Overview
- Nominated as an outstanding Ph.D. thesis by the University of Aberdeen, UK
- Offers exact solutions to the problems addressed
- Outlines explicit derivations
- Presents easy implementation and readability of results
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (5 chapters)
Keywords
About this book
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.
Authors and Affiliations
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Bibliographic Information
Book Title: Energy Transmission and Synchronization in Complex Networks
Book Subtitle: Mathematical Principles
Authors: Nicolás Rubido
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-319-22216-5
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-22215-8Published: 29 August 2015
Softcover ISBN: 978-3-319-37069-9Published: 23 August 2016
eBook ISBN: 978-3-319-22216-5Published: 20 August 2015
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XVII, 117
Number of Illustrations: 18 b/w illustrations, 14 illustrations in colour
Topics: Applications of Graph Theory and Complex Networks, Energy Systems, Mathematical Applications in the Physical Sciences