Synchronization Of Complex Networks And Its Application In Hydroelectric Systems

The synchronization of complex networks exists in nature and artificial systems. It has theimportant theoretical significance and application value. The power grid is a typical complexnetwork, and the synchronization of complex networks theory that applied to power system also hasfar-reaching significance. In this paper, the synchronization problem of complex networks and itsapplication in the power networks are studied, and the main research results are as follows:Firstly, considering the delay factor in the real complex networks, adaptive synchronization ofstate-coupling and output-coupling complex networks with delayed coupling are respectivelyinvestigated by adaptive control. Based on Lyapunov stability theory, synchronization criteria ofcomplex networks with delayed coupling are given. Then Numerical simulations for typicalnetworks verify the effectiveness of the methods.Secondly, on the basis of the above research, the adaptive synchronization scheme of complexnetworks with delayed coupling is applied to the hydroelectric power system. Four orderhydroelectric power system composed of the hydraulic turbine governing system model and themodel of synchronous generators is considered as the controlled object. The nodes in the networkrepresent substations, load and power plants, and the edges represent transmission lines, and theweight values of the edges represent the trend of transmission capacity and constraints of powertransmission. Considering delay factor, a reasonable mathematical model is constructed to achieve abalance of the generator speed and power output.Finally, this paper investigates the synchronization scheme of complex networks by impulsivecontrol, and it is applied to the hydroelectric power system. Reasonable impulsive controllers aredesigned, and a sufficient condition for the balance of the generator speed and power output isgiven. Numerical simulations verify the effectiveness of the method.