基于广义投影同步的铁磁谐振混沌抑制

Chaos Restraint of Ferroresonance Based on Generalized Projective Synchronization

为了确保电网的安全运行，抑制铁磁谐振混沌现象。文中提出了抑制铁磁谐振混沌现象的新方法，该方法采用广义投影同步理论，设计了合适的反馈控制器，实现了铁磁谐振混沌系统对目标系统进行成比例的同步控制。无论目标系统是否运行在正常的工况，当选取适当的缩放因子时，该方法都能将铁磁谐振混沌系统工作电压限制在正常范围内。而且根据系统的实际需要，还能够实现混沌系统与目标系统之间的同相位或反相位的同步追踪控制。仿真结果表明，该方法的有效性与理论分析一致，能够有效抑制铁磁谐振过电压混沌现象。

In order to ensure the safe operation of power grid and restrain ferroresonance chaos phenomenon. This paper proposes a new method of restraining chaotic phenomena of ferroresonance. The method utilizes generalized projection synchronization theory, designs an appropriate feedback controller, and realizes the proportional synchronous control of the chaos system of ferroresonance to the target system. Whether if the target system is running in the normal condition or not, the method all can restrict the working voltage of ferroresonanee chaos system in the normal range while an appropriate scale factor is selected. Meanwhile, the method is also able to realize the in-phase or inverse phase synchronization tracking control between the chaos system and the target system as per the actual needs of the original system. The simulation results show that the effectiveness of the method is consistent with the theoretical analysis, so it would be capable of restricting the overvoltage chaos phenomena of ferroresonance effectively.