Singularity-induced bifurcations in electrical power systems

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.

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