| As the development of society and economy, the size of the power system is becoming larger and larger, It will produce chaotic oscillations under certain conditions, and it would pose a serious threat to the safe and stable operation of the power system. This paper established second and fourth-order nonlinear models of power system, By using the basic theory of nonlinear systems, the interconnected two-machine system chaotic oscillation threshold region and the oscillation condition and steady-state of power system are studied By combined with the Melnikov method, the relation between bifurcation and chaos is gotten, Phase space is reconstructed by time series of the power system state variables, and the oscillation of the power system will be distinguished, through back-stepping and adaptive control methods, The controller will be designed and the chaotic oscillations would be eliminated effectively in power systems, and the synchronization control would be achieved. Finally, to the uncertainty of the unknown parameters of power system, the purpose of effectively eliminate or tracking of chaotic oscillations would be gotten in power systems.The paper mainly includes the following sections:(1) In this paper, A simple interconnected two-machine power system is as an object of study, The chaotic oscillation mechanism of power system is how to be produced, Combining with the Melnikov method, The threshold region of interconnected two-machine system chaotic oscillation and the oscillation conditions and the second and fourth order nonlinear model are achieved, and the criterion of the chaotic oscillations is also gotten. In the chaotic oscillation analysis and the signal detection of chaotic phenomena, the second-order model is used and the degree of difficulty is moderate, and the dynamic behavior of power system could be expressed. the second-order interconnect two-machine power system model is used in the electricity system, By using the back-stepping method and adaptive control theory, The effective damped or elimination of the chaotic oscillation purpose is achieved to the known parameters and unknown parameters of chaotic systems. Finally, the synchronization control is gotten by designing the appropriate controller and the adaptive control law and it verify the effectiveness of the method.(2) Using time series analysis method, the phase space is reconstructed of the system state variables, and the amplitude of the chaos oscillation signal is detected by hybrid method.(3) The adaptive controller is designed by using the back-stepping method according to the Lyapunov function and adaptive theory, the chaotic oscillation of the power system is eliminated effectively.(4) The adaptive controller is designed by using a novel algorithm, the effective realization of the synchronization control is realized effectively.(5) The adaptive controller and filter are designed by using the recursive method, the adaptive tracking control is realized to the unknown parameters and external disturbance uncertainty of power system.In this paper, the dynamic behavior of chaotic oscillation in power system is studied, the exact linearization conditions is validated and processed, and then by using the adaptive control method, the controller and the adaptive control law are designed, and as its role, the chaotic oscillations of the power system could be damped and eliminated effectively. Finally, and to achieve the synchronization and tracking control are also achieved. The simulation results verify its validity of the above methods effectively. |