A Novel Chaos Application to Observe Performance of Asynchronous Machine Under Chaotic Load

Year 2020, Volume: 2 Issue: 2, 90 - 97, 30.11.2020

Hakan Öztürk

Abstract

In this study, a novel 4D chaos model is introduced to improve an existing chaotic system. Equations of the chaos model have been written. The dynamical analyses of the system have been executed by means of phase portraits, equilibrium points, eigenvalues, compound structure, and initial conditions. MATLAB/Simulink model has been designed to analyze load which is driven by an induction machine against chaos. Finally, the states of induction machine that is with and without chaotic load is compared.

Keywords

Chaos theory, Dynamical Analysis, Sensitivity, Asynchronous Machine, Load Performance

References

• Cernys, P., V. Kubilius, V. Macerauskas, and K. Ratkevicius, 2003 Intelligent control of the lift model. In Second IEEE International Workshop on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, 2003. Proceedings, pp. 428–431, IEEE.
• Che, Y.-Q., J. Wang, W.-J. Si, and X.-Y. Fei, 2009 Phaselocking and chaos in a silent hodgkin–huxley neuron exposed to sinusoidal electric field. Chaos, Solitons & Fractals 39: 454–462.
• Chiang, H.-D., T. P. Conneen, and A. J. Flueck, 1994 Bifurcations and chaos in electric power systems: Numerical studies. Journal of the Franklin Institute 331: 1001–1036.
• Cuomo, K. M. and A. V. Oppenheim, 1993 Circuit implementation of synchronized chaos with applications to communications. Physical review letters 71: 65.
• Dadras, S. and H. R. Momeni, 2009 A novel threedimensional autonomous chaotic system generating two, three and four-scroll attractors. Physics Letters A 373: 3637–3642.
• Gao, Y., 2003 Chaotification of induction motor drives under periodic speed command. Electric power components and systems 31: 1083–1099.
• Ge, Z.-M. and H.-W.Wu, 2004 Chaos synchronization and chaos anticontrol of a suspended track with moving loads. Journal of sound and vibration 270: 685–712.
• Kay, J. A., R. H. Paes, J. G. Seggewiss, and R. G. Ellis, 2000 Methods for the control of large medium-voltage motors: application considerations and guidelines. IEEE Transactions on Industry Applications 36: 1688–1696.
• Kennedy, M. P., 1993 Three steps to chaos. ii. a chua’s circuit primer. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 40: 657–674. Knobloch, E., 1981 Chaos in the segmented disc dynamo. Physics Letters A 82: 439–440.
• Kovalchuk, M. and S. Baburin, 2018 Modelling and control system of multi motor conveyor. In IOP Conference Series: Materials Science and Engineering, volume 327.
• Li, C., L. Wu, H. Li, and Y. Tong, 2013 A novel chaotic system and its topological horseshoe. Nonlinear Analysis: Modelling and Control 18: 66–77.
• Liu, C., 2009 A novel chaotic attractor. Chaos, Solitons & Fractals 39: 1037–1045.
• Lorenz, E. N., 1963 Deterministic nonperiodic flow. Journal of the atmospheric sciences 20: 130–141.
• Lü, J., G. Chen, and D. Cheng, 2004 A new chaotic system and beyond: the generalized lorenz-like system. International Journal of Bifurcation and Chaos 14: 1507–1537.
• Lü, J., T. Zhou, G. Chen, and S. Zhang, 2002 The compound structure of chen’s attractor. International Journal of Bifurcation and Chaos 12: 855–858.
• Messadi, M. and A. Mellit, 2017 Control of chaos in an induction motor system with lmi predictive control and experimental circuit validation. Chaos, Solitons & Fractals 97: 51–58.
• O’Neill-Carrillo, E., G. Heydt, E. Kostelich, S. Venkata, and A. Sundaram, 1999 Nonlinear deterministic modeling of highly varying loads. IEEE Transactions on Power Delivery 14: 537–542.
• Ozer, A. B. and E. Akin, 2008 Chaos control in vectorcontrolled induction motor drive. Electric Power Components and Systems 36: 733–740.
• Poland, D., 1993 Cooperative catalysis and chemical chaos: a chemical model for the lorenz equations. Physica D: Nonlinear Phenomena 65: 86–99.
• Singh, S. and B. Sharma, 2012 Sliding mode control-based stabilisation and secure communication scheme for hyperchaotic systems. International Journal of Automation and Control 6: 1–20.
• Sundarapandian, V. and I. Pehlivan, 2012 Analysis, control, synchronization, and circuit design of a novel chaotic system. Mathematical and Computer Modelling 55: 1904– 1915.
• Vaidyanathan, S., 2014 Analysis, control and synchronisation of a six-term novel chaotic system with three quadratic nonlinearities. International Journal of Modelling, Identification and Control 22: 41–53.
• Vaidyanathan, S., 2015 A 3-d novel highly chaotic system with four quadratic nonlinearities, its adaptive control and anti-synchronization with unknown parameters. Journal of Engineering Science & Technology Review 8.
• Wang, J., T. Zhang, and Y. Che, 2007 Chaos control and synchronization of two neurons exposed to elf external electric field. Chaos, Solitons & Fractals 34: 839–850.
• Wang, M., X.Wang, Y. Zhang, S. Zhou, T. Zhao, et al., 2019 A novel chaotic system and its application in a color image cryptosystem. Optics and Lasers in Engineering 121: 479– 494.
• Wang, Z., A. Akgul, V.-T. Pham, and S. Jafari, 2017a Chaosbased application of a novel no-equilibrium chaotic system with coexisting attractors. Nonlinear Dynamics 89: 1877–1887.
• Wang, Z., C. Volos, S. T. Kingni, A. T. Azar, and V.-T. Pham, 2017b Four-wing attractors in a novel chaotic system with hyperbolic sine nonlinearity. Optik 131: 1071–1078.
• Yildirim, D. and M. Bilgic, 2008 Pwm ac chopper control of single-phase induction motor for variable-speed fan application. In 2008 34th Annual Conference of IEEE Industrial Electronics, pp. 1337–1342, IEEE.