Phase Synchronization Stability of Non-Homogeneous Low-Voltage Distribution Networks with Large-Scale Distributed Generations

The ideal distributed network composed of distributed generations (DGs) has unweighted and undirected interactions which omit the impact of the power grid structure and actual demand. Apparently, the coupling relationship between DGs, which is determined by line impedance, node voltage, and droop coefficient, is generally non-homogeneous. Motivated by this, this paper investigates the phase synchronization of an islanded network with large-scale DGs in a non-homogeneous condition. Furthermore, we explicitly deduce the critical coupling strength formula for different weighting cases via the synchronization condition. On this basis, three cases of Gaussian distribution, power-law distribution, and frequency-weighted distribution are analyzed. A synthetical analysis is also presented, which helps to identify the order parameter. Finally, this paper employs the numerical simulation methods to test the effectiveness of the critical coupling strength formula and the superiority over the power-law distribution.

[1]  Richard Taylor,et al.  Synchronization Properties of Trees in the Kuramoto Model , 2012, SIAM J. Appl. Dyn. Syst..

[2]  C. Wu.  Synchronizability of networks of chaotic systems coupled via a graph with a prescribed degree sequence , 2005 .

[3]  Xin Biao Lu,et al.  Adaptive approach to global synchronization of directed networks with fast switching topologies , 2010 .

[4]  Francesco Bullo,et al.  Synchronization and power sharing for droop-controlled inverters in islanded microgrids , 2012, Autom..

[5]  A. Vespignani,et al.  The architecture of complex weighted networks. , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Xiaoqing Lu,et al.  Nonlinear Mean-Square Power Sharing Control for AC Microgrids Under Distributed Event Detection , 2021, IEEE Transactions on Industrial Informatics.

[7]  Fabian M. Uriarte,et al.  Microgrid Ramp Rates and the Inertial Stability Margin , 2015, IEEE Transactions on Power Systems.

[8]  Yuan-Kang Wu,et al.  Study of Reconfiguration for the Distribution System With Distributed Generators , 2010, IEEE Transactions on Power Delivery.

[9]  Haitham Abu-Rub,et al.  Impact of grid-tied large-scale photovoltaic system on dynamic voltage stability of electric power grids , 2017 .

[10]  Ming-Yue Zhai,et al.  Transmission Characteristics of Low-Voltage Distribution Networks in China Under the Smart Grids Environment , 2011, IEEE Transactions on Power Delivery.

[11]  S. Boccaletti,et al.  Synchronization is enhanced in weighted complex networks. , 2005, Physical review letters.

[12]  L. Tian,et al.  Effects of coupling-frequency correlations on synchronization of complete graphs , 2013 .

[13]  Kashem M. Muttaqi,et al.  Management of Battery-Supercapacitor Hybrid Energy Storage and Synchronous Condenser for Isolated Operation of PMSG Based Variable-Speed Wind Turbine Generating Systems , 2014, IEEE Transactions on Smart Grid.

[14]  Antonietta Mira,et al.  Fast Maximum Likelihood Estimation via Equilibrium Expectation for Large Network Data , 2018, Scientific Reports.

[15]  Florian Dörfler,et al.  Synchronization in complex networks of phase oscillators: A survey , 2014, Autom..

[16]  Xin Li,et al.  Impact of core-periphery structure on cascading failures in interdependent scale-free networks , 2019, Physics Letters A.

[17]  Guanrong Chen,et al.  Network connection strengths: Another power-law? , 2003 .

[18]  Michael Chertkov,et al.  Synchronization in complex oscillator networks and smart grids , 2012, Proceedings of the National Academy of Sciences.

[19]  Frank L. Lewis,et al.  Cooperative Synchronization in Distributed Microgrid Control , 2017 .

[20]  Xinchu Fu,et al.  Complete synchronization and stability of star-shaped complex networks , 2006 .

[21]  Xinghuo Yu,et al.  Cluster-Oriented Distributed Cooperative Control for Multiple AC Microgrids , 2019, IEEE Transactions on Industrial Informatics.

[22]  Mahdi Jalili,et al.  Weighted coupling for geographical networks: Application to reducing consensus time in sensor networks , 2010 .

[23]  D. Helbing,et al.  The Hidden Geometry of Complex, Network-Driven Contagion Phenomena , 2013, Science.

[24]  Xinghuo Yu,et al.  Distributed Voltage Regulation for Cyber-Physical Microgrids With Coupling Delays and Slow Switching Topologies , 2020, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[25]  Mario di Bernardo,et al.  Synchronizability and Synchronization Dynamics of Weighed and Unweighed Scale Free Networks with Degree Mixing , 2007, Int. J. Bifurc. Chaos.

[26]  Damon Centola,et al.  The Spread of Behavior in an Online Social Network Experiment , 2010, Science.

[27]  Mingjian Cui,et al.  Energy-supported cascading failure model on interdependent networks considering control nodes , 2019, Physica A: Statistical Mechanics and its Applications.

[28]  Marco Aiello,et al.  Towards Decentralization: A Topological Investigation of the Medium and Low Voltage Grids , 2011, IEEE Transactions on Smart Grid.

[29]  I Leyva,et al.  Explosive synchronization in weighted complex networks. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Xiaoqing Lu,et al.  Stochastic Distributed Secondary Control for AC Microgrids via Event-Triggered Communication , 2020, IEEE Transactions on Smart Grid.

[31]  Xiang Li.  The role of degree-weighted couplings in the synchronous onset of Kuramoto oscillator networks , 2008 .