Critical Clearing Time Estimates of Power Grid Faults via a Set-Based Method

TL;DR

This paper introduces a set-based method for estimating critical clearing times in power grid faults, reducing reliance on extensive simulations by analyzing decoupled subsystems to determine safety intervals.

Contribution

The paper presents a novel set-based approach that decouples high-dimensional systems into smaller subsystems for efficient critical clearing time estimation.

Findings

Effective in estimating critical clearing times without extensive simulations

Applicable to high-dimensional power grid models

Validated on IEEE 14 bus system

Abstract

This paper is concerned with estimating critical clearing times in the transient stability problem of power grids without extensive time-domain simulations. We consider a highdimensional post-fault system (the grid after the fault is cleared) which we decouple into many smaller subsystems. Then, for each subsystem, we find the so-called safety sets and simulate the faulted system once to deduce the so-called safe and unsafe critical clearing times, which specify the intervals of time over which the fault may remain active before safety is compromised. We demonstrate the approach with a numerical example involving the IEEE 14 bus system.