Study On Chaotic Analysis And Control Of Ferroresonance

In recent years,with the complexity of the structure and operation mode of power system,many serious problems affecting the safe and stable operation of the system have been brought.Ferroresonance in power system is a complex problem that affects the safe operation of power grid.The chaotic phenomenon caused by ferroresonance seriously endangers the safety of related power equipment.Therefore,it is necessary to study the chaotic control of ferroresonance.Starting from the basic principle of Ferroresonance in power system,this thesis analyzed a ferromagnetic chaotic circuit,then the phenomenon of ferroresonance chaos,the influence of parameters on the dynamic behavior of the system,and the research on the suppression method of ferroresonance chaotic system were discussed.Firstly,the thesis analyzed the basic principle of ferroresonance,established the mathematical model of Ferroresonance in power system,and explored the conditions of chaotic generation.Secondly,for the control problem of precise mathematical model,considering that the fixed-time control can guarantee the fast convergence time of the system and does not depend on the initial conditions of the system,based on the in-depth understanding of the fixed-time control theory,a ferroresonance fixed-time chaotic controller was designed.Then,considering that it is difficult to measure the parameters of the system accurately,the adaptive control method was introduced to estimate the unknown parameters,combined with the fixed-time control method,the chaotic controller was designed synthetically.Furthermore,in order to avoid the shortcomings of the control algorithm in the increasingly complex practical production and seek better control performance,an adaptive fixed-time terminal sliding mode control algorithm was proposed to design the chaotic controller,so as to improve the convergence and robustness of the system.Finally,the simulation results showed that the designed controller can eliminate the chaos in the ferroresonance,suppressed the oscillation quickly,which had strong robustness to the uncertain parameters and external interference,and reached the stable state quickly in a fixed time to achieve safe and stable operation.There are 26 pictures and 72 references in this paper.