On voltage collapse in electric power systems

Voltage collapses which have a period of slowly decreasing voltage followed by an accelerating collapse in voltage are analyzed based on a center manifold voltage collapse model. The essence of this model is that the system dynamics after bifurcation are captured by the center manifold trajectory. It is a computable model that allows prediction of voltage collapse. Both physical explanations and computational considerations of this model are presented. The use of static and dynamic models is clarified to explain voltage collapse. Voltage collapse dynamics are demonstrated on a simple power system model