Title :
Nonlinear static and dynamical aspects of power systems: a bifurcation approach
Author_Institution :
Dept. of Electr. Eng. & Comput. Eng., Iowa State Univ., Ames, IA, USA
Abstract :
The author presents basic concepts in bifurcation theory which can be applied to study the voltage stability and nonlinear oscillations of power system networks. Dynamical systems are considered with one parameter. Changing the parameter may drive the system from one asymptotic behavior to another and result in different bifurcations. Typical static bifurcations are (i) saddle-node or fold bifurcation, (ii) transcritical bifurcation, and the( iii) pitchfork bifurcation. A typical dynamic bifurcation is the Hopf bifurcation. Numerical identification of these bifurcations is considered from a power system network point of view
Keywords :
bifurcation; identification; oscillations; power system stability; Hopf bifurcation; asymptotic behavior; bifurcation theory; fold bifurcation; identification; nonlinear dynamic bifurcation; nonlinear oscillations; nonlinear static bifurcation; pitchfork bifurcation; power system networks; saddle-node; transcritical bifurcation; voltage stability; Bifurcation; Eigenvalues and eigenfunctions; Jacobian matrices; Nonlinear dynamical systems; Nonlinear equations; Power system analysis computing; Power system dynamics; Power system modeling; Power system stability; Power systems;
Conference_Titel :
Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0593-0
DOI :
10.1109/ISCAS.1992.230687
