Chaos control using self-feedback delay controller and electronic implementation in IFOC of 3-phase induction motor

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.

[1]  K. Chau,et al.  Hopf bifurcation and chaos in synchronous reluctance motor drives , 2004, IEEE Transactions on Energy Conversion.

[2]  André Cheukem,et al.  Permanent magnet synchronous motor: chaos control using single controller, synchronization and circuit implementation , 2020 .

[3]  N. Hemati.  Strange attractors in brushless DC motors , 1994 .

[4]  Yasuaki Kuroe,et al.  Analysis of bifurcation in power electronic induction motor drive systems , 1989, 20th Annual IEEE Power Electronics Specialists Conference.

[5]  Z. Suto,et al.  Period adding route to chaos in a hysteresis current controlled AC drive , 2000, 6th International Workshop on Advanced Motion Control. Proceedings (Cat. No.00TH8494).

[6]  Romanic Kengne,et al.  Coexisting attractors and bursting oscillations in IFOC of 3-phase induction motor , 2020 .

[7]  Ding Liu,et al.  Nonlinear feedback control of chaos in permanent magnet synchronous motor , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[8]  Chi K. Tse,et al.  Hopf bifurcation and chaos from torus breakdown in voltage-mode controlled DC drive systems , 2009 .

[9]  Kestutis Pyragas.  Continuous control of chaos by self-controlling feedback , 1992 .

[10]  Wangbin Cheng,et al.  Chaos Control of Permanent Magnet Synchronous Motor via Sliding Mode Variable Structure Scheme , 2011, 2011 3rd International Workshop on Intelligent Systems and Applications.

[11]  H. A. Kholerdi,et al.  Chaotification and fuzzy PI control of three-phase induction machine using synchronization approach , 2016 .

[12]  K. T. Chau,et al.  Subharmonics and Chaos in Switched Reluctance Motor Drives , 2002, IEEE Power Engineering Review.

[13]  Kestutis Pyragas.  Control of chaos via an unstable delayed feedback controller. , 2001, Physical review letters.

[14]  Zheng Wang,et al.  Analysis and Stabilization of Chaos in the Electric-Vehicle Steering System , 2013, IEEE Transactions on Vehicular Technology.

[15]  Karthikeyan Rajagopal,et al.  Chaos Suppression in Fractional Order Permanent Magnet Synchronous Motor and PI controlled Induction motor by Extended Back stepping Control , 2016 .

[16]  Jin Huang,et al.  Chaos control of permanent magnet synchronous motor , 2005, 2005 International Conference on Electrical Machines and Systems.

[17]  I. Nagy.  Tolerance band based current control of induction machines highlighted with the theory of chaos , 1994, 3rd International Power Electronic Congress. Technical Proceedings. CIEP '94.