Power System Dynamics: Bifurcation Behavior
This chapter begins with a summary of the basic properties of systems described by differential-algebraic equations (DAEs) and moves on to study singularities and bifurcations of DAEs. The study of local behavior around bifurcation points of the equilibrium equations is important as such points typically involve some sort of static or dynamic instability phenomenon. Computational methods for finding these static bifurcation points and generating models for examining local behavior are considered next. Locating Hopf (dynamic) bifurcation points are also examined.