Energy transmission and synchronization in complex networks [electronic resource] : mathematical principles / Nicolás Rubido.

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Energy transmission and synchronization in complex networks [electronic resource] : mathematical principles / Nicolás Rubido.

9783319222165 (electronic book)
3319222163 (electronic book)
9783319222158
3319222155

Switzerland : Springer, [2016]

©2016

English

1 online resource : illustrations.

TK2980

621.3126

This work tackles the problems of understanding how energy is transmitted and distributed in power-grids as well as in determining how robust this transmission and distribution is when modifications to the grid or power occur. The most important outcome is the derivation of explicit relationships between the structure of the grid, the optimal transmission and distribution of energy, and the grid's collective behavior (namely, the synchronous generation of power). These relationships are extremely relevant for the design of resilient power-grid models. To allow the reader to apply these results to other complex systems, the thesis includes a review of relevant aspects of network theory, spectral theory, and novel analytical calculations to predict the existence and stability of periodic collective behavior in complex networks of phase oscillators, which constitute a paradigmatic model for many complex systems.

"Doctoral thesis accepted by the University of Aberdeen, UK."

Includes bibliographical references.

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Online resource; title from PDF title page (viewed August 27 2015).

Springer theses.

Print version: 9783319222158

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