scholarly journals Random load fluctuations and collapse probability of a power system operating near codimension 1 saddle-node bifurcation

2013 ◽  
Author(s):  
Dmitry Podolsky ◽  
Konstantin Turitsyn
Keyword(s):  
Power System ◽  
Random Load ◽  
Saddle Node Bifurcation ◽  
Saddle Node ◽  
Collapse Probability ◽  
System Operating

scholarly journals Saddle Node Bifurcation Point Analysis of Voltage Stability of IEEE 30-BUS Power System for Removal of Generation through Bacteria Foraging Optimization Algorithm

2018 ◽  
Vol 7 (3.31) ◽  
pp. 36
Author(s):  
Srikanth B. Venkata ◽  
Lakshmi Devi Ai
Keyword(s):  
Power System ◽  
Optimization Algorithm ◽  
Reactive Power ◽  
Reactive Power Compensation ◽  
Bacterial Foraging Optimization ◽  
Saddle Node Bifurcation ◽  
Saddle Node ◽  
Point Analysis ◽  
Bacteria Foraging Optimization Algorithm ◽  
Bacterial Foraging Optimization Algorithm

This paper deals with the identification of instability nodes of IEEE 30 BUS power system to generation removal. Optimal sizing and locations of reactive power compensations are obtained. Firstly one of the generators is assumed to be removed from service and the saddle node bifurcation (SNB) point voltages are evaluated without reactive power compensation. Secondly two generators are assumed to be removed from service and the saddle node point voltage magnitudes are obtained without reactive power compensation. For both cases the study is conducted by placing optimal reactive power compensations at optimal locations using Bacterial Foraging Optimization Algorithm (BFOA).  

A New Method for Static Voltage Stability Assessment based on The Local Loadability Boundary

2012 ◽  
Vol 13 (4) ◽  
Author(s):  
Thang Van Nguyen ◽  
Y. Minh Nguyen ◽  
Yong Tae Yoon
Keyword(s):  
Power System ◽  
Voltage Stability ◽  
Direct Method ◽  
Electric Power System ◽  
New Method ◽  
Stability Assessment ◽  
Saddle Node Bifurcation ◽  
Static Voltage Stability ◽  
Saddle Node ◽  
Thevenin Equivalent

Abstract This paper proposes a new method for assessing static voltage stability based on the local loadability boundary or P- Q curve in two dimensional power parameter space. The proposed method includes three main steps. The first step is to determine the critical buses and the second step is building the local loadability boundary or the saddle node bifurcation set for those critical buses. The final step is assessing the static voltage stability through the distance from current operating point to the boundary. The critical buses are defined through the right eigenvector by direct method. The boundary obtained by the proposed method that is combining a variation of standard direct method and Thevenin equivalent model of electric power system is a quadratic curve. And finally the distance is computed through the Euclid norm of normal vector of the boundary at the closest saddle node bifurcation point. The advantage of the proposed method is that it keeps the advantages of both efficient methods, the accuracy of the direct method and simple of Thevenin Equivalent based method. Thus, the proposed method holds some promise in terms of performing the real time voltage stability assessment of power system. Test results of New England 39 bus system are presented to show the effectiveness of the proposed method.

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.

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