四阶混沌电力系统的全局快速滑模控制器设计
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TM712

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国家自然科学基金资助项目(51877162)


Global Fast Sliding Mode Controller Design for a Four-Dimensional Chaotic Power System
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    摘要:

    文章的目的在于为四阶混沌电力系统设计具有全局快速收敛特性的储能型滑模控制器。首先,构建了具有储能装置的受控电力系统,利用混沌理论的基本分析方法对原有四阶电力系统的混沌振荡现象进行分析。然后,将受控电力系统的混沌控制问题转化为二阶非线性系统的控制,为二阶非线性系统定义新型滑模面并与已有滑模面进行比较,从而论证其在克服抖振及奇异问题时具有优越性,并为该非线性系统提出具有全局快速性能的滑模控制方法。最后,将该滑模控制方法用于设计电力系统混沌控制器并通过数值仿真证实控制器的有效性。所提方法的重要特点在于能够凸显电力系统混沌控制的基本规律。

    Abstract:

    The purpose of the paper is to design an energy storage sliding mode controller with global fast convergence for a classical four-dimensional chaotic power system. Firstly, a controlled power system with energy storage devices was constructed, and chaotic oscillation in the original power system was analyzed by using the basic analysis method of chaos theory. Then, chaos control problem in the controlled power system was transformed into controlling a second-order nonlinear system. A new sliding surface was defined for the nonlinear system and compared with the existing sliding surfaces to demonstrate its superiority in overcoming chattering and singularity, and a sliding mode control strategy with global fast performance was proposed for it. Finally, the strategy was applied to design chaos controllers for the power system and its effectiveness was verified by simulation. The important feature of the proposed method is that it highlights the basic law of chaos control in power system.

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李晓腾,王江彬,刘崇新,等. 四阶混沌电力系统的全局快速滑模控制器设计[J]. 科学技术与工程, 2021, 21(24): 10298-10303.
Li Xiaoteng, Wang Jiangbin, Liu Chongxin, et al. Global Fast Sliding Mode Controller Design for a Four-Dimensional Chaotic Power System[J]. Science Technology and Engineering,2021,21(24):10298-10303.

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  • 收稿日期:2020-12-19
  • 最后修改日期:2021-05-25
  • 录用日期:2021-04-28
  • 在线发布日期: 2021-09-01
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