Probabilistic load flow computation using first-order second-moment method

Can Wan, Zhao Xu, Zhao Yang Dong, Kit Po Wong

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

25 Citations (Scopus)


This paper proposes a new probabilistic load flow method based on the first-order second-moment method. The proposed method aims to obtain the mean and standard deviation of load flow solution distributions considering various uncertainties in system operation. Power injection uncertainties including fluctuation of loads and unit outages are considered in the probabilistic load flow calculation. The performance of the proposed method is examined by comparing the results with those from Monte Carlo simulation using IEEE 9-bus and 118-bus test systems. A normalized accuracy and efficiency based procedure is developed for result analyses. Numerical tests demonstrate that the proposed method can obtain accurate results while reducing the computation time significantly.
Original languageEnglish
Title of host publication2012 IEEE Power and Energy Society General Meeting, PES 2012
Publication statusPublished - 11 Dec 2012
Event2012 IEEE Power and Energy Society General Meeting, PES 2012 - San Diego, CA, United States
Duration: 22 Jul 201226 Jul 2012


Conference2012 IEEE Power and Energy Society General Meeting, PES 2012
Country/TerritoryUnited States
CitySan Diego, CA


  • First-order second-moment method
  • power system
  • probabilistic density function
  • probabilistic load flow

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Nuclear Energy and Engineering
  • Renewable Energy, Sustainability and the Environment
  • Electrical and Electronic Engineering

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