感应电动机转子磁链有限时间观测器的设计与仿真

doi:10.3969/j.issn.1000-1565.2019.02.004

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

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. 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/Abstract

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

中图分类号:

TP273

李洁,郭海军,黄艳宾,武晓晶. 感应电动机转子磁链有限时间观测器的设计与仿真[J]. 河北大学学报(自然科学版), 2019, 39(2): 132-136.

LI Jie, GUO Haijun, HUANG Yanbin, WU Xiaojing. Design and simulation of the finite-time observer of induction motor rotor flux[J]. Journal of Hebei University (Natural Science Edition), 2019, 39(2): 132-136.

参考文献

[1] 杨淑英,王伟,谢震,等.基于全阶状态滑模观测器的异步电机转子磁链观测[J].电气传动, 2015, 45(8):3-8. DOI:10.19457/j.1001-2095.2015.08.001.
[2] 张红,何小敏. 基于SOGI和FLL的感应电机磁链观测器设计[J].微特电机, 2018, 46(4):26-32. DOI:1004-7018-46-4-26-32.
[3] 孙嘉伟,郑泽东,李永东.无差拍直接转矩控制的MRAS参数辨识方法[J].电气传动, 2018, 48(5):3-7. DOI:10.19457/j.1001-2095.20180501.
[4] 韦文祥,刘国荣.基于扩展状态观测器模型与定子电阻自适应的磁链观测器及其无速度传感器应用[J].中国电机工程学报, 2015, 35(23):6194-6202. DOI:10.13334/j.0258-8013.pcsee.2015.23.028.
[5] 吴文进,苏建徽,刘鹏,等.感应电机全阶磁链观测器设计及其控制性能对比分析[J].电机与控制学报,2016, 20(4):78-83. DOI:10.15938/j.emc.2016.04.011.
[6] 邓歆,张广明,王德明,等.异步电机全阶磁链观测器反馈矩阵设计[J].电机与控制学报, 2015, 19(12):7-17.DOI:10.15938/j.emc.2015.12.002.
[7] 韦文祥,刘国荣.基于CESO磁链观测器的模型参考自适应感应电机转速辨识[J].电机与控制学报, 2016, 20(4):57-63. DOI:10.15938/j.emc.2016.04.008.
[8] 肖甘,黄勤陆. 基于磁链滑模观测器的 IPMSM 无传感器控制系统研究[J].微电机, 2014, 47(6):57-60. DOI:10.15934/j.cnki.micromotors.2014.06.016.
[9] 樊生文,周鹏,赵新咏. 交流调速电机稳定性观测器设计研究[J].计算机仿真, 2017, 34(3):263-267. DOI:10.3969/j.issn.1006-9348.2017.03.058.
[10] 缪仲翠,赵静琼,杨宁. 基于速度关联函数的感应电机磁链观测研究[J].控制工程, 2015, 22(4):654-658. DOI:10.14107/j.cnki.kzgc.140363.
[11] 周扬忠,毛洁.基于有效磁链概念的永磁同步电动机新型定子磁链滑模观测器[J].中国电机工程学报, 2013, 33(12):152-158. DOI:10.13334/j.0258-8013.pcsee.2013.12.020.
[12] DORATO P. Short time stability in linear time-varying systems [C] //Proceedings of the IRE International Convention Record Part 4, 1961:83-87.
[13] MISHRA J, WANG L P, ZHU Y K, et al. A novel mixed cascade finite-time switching control design for induction motor[J].IEEE Transaction on Industrial Electronics, 2019,66(2):1172-1181. DOI:10.1109/TIE.2018.2829673.
[14] IBRIR S. Finite-time speed/flux trajectory tracking of induction machines[C] //Conference of the IEEE Industrial Electronics Society, IEEE, 2017:250-255.DOI:10.1109/IECON.2017.8216046.
[15] CHEN X, DU H, CHEN D. Finite-time speed regulation control for permanent magnet synchronous motor system[C] //IEEE International Conference on Control & Automation, IEEE, 2017:40-45. DOI:10.1109/ICCA.2017.8003032.
[16] ABDELILAH C, BACHIR D, ABDELMADJID G, et al. Finite-time integral sliding mode control for chaotic permanent magnet synchronous motor systems[J].Archives of Electrical Engineering, 2017, 66(2):229-239. DOI:10.1515/aee-2017-0017.
[17] AMATO F, DAROUACH M, TOMMASI G D. Finite-time stabilizability, detectability and dynamic output feedback finite-time stabilization of linear systems [J].IEEE Transactions on Automatic Control, 2017, 62(12):6521-6528. DOI:10.1109/TAC.2017.2660758.
[18] AMATO F, ARIOLA M, COSENTINO C. Robust Finite-time stabilization via dynamic output feedback:An LMI approach [J].IFAC Proceedings Volumes, 2003, 36(11):413-418. DOI:10.1016/S1474-6670(17)35699-9.
[19] 夏超英.交直流传动系统的自适应控制[M]. 北京:机械工业出版社,1998:116-128.
[20] AMATO F, AROBLIA M, DORATO P. Finite-time control of linear systems subject to parametric uncertainties and disturbance [J].Automatica,2001,37:1459-1463.

感应电动机转子磁链有限时间观测器的设计与仿真

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

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