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应用延时反馈控制电力系统混沌振荡
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摘 要：混沌是非线性系统的固有现象。电力系统是典型的非线性系统，存在着复杂的混沌振荡，它威胁着系统的安全稳定运行。本文利用混沌控制方法之一——延迟反馈法(DFC)控制电力系统混沌振荡，利用Melnikov方法确定延迟时间和反馈系数。数字仿真结果表明，选择适当的延迟时间和反馈系数能够镇定系统的不稳定周期轨道(UPO)、消除混沌，并能使系统从失稳状态进入稳定状态。由于不需要外加参考信号，延迟时间与UPO的周期无关，不必是UPO周期的整数倍，所以该方法简单易行。
关键词：混沌振荡；延迟反馈控制；电力系统稳定性
CONTROLLING POWER SYSTEM CHAOTIC OSCILLATION BY
TIME-DELAYED FEEDBACK
ABSTRACT: Chaos is an inherent phenomenon of nonlinear systems. Power system is a typical nonlinear system where complicated chaotic oscillations exist and threaten the secure and stable operation of power systems. Here, the power system chaotic oscillation is controlled by one of chaotic control ways, i.e., time-delayed feedback control (DFC), and the delayed time and gain coefficient are determined by Melnikov’s method. Simulation result shows that choosing proper delayed time and gain coefficient the unstable periodic orbits (UPO) of the system can be ballasted and the chaos can be eliminated, and the system can be changed from unstable to stable. Because the additional reference signal is not necessary, the delayed time is not related to the period of UPO and should not be the integral multiple of the period of UPO, so the presented method is simple and easy to apply.
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