Abstract
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.
Similar content being viewed by others
References
R. He, Q. Han, Hindawi Math. Prob. Eng. 8, 1 (2017)
R. Karthikeyan, A. Karthikeyan, D. Prakash, Nonlinear Eng. 5, 287 (2016)
N. Jabli, H. Khammari, M.F. Mimouni, R. Dhifaoui, Wseas Trans. Syst. 9, 784 (2010)
Y. Gao, K.T. Chau, IEEE Trans. Energy Convers. 19, 296 (2004)
F. Gordillo, F. Salas, R. Ortega, J. Aracil, Automatica 38, 829 (2002)
B. Zhang, Y. Lu, Z. Mao, J. Control Theory Appl. 4, 345 (2004)
C. Krishnendu, Urmila K., arXiv:1410.6574
N. Jabli, H. Khammari, M.F. Mimouni, S. Aljahdali, Int. Trans. Electr. Comput. Eng. Syst. 1, 6 (2013)
C. Krishnendu, K. Urmila, Pramana J. Phys. 84, 423 (2015)
S. Kalin, L. Chunlai, Rom. J. Phys. 60, 1409 (2015)
A. Ranjbar, H.A. Kholerdi, Chaos Solitons Fractals 91, 443 (2016)
Z. Zhang, K. Chau, Z. Wang, IEEE Trans. 48, 4487 (2012)
J. Maurer, A. Libchaber, J. Phys. Lett. 41, 515 (1980)
J.M.T. Thompson, H.B. Stewart, Nonlinear Dynamics and Chaos (Wiley, Chichester, 1986)
J. Foss, A. Longtin, B. Mensour, J. Milton, Phys. Rev. Lett. 76, 708 (1996)
S.T. Kingni, G. Fautso Kuiate, R. Kengne, R. Tchitnga, P. Woafo, Complexity 2017, 4107358 (2017)
R. Tchitnga, B.A. Mezatio, T. Fonzin Fozin, R. Kengne, P.H. Louodop Fotso, A. Fomethe, Chaos Solitons Fractals 118, 166 (2019)
N.H. Alombah, H. Fotsin, R. Kengne, Int. J. Bifurc. Chaos 21, 1750067 (2017)
Y. Ji, Q. Bi, Chin. Phys. B 19, 080510 (2010)
Z. Zhang, B. Liu, Q. Bi, Nonlinear Dyn. 79, 195 (2015)
Q. Lai, P.D.K. Kuate, F. Liu, H.H.-C. Iu, IEEE Trans. Circuits Syst. II: Express Briefs. https://doi.org/10.1109/tcsii.2019.2927371
Q. Lai, C. Chen, X.-W. Zhao, J. Kengne, C. Volos, IEEE Access 7, 24051 (2019)
Q. Lai, A. Akgul, C. Li, G. Xu, U. Çavusoğlu, Entropy 20, 12 (2017)
Q. Lai, B. Norouzi, F. Liu, Chaos Solitons Fractals 114, 230 (2018)
B.A. Mezatio, M.T. Motchongom, B.R.W. Tekam, R. Kengne, R. Tchitnga, A. Fomethe, Chaos Solitons Fractals 120, 100 (2019)
B.A. Mezatio, M.M. Tingue, R. Kengne, A.T. Kouanou, T.F. Fonzin, R. Tchitnga, Int. J. Dyn. Control 8, 70 (2019)
Q. Bi, R. Ma, Z. Zhang, Nonlinear Dyn. 79, 101 (2015)
F. Corinto, A. Ascoli, IEICE Nonlinear Theory App. 3, 336 (2012)
G. Vries, Phys. Rev. E 64, 051914 (2001)
S. Dana, G. Sethia, A. Sen, Int. J. Bifurc. Chaos 17, 3437 (2007)
Z. Wang, X. Shi, Appl. Math. Comput. 215, 1091 (2009)
M. Perc, M. Marhl, Chaos Solitons Fractals 18, 759 (2003)
T. Ree, S. Yin, Int. J. Bifurc. Chaos 5, 595 (1995)
Q.S. Bi, Sci. Chin. Tech. Sci. 53, 748 (2010)
R. Kengne, R. Tchitnga, S.T.A. Kammogne, G. Litak, A. Fomethe, C.L. Li, Eur. Phys. J. B 91, 304 (2018)
Y.L. Makenne, R. Kengne, F.B. Pelap, Chaos Solitons Fractals 127, 70 (2019)
F. Salas, R. Reginatto, F. Gordillo, J. Aracil, B.) Takens, in 43rd IEEE Conf. Decision Control, Bahamas (2004)
G. Kenne, R.S. Simo, F. Lamnabhi-Lagarrigue, A. Arzandé, J.C. Vannier, IEEE Trans. Control Syst. Technol. 18, 1000 (2010)
A. Bazanella, R. Reginatto, Robustness margins for indirect field-oriented control of induction motors, in 37th CDC (1998), pp. 1000.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Kemnang Tsafack, A.S., Mboupda Pone, J.R., Cheukem, A. et al. Coexisting attractors and bursting oscillations in IFOC of 3-phase induction motor. Eur. Phys. J. Spec. Top. 229, 989–1006 (2020). https://doi.org/10.1140/epjst/e2020-900256-6
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2020-900256-6