Loadability Analysis with Multiple Bifurcations Considered

This chapter conducts an extensive assessment of power system loadability based on bifurcation theory with a focus on voltage stability. Initially, the chapter updates the system loadability concept by simultaneously considering various types of bifurcations, namely Saddle-Node Bifurcations (SNB), Limit-Induced Bifurcations (LIB), and Hopf Bifurcations (HB). Five loadability scenarios, developed from this revised concept, are proposed and illustrated using test networks. Building on this updated concept, the chapter proposes a new, multi-stage optimisation framework to improve system loadability that considers the SNB, LIB and HB simultaneously. This framework is aimed at optimising system stability by improving the system's shortest loading margin within the given parameter space.