Large Scale Voltage Instability

Abstract

In this chapter, we apply the methods of state-space geometry to the issue of complex power optimization in a non-steady state regime by incorporating the intrinsic state-space geometry. Considering the power flow between two arbitrary points along the chosen transmission line, we compute the stability domains for a large voltage instability problem. In the proposed formulation of this problem, some assumptions are made, i.e., shunt admittance has been neglected, we assume that there is no reactive support on the load bus, the generator terminal voltage phasor is assumed to coincide with the rotor position, and the load is defined by the real and reactive power demand.