六阶电力系统混沌振荡的有限时间滑模控制

Finite-time sliding mode control of chaotic oscillations in sixth-order power systems

电力系统作为一个典型的复杂动态系统,在实际运行过程中,特定的参数及初始值可能会使其产生混沌振荡,甚至导致整个电力系统崩溃。为了抑制电力系统的混沌,该研究为六阶电力系统设计混沌控制器。首先,利用时间序列图和相图对复杂的六阶电力系统的基本动力学行为进行了分析,证明其存在混沌行为;然后,基于电力系统混沌振荡由能量过剩引起的思路,引入储能装置的动态模型,吸收受控系统过剩的有功功率,并提出了一种稳定的有限时间滑模控制方法来抑制系统的混沌振荡;最后,数值仿真验证了所设计控制器的有效性。

As a typical complex dynamic system,the power system,with specific parameters and initial values,may cause chaotic oscillations in the actual operation and even lead to the collapse of the whole power system.In order to suppress the chaos in power systems,the chaotic controller for a sixth-order power system was designed.First,the basic dynamical behavior of the complex sixth-order power system was analyzed using the time series diagram and phase diagram to prove the existence of chaotic behavior.Then,based on the idea that chaotic oscillations in power systems are caused by excess energy,the dynamic model of an energy storage device was introduced to absorb the excess active power of the controlled system,and a stable finite-time sliding mode control method was proposed to suppress the chaotic oscillations of the system.At the same time,the hyperbolic tangent function was introduced to suppress the chatter.Finally,a numerical simulation verifies the effectiveness of the designed controller.