A semi-infinite programming algorithm for solving optimal power flow with transient stability constraints

Xiaojiao Tong, Chen Ling, Liqun Qi

Research output: Journal article publicationJournal articleAcademic researchpeer-review

24 Citations (Scopus)


This paper proposes a new algorithm for solving a type of complicated optimal power flow (OPF) problems in power systems, i.e., OPF problems with transient stability constraints (OTS). The OTS is converted into a semi-infinite programming (SIP) via some suitable function analysis. Then based on the KKT system of the reformulated SIP, a smoothing quasi-Newton algorithm is presented in which the numerical integration is used. The convergence of the algorithm is established. An OTS problem in power system is tested, which shows that the proposed algorithm is promising.
Original languageEnglish
Pages (from-to)432-447
Number of pages16
JournalJournal of Computational and Applied Mathematics
Issue number2
Publication statusPublished - 1 Aug 2008


  • Optimal power flow
  • Quasi-Newton algorithm
  • Semi-infinite programming
  • Transient stability constraint

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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