Critical Clearing Time Sensitivity for Differential-Algebraic Power System Model

TL;DR

This paper derives sensitivity expressions for critical clearing time in differential-algebraic power system models, aiding in transient stability analysis and preventive control decisions, validated through multiple test systems.

Contribution

It introduces a novel method to compute CCT sensitivity in DAE models, enhancing stability assessment and control strategies in power systems.

Findings

Sensitivity expressions match time-domain simulation results

Application to test systems demonstrates practical utility

Improves understanding of stability boundaries in DAE models

Abstract

Standard power systems are modeled using differential-algebraic equations (DAE). Following a transient event, voltage collapse can occur as a bifurcation of the transient load flow solutions which is marked by the system trajectory reaching a singular surface in state space where the voltage causality is lost. If the system is under such a risk, preventive control decisions such as changes in AVR setpoints need to be taken to enhance the stability. In this regard, the knowledge of sensitivity of critical clearing time (CCT) to controllable system parameters can be of great help. The stability boundary of DAE systems is more complicated than ODE systems where in addition to stable manifolds of unstable equilibrium points (UEP) and periodic orbits, singular surfaces play an important role. In the present work, we derive the expressions for CCT sensitivity for a generic DAE model using trajectory sensitivities with applications to power system transient stability analysis (TSA) and preventive control. The results are illustrated for multiple test systems which are then validated against computationally intensive time-domain simulations (TDS).