Singularity-Induced Bifurcations in Electrical Power Systems

200588 citationsJournal Article

Authors

Z. Trzaska · Warsaw University of Technology

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.

Topics & Keywords

Power System Optimization and Stability Numerical methods for differential equations Model Reduction and Neural Networks

UN Sustainable Development Goals

Affordable and clean energy

Publication Details

Published in: IEEE Transactions on Power Systems

Volume 20, Issue 1, pp. 312-320

DOI: 10.1109/tpwrs.2004.841244

Field-Weighted Citation Impact: 5.34