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Convexification of optimal power flow problem by means of phase shifters

Sojoudi, Somayeh and Lavaei, Javad (2013) Convexification of optimal power flow problem by means of phase shifters. In: 2013 IEEE International Conference on Smart Grid Communications. IEEE , Piscataway, NJ, pp. 756-761. ISBN 978-1-4799-1526-2.

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This paper is concerned with the convexification of the optimal power flow (OPF) problem. We have previously shown that this highly nonconvex problem can be solved efficiently via a convex relaxation after two approximations: (i) adding a sufficient number of virtual phase shifters to the network topology, and (ii) relaxing the power balance equations to inequality constraints. The objective of the present paper is to first provide a better understanding of the implications of Approximation (i) and then remove Approximation (ii). To this end, we investigate the effect of virtual phase shifters on the feasible set of OPF by thoroughly examining a cyclic system. We then show that OPF can be convexified under only Approximation (i), provided some mild assumptions are satisfied. Although this paper mainly focuses on OPF, the results developed here can be applied to several OPF-based emerging optimization problems for future electrical grids.

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Additional Information:© 2013 IEEE.
Record Number:CaltechAUTHORS:20140221-133630528
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Official Citation:Sojoudi, S.; Lavaei, J., "Convexification of optimal power flow problem by means of phase shifters," Smart Grid Communications (SmartGridComm), 2013 IEEE International Conference on , vol., no., pp.756,761, 21-24 Oct. 2013 doi: 10.1109/SmartGridComm.2013.6688050 URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:43932
Deposited By: Tony Diaz
Deposited On:21 Feb 2014 22:38
Last Modified:10 Nov 2021 16:45

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