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Chaos Elimination in Fractional-Order Single-Machine-Infinite-Bus Power System Using State-Feedback Control

机译:基于状态反馈控制的分数阶单机无穷大电力系统的混沌消除

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摘要

A fractional-order single-machine-infinite-bus (SMIB) power system model is studied numerically and dynamic behavior of the system is analyzed. The system shows chaotic oscillations when the parameter values or the order of the system dynamics differential equations fall into certain range. A simple state-feedback approach is applied which tends to extract low-periodic orbits from chaotic attractor and hence convert chaos into periodic motion. Numerical simulation results are obtained for robustness analysis against perturbations in initial condition as well as external disturbance which verifies the required control goal.
机译:数值研究了分数阶单机无穷大(SMIB)电力系统模型,并分析了系统的动态行为。当参数值或系统动力学微分方程的阶数落入特定范围时,系统显示混沌振荡。应用一种简单的状态反馈方法,该方法倾向于从混沌吸引子中提取低周期轨道,从而将混沌转换为周期性运动。获得了数值仿真结果,用于针对初始条件下的扰动以及外部扰动进行鲁棒性分析,从而验证了所需的控制目标。

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