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.

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 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 DYNAMIC BIFURCATIONS IN A POWER SYSTEM MODEL EXHIBITING VOLTAGE COLLAPSE

1993 ◽  
Vol 03 (05) ◽  
pp. 1169-1176 ◽  
Author(s):  
E. H. ABED ◽  
H. O. WANG ◽  
J. C. ALEXANDER ◽  
A. M. A. HAMDAN ◽  
H.-C. LEE
Keyword(s):  
Power System ◽  
Reactive Power ◽  
Period Doubling ◽  
System Model ◽  
Hopf Bifurcations ◽  
Voltage Collapse ◽  
Saddle Node ◽  
Dynamic Bifurcations ◽  
Period Doubling Bifurcations ◽  
Power System Model

Dynamic bifurcations, including Hopf and period-doubling bifurcations, are found to occur in a power system dynamic model recently employed in voltage collapse studies. The occurrence of dynamic bifurcations is ascertained in a region of state and parameter space linked with the onset of voltage collapse. The work focuses on a power system model studied by Dobson & Chiang [1989]. The presence of the dynamic bifurcations, and the resulting implications for dynamic behavior, necessitate a re-examination of the role of saddle node bifurcations in the voltage collapse phenomenon. The bifurcation analysis is performed using the reactive power demand at a load bus as the bifurcation parameter. It is determined that the power system model under consideration exhibits two Hopf bifurcations in the vicinity of the saddle node bifurcation. Between the Hopf bifurcations, i.e., in the "Hopf window," period-doubling bifurcations are found to occur. Simulations are given to illustrate the various types of dynamic behaviors associated with voltage collapse for the model. In particular, it is seen that an oscillatory transient may play a role in the collapse.

scholarly journals Comparative Technical-Economical Analysis of Transient Stability Improvements in a Power System

2021 ◽  
Vol 11 (23) ◽  
pp. 11359
Author(s):  
Giuseppe Marco Tina ◽  
Giovanni Maione ◽  
Sebastiano Licciardello ◽  
Domenico Stefanelli
Keyword(s):  
Stability Analysis ◽  
Power Systems ◽  
Power System ◽  
Transient Stability ◽  
Short Circuit ◽  
Software Tool ◽  
Frequency Stability ◽  
Sensitivity Analyses ◽  
Worst Case ◽  
Rotor Angle

Power systems are rapidly evolving to face the increasing penetration of renewable inverter-based generation units and to improve their reliability and safety. A power system is constantly exposed to sudden changes or disturbances that may affect its stability. In this paper, a comparative analysis of solutions to improve transient stability, both rotor angle and frequency stability, is performed. These solutions are SVC, STATCOM, a fast excitation system, and an additional parallel transmission line. Sensitivity analyses were performed to evaluate the effects of the location of the three-phase fault line and the most effective SVC or STATCOM installation bus. Based on these analyses, the worst-case fault is considered, and the critical fault clearing time is determined as an engineering parameter for comparing the different solutions. For the numerical analysis, the IEEE 9 bus system is considered, and the PowerWorld software tool is used. Rotor angle and frequency stability analyses were performed. Moreover, specifically for SVC and STATCOM, the effects of different values of short-circuit ratios were considered in the context of rotor angle stability analysis. As part of the frequency stability analysis, the use of the remuneration for load shedding service in Italy was considered to perform an economic analysis for SVC and STATCOM.

scholarly journals Voltage Stability Analysis and Stability Improvement of Power System

2015 ◽  
Vol 5 (2) ◽  
pp. 189 ◽  
Author(s):  
Pavithren Pavithren ◽  
Raman Raghu Raman ◽  
Pratap Nair ◽  
K. Nithiyananthan
Keyword(s):  
Stability Analysis ◽  
Power Systems ◽  
Power System ◽  
Voltage Stability ◽  
Research Work ◽  
Voltage Collapse ◽  
Interconnected System ◽  
Voltage Instability ◽  
System A ◽  
The Stability

<p>The main objective of this research work is to analysis the voltage stability of the power system network and its improvement in the network.voltage stability of a power system. A system enters a state of voltage instability when a disturbance, increase in load demand, or change in system condition causes a progressive and an uncontrollable drop in voltage or voltage collapse. The continuing increase in demand for electric power has resulted in an increasingly complex, interconnected system, forced to operate closer to the limits of the stability. This has necessitated the implementation of techniques for analyzing and detecting voltage collapse in bus bar or lines prior to its occurrence. Simple Newton Raphson algorithm based voltage stability analysis has been carried out. Matlab based simulations for all the factors that causes voltage instability has been implemented and analyzed for an IEEE 30 bus system. The proposed model is able to identify the behavior of the power systems, network under various voltage stability conditions and its possibility of recovery/stability improvement of the power system network has been discussed.</p>

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