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Connectivity-and-hop-constrained design of electricity distribution networks

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  • Rossi, André
  • Aubry, Alexis
  • Jacomino, Mireille

Abstract

This paper addresses the problem of designing the configuration of an interconnected electricity distribution network, so as to maximize the minimum power margin over the feeders. In addition to the limitation of feeder power capacity, the distance (as hop count) between any customer and its allocated feeder is also limited for preventing power losses and voltage drops. Feasibility conditions are studied and a complexity analysis is performed before introducing a heuristic algorithm and two integer linear programming formulations for addressing the problem. A cutting-plane algorithm relying on the generation of two classes of cuts for enforcing connectivity and distance requirements respectively is proposed for solving the second integer linear programming formulation. All the approaches are then compared on a set of 190 instances before discussing their performances.

Suggested Citation

  • Rossi, André & Aubry, Alexis & Jacomino, Mireille, 2012. "Connectivity-and-hop-constrained design of electricity distribution networks," European Journal of Operational Research, Elsevier, vol. 218(1), pages 48-57.
    • Handle: RePEc:eee:ejores:v:218:y:2012:i:1:p:48-57
    DOI: 10.1016/j.ejor.2011.10.006
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    References listed on IDEAS

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    1. Valeria Leggieri & Paolo Nobili & Chefi Triki, 2008. "Minimum power multicasting problem in wireless networks," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(2), pages 295-311, October.
    2. Avella, Pasquale & Villacci, Domenico & Sforza, Antonio, 2005. "A Steiner arborescence model for the feeder reconfiguration in electric distribution networks," European Journal of Operational Research, Elsevier, vol. 164(2), pages 505-509, July.
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    Cited by:

    1. Vizcaino González, José Federico & Lyra, Christiano & Usberti, Fábio Luiz, 2012. "A pseudo-polynomial algorithm for optimal capacitor placement on electric power distribution networks," European Journal of Operational Research, Elsevier, vol. 222(1), pages 149-156.
    2. Märkle-Huß, Joscha & Feuerriegel, Stefan & Neumann, Dirk, 2020. "Cost minimization of large-scale infrastructure for electricity generation and transmission," Omega, Elsevier, vol. 96(C).

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