Analyzing dynamic performance of power systems over parameter space using normal forms of vector fields. II. Comparison of the system structure

2001 ◽  
Author(s):  
Songzhe Zhu ◽  
V. Vittal ◽  
W. Kliemann
Keyword(s):  
Power Systems ◽  
Parameter Space ◽  
Vector Fields ◽  
Normal Forms ◽  
Dynamic Performance ◽  
System Structure

Analysis of the Interaction between Modes by Normal Forms and Singular Perturbation Theory

2012 ◽  
Vol 157-158 ◽  
pp. 381-385
Author(s):  
Jing Zhang ◽  
Ting Ting Jiang
Keyword(s):  
Perturbation Theory ◽  
Singular Perturbation ◽  
Power System ◽  
Voltage Stability ◽  
Vector Fields ◽  
Normal Forms ◽  
Interaction Analysis ◽  
System Structure ◽  
System Stability ◽  
Singular Perturbation Theory

Due to the nonlinear characteristics of modern power systems, strong interaction between system angle stability and voltage stability will present. However, because of extreme complexity, these two kinds of stability are often investigated separately and the interactions between them are normally neglected in traditional studies. In this paper, a new method based on the theory of normal forms of vector fields and singular perturbation theory is introduced to deal with the power system structure preserving model for system stability modes interaction analysis. The relationship between angle and voltage stability is discovered. The method is validated with a sample power system.

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