Year 2020,
Volume: 2 Issue: 1, 40 - 48, 30.06.2020
Alex Stéphane Kemnang Tsafack
,
Romanic Kengne
André Cheukem
Justin Roger Mboupda Pone
Godpromesse Kenne
References
- Asakura, T., K. Yoneda, Y. Saito, and M. Shioya, 2000 Chaos detection in velocity control of induction motor and its control by using neural network. In WCC 2000-ICSP 2000. 2000 5th International Conference on Signal Processing Proceedings. 16th World Computer Congress 2000, volume 3, pp. 1633–1638, IEEE.
- Chau, K., J. Chen, C. Chan, J. K. Pong, and D. Chan, 1997 Chaotic behavior in a simple dc drive. In Proceedings of Second International Conference on Power Electronics and Drive Systems, volume 1, pp. 473–479, IEEE.
- Chen, J., K. Chau, C. Chan, and Q. Jiang, 2002 Subharmonics and chaos in switched reluctance motor drives. IEEE Transactions on Energy Conversion 17: 73–78.
- Cheng, W., Y. Tong, and C. Li, 2011 Chaos control of permanent magnet synchronous motor via sliding mode variable structure scheme. In 2011 3rd International Workshop on Intelligent Systems and Applications, pp. 1–4, IEEE.
- Cheukem, A., A. S. K. Tsafack, S. T. Kingni, C. C. André, and J. R. M. Pone, 2020 Permanent magnet synchronous motor: chaos control using single controller, synchronization and circuit implementation. SN Applied Sciences 2: 1–11.
- Dai, D., X. Ma, B. Zhang, and K. T. Chi, 2009 Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled dc drive systems. Chaos, Solitons & Fractals 41: 1027–1033.
- Gao, Y. and K. Chau, 2004 Hopf bifurcation and chaos in synchronous reluctance motor drives. IEEE Transactions on Energy Conversion 19: 296–302.
- Ge, X. and J. Huang, 2005 Chaos control of permanent magnet synchronous motor. In 2005 International Conference on Electrical Machines and Systems, volume 1, pp. 484–488, IEEE.
- He, R. and Q. Han, 2017 Dynamics and stability of permanentmagnet synchronous motor. Mathematical Problems in Engineering 2017.
- Hemati, N., 1994 Strange attractors in brushless dc motors. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 41: 40–45.
- Kemnang Tsafack, A. S., J. R. Mboupda Pone, A. Cheukem, R. Kengne, and G. Kenne, 2020 Coexisting attractors and bursting oscillations in ifoc of 3-phase induction motor. The European Physical Journal Special Topics 229: 989–1006.
- Kholerdi, H. et al., 2016 Chaotification and fuzzy pi control of three-phase induction machine using synchronization approach. Chaos, Solitons & Fractals 91: 443–451.
- Kuroe, Y. and S. Hayashi, 1989 Analysis of bifurcation in power electronic induction motor drive systems. In 20th Annual IEEE Power Electronics Specialists Conference, pp. 923–930, IEEE.
- Li, Z., J. B. Park, Y. H. Joo, B. Zhang, and G. Chen, 2002 Bifurcations and chaos in a permanent-magnet synchronous motor. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49: 383–387.
- Nagy, I., 1994 Tolerance band based current control of induction machines highlighted with the theory of chaos. In 3rd International Power Electronic Congress. Technical Proceedings. CIEP’94, pp. 155–160, IEEE.
- Pyragas, K., 1992 Continuous control of chaos by self-controlling feedback. Physics letters A 170: 421–428.
- Pyragas, K., 2001 Control of chaos via an unstable delayed feedback controller. Physical Review Letters 86: 2265.
- Rajagopal, K., A. Karthikeyan, and P. Duraisamy, 2016 Chaos suppression in fractional order permanent magnet synchronous motor and pi controlled induction motor by extended back stepping control. Nonlinear Engineering 5: 287–292.
- Ren, H. and D. Liu, 2006 Nonlinear feedback control of chaos in permanent magnet synchronous motor. IEEE Transactions on Circuits and Systems II: Express Briefs 53: 45 50.
- Su, K. and C. Li, 2015 Synchronization criterion of chaotic permanent magnet synchronous motor via output feedback and its simulation. Rom. J. Phys. .
- Suto, Z., I. Nagy, and E. Masada, 2000 Period adding route to chaos in a hysteresis current controlled ac drive. In 6th International Workshop on Advanced Motion Control. Proceedings (Cat. No.00TH8494), pp. 299–304, IEEE.
- Zhang, Z., K. Chau, and Z. Wang, 2012 Analysis and stabilization of chaos in the electric-vehicle steering system. IEEE transactions on vehicular technology 62: 118–126.
