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Local and global bifurcations in a small power system
Authors:Nikos G Sakellaridis
Affiliation:a Centre for Renewable Energy Sources & Saving, 19009 Pikermi, Greece
b Hellenic Transmission System Operator, 14568 Kryoneri, Greece
c School of Electrical & Computer Eng., National Technical University of Athens, 15780 Zographou, Greece
Abstract:This paper presents a number of local and one global (homoclinic loop) bifurcation observed in a small power system involving a load tap changer transformer and an induction motor. Besides the well-known generic local bifurcations (saddle-node and generic Hopf), the paper presents examples of higher codimension bifurcations, such as fold with double zero eigenvalues, degenerate Hopf, and swallowtail bifurcation.
Keywords:Bifurcation surface  Fold bifurcation  Homoclinic loop  Hopf bifurcation  Swallowtail bifurcation
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