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Published July 2013 | Submitted
Book Section - Chapter Open

Optimal Large-scale Storage Placement in Single Generator Single Load Networks

Abstract

Large-scale storage will play an increasingly important role in future power grids. As a result, how to optimally place storage in such networks, is an important investment problem. Furthermore, since the allocation of storage resources is static, i.e., it is not feasible to move storage around in a dynamic fashion, it is important to derive optimal such allocations that are robust to the values of the load profiles and other network parameters, such as the line flow constraints. For a single generator single load network, and for a cost of generation that is quadratic in the generation power, we show that, for any given amount of storage resources, placing storage at the demand node is always optimal. This result is true regardless of the demand profile and flow constraints, and therefore is robust. As a byproduct of this result, for a fixed demand profile, we characterize the dependence of the optimal production cost on the flow constraints and on the available storage resources.

Additional Information

© 2013 IEEE. This work was supported in part by NSF under grants CCF-0729203, CNS-0932428 and CCF-1018927, NetSE grant CNS 0911041, Office of Naval Research MURI grant N00014-08-1-0747, Caltech Lee Center for Adv. Net., ARPA-E grant DE-AR0000226, Southern Cali. Edison, Nat. Sc. Council of Taiwan, R.O.C. grant NSC 101-3113-P-008-001, Resnick Inst., Okawa Foundation and Andreas Mentzelopoulos Scholarships for the Univ. of Patras. The authors gratefully acknowledge Prof. K. Mani Chandy at California Institute of Technology and Mr. Paul DeMartini from Resnick Institute for their helpful comments.

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