Optimization of Synchronization Performance in Power Grids with Local Order Parameters

doi:10.19596/j.cnki.1001-246x.7897

Abstract

Abstract: We use Kuramoto-like model as node model of power grids, and use local order parameters to describe local synchroniz ability. It shows that nodes with high power are difficult to locally synchronize to their direct neighbors. We propose a heterogeneous distribution method for network coupling strength. Keeping the total coupling strength, we increase coupling strength of links between high power nodes and their direct neighbor nodes, as well as links between other related nodes, and reduce coupling strength of links between the rest nodes. It shows that the method reduces critical synchronous coupling strength and improve synchronization performance in a certain range. As heterogeneity of the coupling strength is too great, synchronization performance of the network begins to deteriorate.

Key words: local order parameter, power grids, synchronization

CLC Number:

TM711

ZOU Yanli, WANG Ruirui, WU Lingjie, YAO Fei, WANG Yang. Optimization of Synchronization Performance in Power Grids with Local Order Parameters[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 36(4): 498-504.

References

[1] PAGANI G A, AIELLO M. From the grid to the smart grid, topologically[J]. Phys A, 2016, 449:160-175.
[2] 王光增, 曹一家, 包哲静, 等. 一种新型电力网络局域世界演化模型[J]. 物理学报, 2009, 58(6):3597-3602.
[3] MOTTER A E, MYERS S A, ANGHEL M, et al. Spontaneous synchrony in power-grid networks[J]. Nature Physics, 2013, 9(3):191-197.
[4] 崔爱香, 傅彦, 尚明生, 等. 复杂网络局部结构的涌现:共同邻居驱动网络演化[J]. 物理学报, 2011, 60(3):38901.
[5] STROGATZ S H. Exploring complex networks[J]. Nature, 2001, 410(6825):268-276.
[6] FAN W, LIU Z. An evalution method for node importance based on efficiency matrix[J]. Chinese J Comput Phys, 2013, 30(5):714-719.
[7] TANG L, LU J, WU X, et al. Impact of node dynamics parameters on topology identification of complex dynamical networks[J]. Nonlinear Dynamics, 2013, 73(1-2):1081-1097.
[8] LAN Q, ZOU Y, FENG C. Cascading failures of power grids under three attack strategies[J]. Chinese J Comput Phys, 2012, 29(6):943-948.
[9] LU L, CHEN D, REN X L, et al. Vital nodes identification in complex networks[J]. Physics Reports, 2016, 650:1-63.
[10] 孔江涛, 黄健, 龚建兴, 等. 基于复杂网络动力学模型的无向加权网络节点重要性评估[J]. 物理学报, 2018, 67(9):98901-098901.
[11] FILATRELLA G, NIELSEN A H, PEDERSEN N F. Analysis of a power grid using a Kuramoto-like model[J]. European Physical Journal B, 2008, 61(4):485-491.
[12] MORENO Y, PACHECO A F. Synchronization of Kuramoto oscillators in scale-free networks[J]. Europhysics Lettrs, 2004, 68(4):511-534.
[13] 冯聪, 邹艳丽, 韦芳琼. 簇间连接方式不同的簇网络的同步过程研究[J].物理学报, 2013.4, 62(7):070506.
[14] ROHDEN M, SORGE A, TIMME M, et al. Self-organized synchronization in decentralized power grids[J]. Physical Review Letters, 2012, 109(6):064101.
[15] WANG Y, ZOU Y, HUANG L, et al. Key nodes identification of power grid considering local and global characteristics[J]. Chinese J Comput Phys, 2018, 35(01):119-126.
[16] 傅杰, 邹艳丽, 谢蓉. 基于复杂网络理论的电力网络关键线路识别[J]. 复杂系统与复杂性科学, 2017, 14(3):91-96.
[17] ROHDEN M, SORGE A, WITTHAUT D, et al. Impact of network topology on synchrony of oscillatory power grids[J]. Chaos:An Interdisciplinary Journal of Nonlinear Science, 2014, 24(1):013123.
[18] ZHANG X, BOCCALETTI S, GUAN S, et al. Explosive synchronization in adaptive and multilayer networks[J]. Physical Review Letters, 2015, 114(3):038701.
[19] GUO L, ZHANG W Y, LUO Z J, et al. A dynamical approach to identify vertices' centrality in complex networks[J]. Physics Letters A, 2017, 381(48):3972-3977.