Journal Article

FZJ-2021-02511

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Topological theory of resilience and failure spreading in flow networks

Kaiser, F. (Corresponding author)FZJ* ; Witthaut, D.FZJ*

2021
APS College Park, MD

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Please use a persistent id in citations: http://hdl.handle.net/2128/27962  doi:10.1103/PhysRevResearch.3.023161

Abstract: Link failures in supply networks can have catastrophic consequences that can lead to a complete collapse of the network. Strategies to prevent failure spreading are thus heavily sought after. Here, we make use of a spanning tree formulation of link failures in linear flow networks to analyze topological structures that prevent failure spreading. In particular, we exploit a result obtained for resistor networks based on the matrix tree theorem to analyze failure spreading after link failures in power grids. Using a spanning tree formulation of link failures, we analyze three strategies based on the network topology that allow us to reduce the impact of single link failures. All our strategies either do not reduce the grid's ability to transport flow or do in fact improve it - in contrast to traditional containment strategies based on lowering network connectivity. Our results also explain why certain connectivity features completely suppress any failure spreading as reported in recent publications.

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Contributing Institute(s):

1. Systemforschung und Technologische Entwicklung (IEK-STE)

Research Program(s):

1. 111 - Energiesystemtransformation (POF4-111) (POF4-111)
2. CoNDyNet 2 - Kollektive Nichtlineare Dynamik Komplexer Stromnetze (BMBF-03EK3055B) (BMBF-03EK3055B)
3. VH-NG-1025 - Helmholtz Young Investigators Group "Efficiency, Emergence and Economics of future supply networks" (VH-NG-1025_20112014) (VH-NG-1025_20112014)
4. ES2050 - Energie System 2050 (ES2050) (ES2050)

Appears in the scientific report 2021

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