分数阶单机无穷母线电力系统的混沌及其自适应反演控制

现代非线性理论与应用(英文) Pub Date : 2016-09-16 DOI:10.4236/IJMNTA.2016.53013

Zhanhong Liang, Jinfeng Gao

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引用次数: 8

摘要

本文对分数阶单机无限母线(FOSMIB)电力系统的动力学行为进行了数值研究。在FOSMIB电力系统中观察到周期运动、倍周期分岔和混沌吸引子。用正最大李雅普诺夫指数(LLE)证实了混沌行为的存在性。基于分数阶反步法，提出了一种抑制FOSMIB电力系统混沌的自适应控制器。数值仿真结果验证了该控制器的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Chaos in a Fractional-Order Single-Machine Infinite-Bus Power System and Its Adaptive Backstepping Control

This paper has numerically studied the dynamical behaviors of a fractional-order single-machine infinite-bus (FOSMIB) power system. Periodic motions, period- doubling bifurcations and chaotic attractors are observed in the FOSMIB power system. The existence of chaotic behavior is affirmed by the positive largest Lyapunov exponent (LLE). Based on the fractional-order backstepping method, an adaptive controller is proposed to suppress chaos in the FOSMIB power system. Numerical simulation results demonstrate the validity of the proposed controller.

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来源期刊

现代非线性理论与应用(英文)

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发文量

111