Analysis of power system stability using phase plane analysis of Linear OMIB equivalents

2011 ◽  
Author(s):  
C. Juarez ◽  
I. Martinez
Keyword(s):  
Power System ◽  
Phase Plane ◽  
Power System Stability ◽  
System Stability ◽  
Phase Plane Analysis ◽  
Plane Analysis

scholarly journals Phase Plane Analysis Method of Nonlinear Traffic Phenomena

2015 ◽  
Vol 2015 ◽  
pp. 1-14 ◽  
Author(s):  
Wenhuan Ai ◽  
Zhongke Shi ◽  
Dawei Liu
Keyword(s):  
Traffic Flow ◽  
Phase Plane ◽  
System Stability ◽  
Phase Plane Analysis ◽  
Analysis Method ◽  
Rarefaction Waves ◽  
New Model ◽  
Plane Analysis ◽  
Stop And Go ◽  
The Relationship

A new phase plane analysis method for analyzing the complex nonlinear traffic phenomena is presented in this paper. This method makes use of variable substitution to transform a traditional traffic flow model into a new model which is suitable for the analysis in phase plane. According to the new model, various traffic phenomena, such as the well-known shock waves, rarefaction waves, and stop-and-go waves, are analyzed in the phase plane. From the phase plane diagrams, we can see the relationship between traffic jams and system instability. So the problem of traffic flow could be converted into that of system stability. The results show that the traffic phenomena described by the new method is consistent with that described by traditional methods. Moreover, the phase plane analysis highlights the unstable traffic phenomena we are chiefly concerned about and describes the variation of density or velocity with time or sections more clearly.

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