Local and global bifurcations in a small power system

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.

► We investigate the conditions under which a small power system may experience bifurcations. ► Standard models of Load Tap Changer and Induction Motor are utilized. ► Bifurcations drastically affect stability properties of the system. ► The focus is set on state space analysis to examine the properties of the system at bifurcation points. ► Higher codimension bifurcations are investigated and theoretically verified.