Heterogeneity effects in power grid network models

G. Ódor, Bálint Hartmann

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We have compared the phase synchronization transition of the second-order Kuramoto model on two-dimensional (2D) lattices and on large, synthetic power grid networks, generated from real data. The latter are weighted, hierarchical modular networks. Due to the inertia the synchronization transitions are of first-order type, characterized by fast relaxation and hysteresis by varying the global coupling parameter K. Finite-size scaling analysis shows that there is no real phase transition in the thermodynamic limit, unlike in the mean-field model. The order parameter and its fluctuations depend on the network size without any real singular behavior. In case of power grids the phase synchronization breaks down at lower global couplings, than in case of 2D lattices of the same sizes, but the hysteresis is much narrower or negligible due to the low connectivity of the graphs. The temporal behavior of desynchronization avalanches after a sudden quench to low K values has been followed and duration distributions with power-law tails have been detected. This suggests rare region effects, caused by frozen disorder, resulting in heavy-tailed distributions, even without a self-organization mechanism as a consequence of a catastrophic drop event in the couplings.

Original languageEnglish
Article number022305
JournalPhysical Review E
Volume98
Issue number2
DOIs
Publication statusPublished - Aug 8 2018

Fingerprint

Network Model
synchronism
Phase Synchronization
grids
Grid
Hysteresis
hysteresis
Kuramoto Model
Desynchronization
Second-order Model
Order Type
Heavy-tailed Distribution
Mean-field Model
Avalanche
Finite-size Scaling
Thermodynamic Limit
Self-organization
inertia
Inertia
Order Parameter

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Heterogeneity effects in power grid network models. / Ódor, G.; Hartmann, Bálint.

In: Physical Review E, Vol. 98, No. 2, 022305, 08.08.2018.

Research output: Contribution to journalArticle

Ódor, G. ; Hartmann, Bálint. / Heterogeneity effects in power grid network models. In: Physical Review E. 2018 ; Vol. 98, No. 2.
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