Local solutions of the optimal power flow problem
Bukhsh, Waqquas A. and Grothey, Andreas and McKinnon, Ken I.M. and Trodden, Paul A. (2013) Local solutions of the optimal power flow problem. IEEE Transactions on Power Systems, 28 (4). pp. 4780-4788. ISSN 0885-8950 (https://doi.org/10.1109/TPWRS.2013.2274577)
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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.
ORCID iDs
Bukhsh, Waqquas A. ORCID: https://orcid.org/0000-0002-5765-0747, Grothey, Andreas, McKinnon, Ken I.M. and Trodden, Paul A.;-
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Item type: Article ID code: 52038 Dates: DateEventNovember 2013Published15 August 2013Published OnlineSubjects: Technology > Electrical engineering. Electronics Nuclear engineering Department: Faculty of Engineering > Electronic and Electrical Engineering Depositing user: Pure Administrator Date deposited: 03 Mar 2015 10:13 Last modified: 20 Oct 2024 20:05 URI: https://strathprints.strath.ac.uk/id/eprint/52038