Dynamic and Adaptive Synchronization Analysis of a new Five-dimension Hyperchaotic System for Power Systems

The power system is a typical nonlinear system, and its rich dynamic behavior can be regarded as a high-dimensional chaotic system, which is a mathematical theoretical direction for the study of power system excitation and response. The dynamic characteristics and adaptive synchronization of a new five-dimension hyper chaotic system is analyzed. Its dynamic characteristics from the aspects of dissipation, Lyapunov exponent diagram, and stability of equilibrium points are examined. A passive based adaptive synchronization problem between systems is considered by combining the theory of passivity and adaptive control methods. Finally, numerical simulations are conducted in MATLAB, and time-domain waveforms of state variables and error variables are plotted. The results show that adaptive hybrid synchronization is achieved between systems. The numerical simulation results indicate the correctness of the synchronization theory analysis and the effectiveness of the synchronization method.