Title :
Singularity-induced bifurcations in electrical power systems
Author :
Marszalek, Wieslaw ; Trzaska, Zdzislaw W.
Author_Institution :
DeVry Univ., North Brunswick, NJ, USA
Abstract :
We analyze the singularity-induced bifurcations (SIBs) in differential-algebraic equations (DAEs) and their occurrence in power systems. Because of the SIBs, a power system may lose stability through the divergence of its eigenvalues through infinity. The SIBs, unlike the saddle-node and Hopf bifurcations, are typical in systems described by DAEs rather than ODEs. Several illustrative examples, including the standard IEEE 14-bus power systems, are given.
Keywords :
bifurcation; differential equations; eigenvalues and eigenfunctions; power system stability; Hopf bifurcation; IEEE 14-bus power system; differential-algebraic equation; eigenvalues; electrical power system; saddle-node bifurcation; singularity-induced bifurcation; Bifurcation; Differential algebraic equations; Differential equations; Eigenvalues and eigenfunctions; Power generation; Power system analysis computing; Power system dynamics; Power system modeling; Power system stability; Power systems;
Journal_Title :
Power Systems, IEEE Transactions on
DOI :
10.1109/TPWRS.2004.841244
