Locating fast-varying line disturbances with the frequency mismatch

TL;DR

This paper demonstrates that the frequency mismatch method effectively locates fast-varying line disturbances in complex networks, extending its applicability beyond slow perturbations through simulations and analytical support.

Contribution

The work extends the use of frequency mismatch for disturbance localization to fast-varying regimes, supported by simulations and analytical reasoning.

Findings

Frequency mismatch accurately locates fast-varying disturbances.

The method is effective across various disturbance regimes.

Analytical and simulation results confirm its robustness.

Abstract

In an attempt to provide an efficient method for line disturbance identification in complex networks of diffusively coupled agents, we recently proposed to leverage the frequency mismatch. The frequency mismatch filters out the intricate combination of interactions induced by the network structure and quantifies to what extent the trajectory of each agent is affected by the disturbance. In this previous work, we provided some analytical evidence of its efficiency when the perturbation is assumed to be slow. In the present work, we claim that the frequency mismatch performs actually well for most disturbance regimes. This is shown through a series of simulations and is backed up by an analytical argument. Therefore, we argue that the frequency mismatch is an efficient and elegant tool for line disturbance location in complex networks of diffusively coupled agents.