Title :
Analysis of Bifurcation and Stability in a Simple Power System Using MATCONT
Author :
Kobravi, K. ; Kinsner, W. ; Filizadeh, S.
Author_Institution :
Univ. of Manitoba, Winnipeg
Abstract :
The electrical power generation and distribution networks are very complex nonlinear systems. They may exhibit many complicated phenomena that have not yet been fully investigated. A nonlinear dynamical system could behave chaotically in a specific range of parameters. In power systems, the chaotic behavior and bifurcations are observed over a range of loading conditions. This paper presents the application of a new software package MATCONT for stability and bifurcation analysis of a power system. To simplify the analysis, we have selected a simple power system network consisting of a synchronous generator, an induction motor, and a load for derivation of equilibrium curve, limit cycles, and Hopf bifurcation point of the simple power system, regarding to the selected bifurcation parameters.
Keywords :
bifurcation; chaos; difference equations; induction motors; limit cycles; nonlinear dynamical systems; power system analysis computing; power system stability; software packages; Hopf bifurcation; MATCONT software package; chaotic behavior; complex nonlinear systems; differential equations; distribution networks; electrical power generation networks; equilibrium curve derivation; induction motor; limit cycles; loading conditions; nonlinear dynamical system; power system bifurcation analysis; power system stability analysis; simple power system network; synchronous generator; Application software; Bifurcation; Chaos; Nonlinear dynamical systems; Nonlinear systems; Power generation; Power system analysis computing; Power system dynamics; Power system stability; Stability analysis;
Conference_Titel :
Electrical and Computer Engineering, 2007. CCECE 2007. Canadian Conference on
Conference_Location :
Vancouver, BC
Print_ISBN :
1-4244-1020-7
Electronic_ISBN :
0840-7789
DOI :
10.1109/CCECE.2007.292
