Probabilistic load flow computation of a power system containing wind farms using the method of combined cumulants and gram-charlier expansion

Yue Yuan, Jianhua Zhou, Ping Ju, Julian Feuchtwang

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84 Citations (Scopus)


Load flow is highly uncertain with the large-scale integration of wind power. It is unrealistic to adopt traditional deterministic load flow calculation for system planning and operation. A method is proposed in this study combining cumulants and Gram-Charlier expansion to calculate probabilistic load flow (PLF) of power system containing large-scale wind power. It has significantly reduced the computational time compared to Monte Carlo methods while maintaining a high degree of accuracy. The method was found quite suitable for the PLF calculation of power system with large-scale wind power injected.
Original languageEnglish
Pages (from-to)448-454
Number of pages7
JournalIET Renewable Power Generation
Issue number6
Publication statusPublished - Nov 2011


  • wind power plants
  • power system planning
  • probabilistic load flow computation
  • large scale integration
  • Monte Carlo methods
  • cumulants
  • gram-charlier expansion

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