SYNCHRONIZATION OF A KURAMOTO-LIKE MODEL FOR POWER GRIDS WITH FRUSTRATION

被引：1
作者：
Zhao, Xiaoxue [1 ]
Li, Zhuchun [1 ,2 ]
机构：
[1] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[2] Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China
来源：
NETWORKS AND HETEROGENEOUS MEDIA | 2020年 / 15卷 / 03期
关键词：
Synchronization; Kuramoto-like model; frustration; power grids; OSCILLATORS; STABILITY; NETWORKS;
D O I：
10.3934/nhm.2020030
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the complete synchronization for a Kuramoto-like model for power grids with frustration. For identical oscillators without frustration, it will converge to complete phase and frequency synchronization exponentially fast if the initial phases are distributed in a half circle. For nonidentical oscillators with frustration, we present a framework leading to complete frequency synchronization where the initial phase configurations are located inside the half of a circle. Our estimates are based on the monotonicity arguments of extremal phase and frequency.
引用
收藏
页码：543 / 553
页数：11
相关论文
共 16 条
  • [1] The Kuramoto model:: A simple paradigm for synchronization phenomena
    Acebrón, JA
    Bonilla, LL
    Vicente, CJP
    Ritort, F
    Spigler, R
    [J]. REVIEWS OF MODERN PHYSICS, 2005, 77 (01) : 137 - 185
  • [2] BIOLOGY OF SYNCHRONOUS FLASHING OF FIREFLIES
    BUCK, J
    BUCK, E
    [J]. NATURE, 1966, 211 (5049) : 562 - &
  • [3] Complete position synchronization in the power grid system
    Choi, Sun-Ho
    Ryoo, Intae
    Hong, Bum Il
    [J]. APPLIED MATHEMATICS LETTERS, 2018, 84 : 19 - 25
  • [4] Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings
    Choi, Young-Pil
    Li, Zhuchun
    [J]. NONLINEARITY, 2019, 32 (02) : 559 - 583
  • [5] Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model
    Choi, Young-Pil
    Ha, Seung-Yeal
    Jung, Sungeun
    Kim, Yongduck
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (07) : 735 - 754
  • [6] Synchronization in complex networks of phase oscillators: A survey
    Doerfler, Florian
    Bullo, Francesco
    [J]. AUTOMATICA, 2014, 50 (06) : 1539 - 1564
  • [7] SYNCHRONIZATION AND TRANSIENT STABILITY IN POWER NETWORKS AND NONUNIFORM KURAMOTO OSCILLATORS
    Doerfler, Florian
    Bullo, Francesco
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2012, 50 (03) : 1616 - 1642
  • [8] AN ADAPTIVE MODEL FOR SYNCHRONY IN THE FIREFLY PTEROPTYX-MALACCAE
    ERMENTROUT, B
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 1991, 29 (06) : 571 - 585
  • [9] Analysis of a power grid using a Kuramoto-like model
    Filatrella, G.
    Nielsen, A. H.
    Pedersen, N. F.
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2008, 61 (04) : 485 - 491
  • [10] Emergence of Phase-Locking in the Kuramoto Model for Identical Oscillators with Frustration
    Ha, Seung-Yeal
    Ko, Dongnam
    Zhang, Yinglong
    [J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2018, 17 (01): : 581 - 625
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