Watts-Strogatz型小世界发电机网络混沌振荡的有限时间混合控制

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摘要 Watts-Strogatz型小世界发电机网络的系统参数处于某些范围时，会出现混沌振荡，这将严重危及发电机网络传动系统的稳定运行。因此，如何控制发电机网络中的混沌振荡成为保持其稳定性的关键问题。以直驱永磁同步风力发电机为节点，研究了Watts-Strogatz型小世界发电机网络的混沌控制。首先结合反馈控制和有限时间稳定性理论设计混合控制器，不仅使整个发电机网络达到目标平衡点，还能确保网络在有限时间内稳定。然后基于李雅普诺夫函数理论证明此方案的可行性，同时获得发电机网络混沌振荡控制的充分条件，最后数值仿真验证理论分析结果的正确性和有效性。

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	刘利花1
	韦笃取1
	张波2

关键词 ：小世界网络, 永磁同步风力发电机, 混沌控制, 有限时间稳定性

Abstract：The generator networks with Watts-Strogatz small-world topology can exhibit chaotic behaviors when their systemic parameters fall into a certain area, which will threaten the secure and stable operation of the generator systems.It is thus important to suppress chaos.In this work, taking each direct-driven permanent magnet synchronous generator for wind power into account as a network node, and a method of controlling chaos in the generator networks with small-world topology was studied.First, a novel hybrid controller was presented based on feedback control and the finite-time stability theory.The control scheme can take the nodes of generator network to be equilibrium point and guarantee generator network to be stable within finite-time.Then through the Lyapunov function, the correctness of proposed control law was proved.And the sufficient conditions were derived for finite-time chaos suppression of the generator networks by the finite-time stability theory.Simulation results show the effectiveness of the analytical results.

Key words： small-world network；direct-driven permanent magnet synchronous generator for wind power chaos control finite-time stability

收稿日期: 2018-03-20 出版日期: 2019-08-15

引用本文:

刘利花1，韦笃取1，张波2. Watts-Strogatz型小世界发电机网络混沌振荡的有限时间混合控制[J]. 振动与冲击, 2019, 38(16): 77-82.
LIU Lihua1，WEI Duqu1，ZHANG Bo2. Finite-time hybrid chaos control in generator networks with Watts-Strogatz small-world topology. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(16): 77-82.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I16/77

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