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Maximizing the algebraic connectivity of meshed electrical pathways used as current return network

Author

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  • Goddet, Etienne
  • Retière, Nicolas
  • Stojanović, Vojislav
  • Dieudonné, Anca
  • Genoulaz, Jérôme
  • Guichon, Jean-Michel

Abstract

This paper proposes an innovative method for optimizing the connectivity of meshed electrical pathways used to carry return current and provide grounding in more composite aircrafts. In normal operation, these networks should ensure a low voltage drop between power sources and electrical loads. The networks are modelled as graphs and spectral graph analysis is used to study their complexity. Thanks to the insight into graph’s spectrum, a multi-scale reading of meshed networks topology is proposed and an optimization problem is defined to decrease the DC resistance of the network while keeping constant its total weight. It is based on the maximization of the second eigenvalue of the graph’s Laplacian matrix. The optimization problem is applied to a mock-up of a real aircraft current return network. The paper is concluded by checking the DC voltage drops in steady state conditions.

Suggested Citation

  • Goddet, Etienne & Retière, Nicolas & Stojanović, Vojislav & Dieudonné, Anca & Genoulaz, Jérôme & Guichon, Jean-Michel, 2019. "Maximizing the algebraic connectivity of meshed electrical pathways used as current return network," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 158(C), pages 18-31.
    • Handle: RePEc:eee:matcom:v:158:y:2019:i:c:p:18-31
    DOI: 10.1016/j.matcom.2018.05.002
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    References listed on IDEAS

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    1. Vincenzo Fioriti & Marino Sforna & Gregorio D'Agostino, 2012. "Spectral analysis of a real power network," International Journal of Critical Infrastructures, Inderscience Enterprises Ltd, vol. 8(4), pages 354-367.
    2. Pagani, Giuliano Andrea & Aiello, Marco, 2013. "The Power Grid as a complex network: A survey," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2688-2700.
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