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Research Papers

Dynamic Analysis and Control of a Permanent Magnet Synchronous Motor With External Perturbation

[+] Author and Article Information
Libiao Wang

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: wanglibiao@tzc.edu.cn

Jian Fan

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: fanjian@tzc.edu.cn

Zhengchu Wang

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: wangzc@tzc.edu.cn

Baishao Zhan

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: zbs115@tzc.edu.cn

Jun Li

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: lijun@tzc.edu.cn

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 7, 2014; final manuscript received September 22, 2015; published online October 20, 2015. Assoc. Editor: M. Porfiri.

J. Dyn. Sys., Meas., Control 138(1), 011003 (Oct 20, 2015) (7 pages) Paper No: DS-14-1318; doi: 10.1115/1.4031726 History: Received August 07, 2014; Revised September 22, 2015

Chaotic motion and chaos control of a permanent magnet synchronous motor (PMSM) are studied in this paper. The dynamics of chaotic PMSM with load vibration perturbation is presented and its complex dynamic characteristics are analyzed by using bifurcation diagrams, Lyapunov exponents, and phase portraits. Furthermore, an adaptive neural sliding mode control is addressed to suppress chaos oscillations for the PMSM. The neural network approximation is applied in the controller to emulate of the load perturbation. Simulation results show that the proposed control scheme can eliminate the chaos and make the system achieve stable states even with the existence of unknown load vibration disturbance.

