• DocumentCode
    3250159
  • Title

    Stochastic models and control for electrical power line temperature

  • Author

    Bienstock, Daniel ; Blanchet, Jose ; Li, Jie

  • Author_Institution
    Dept. of Ind. Eng. & Oper. Res., Columbia Univ., New York, NY, USA
  • fYear
    2013
  • fDate
    2-4 Oct. 2013
  • Firstpage
    1344
  • Lastpage
    1348
  • Abstract
    In this paper we consider the evolution of the temperature of a power line under stochastic exogenous factors such as ambient temperature. We present a solution to the resulting stochastic heat equation and we propose a number of control algorithms designed to maximize delivered power under chance constraints used to limit the probability that a line exceeds its critical temperature.
  • Keywords
    power cables; probability; stochastic processes; temperature control; ambient temperature; electrical power line temperature control; probability; stochastic exogenous factors; stochastic heat equation; Equations; Heating; Mathematical model; Power systems; Stochastic processes; Temperature distribution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communication, Control, and Computing (Allerton), 2013 51st Annual Allerton Conference on
  • Conference_Location
    Monticello, IL
  • Print_ISBN
    978-1-4799-3409-6
  • Type

    conf

  • DOI
    10.1109/Allerton.2013.6736682
  • Filename
    6736682