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1. Identity statement
Reference TypeConference Paper (Conference Proceedings)
Sitemtc-m21b.sid.inpe.br
Holder Codeisadg {BR SPINPE} ibi 8JMKD3MGPCW/3DT298S
Identifier8JMKD3MGP3W34P/3LTD92S
Repositorysid.inpe.br/mtc-m21b/2016/06.20.17.28
Metadata Repositorysid.inpe.br/mtc-m21b/2016/06.20.17.28.43
Metadata Last Update2018:06.04.02.40.56 (UTC) administrator
Secondary KeyINPE--PRE/
Citation KeyGrzybowskiMacaYone:2016:FrSyPo
TitleFrequency synchronization in power-grid models of Kuramoto-like oscillators
Year2016
Access Date2024, May 19
Secondary TypePRE CI
2. Context
Author1 Grzybowski, José Mario Vicensi
2 Macau, Elbert Einstein Nehrer
3 Yoneyama, Takashi
Resume Identifier1
2 8JMKD3MGP5W/3C9JGUT
Group1
2 LAC-CTE-INPE-MCTI-GOV-BR
Affiliation1 Universidade Federal da Fronteira Sul (UFFS)
2 Instituto Nacional de Pesquisas Espaciais (INPE)
3 Instituto Tecnológico de Aeronáutica (ITA)
Author e-Mail Address1 jose.grzybowski@uffs.edu.br
2 elbert.macau@inpe.br
3 takashi@ita.br
Conference NameInternational Conference on Nonlinear Science and Complexity, 6
Conference LocationSão José dos Campos, SP
Date16-20 May
History (UTC)2016-06-20 17:29:18 :: simone -> administrator :: 2016
2018-06-04 02:40:56 :: administrator -> simone :: 2016
3. Content and structure
Is the master or a copy?is the master
Content Stagecompleted
Transferable1
Content TypeExternal Contribution
Keywordscomplex networks
bifurcation analysis and applications
synchronization in nonlinear systems
Abstract: Recent studies have shown that stability and robustness in power grids can be studied by means of conceptual models that use oscillator models derived from the swing equation for electrical generators and machines connected through network structures that reproduce dynamical phenomena arising in real power-grids. A great deal of interest resides in the comprehension of the mechanisms leading to transitions between synchronous and incoherent states, the latter being characterized by the emergence of undesired situations in real power-grids, such as load shed and generation trip. In this sense, the so-called Kuramoto-like oscillator with bimodal distribution was studied on the basis of analytical and numerical methods that considered network topologies corresponding to those of real high-voltage transmission systems, from which dynamical parameters for the persistence of synchronization in the face of perturbations and nontrivial relations between dynamical and topological parameters were provided. A number of other studies also use Kuramoto-like models to study synchronization and stability issues in power-grids. The key point here is that these models are argued to capture the essential dynamical and structural properties allowing the identification of fundamental mechanisms and properties that matter for stability and robustness purposes, which can be matched to those emerging in real power-grids. In the context of power-grid models based on Kuramoto-like oscillators, synchronization is defined as the matching of the angular velocities of the oscillators, such that synchronized oscillators evolve most likely out of phase but with equal angular velocities over time. As such, coherence is usually measured by means of an order parameter in the interval [0,1], which is a function of synchronization quality and persistence over time. In this paper, we present analytical results on the critical coupling for synchronization in networks of Kuramoto-like oscillators. On the basis of the maximization of the phase deviation angle over the coupled oscillators, we seek for the minimum coupling that can provide synchrony. The analytical results are evaluated against an order parameter defined as the normalized sum of absolute values of phase deviations of the oscillators over time. The investigation of frequency synchronization over subsets of the parameter space of the synchronization problem for power-grid models of Kuramoto-like oscillators is carried out, from which we conclude that the analytical results are in good agreement with those observed in the numerical simulations. As a final remark, we note that the proposed approach allowed the study of synchronization in power-grid models in a consistent and meaningful way and it may help enhance the comprehension of power-grid dynamics in upcoming studies.
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Languageen
User Groupsimone
Reader Groupadministrator
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Visibilityshown
Read Permissionallow from all
Update Permissionnot transferred
5. Allied materials
Mirror Repositoryurlib.net/www/2011/03.29.20.55
Next Higher Units8JMKD3MGPCW/3ESGTTP
Host Collectionsid.inpe.br/mtc-m21b/2013/09.26.14.25.20
6. Notes
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