• DocumentCode
    3584188
  • Title

    Cumulant based probabilistic optimal power flow (P-OPF)

  • Author

    Schellenberg, Antony ; Rosehart, William ; Aguado, Juan Gutierrez

  • Author_Institution
    Calgary Univ., Alta., Canada
  • fYear
    2004
  • Firstpage
    506
  • Lastpage
    511
  • Abstract
    This paper introduces the cumulant method for the P-OPF problem and compares the cumulant method and first-order second-moment method (FOSMM). It is shown that for some combinations of independent Gaussian distributions the two methods are equivalent. A numerical example is included comparing the cumulant method and FOSMM results with a 1500 Monte Carlo simulation. The results using the FOSMM exactly equal the results using the cumulant method.
  • Keywords
    Gaussian distribution; Monte Carlo methods; higher order statistics; load flow; power markets; Gaussian distribution; Monte Carlo simulation; P-OPF; cumulant method; first-order second-moment method; numerical example; probabilistic optimal power flow; Gaussian distribution; Lagrangian functions; Linear programming; Load flow; Monte Carlo methods; Power generation; Power systems; Random variables; Wind energy generation; Wind power generation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Probabilistic Methods Applied to Power Systems, 2004 International Conference on
  • Print_ISBN
    0-9761319-1-9
  • Type

    conf

  • Filename
    1378740
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3584188