Introduction to Dynamic Bifurcation Theory

2013 ◽  
pp. 1-40
Author(s):  
Shangjiang Guo ◽  
Jianhong Wu
Keyword(s):  
Bifurcation Theory ◽  
Dynamic Bifurcation

Application of Bifurcation Theory to Voltage Stability in Power System

2013 ◽  
Vol 811 ◽  
pp. 643-646
Author(s):  
Xue Song Zhou ◽  
Mo Chen ◽  
You Jie Ma
Keyword(s):  
Power System ◽  
Bifurcation Analysis ◽  
Bifurcation Point ◽  
Bifurcation Theory ◽  
Voltage Stability ◽  
Formal Definition ◽  
Voltage Stabilization ◽  
Advantages And Disadvantages ◽  
Voltage Instability ◽  
Dynamic Bifurcation

In order to study on the problem of voltage stability of power system, this paper describes the static bifurcation analysis and the dynamic bifurcation analysis in voltage stabilization analysis of power system and its relationship with the voltage stability,discusses the voltage instability caused by two main bifurcation formal definition, the occurrence of the conditions and the calculation of the bifurcation point, and points out advantages and disadvantages of various algorithms. Finally the paper looks forward to further study of the bifurcation theory in terms of voltage stability.

scholarly journals Dynamic bifurcation analysis and mitigation of SSR in SMIB system

2019 ◽  
Vol 15 (3) ◽  
pp. 1128
Author(s):  
Shruthi Ramachandra ◽  
Mala R.C. ◽  
H. V. Gururaja Rao
Keyword(s):  
Bifurcation Theory ◽  
Transient Analysis ◽  
Synchronous Machine ◽  
Machine Model ◽  
Mass System ◽  
System A ◽  
System Stabilizer ◽  
Fixed Series Compensation ◽  
Dynamic Bifurcation ◽  
Static Synchronous Series Compensator

This paper presents a detailed study on Sub-synchronous resonance in a Single machine connected to an infinite bus system by employing Bifurcation Theory. The synchronous machine model considered is a two-axis model, the turbine system is a six mass system. A comparative study of Sub-synchronous resonance for the two-axis synchronous machine models 1.1, 2.1 and 2.2 under constant excitation is presented in this paper. The effect of adding an exciter, power system stabilizer and Static Synchronous Series Compensator to the SMIB system, incorporated with a 2.2 synchronous machine model on the bifurcations of SSR is also investigated. The results obtained on replacing the fixed series compensation of the line by Static Synchronous Series Compensator resulted in the mitigation of Sub-synchronous Resonance. The results obtained for all the above-considered cases are compared with eigenvalue analysis and validated using transient analysis<strong>.</strong>

Application of bifurcation theory to nerve excitations

1981 ◽  
Vol 64 (9) ◽  
pp. 1-10
Author(s):  
Kiyoshi Toko ◽  
Junsaku Nitta ◽  
Ki-Ichi Urahama ◽  
Kaoru Yamafuji
Keyword(s):  
Bifurcation Theory
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