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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Energy Transmission and Synchronization in Complex Networks: Mathematical Principles

Energy Transmission and Synchronization in Complex Networks: Mathematical Principles

Rubido, Nicolás

Hardcover

Series: Springer Theses

Technology & EngineeringGeneral MathematicsGeneral Science

ISBN10: 3319222155
ISBN13: 9783319222158
Publisher: Springer
Published: Aug 29 2015
Pages: 117
Weight: 0.82
Height: 0.38 Width: 6.14 Depth: 9.21
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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