Chaos control using self-feedback delay controller and electronic implementation in IFOC of 3-phase induction motor
Year 2020,
Volume: 2 Issue: 1, 40 - 48, 30.06.2020
Alex Stéphane Kemnang Tsafack
,
Romanic Kengne
André Cheukem
Justin Roger Mboupda Pone
Godpromesse Kenne
Abstract
The dynamical behaviors and chaos control in Indirect Field Oriented Control (IFOC) of 3-phase induction motor is investigated in the present paper. The IFOC of 3-phase induction motor exhibits steady state behavior, Hopf bifurcation and chaotic behavior through period-doubling. The chaotic behavior is strewed with periodic oscillation. To eliminate the chaotic oscillations in IFOC of 3-phase induction motor, two self-feedback delay controllers are designed: The first is the simple controller and the second controller is with sliding mode method. Numerical simulations are used to show the efficiency of the both controllers. Among the both controllers, the simple self-feedback delay controller gives the better results by comparison to sliding mode self-feedback delay controller. Finally, the physical feasibility of simple self-feedback delay controller applied to IFOC of 3-phase induction motor is validated through electronic circuit’s implementation on OrCAD-PSpice software. The OrCAD-Pspice results are in agreement with the numerical results.
References
- Asakura, T., K. Yoneda, Y. Saito, and M. Shioya, 2000 Chaos detection in velocity control of induction motor and its control by using neural network. In WCC 2000-ICSP 2000. 2000 5th International Conference on Signal Processing Proceedings. 16th World Computer Congress 2000, volume 3, pp. 1633–1638, IEEE.
- Chau, K., J. Chen, C. Chan, J. K. Pong, and D. Chan, 1997 Chaotic behavior in a simple dc drive. In Proceedings of Second International Conference on Power Electronics and Drive Systems, volume 1, pp. 473–479, IEEE.
- Chen, J., K. Chau, C. Chan, and Q. Jiang, 2002 Subharmonics and chaos in switched reluctance motor drives. IEEE Transactions on Energy Conversion 17: 73–78.
- Cheng, W., Y. Tong, and C. Li, 2011 Chaos control of permanent magnet synchronous motor via sliding mode variable structure scheme. In 2011 3rd International Workshop on Intelligent Systems and Applications, pp. 1–4, IEEE.
- Cheukem, A., A. S. K. Tsafack, S. T. Kingni, C. C. André, and J. R. M. Pone, 2020 Permanent magnet synchronous motor: chaos control using single controller, synchronization and circuit implementation. SN Applied Sciences 2: 1–11.
- Dai, D., X. Ma, B. Zhang, and K. T. Chi, 2009 Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled dc drive systems. Chaos, Solitons & Fractals 41: 1027–1033.
- Gao, Y. and K. Chau, 2004 Hopf bifurcation and chaos in synchronous reluctance motor drives. IEEE Transactions on Energy Conversion 19: 296–302.
- Ge, X. and J. Huang, 2005 Chaos control of permanent magnet synchronous motor. In 2005 International Conference on Electrical Machines and Systems, volume 1, pp. 484–488, IEEE.
- He, R. and Q. Han, 2017 Dynamics and stability of permanentmagnet synchronous motor. Mathematical Problems in Engineering 2017.
- Hemati, N., 1994 Strange attractors in brushless dc motors. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 41: 40–45.
- Kemnang Tsafack, A. S., J. R. Mboupda Pone, A. Cheukem, R. Kengne, and G. Kenne, 2020 Coexisting attractors and bursting oscillations in ifoc of 3-phase induction motor. The European Physical Journal Special Topics 229: 989–1006.
- Kholerdi, H. et al., 2016 Chaotification and fuzzy pi control of three-phase induction machine using synchronization approach. Chaos, Solitons & Fractals 91: 443–451.
- Kuroe, Y. and S. Hayashi, 1989 Analysis of bifurcation in power electronic induction motor drive systems. In 20th Annual IEEE Power Electronics Specialists Conference, pp. 923–930, IEEE.
- Li, Z., J. B. Park, Y. H. Joo, B. Zhang, and G. Chen, 2002 Bifurcations and chaos in a permanent-magnet synchronous motor. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49: 383–387.
- Nagy, I., 1994 Tolerance band based current control of induction machines highlighted with the theory of chaos. In 3rd International Power Electronic Congress. Technical Proceedings. CIEP’94, pp. 155–160, IEEE.
- Pyragas, K., 1992 Continuous control of chaos by self-controlling feedback. Physics letters A 170: 421–428.
- Pyragas, K., 2001 Control of chaos via an unstable delayed feedback controller. Physical Review Letters 86: 2265.
- Rajagopal, K., A. Karthikeyan, and P. Duraisamy, 2016 Chaos suppression in fractional order permanent magnet synchronous motor and pi controlled induction motor by extended back stepping control. Nonlinear Engineering 5: 287–292.
- Ren, H. and D. Liu, 2006 Nonlinear feedback control of chaos in permanent magnet synchronous motor. IEEE Transactions on Circuits and Systems II: Express Briefs 53: 45 50.
- Su, K. and C. Li, 2015 Synchronization criterion of chaotic permanent magnet synchronous motor via output feedback and its simulation. Rom. J. Phys. .
- Suto, Z., I. Nagy, and E. Masada, 2000 Period adding route to chaos in a hysteresis current controlled ac drive. In 6th International Workshop on Advanced Motion Control. Proceedings (Cat. No.00TH8494), pp. 299–304, IEEE.
- Zhang, Z., K. Chau, and Z. Wang, 2012 Analysis and stabilization of chaos in the electric-vehicle steering system. IEEE transactions on vehicular technology 62: 118–126.