Augmenting the optimal power flow for stability

Mohammadhafez Bazrafshan, Nikolaos Gatsis, Ahmad F. Taha, Josh A. Taylor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations


This paper presents an augmented optimal power flow (OPF) formulation that minimizes a power network's transient control costs using a linear quadratic regulator (LQR). The network is described by AC power flows with third-order generator dynamics modeling. Then, linearized dynamics around a known solution of the power flow equations are considered. Leveraging the equivalent linear matrix inequality formulation for the LQR, the augmented OPF (LQR-OPF) amounts to a semidefinite program, yielding optimal network steady state and an explicit feedback gain for minimum transient control cost. Numerical tests on a standard power network demonstrate the advantage of LQR-OPF in comparison to a scheme where OPF and transient control are solved separately.

Original languageEnglish (US)
Title of host publication2016 IEEE 55th Conference on Decision and Control, CDC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781509018376
StatePublished - Dec 27 2016
Externally publishedYes
Event55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States
Duration: Dec 12 2016Dec 14 2016

Publication series

Name2016 IEEE 55th Conference on Decision and Control, CDC 2016


Conference55th IEEE Conference on Decision and Control, CDC 2016
Country/TerritoryUnited States
CityLas Vegas

All Science Journal Classification (ASJC) codes

  • Artificial Intelligence
  • Decision Sciences (miscellaneous)
  • Control and Optimization


  • Optimal power flow
  • semidefinite programming
  • transient stability


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