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Resiliently evolving supply-demand networks.

Nicolás Rubido1, Celso Grebogi2, Murilo S Baptista2

  • 1Institute for Complex Systems and Mathematical Biology, University of Aberdeen, King's College, AB24 3UE Aberdeen, United Kingdom and Instituto de Física, Facultad de Ciencias, Universidad de la República, Iguá 4225, Montevideo 11200, Uruguay.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 4, 2014
PubMed
Summary
This summary is machine-generated.

This study determines optimal edge capacities for stable supply-demand networks. It ensures reliable commodity flow under changing conditions, preventing system overload.

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Area of Science:

  • Network Science
  • Applied Mathematics
  • Electrical Engineering

Background:

  • Designing stable and efficient transport networks is crucial for modern distribution systems.
  • Ensuring steady, optimal, and stable commodity flow from suppliers to consumers presents significant challenges.
  • Existing networks often face disruptions from evolving topology, decentralized components, and fluctuating supply/demand.

Purpose of the Study:

  • To establish the exact edge capacities required for an optimal supply-demand network to operate stably.
  • To analyze network stability under various perturbations, including topological changes and decentralized elements.
  • To assess the practical implications of these findings on real-world and simulated network structures.

Main Methods:

  • Application of Kirchhoff's circuit laws and Ohm's law to model network behavior.
  • Analysis of network resilience against perturbations like evolving topology and intermittent supply/demand.
  • Evaluation of derived capacities on the United Kingdom's power grid and synthetic network models.

Main Results:

  • Precise edge capacity values are provided for stable network operation.
  • The study quantifies network stability under dynamic and decentralized conditions.
  • Impact analysis demonstrates the applicability to existing power grids and evolving network topologies.

Conclusions:

  • The research offers a method to design robust supply-demand networks with exact capacity specifications.
  • Findings are vital for enhancing the stability and efficiency of critical infrastructure like power grids.
  • The work provides a framework for optimizing transport networks against various real-world perturbations.