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  Braess's paradox in oscillator networks, desynchronization and power outage

Witthaut, D., & Timme, M. (2012). Braess's paradox in oscillator networks, desynchronization and power outage. New Journal of Physics, 14: 083036. doi:10.1088/1367-2630/14/8/083036.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1097-8 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-1098-6
Genre: Journal Article

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 Creators:
Witthaut, Dirk1, Author              
Timme, Marc1, Author              
Affiliations:
1Max Planck Research Group Network Dynamics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063295              

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Free keywords: Electronics and devices Statistical physics and nonlinear systems
 Abstract: Robust synchronization is essential to ensure the stable operation of many complex networked systems such as electric power grids. Increasing energy demands and more strongly distributing power sources raise the question of where to add new connection lines to the already existing grid. Here we study how the addition of individual links impacts the emergence of synchrony in oscillator networks that model power grids on coarse scales. We reveal that adding new links may not only promote but also destroy synchrony and link this counter-intuitive phenomenon to Braess’s paradox known for traffic networks. We nalytically uncover its underlying mechanism in an elementary grid example, trace its origin to geometric frustration in phase oscillators, and show that it generically occurs across a wide range of systems. As an important consequence, upgrading the grid requires particular care when adding new connections because some may destabilize the synchronization of the grid—and thus induce power outages.

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Language(s): eng - English
 Dates: 2012-08-29
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Degree: -

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Title: New Journal of Physics
  Alternative Title : New J. Phys.
Source Genre: Journal
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Publ. Info: -
Pages: - Volume / Issue: 14 Sequence Number: 083036 Start / End Page: - Identifier: -