A model of voltage collapse in electric power systems

Voltage collapse dynamics were previously modeled by the movement of the system state along a particular trajectory at a saddle node bifurcation. The authors apply this voltage collapse model to a simple three-bus power system model which includes a dynamic induction motor model. Voltage collapse dynamics are demonstrated, showing that the model can be applied to a simple power system. Approximate calculations suggest that load reactive power balance is an important factor in this collapse