Nonlinear oscillations and voltage collapse phenomenon in electrical power system

The authors focus on bifurcation of modes associated with both the generator and load dynamics to show the relations between two different critical states. The authors observe that a system encounters both oscillatory-type instability and collapse-type instability using a sample power system model developed by I. Dobson et al. (1988). In addition to the collapse-type instability reported by Dobson et al., oscillatory-type instability is analyzed by using Hopf bifurcation theory. The authors analyze these two types of system instability in a sample power system via bifurcation theory. Collapse-type instability is studied through the center manifold reduction technique, which reduces the entire system dynamic model to a one dimensional manifold