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Energy Transmission and Synchronization in Complex Networks : Mathematical Principles

Author: Nicolás Rubido
Publisher: Cham : Springer International Publishing, 2015.
Series: Springer Theses, Recognizing Outstanding Ph. D. Research
Edition/Format:   eBook : Document : English : 1st ed. 2016View all editions and formats
Summary:
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  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Nicolás Rubido
ISBN: 9783319222165 3319222163 9783319222158 3319222155
OCLC Number: 1113121146
Language Note: English.
Description: 1 online resource (XVII, 117 pages 32 illustrations, 14 illustrations in color.) : online resource
Contents: Introduction --
Complex Networks --
Transmission of Energy --
Synchronisation --
General conclusions.
Series Title: Springer Theses, Recognizing Outstanding Ph. D. Research
Other Titles: Springer Theses
Responsibility: by Nicolás Rubido.

Abstract:

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.

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