Structure-Induced Bifurcation in Large-Scale Electric Power Systems

Abstract

A structure-induced bifurcation of nonsmooth nonlinear systems is studied and illustrated on electric power system models. The consequence of structure-induced bifurcation is an immediate instability induced by generator reactive power limits. It is numerically shown that structureinduced bifurcation can occur at both small power systems and large-scale power systems. Without taking the structure-induced bifurcation into account in defining power system operating limits, the resulting operating limits can be overly optimistic.

Available Delivery Capability of General Distribution Networks With Renewables: Formulations and Solutions

“…On the other hand, the physical meaning of structure-induced bifurcation in this context is that the ADC is reached due to insufficient reactive power support [24], [25].…”

On-line voltage stability monitoring of large power systems

“…It is less known that the nose point can be a peculiar bifurcation point, structureinduced bifurcation point [8][9][10]. Structure-induced bifurcation (also termed Q-induced bifurcation) manifests itself as a sudden disappearance of stable equilibrium point as one or more parameters are varied and the underlying vector field is altered.…”

“…The structure-induced bifurcation has been studied and illustrated on a 3-bus power system in [8]. Further insights of structure-induced bifurcation in power systems on both small and large systems such as a 5200-dimensional system can be found in [10]. Q-induced bifurcation is different from traditional bifurcations such as saddle-node bifurcations and Hopf bifurcations.…”

“…The exact computation of SNB is based on the simplified set of characteristic equations derived in [6,7] while the exact computation of SIB is based on the set of characteristic equations derived in [10]. In addition, the voltage violation points and the thermal limit violation points and sensitivity calculations at these points (violation points, bifurcation point or limit point) are needed as they provide a variety of valuable information to operators.…”

Local Bifurcation Boundary and Steady-State Security Boundary in Large Electric Power Systems: Numerical Studies

“…The local bifurcation boundary of a power flow solution is different from the local bifurcation boundary of a stable equilibrium point of general nonlinear systems. The former is composed of the saddle-node bifurcation and the sib while the latter usually does not contain the structure-induced bifurcation [Dobson & Liu, 1992;Li & Chiang, 2008]. Previous attempts to numerically construct the local bifurcation boundary of small-sized power systems have been discussed in [Hiskens & Chakrabarti, 1996;Hiskens & Davy, 2001;Makarov et al, 2000;Ozcan & Schattler, 2005].…”