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@ARTICLE{Ronellenfitsch:835015,
      author       = {Ronellenfitsch, Henrik and Manik, Debsankha and Horsch,
                      Jonas and Brown, Tom and Witthaut, Dirk},
      title        = {{D}ual theory of transmission line outages},
      journal      = {IEEE transactions on power systems},
      volume       = {PP},
      number       = {99},
      issn         = {1558-0679},
      address      = {New York, NY},
      publisher    = {IEEE},
      reportid     = {FZJ-2017-04885},
      pages        = {1 - 9},
      year         = {2017},
      note         = {Early online version},
      abstract     = {A new graph dual formalism is presented for the analysis of
                      line outages in electricity networks. The dual formalism is
                      based on a consideration of the flows around closed cycles
                      in the network. After some exposition of the theory is
                      presented, a new formula for the computation of Line Outage
                      Distribution Factors (LODFs) is derived, which is not only
                      computationally faster than existing methods, but also
                      generalizes easily for multiple line outages and arbitrary
                      changes to line series reactance. In addition, the dual
                      formalism provides new physical insight for how the effects
                      of line outages propagate through the network. For example,
                      in a planar network a single line outage can be shown to
                      induce monotonically decreasing flow changes, which are
                      mathematically equivalent to an electrostatic dipole field.},
      cin          = {IEK-STE},
      ddc          = {620},
      cid          = {I:(DE-Juel1)IEK-STE-20101013},
      pnm          = {153 - Assessment of Energy Systems – Addressing Issues of
                      Energy Efficiency and Energy Security (POF3-153) / CoNDyNet
                      - Kollektive Nichtlineare Dynamik Komplexer Stromnetze
                      $(PIK_082017)$ / VH-NG-1025 - Helmholtz Young Investigators
                      Group "Efficiency, Emergence and Economics of future supply
                      networks" $(VH-NG-1025_20112014)$},
      pid          = {G:(DE-HGF)POF3-153 / $G:(Grant)PIK_082017$ /
                      $G:(HGF)VH-NG-1025_20112014$},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000407854900068},
      doi          = {10.1109/TPWRS.2017.2658022},
      url          = {https://juser.fz-juelich.de/record/835015},
}