Energy Transmission and Synchronization in Complex Networks

Mathematical Principles

Nonfiction, Science & Nature, Science, Other Sciences, System Theory, Technology, Power Resources
Cover of the book Energy Transmission and Synchronization in Complex Networks by Nicolás Rubido, Springer International Publishing
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Author: Nicolás Rubido ISBN: 9783319222165
Publisher: Springer International Publishing Publication: August 20, 2015
Imprint: Springer Language: English
Author: Nicolás Rubido
ISBN: 9783319222165
Publisher: Springer International Publishing
Publication: August 20, 2015
Imprint: Springer
Language: English

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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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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