Kaiser, Franz ORCID: 0000-0002-7089-2249 and Witthaut, Dirk ORCID: 0000-0002-3623-5341 (2021). Topological theory of resilience and failure spreading in flow networks. Phys. Rev. Res., 3 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2643-1564

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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.

Item Type: Journal Article
CreatorsEmailORCIDORCID Put Code
Kaiser, FranzUNSPECIFIEDorcid.org/0000-0002-7089-2249UNSPECIFIED
Witthaut, DirkUNSPECIFIEDorcid.org/0000-0002-3623-5341UNSPECIFIED
URN: urn:nbn:de:hbz:38-577138
DOI: 10.1103/PhysRevResearch.3.023161
Journal or Publication Title: Phys. Rev. Res.
Volume: 3
Number: 2
Date: 2021
Place of Publication: COLLEGE PK
ISSN: 2643-1564
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
MODELMultiple languages
Physics, MultidisciplinaryMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/57713


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