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Resiliently evolving supply-demand networks

Authors :
Rubido, Nicolás
Grebogi, Celso
Baptista, Murilo S.
Publication Year :
2013

Abstract

The ability to design a transport network such that commodities are brought from suppliers to consumers in a steady, optimal, and stable way is of great importance for nowadays distribution systems. In this Letter, by using the circuit laws of Kirchhoff and Ohm, we provide the exact capacities of the edges that an optimal supply-demand network should have to operate stably under perturbations. The perturbations we consider are the evolution of the connecting topology, the decentralisation of hub sources or sinks, and the intermittence of suppliers/consumers characteristics. We analyse these conditions and the impact of our results, both on the current UK power-grid structure and on numerically generated evolving archetypal network topologies.<br />Comment: 5 pages, 5 figures, 3 captions

Subjects

Subjects :
Physics - Physics and Society

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1309.0761
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevE.89.012801