河北大学学报(自然科学版) ›› 2019, Vol. 39 ›› Issue (2): 132-136.DOI: 10.3969/j.issn.1000-1565.2019.02.004

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感应电动机转子磁链有限时间观测器的设计与仿真

李洁1,郭海军2,黄艳宾2,武晓晶3   

  • 收稿日期:2018-09-11 出版日期:2019-03-25 发布日期:2019-03-25
  • 作者简介:李洁(1982—),女,河北邯郸人,邯郸学院讲师,主要从事非线性物理中的经典混沌、混沌控制和同步、非线性控制理论等方向研究. E-mail:lijielijie1982@163.com
  • 基金资助:
    国家自然科学基金资助项目(11505045);河北省高等学校科学技术研究项目(QN2018326;BJ2017041);河北省科技厅项目(18212110);邯郸市科学技术研究与发展计划项目(1721202044-4;1121103183);邯郸学院重点项目(2018101)

Design and simulation of the finite-time observer of induction motor rotor flux

LI Jie1, GUO Haijun2, HUANG Yanbin2, WU Xiaojing3   

  1. 1. School of Mechanical and Electric Engineering, Handan University, Handan 056005, China; 2. School ofMathematical Science and Engineering, Hebei University of Engineering, Handan 056038, China; 3. Department of Electrical Engineering, Hebei University of Science and Technology, Shijiazhuang 050018, China
  • Received:2018-09-11 Online:2019-03-25 Published:2019-03-25

摘要: 针对感应电动机转子磁链的观测问题,根据有限时间理论,在建立感应电动机数学模型的基础之上,将定子电流和转子磁链作为系统状态,确定了感应电动机的状态方程,设计了有限时间观测器.此外,令观测误差在有限时间内收敛于一个给定的界,进一步收敛到零,由此实现了对磁链状态的观测.最后,通过求解线性矩阵不等式,得到状态观测器的增益值,并利用计算机仿真实现了磁链的有限时间观测,进一步验证了设计方法的有效性.

关键词: 转子磁链, 电动机, 有限时间, 观测器

Abstract: To solve the problem of observing rotor flux of the induction motor, based on the mathematic model of induction motor and the theory of finite-time, the state equation of induction motor is established and the finite time observer is designed by taking the stator current and rotor flux linkage as the state parameters of the system. In addition, the observation of the flux state is realized by making the observation error converge to a given boundary in a limited time and further converge to zero. Finally, based on the linear matrix inequality(LMI)approach, the gain value of the state observer is developed, and the finite time observation of the flux is realized by computer simulation, which further verifies the validity of the proposed design method.

Key words: rotor flux, electromotor, finite-time, observer

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