Title :
DAE models of electrical power systems and their bifurcations around singularities
Author :
Marszalek, Wieslaw ; Trzaska, Zdzislaw W.
Author_Institution :
DeVry Univ., North Brunswick, NJ, USA
Abstract :
We present an analysis of the differential-algebraic equations, or DAEs, for electrical power systems (PS) and their behavior around singularities. The singularity induced bifurcation (SIB) of the second order PS DAEs may cause an instability of the system. This instability is due to a divergence of one or more of the eigenvalues of the DAE model through infinity. Several illustrative examples for various power systems are presented.
Keywords :
bifurcation; differential algebraic equations; power system control; differential algebraic equations; eigenvalues; electrical power systems; instability; singularity induced bifurcation; Bifurcation; Differential algebraic equations; Differential equations; Eigenvalues and eigenfunctions; H infinity control; Power generation; Power system analysis computing; Power system dynamics; Power system modeling; Power system stability;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1429557
