BIFURCATION THEORY AND ITS APPLICATION TO ELECTRICAL

Several voltage collapses have had a period of slowly decreasing voltage followed by an accelerating collapse in voltage. In this paper we analyze this type of Voltage Collapse based on a Voltage Collapse Model. The essence of this model is that the system dynamics after bifurcation are captured by the center manifold trajectory and it is computable model that allows prediction of voltage collapse..Both physical explanations and computational considerations of this model are presented. Voltage collapse dynamics are demonstrated on a simple power system model. I. INTRODUCTİON Voltage stability problems in power systems may occur for a variety of reasons, from voltage control problems with automatic voltage regulators (AVR) and under-loa