Energy Transmission and Synchronization in Complex Networks

Mathematical Principles

  • Nicolás Rubido

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Nicolás Rubido
    Pages 1-12
  3. Nicolás Rubido
    Pages 13-43
  4. Nicolás Rubido
    Pages 45-83
  5. Nicolás Rubido
    Pages 85-102
  6. Nicolás Rubido
    Pages 103-104
  7. Back Matter
    Pages 105-117

About this book

Introduction

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.

Keywords

Flow network solutions Kuramoto networks Phase synchronization Power-grid Stability Power-grid synchronization Resistor networks Swing equations

Authors and affiliations

  • Nicolás Rubido
    • 1
  1. 1.Universidad de la RepúblicaMontevideoUruguay

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-22216-5
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-22215-8
  • Online ISBN 978-3-319-22216-5
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book