Analysis and Control of Chaos in Permanent Magnet Synchronous Motor
Year 2023,
Volume: 27 Issue: 6, 1217 - 1225, 18.12.2023
Abdallah Moussa Yaya
,
Yılmaz Uyaroğlu
Abstract
This paper explores the chaotic dynamics exhibited by a Permanent Magnet Synchronous Motors (PMSM) through an analysis of Lyapunov exponents and equilibrium points. Subsequently, the study focuses on controlling the motor's chaotic behavior under specific parameter conditions using a straightforward controller. The approach employed in this paper involves utilizing a single-state feedback controller as the resolution method. The derived control law enables the stabilization of the motor's state around a reference state, even in the presence of parameter uncertainties, thereby preventing chaotic behavior. To illustrate the proposed method, numerical simulations were conducted in MATLAB, showcasing the practical application of this approach. The simulation results demonstrate the success of the controller used.
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Year 2023,
Volume: 27 Issue: 6, 1217 - 1225, 18.12.2023
Abdallah Moussa Yaya
,
Yılmaz Uyaroğlu
References
- [1] R. Krishnan, “Application Characteristics of Permanent Magnet Synchronous and Brushless dc Motors for Servo Drives,” IEEE Transactions on Industry Applications, vol. 27, no. 5, pp. 986–996, 1991.
- [2] D. P. Iracleous, N. Mastorakis, and T. H. Piraeus, “Application of passivity control theory to chaotic systems,” 2004.
- [3] M. Babaei, J. Nazarzadeh, and J. Faiz, “Nonlinear feedback control of chaos in synchronous reluctance motor drive systems,” 2008 IEEE International Conference on Industrial Technology, 2008.
- [4] J. Hu, L. Liu, and D. Wei Ma, “Robust nonlinear feedback control of a chaotic permanent-magnet synchronous motor with a load torque disturbance,” Journal of the Korean Physical Society, vol. 65, no. 12, pp. 2132–2139, 2014.
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- [8] J. Yu, J. Gao, Y. Ma, H. Yu, and S. Pan, “Robust adaptive fuzzy control of chaos in the permanent magnet synchronous motor,” Discrete Dynamics in Nature and Society, vol. 2010, 2010.
- [9] H. H. Choi, “Adaptive control of a chaotic permanent magnet synchronous motor,” Nonlinear Dyn, vol. 69, no. 3, pp. 1311–1322, Aug. 2012.
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- [19] B. Buonomo, O. Manca, S. Nardini, and P. Romano, “Thermal and fluid dynamic analysis of solar chimney building systems,” International Journal of Heat and Technology, vol. 31, no. 2, pp. 119–126, 2013.
- [20] L. Marietta and G. Evola, “Thermodynamic analysis of a hybrid photovoltaic/thermal solar collector,” International Journal of Heat and Technology, vol. 31, no. 2, pp. 135– 142, 2013.
- [21] M.G. Reddy, “Influence of thermal Radiation on Natural Convection Boundary Layer Flow of a Nanofluid Past a Vertical Plate with Uniform Heat Flux | IIETA,” International Journal of Heat and Technology, 2013. https://www.iieta.org/journals/ijht/pap er/10.18280/ijht.320101 (accessed Apr. 02, 2023).
- [22] K. Rajagopal, A. Karthikeyan, and P. Duraisamy, “Chaos Suppression in Fractional order Permanent Magnet Synchronous Generator in Wind Turbine Systems,” Nonlinear Engineering, vol. 6, no. 2, pp. 79–87, Jun. 2017.
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