The Existence Of A Voltage Collapse Solution In The Static-Dynamic Gap

Voltage collapse, one of the critical phenomena that threatens the power infrastructure, manifests itself by a sudden and fast collapse of the system voltage. The simplest bus system-one generator, one line, and one load describing function-reveals a feedback structure, which, depending on the nature of the load, could go in a voltage collapse resembling an "anti van der Pol" behavior. A static-dynamic compromise for the load model is provided by an "impedance" describing function that has the advantage of being derived from experimental data collected in a real grid environment. This reveals, among other things, a noninteger exponent of the frequency requiring a real analytic extension for the model to be usable for a collapsing solution away from the imaginary axis. We investigate whether the voltage collapse is possible to occur at different loads. In the cases where the voltage collapse is likely to occur, we study the interaction between the voltage and frequency during the collapse.