Coexisting attractors and bursting oscillations in IFOC of 3-phase induction motor

The dynamics of indirect field oriented control (IFOC) of 3-phase induction motor is studied in this paper. The dynamical behaviors of the studied system are performed using bifurcation diagrams, maximum Lyapunov exponent plots, phase portraits, and isospike diagram. The numerical simulation results reveal that the IFOC of 3-phase induction motor displays coexistence of attractors for the same set of IFOC of 3-phase induction motor parameters, periodic and chaotic bursting oscillations. Basins of attraction of different competing attractors are plotted showing complex basin boundaries. The numerical simulation finding are validated by the OrCAD-Spice results.

[1]  Hilaire Bertrand Fotsin,et al.  Coexistence of Multiple Attractors, Metastable Chaos and Bursting Oscillations in a Multiscroll Memristive Chaotic Circuit , 2017, Int. J. Bifurc. Chaos.

[2]  Matjaž Perc,et al.  Different types of bursting calcium oscillations in non-excitable cells , 2003 .

[3]  Teresa Ree Chay,et al.  BURSTING, SPIKING, CHAOS, FRACTALS, AND UNIVERSALITY IN BIOLOGICAL RHYTHMS , 1995 .

[4]  Qiang Lai,et al.  Constructing Chaotic System With Multiple Coexisting Attractors , 2019, IEEE Access.

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

[6]  G. Litak,et al.  Fractional-order two-component oscillator: stability and network synchronization using a reduced number of control signals , 2018, The European Physical Journal B.

[7]  Gerda de Vries,et al.  Bursting as an emergent phenomenon in coupled chaotic maps. , 2001 .

[8]  Foss,et al.  Multistability and delayed recurrent loops. , 1996, Physical review letters.

[9]  Xue-Rong Shi,et al.  Chaotic bursting lag synchronization of Hindmarsh-Rose system via a single controller , 2009, Appl. Math. Comput..

[10]  毕勤胜,et al.  Symmetric bursting behaviour in non-smooth Chua's circuit , 2010 .

[11]  Jean-Claude Vannier,et al.  An Online Simplified Rotor Resistance Estimator for Induction Motors , 2010, IEEE Transactions on Control Systems Technology.

[12]  A. Fomethe,et al.  A novel hyperchaotic three-component oscillator operating at high frequency , 2019, Chaos, Solitons & Fractals.

[13]  Qiang Lai,et al.  Dynamic analysis, circuit realization, control design and image encryption application of an extended Lü system with coexisting attractors , 2018, Chaos, Solitons & Fractals.

[14]  Qinsheng Bi.  The mechanism of bursting phenomena in Belousov-Zhabotinsky (BZ) chemical reaction with multiple time scales , 2010 .

[15]  S. K. Dana,et al.  Bursting Near homoclinic bifurcation in Two Coupled Chua oscillators , 2007, Int. J. Bifurc. Chaos.

[16]  Javier Aracil,et al.  Hopf bifurcation in indirect field-oriented control of induction motors , 2002, Autom..

[17]  Zhengdi Zhang,et al.  Non-smooth bifurcations on the bursting oscillations in a dynamic system with two timescales , 2015 .

[18]  Qiang Lai,et al.  A New Chaotic System with Multiple Attractors: Dynamic Analysis, Circuit Realization and S-Box Design , 2017, Entropy.

[19]  J. Maurer,et al.  Effect of the Prandtl number on the onset of turbulence in liquid 4He , 1980 .

[20]  Anaclet Fomethe,et al.  A novel memristive 6D hyperchaotic autonomous system with hidden extreme multistability , 2019, Chaos, Solitons & Fractals.

[21]  Y. L. Makenne,et al.  Coexistence of multiple attractors in the tree dynamics , 2019, Chaos, Solitons & Fractals.

[22]  Fernando Corinto,et al.  Memristor based-elements for chaotic circuits , 2012 .

[23]  R. Reginatto,et al.  Robustness margins for indirect field-oriented control of induction motors , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[24]  URMILA KAR,et al.  State variable participation in the limit cycle of induction motor , 2015 .

[25]  Qiang Lai,et al.  An Extremely Simple Chaotic System With Infinitely Many Coexisting Attractors , 2020, IEEE Transactions on Circuits and Systems II: Express Briefs.

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

[27]  Brice Anicet Mezatio,et al.  Complex dynamics from a novel memristive 6D hyperchaotic autonomous system , 2020, International Journal of Dynamics and Control.

[28]  Zhengdi Zhang,et al.  Bifurcation mechanism of the bursting oscillations in periodically excited dynamical system with two time scales , 2015 .