Shigeki Tsuji ◽  
Kazuyuki Aihara
Keyword(s):  
Saddle Node Bifurcation ◽  
Saddle Node

BASIN ORGANIZATION PRIOR TO A TANGLED SADDLE-NODE BIFURCATION

1991 ◽  
Vol 01 (01) ◽  
pp. 107-118 ◽  
Author(s):  
MOHAMED S. SOLIMAN ◽  
J. M. T. THOMPSON
Keyword(s):  
Fractal Structure ◽  
Saddle Node Bifurcation ◽  
Saddle Node ◽  
Homoclinic Connections

Heteroclinic and homoclinic connections of saddle cycles play an important role in basin organization. In this study, we outline how these events can lead to an indeterminate jump to resonance from a saddle-node bifurcation. Here, due to the fractal structure of the basins in the vicinity of the saddle-node, we cannot predict to which available attractor the system will jump in the presence of even infinitesimal noise.

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