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@ARTICLE{Sharafutdinov:849934,
      author       = {Sharafutdinov, Konstantin and Rydin Gorjao, Leonardo and
                      Matthiae, Moritz and Faulwasser, Timm and Witthaut, Dirk},
      title        = {{R}otor-angle versus voltage instability in the third-order
                      model for synchronous generators},
      journal      = {Chaos},
      volume       = {28},
      number       = {3},
      issn         = {1089-7682},
      address      = {Woodbury, NY},
      publisher    = {American Institute of Physics},
      reportid     = {FZJ-2018-04029},
      pages        = {033117 -},
      year         = {2018},
      abstract     = {We investigate the interplay of rotor-angle and voltage
                      stability in electric power systems. To this end, we carry
                      out a local stability analysis of the third-order model
                      which entails the classical power-swing equations and the
                      voltage dynamics. We provide necessary and sufficient
                      stability conditions and investigate different routes to
                      instability. For the special case of a two-bus system, we
                      analytically derive a global stability map.A reliable supply
                      of electric power requires a stable operation of the
                      electric power grid. Thousands of generators must run in a
                      synchronous state with fixed voltage magnitudes and fixed
                      relative phases. The ongoing transition to a renewable power
                      system challenges the stability as line loads and temporal
                      fluctuations increase. Maintaining a secure supply thus
                      requires a detailed understanding of power system dynamics
                      and stability. Among various models describing the dynamics
                      of synchronous generators, analytic results are available
                      mainly for the simplest second-order model which describes
                      only the dynamics of nodal frequencies and voltage phase
                      angles. In this article, we analyze the stability of the
                      third order model including the transient dynamics of
                      voltage magnitudes. Within this model we provide analytical
                      insights into the interplay of voltage and rotor-angle
                      dynamics and characterize possible sources of instability.
                      We provide novel stability criteria and support our studies
                      with the analysis of a network of two coupled nodes, where a
                      full analytic solution for the equilibria is obtained and a
                      bifurcation analysis is performed.},
      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) /
                      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 / $G:(HGF)VH-NG-1025_20112014$ /
                      $G:(Grant)PIK_082017$},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:29604628},
      UT           = {WOS:000428818800020},
      doi          = {10.1063/1.5002889},
      url          = {https://juser.fz-juelich.de/record/849934},
}