Nonlinear Dynamics Induced by Coil Heat in the PMDC Motor and Control
Year 2024,
Volume: 6 Issue: 4, 228 - 236, 30.11.2024
Arnaud Ngonting Topy
,
Justin Roger Mboupda Pone
,
Alex Stéphane Kemnang Tsafack
,
André Cheukem
Abstract
In this paper, the interesting dynamics of chaos induced by the effect of the variation of internal average heat during operation in the DC motor control by the full bridge drive are analyzed. By using simple powerful tools of analyzing nonlinear dynamical systems like phase portraits, time traces and frequency spectrum in the MATLAB-SIMULINK environment, we showed that under certain conditions, the PMDC motor develops different behaviors so as periodic limited, and chaotic attractors, when the motor drive different form of external load torque and the windings resistance variation. This paper presents the first studies on the variation of the average heat of the motor and the amplitude of the triangular load torque to produce the strange phenomena like chaos as far as our knowledge go. A chaos control of the unstable regime is proposed to stabilize the PM DC motor in a desire regime. This contribution is very important in industry because some unexplained dynamical behaviors of the DC motor driven by a full bridge now can be avoided.
Ethical Statement
The authors declare that they have no conflict interest regarding the publication of this paper
Supporting Institution
none
Thanks
The authors would like to thank Prof Sifeu Takougang for carefully reading the manuscript
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with full-bridge converter. In Proceedings of 2010 IEEE International
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Physics Reports 540: 167–218.
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in permanent magnet dc motor driver. International Journal of
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strategy of induction motors. Acta Electrotechnica et Informatica
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G. Kenne, 2020 Chaos control using self-feedback delay controller
and electronic implementation in ifoc of 3-phase induction
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Year 2024,
Volume: 6 Issue: 4, 228 - 236, 30.11.2024
Arnaud Ngonting Topy
,
Justin Roger Mboupda Pone
,
Alex Stéphane Kemnang Tsafack
,
André Cheukem
References
- Abdullah, M. A., F. R. Tahir, and K. M. Abdul-Hassan, 2016 Sliding
mode control-based chaos stabilization in pm dc motor drive.
Iraqi Journal for Electrical & Electronic Engineering 12.
- Arat, H. T., 2018 Numerical comparison of different electric motors
(im and pm) effects on a hybrid electric vehicle. Avrupa Bilim
ve Teknoloji Dergisi pp. 378–387.
- Ayan, S. ¸S. and A. Kurt, 2018 Computational bifurcation analysis
to find dynamic transitions of the corticotroph model. Communications
Faculty of Sciences University of Ankara Series A2-A3
Physical Sciences and Engineering 60: 41–64.
- Bonnett, A. H., 2001 Operating temperature considerations and
performance characteristics for ieee 841 motors. IEEE Transactions
on Industry Applications 37: 1120–1131.
- Chau, K. and Z. Wang, 2011 Introduction to chaos theory and
electric drive systems .
- Chergui, H. et al., 2020 Commande Directe Du Couple d’un Moteur
Asynchrone avec la Reconstitution de l’Algorithme Des Commutations
par la Logique Floue. Ph.D. thesis.
- Dalcalı, A., 2018 Optimal design of high performance interior pm
motor for electric vehicle. The International Journal of Energy
and Engineering Sciences 3: 46–54.
- Fussell, B., 1993 Thermal effects on the torque-speed performance
of a brushless dc motor. In Proceedings of Electrical/Electronics
Insulation Conference, pp. 403–411, IEEE.
- Gieras, J. F., 2009 Permanent magnet motor technology: design and
applications. CRC press.
- Junak, J., G. Ombach, and D. Staton, 2008 Permanent magnet dc
motor brush transient thermal analysis. In Proceedings of the 2008
International Conference on Electrical Machines, pp. 978–1.
- Klein, F. N. and M. E. Kenyon, 1984 Permanent magnet dc motors
design criteria and operation advantages. IEEE transactions on
industry applications pp. 1525–1531.
- Liao, Y., F. Liang, and T. A. Lipo, 1995 A novel permanent magnet
motor with doubly salient structure. IEEE transactions on
industry applications 31: 1069–1078.
- Malvino, A., 1993 Electronic principles.
- Minghui, Z. and L. Weiguo, 2010 Transient coupled electromagnetic
thermal analysis of a permanent magnet brushless
dc motor. In 2010 International Conference on Computer, Mechatronics,
Control and Electronic Engineering, volume 4, pp. 221–224,
IEEE.
- Moustafa, E., A.-A. Sobaih, B. Abozalam, and A. S. A. Mahmoud,
2021 Period-doubling bifurcation analysis and chaos control for
load torque using flc. Complex & Intelligent Systems 7: 1381–
1389.
- Okafor, N., 2013 Analysis and control of nonlinear phenomena in electrical
drives. Ph.D. thesis, Newcastle University.
- Okafor, N., D. Giaouris, and B. Zahawi, 2015 Analysis and control
of fast scale bifurcation in series connected dc drive operating
in continuous conduction mode. In IECON 2015-41st Annual
Conference of the IEEE Industrial Electronics Society, pp. 000667–
000671, IEEE.
- Okafor, N., D. Giaouris, B. Zahawi, and S. Banerjee, 2010a Analysis
of fast-scale instability in dc drives with full-bridge converter
using filippov’s method .
- Okafor, N., B. Zahawi, D. Giaouris, and S. Banerjee, 2010b Chaos,
coexisting attractors, and fractal basin boundaries in dc drives
with full-bridge converter. In Proceedings of 2010 IEEE International
Symposium on Circuits and Systems, pp. 129–132, IEEE.
- Öztürk, H., 2020 A novel chaos application to observe performance
of asynchronous machine under chaotic load. Chaos Theory and
Applications 2: 90–97.
- Parsa, L. and H. A. Toliyat, 2005 Five-phase permanent-magnet
motor drives. IEEE Transactions on Industry applications 41:
30–37.
- Pillay, P. and R. Krishnan, 1989 Modeling, simulation, and analysis
of permanent-magnet motor drives. i. the permanent-magnet
synchronous motor drive. IEEE Transactions on industry applications
25: 265–273.
- Pisarchik, A. N. and U. Feudel, 2014 Control of multistability.
Physics Reports 540: 167–218.
- Poliashenko, M. and C. K. Aidun, 1995 A direct method for computation of simple bifurcations. Journal of Computational Physics
121: 246–260.
- Sprott, J. C., 2011 A proposed standard for the publication of new
chaotic systems. International Journal of Bifurcation and Chaos
21: 2391–2394.
- Tahir, F. R., K. M. Abdul-Hassan, M. A. Abdullah, V.-T. Pham,
T. M. Hoang, et al., 2017 Analysis and stabilization of chaos
in permanent magnet dc motor driver. International Journal of
Bifurcation and Chaos 27: 1750173.
- Toufouti, R., S. Meziane, and H. Benalla, 2007 Direct torque control
strategy of induction motors. Acta Electrotechnica et Informatica
1: 1–7.
- Tsafack, A. S. K., R. Kengne, A. Cheukem, J. R. M. Pone, and
G. Kenne, 2020 Chaos control using self-feedback delay controller
and electronic implementation in ifoc of 3-phase induction
motor. Chaos Theory and Applications 2: 40–48.
- Yu, J., T. Zhang, and J. Qian, 2011 Electrical motor products: international
energy-efficiency standards and testing methods. Elsevier.