Improved BFGS method for optimal power flow calculation with transient stability constraints

Yan Xia, Ka Wing Chan, Mingbo Liu

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

6 Citations (Scopus)


In this paper, optimal power flow (OPF) is analyzed and determined with transient stability constraints. PEBS (potential energy boundary surface) method is applied to assess the transient stability. The related transient stability constraints represented by a dot product are introduced in the OPF model. Though OPF with transient stability constraints is a semi-infinite programming problem, it can be transformed to a standard programming problem by transcription techniques. Improved Broyden-Fletcher-Goldfarb-Shanno (BFGS) method is adopted to simplify the complicated derivation of Hessian matrix. It splits the Hessian matrix into computable and approximated parts with the approximated part being updated iteratively. With superlinear convergence property, the computation burden is reduced. The proposed algorithm has been fully validated on the New England 39-bus test system.
Original languageEnglish
Title of host publication2005 IEEE Power Engineering Society General Meeting
Number of pages6
Publication statusPublished - 31 Oct 2005
Event2005 IEEE Power Engineering Society General Meeting - San Francisco, CA, United States
Duration: 12 Jun 200516 Jun 2005


Conference2005 IEEE Power Engineering Society General Meeting
Country/TerritoryUnited States
CitySan Francisco, CA


  • BFGS
  • OPF
  • PEBS
  • Transient stability constraints

ASJC Scopus subject areas

  • Engineering(all)

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