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Vulnerability in dynamically driven oscillatory networks and power grids.

Xiaozhu Zhang1, Cheng Ma2, Marc Timme1

  • 1Chair for Network Dynamics, Institute for Theoretical Physics and Center for Advancing Electronics Dresden (cfaed), Cluster of Excellence Physics of Life, Technical University of Dresden, 01062 Dresden, Germany.

Chaos (Woodbury, N.Y.)
|July 3, 2020
PubMed
Summary
This summary is machine-generated.

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We introduce a new Dynamic Vulnerability Index (DVI) to identify vulnerable nodes in driven networks. This index predicts nodes most susceptible to external signals, crucial for power grid stability.

Area of Science:

  • Network science
  • Complex systems dynamics
  • Systems engineering

Background:

  • Network vulnerability is typically assessed by structural properties, overlooking dynamic responses.
  • Driven systems exhibit complex, heterogeneous dynamic patterns influenced by driving frequency, topology, and driven nodes.
  • Identifying critical nodes susceptible to dynamic driving is a significant challenge.

Purpose of the Study:

  • To develop a computationally efficient metric for quantifying node vulnerability in driven networks.
  • To identify nodes most susceptible to dynamic driving signals based on their response amplitude.
  • To provide a tool for predicting system-wide vulnerability in complex networks.

Main Methods:

  • Linear response theory is applied to derive the Dynamic Vulnerability Index (DVI).

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  • The DVI quantifies the amplitude response of individual nodes to dynamic driving signals with specified power spectra.
  • The method is designed to be generic and computationally accessible.

    • Main Results:

    • The proposed Dynamic Vulnerability Index (DVI) effectively identifies nodes with the largest amplitude responses.
    • The DVI enables robust predictions of node susceptibility to external dynamic inputs.
    • The index's efficacy is demonstrated in the context of driven oscillator networks and AC power grid models.

    Conclusions:

    • The Dynamic Vulnerability Index (DVI) offers a powerful new approach to assessing network vulnerability.
    • This index is crucial for enhancing the stability and resilience of dynamically driven systems.
    • Applications include identifying vulnerable nodes in power grids facing fluctuating renewable energy inputs and consumer demand.