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Optimal Placement of Distributed Energy Storage in Power Networks

Thrampoulidis, Christos and Bose, Subhonmesh and Hassibi, Babak (2016) Optimal Placement of Distributed Energy Storage in Power Networks. IEEE Transactions on Automatic Control, 61 (2). pp. 416-429. ISSN 0018-9286. doi:10.1109/TAC.2015.2437527.

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We formulate the optimal placement, sizing and control of storage devices in a power network to minimize generation costs with the intent of load shifting. We assume deterministic demand, a linearized DC approximated power flow model and a fixed available storage budget. Our main result proves that when the generation costs are convex and nondecreasing, there always exists an optimal storage capacity allocation that places zero storage at generation-only buses that connect to the rest of the network via single links. This holds regardless of the demand profiles, generation capacities, line-flow limits and characteristics of the storage technologies. Through a counterexample, we illustrate that this result is not generally true for generation buses with multiple connections. For specific network topologies, we also characterize the dependence of the optimal generation cost on the available storage budget, generation capacities and flow constraints.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper DOIArticle
Thrampoulidis, Christos0000-0001-9053-9365
Bose, Subhonmesh0000-0002-3445-4479
Additional Information:© 2015 IEEE. Manuscript received December 15, 2013; revised August 14, 2014, November 15, 2014, and April 29, 2015; accepted May 3, 2015. Date of publication May 26, 2015; date of current version January 26, 2016. The work of B. Hassibi was supported in part by the National Science Foundation (NSF) under Grants CNS-0932428, CCF-1018927, CCF-1423663, and CCF-1409204, by the Office of Naval Research under the MURI Grant N00014-08-0747, by a Grant from Qualcomm Inc., and by the King Abdulaziz University. This work was also supported in part by the NSF through NetSE CNS 0911041, ARPA-E through GENI DE-AR0000226, Southern California Edison, by the National Science Council of Taiwan through NSC 103-3113-P-008-001, by the Los Alamos National Lab (DoE), Caltech’s Resnick Institute, and Andreas Mentzelopoulos Scholarships of the University of Patras. Recommended by Associate Editor D. Dochain.
Group:Resnick Sustainability Institute
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-08-1-0747
King Abdulaziz UniversityUNSPECIFIED
Southern California EdisonUNSPECIFIED
National Science Council (Taipei)NSC 103-3113-P-008-001
Los Alamos National LaboratoryUNSPECIFIED
Resnick InstituteUNSPECIFIED
University of PatrasUNSPECIFIED
Subject Keywords:DC power-flow, energy storage, load-shifting, optimal placement
Issue or Number:2
Record Number:CaltechAUTHORS:20150126-071149016
Persistent URL:
Official Citation:C. Thrampoulidis, S. Bose and B. Hassibi, "Optimal Placement of Distributed Energy Storage in Power Networks," in IEEE Transactions on Automatic Control, vol. 61, no. 2, pp. 416-429, Feb. 2016. doi: 10.1109/TAC.2015.2437527
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54044
Deposited By: Shirley Slattery
Deposited On:26 Jan 2015 18:49
Last Modified:10 Nov 2021 20:28

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