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References

Chan, C. C. , and Chau, K. T. , 1997, “ An Overview of Power Electronics in Electric Vehicles,” IEEE Trans. Ind. Electron., 44(1), pp. 3–13. [CrossRef]
Cho, Y. , Lee, K. B. , Song, J. H. , and Lee, Y. I. , 2015, “ Torque-Ripple Minimization and Fast Dynamic Scheme for Torque Predictive Control of Permanent-Magnet Synchronous Motors,” IEEE Trans. Power Electron., 30(4), pp. 2182–2190. [CrossRef]
Ananthamoorthy, N. P. , and Baskaran, K. , 2015, “ High Performance Hybrid Fuzzy PID Controller for Permanent Magnet Synchronous Motor Drive With Minimum Rule Base,” J. Vib. Control, 21(1), pp. 181–194. [CrossRef]
Jung, J. W. , Leu, V. Q. , Do, T. D. , Kim, E. K. , and Choi, H. H. , 2014, “ Adaptive PID Speed Control Design for Permanent Magnet Synchronous Motor Drives,” IEEE Trans. Power Electron., 30(2), pp. 900–908. [CrossRef]
Deane, J. H. , and Hamill, D. C. , 1990, “ Instability, Subharmonics, and Chaos in Power Electronic Systems,” IEEE Trans. Power Electron., 5(3), pp. 260–268. [CrossRef]
Jing, Z. , Yu, C. , and Chen, G. , 2004, “ Complex Dynamics in a Permanent-Magnet Synchronous Motor Model,” Chaos, Solitons Fractals, 22(4), pp. 831–848. [CrossRef]
Meng, Z. , Sun, C. , An, Y. , Cao, J. , and Gao, P. , 2007, “ Chaos Anti-Control of Permanent Magnet Synchronous Motor Based on Model Matching,” IEEE International Conference on Electrical Machines and Systems, pp. 1748–1752.
Hemati, N. , 1994, “ Strange Attractors in Brushless DC Motors,” IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., 41(1), pp. 40–45. [CrossRef]
Li, Z. , Zhang, B. , Tian, L. , Mao, Z. , and Pong, M. H. , 1999, “ Strange Attractors in Permanent-Magnet Synchronous Motors,” IEEE International Conference on Power Electronics and Drive Systems, Vol. 1, pp. 150–155.
Li, Z. , Park, J. B. , Joo, Y. H. , Zhang, B. , and Chen, G. , 2002, “ Bifurcations and Chaos in a Permanent-Magnet Synchronous Motor,” IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., 49(3), pp. 383–387. [CrossRef]
Hu, J. , Liu, L. , and Ma, D. W. , 2014, “ Robust Nonlinear Feedback Control of a Chaotic Permanent-Magnet Synchronous Motor With a Load Torque Disturbance,” J. Korean Phys. Soc., 65(12), pp. 2132–2139. [CrossRef]
Gao, Y. , and Chau, K. T. , 2004, “ Hopf Bifurcation and Chaos in Synchronous Reluctance Motor Drives,” IEEE Trans. Energy Convers., 19(2), pp. 296–302. [CrossRef]
Ataei, M. , Kiyoumarsi, A. , and Ghorbani, B. , 2010, “ Control of Chaos in Permanent Magnet Synchronous Motor by Using Optimal Lyapunov Exponents Placement,” Phys. Lett. A, 374(41), pp. 4226–4230. [CrossRef]
Zaher, A. A. , 2008, “ A Nonlinear Controller Design for Permanent Magnet Motors Using a Synchronization-Based Technique Inspired From the Lorenz System,” Chaos: Interdiscip. J. Nonlinear Sci., 18(1), p. 013111. [CrossRef]
Yu, J. , Chen, B. , Yu, H. , and Gao, J. , 2011, “ Adaptive Fuzzy Tracking Control for the Chaotic Permanent Magnet Synchronous Motor Drive System Via Backstepping,” Nonlinear Anal.: Real World Appl., 12(1), pp. 671–681. [CrossRef]
Choi, H. H. , 2012, “ Adaptive Control of a Chaotic Permanent Magnet Synchronous Motor,” Nonlinear Dyn., 69(3), pp. 1311–1322. [CrossRef]
Babaei, M. , Nazarzadeh, J. , and Faiz, J. , 2008, “ Nonlinear Feedback Control of Chaos in Synchronous Reluctance Motor Drive Systems,” IEEE International Conference on Industrial Technology, Chengdu, China, Apr. 21–24, pp. 1–5.
Chang, S. C. , 2010, “ Synchronization and Controlling Chaos in a Permanent Magnet Synchronous Motor,” J. Vib. Control, 16(12), pp. 1881–1894. [CrossRef]
Hao, J. H. , Wang, X. W. , and Zhang, H. , 2014, “ Chaotic Robust Control of Permanent Magnet Synchronous Motor System Under Uncertain Factors,” Acta Phys. Sin., 63(22), p. 220203.
Wang, J. , Chen, X. , and Fu, J. , 2014, “ Adaptive Finite-Time Control of Chaos in Permanent Magnet Synchronous Motor With Uncertain Parameters,” Nonlinear Dyn., 78(2), pp. 1321–1328. [CrossRef]
Prior, G. , and Krstic, M. , 2015, “ A Control Lyapunov Approach to Finite Control Set Model Predictive Control for Permanent Magnet Synchronous Motors,” ASME J. Dyn. Syst. Meas. Control, 137(1), p. 011001. [CrossRef]
Zribi, M. , Oteafy, A. , and Smaoui, N. , 2009, “ Controlling Chaos in the Permanent Magnet Synchronous Motor,” Chaos, Solitons Fractals, 41(3), pp. 1266–1276. [CrossRef]
Yu, J. , Yu, H. , Chen, B. , Gao, J. , and Qin, Y. , 2012, “ Direct Adaptive Neural Control of Chaos in the Permanent Magnet Synchronous Motor,” Nonlinear Dyn., 70(3), pp. 1879–1887. [CrossRef]
Bao, B. C. , 2013, An Introduction to Chaotic Circuits, Science Press, Beijing.
Hilborn, R. C. , 1994, Chaos and Nonlinear Dynamics: An Introduction for Scientists and Engineers, Oxford University, London.
Ramasubramanian, K. , and Sriram, M. S. , 2000, “ A Comparative Study of Computation of Lyapunov Spectra With Different Algorithms,” Phys. D, 139(1), pp. 72–86. [CrossRef]
Chandrasekar, A. , Rakkiyappan, R. , Cao, J. , and Lakshmanan, S. , 2014, “ Synchronization of Memristor-Based Recurrent Neural Networks With Two Delay Components Based on Second-Order Reciprocally Convex Approach,” Neural Networks, 57, pp. 79–93. [CrossRef] [PubMed]
Ku, C. C. , and Lee, K. Y. , 1995, “ Diagonal Recurrent Neural Networks for Dynamic Systems Control,” IEEE Trans. Neural Networks, 6(1), pp. 144–156. [CrossRef]
Zheng, J. F. , Feng, Y. , and Lu, Y. L. , 2009, “ High-Order Terminal Sliding-Mode Control for Permanent Magnet Synchronous Motor,” Control Theory Appl., 26(6), pp. 697–700.

Figures

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Fig. 1

Bifurcation diagram of d-axis current versus f

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Fig. 2

Lyapunov exponent of the PMSM via f

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Fig. 3

Steady-state waveforms and trajectory when f = 0 Hz: (a) d-axis current, (b) q-axis current, (c) motor angular speed, and (d) phase space

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Fig. 4

Chaotic waveforms and trajectory when f = 0.2 Hz: (a) d-axis current, (b) q-axis current, (c) motor angular speed, and (d) phase space

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Fig. 5

Periodic waveforms and trajectory when f = 0.35 Hz: (a) d-axis current, (b) q-axis current, (c) motor angular speed, and (d) phase space

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Fig. 6

The structure of controller for PMSM

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Fig. 7

State variables of chaotic PMSM with the controller active at t = 100 s: (a) d-axis current, (b) q-axis current, and (c) motor angular speed

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Fig. 8

Phase diagram of chaotic PMSM without the controller: (a) x2-x1 plane, (b) x3-x1 plane, and (c) x3-x2 plane

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Fig. 9

Phase diagram of chaotic PMSM with the controller: (a) x2-x1 plane, (b) x3-x1 plane, and (c) x3-x2 plane

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Fig. 10

Estimation of load disturbance

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Fig. 11

The norms of weights for DRNN

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