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Distributed optimal load shedding for disaster recovery in smart electric power grids: a second-order approach

Published: 16 June 2014 Publication History

Abstract

In this paper, we consider the problem of distributed load shedding optimization for disaster recovery in smart grids. We develop distributed second-order interior-point based load shedding algorithms that enjoy a fast quadratic convergence rate. Our main contributions are two-fold: (i) We propose a rooted spanning tree based reformulation that enables our distributed algorithm design; (ii) Based on the spanning tree reformulation, we design distributed computation schemes for our proposed second-order interior-point based load shedding. Collectively, these results serve as an important first step in load shedding and disaster recovery that uses second-order distributed techniques.

References

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M. S. Bazaraa, J. J. Jarvis, and H. D. Sherali, Linear Programming and Network Flows, 4th ed. New York: John Wiley & Sons Inc., 2010.
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J. J. Grainger and W. D. Stevenson, Power System Analysis. New York: McGraw-Hill Inc., 1994.
[3]
D. Bienstock, "Optimal control of cascading power grid failures," in Proc. IEEE CDC, Orlando, FL, Dec. 12-15, 2011, pp. 2166--2173.
[4]
J. Liu, C. H. Xia, N. B. Shroff, and H. D. Sherali, "Distributed optimal load shedding for disaster recovery in smart electric power grids: A second-order approach," Technical Report, Dept. of ECE, The Ohio State University, 2014. {Online}. Available: http://www2.ece.ohio-state.edu/?liu/publications/
[5]
Y. Nesterov and A. Nemirovskii, Interior-Point Polynomial Algorithms in Convex Programming, 3rd ed. Philadelphia, PA: SIAM, 2001.
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M. S. Bazaraa, H. D. Sherali, and C. M. Shetty, Nonlinear Programming: Theory and Algorithms, 3rd ed. New York, NY: John Wiley & Sons Inc., 2006.
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"Power systems test case archive." {Online}. Available: http://www.ee.washington.edu/research/pstca/

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    cover image ACM Conferences
    SIGMETRICS '14: The 2014 ACM international conference on Measurement and modeling of computer systems
    June 2014
    614 pages
    ISBN:9781450327893
    DOI:10.1145/2591971
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    Publication History

    Published: 16 June 2014

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    Author Tags

    1. distributed algorithms
    2. optimization theory
    3. smart grid

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    SIGMETRICS '14 Paper Acceptance Rate 40 of 237 submissions, 17%;
    Overall Acceptance Rate 459 of 2,691 submissions, 17%

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