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@ARTICLE{Strake:862901,
      author       = {Strake, Julius and Kaiser, Franz and Basiri, Farnaz and
                      Ronellenfitsch, Henrik and Witthaut, Dirk},
      title        = {{N}on-local impact of link failures in linear flow
                      networks},
      journal      = {New journal of physics},
      volume       = {21},
      number       = {5},
      issn         = {1367-2630},
      address      = {[London]},
      publisher    = {IOP73379},
      reportid     = {FZJ-2019-03077},
      pages        = {053009 -},
      year         = {2019},
      abstract     = {The failure of a single link can degrade the operation of a
                      supply network up to the point of complete collapse. Yet,
                      the interplay between network topology and locality of the
                      response to such damage is poorly understood. Here, we study
                      how topology affects the redistribution of flow after the
                      failure of a single link in linear flow networks with a
                      special focus on power grids. In particular, we analyze the
                      decay of flow changes with distance after a link failure and
                      map it to the field of an electrical dipole for lattice-like
                      networks. The corresponding inverse-square law is shown to
                      hold for all regular tilings. For sparse networks, a
                      long-range response is found instead. In the case of more
                      realistic topologies, we introduce a rerouting distance,
                      which captures the decay of flow changes better than the
                      traditional geodesic distance. Finally, we are able to
                      derive rigorous bounds on the strength of the decay for
                      arbitrary topologies that we verify through extensive
                      numerical simulations. Our results show that it is possible
                      to forecast flow rerouting after link failures to a large
                      extent based on purely topological measures and that these
                      effects generally decay with distance from the failing link.
                      They might be used to predict links prone to failure in
                      supply networks such as power grids and thus help to
                      construct grids providing a more robust and reliable power
                      supply.},
      cin          = {IEK-STE},
      ddc          = {530},
      cid          = {I:(DE-Juel1)IEK-STE-20101013},
      pnm          = {153 - Assessment of Energy Systems – Addressing Issues of
                      Energy Efficiency and Energy Security (POF3-153) / ES2050 -
                      Energie Sytem 2050 (ES2050) / VH-NG-1025 - Helmholtz Young
                      Investigators Group "Efficiency, Emergence and Economics of
                      future supply networks" $(VH-NG-1025_20112014)$ / CoNDyNet -
                      Kollektive Nichtlineare Dynamik Komplexer Stromnetze
                      $(PIK_082017)$},
      pid          = {G:(DE-HGF)POF3-153 / G:(DE-HGF)ES2050 /
                      $G:(HGF)VH-NG-1025_20112014$ / $G:(Grant)PIK_082017$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000467288400009},
      doi          = {10.1088/1367-2630/ab13ba},
      url          = {https://juser.fz-juelich.de/record/862901},
}