Semismooth reformulation and Newton's method for the security region problem of power systems

Liqun Qi, Zheng Yan, Hongxia Yin

Research output: Journal article publicationJournal articleAcademic researchpeer-review


In this paper, we investigate the reformulation of the steady state security region problem for electrical power systems. Firstly, a simple security region problem with one changeable parameter is reformulated into a system of semismooth equations, which is composed by the normal power flow equations and an additional piecewise smooth equation. Then the semismooth Newton method and the smoothing Newton method can be applied to solve the problem. Preliminary numerical results show that the method is promising. Finally, by using the smoothing technique, a more complicated security region problem, the Euclidean security region problem, is reformulated as an equality constrained optimization problem. These works provide a possibility to implement on-line calculation of the security region of electrical power systems.
Original languageEnglish
Pages (from-to)143-153
Number of pages11
JournalJournal of Industrial and Management Optimization
Issue number1
Publication statusPublished - 28 Nov 2008


  • Global convergence
  • Local superlinear convergence
  • Power system security region
  • Semismooth Newton method
  • Smoothing technique

ASJC Scopus subject areas

  • Business and International Management
  • Strategy and Management
  • Control and Optimization
  • Applied Mathematics


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