Local solutions of the optimal power flow problem

Waqquas A. Bukhsh, Andreas Grothey, Ken I.M. McKinnon, Paul A. Trodden

Research output: Contribution to journalArticle

99 Citations (Scopus)

Abstract

The existence of locally optimal solutions to the AC optimal power flow problem (OPF) has been a question of interest for decades. This paper presents examples of local optima on a variety of test networks including modified versions of common networks. We show that local optima can occur because the feasible region is disconnected and/or because of nonlinearities in the constraints. Standard local optimization techniques are shown to converge to these local optima. The voltage bounds of all the examples in this paper are between ±5% and ±10% off-nominal. The examples with local optima are available in an online archive (http://www.maths.ed.ac.uk/optenergy/LocalOpt/) and can be used to test local or global optimization techniques for OPF. Finally we use our test examples to illustrate the behavior of a recent semi-definite programming approach that aims to find the global solution of OPF.
Original languageEnglish
Pages (from-to)4780-4788
Number of pages9
JournalIEEE Transactions on Power Systems
Volume28
Issue number4
Early online date15 Aug 2013
DOIs
Publication statusPublished - Nov 2013

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Global optimization
Electric potential

Keywords

  • load flow
  • optimisation
  • global optimization techniques
  • optimal power flow

Cite this

Bukhsh, Waqquas A. ; Grothey, Andreas ; McKinnon, Ken I.M. ; Trodden, Paul A. / Local solutions of the optimal power flow problem. In: IEEE Transactions on Power Systems. 2013 ; Vol. 28, No. 4. pp. 4780-4788.
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Local solutions of the optimal power flow problem. / Bukhsh, Waqquas A.; Grothey, Andreas; McKinnon, Ken I.M.; Trodden, Paul A.

In: IEEE Transactions on Power Systems, Vol. 28, No. 4, 11.2013, p. 4780-4788.

Research output: Contribution to journalArticle

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