Synchronization Analysis Of Smart Grid Based On Complex Network

With the electricity demand increasing and the scale of the power grid expanding,the topology of the power grid is becoming more and more complicated.At the same time,renewable energy,which is represented by wind energy and solar energy,is one of the development priorities of smart grid.These let smart grid face new security issues.Smart grid synchronization,which is the necessary condition of the stable operation of the smart grid,is one of the focus of the security study of large power grid.Complex network theory provides a theoretical tool for the study of the synchronous performance of the smart grid.Although complex network synchronization research is developing rapidly,it is still urgent to improve the synchronization performance of the smart grid based on complex network.In particular,the relationship between the topology of smart grid,the control strategy of complex network and the synchronization performance of the smart grid is urgent to be researched.Based on the synchronization theory of the complex network,combined with the characteristics and the analysis of the synchronous performance of the smart grid,this paper analyzes the relationship between the topology of the smart grid,the system control and the synchronous performance of the smart grid.The main research results of this paper are as follows:The synchronization problem of coupled oscillator network based on smart grid is explored.By using matrix theory,control theory and nonlinear system theory,the synchronization performance and the influence factors of homogeneous coupled oscillator network are analyzed,and the converge rate boundary is given which is mainly determined by the maximum of the phase deviation of the surrounding nodes and the center node,and the coupling strength between the nodes.Finally,numerical simulations are given to demonstrate the correctness and validity of the criterion.Synchronization control problem of networked oscillators with phase lags is explored.Distributed impulsive control strategies are developed to ensure the synchronization of coupled oscillator network with phase lags.By appropriately selecting the parameters of the impulsive controller,the synchronization boundary can be sufficiently and arbitrary small.Especially,when oscillators are identical and phase lags are uniform,the exponential convergence criteria are derived.The proposed control strategies are valid for arbitrary distributions of phase lags with a boundary.Finally,numerical simulations are given to illustrate the effectiveness of the proposed control strategies.