• DocumentCode
    741979
  • Title

    Quadratically Constrained Quadratic Programs on Acyclic Graphs With Application to Power Flow

  • Author

    Bose, Subhonmesh ; Gayme, Dennice F. ; Chandy, K. Mani ; Low, Steven H.

  • Volume
    2
  • Issue
    3
  • fYear
    2015
  • Firstpage
    278
  • Lastpage
    287
  • Abstract
    This paper proves that nonconvex quadratically constrained quadratic programs can be solved in polynomial time when their underlying graph is acyclic, provided the constraints satisfy a certain technical condition. We demonstrate this theory on optimal power-flow problems over tree networks.
  • Keywords
    Control systems; Linear programming; Optimization; Polynomials; Vectors; Vegetation; Conic relaxation; optimal power flow; semidefinite programming;
  • fLanguage
    English
  • Journal_Title
    Control of Network Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    2325-5870
  • Type

    jour

  • DOI
    10.1109/TCNS.2015.2401172
  • Filename
    7035094