Day-Ahead Corrective Adjustment of FACTS Reactance: A Linear Programming Approach

Mostafa Sahraei-Ardakani, Kory Hedman

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


Reserve requirements serve as a proxy for N-1 reliability in the security-constrained unit commitment (SCUC) problem. However, there is no guarantee that the reserve is deliverable for all scenarios (post-contingency states). One cheap way to improve reserve deliverability is to harness the flexibility of the transmission network. Flexible AC transmission system (FACTS) devices are able to significantly improve the transfer capability. However, FACTS utilization is limited today due to the complexities these devices introduce to the DC optimal power flow problem (DCOPF). With a linear objective, the traditional DCOPF is a linear program (LP); when variable impedance based FACTS devices are taken into consideration, the problem becomes a nonlinear program (NLP). A reformulation of the NLP to a mixed integer linear program, for day-ahead corrective operation of FACTS devices, is presented in this paper. Engineering insight is then introduced to further reduce the complexity to an LP. Although optimality is not guaranteed, the simulation studies on the IEEE 118-bus system show that the method finds the globally optimal solution in 98.8% of the cases. Even when the method did not find the optimal solution, it was able to converge to a near-optimal solution, which substantially improved the reliability, very quickly.

Original languageEnglish (US)
Article number7273984
Pages (from-to)2867-2875
Number of pages9
JournalIEEE Transactions on Power Systems
Issue number4
StatePublished - Jul 2016


  • FACTS devices
  • linear programming
  • power system reliability
  • power transmission reliability
  • transfer capability
  • transmission topology optimization

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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