Chaos Control of Doubly-Fed Induction Generator via Delayed Feedback Control

Authors

  • Co Nhu Van Department of Cybernetics, University of Transport and Communications, Vietnam | Institute for Control Engineering and Automation, Hanoi University of Science and Technology, Vietnam
  • Nguyen Thanh Hai Department of Electronic Engineering, University of Transport and Communications, Vietnam
  • Nguyen Phung Quang Institute for Control Engineering and Automation, Hanoi University of Science and Technology, Vietnam
Volume: 13 | Issue: 2 | Pages: 10588-10594 | April 2023 | https://doi.org/10.48084/etasr.5812

Abstract

With the increasing wind power penetration, wind farms are directly influencing the power systems, so the need to improve the quality of the system is an open research topic. A Doubly-Fed Induction Generator (DFIG) is often used in wind power systems. However, DFIG has a complex structure and often works in harsh environments, so potential faults may occur. Faults can cause the system to fall into a chaotic working state, which is a harmful phenomenon for DFIG, since it makes the operating quality of the system worse, even leading to system destruction if not fixed on time. This study presents simulations of the chaotic phenomenon that occurs for a DFIG under specific working conditions based on Lyapunov’s exponents. The delay feedback controller is designed, and along with the selection of the appropriate controller parameters, the chaotic phenomenon is quickly eliminated, bringing the system back to stable operation.

Keywords:

chaos, chaos control, DFIG, DFC, Lyapunov’s exponents

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References

K. T. Chau and Z. Wang, Chaos in Electric Drive Systems: Analysis, Control and Application. New York, NY, USA: Wiley, 2011. DOI: https://doi.org/10.1002/9780470826355

N. V. Dao, T. K. Chi, and N. Dung, Introduction to nonlinear dynamics and chaotic motion. Hanoi, Vietnam: Vietnam National University Press, 2005.

M. Sajid, F. A. Almufadi, and M. Jahanzaib, "Chaotic Behavior in a Flexible Assembly Line of a Manufacturing System," Engineering, Technology & Applied Science Research, vol. 5, no. 6, pp. 891–894, Dec. 2015. DOI: https://doi.org/10.48084/etasr.611

S. Karimi, A. Gaillard, P. Poure, and S. Saadate, "Current Sensor Fault-Tolerant Control for WECS With DFIG," IEEE Transactions on Industrial Electronics, vol. 56, no. 11, pp. 4660–4670, Aug. 2009. DOI: https://doi.org/10.1109/TIE.2009.2031193

F. Cheng, Y. Peng, L. Qu, and W. Qiao, "Current-Based Fault Detection and Identification for Wind Turbine Drivetrain Gearboxes," IEEE Transactions on Industry Applications, vol. 53, no. 2, pp. 878–887, Mar. 2017. DOI: https://doi.org/10.1109/TIA.2016.2628362

W. Yu, D. Jiang, J. Wang, R. Li, and L. Yang, "Rotor-current-based fault detection for doubly-fed induction generator using new sliding mode observer," Transactions of the Institute of Measurement and Control, vol. 42, no. 16, pp. 3110–3122, Dec. 2020. DOI: https://doi.org/10.1177/0142331220941009

H. Ma, T. Chen, Y. Zhang, P. Ju, and Z. Chen, "Research on the fault diagnosis method for slip ring device in doubly-fed induction generators based on vibration," IET Renewable Power Generation, vol. 11, no. 2, pp. 289–295, 2017. DOI: https://doi.org/10.1049/iet-rpg.2016.0288

I. Idrissi, R. El Bachtiri, H. Chafouk, and M. Khanfara, "Fault Diagnosis of Stator Inter-Turn Short Circuit in Doubly Fed Induction Generator of Wind Turbine," in 6th International Conference on Control, Decision and Information Technologies, Paris, France, Apr. 2019, pp. 1313–1318. DOI: https://doi.org/10.1109/CoDIT.2019.8820697

K. Ma, J. Zhu, M. Soltani, A. Hajizadeh, and Z. Chen, "Inter-Turn Short-Circuit Fault Ride-Through for DFIG Wind Turbines," IFAC-PapersOnLine, vol. 53, no. 2, pp. 12757–12762, Jan. 2020. DOI: https://doi.org/10.1016/j.ifacol.2020.12.1916

H. Mellah, S. Arslan, H. Sahraoui, K. E. Hemsas, and S. Kamel, "The Effect of Stator Inter-Turn Short-Circuit Fault on DFIG Performance Using FEM," Engineering, Technology & Applied Science Research, vol. 12, no. 3, pp. 8688–8693, Jun. 2022. DOI: https://doi.org/10.48084/etasr.4923

N. P. Quang, A. Dittrich, and A. Thieme, "Doubly-fed induction machine as generator : Control algorithms with decoupling of torque and power factor," Electrical Engineering, vol. 80, no. 5, pp. 325–335, 1997. DOI: https://doi.org/10.1007/BF01370969

N. P. Quang, "Review paper: General overview of control problems in wind power plants," Journal of Computer Science and Cybernetics, vol. 30, no. 4, pp. 313–334, Dec. 2014. DOI: https://doi.org/10.15625/1813-9663/30/4/5762

O. P. Bharti, R. K. Saket, and S. K. Nagar, "Controller Design For DFIG Driven By Variable Speed Wind Turbine Using Static Output Feedback Technique," Engineering, Technology & Applied Science Research, vol. 6, no. 4, pp. 1056–1061, Aug. 2016. DOI: https://doi.org/10.48084/etasr.697

P. D. Chung, "Voltage Enhancement on DFIG Based Wind Farm Terminal During Grid Faults," Engineering, Technology & Applied Science Research, vol. 9, no. 5, pp. 4783–4788, Oct. 2019. DOI: https://doi.org/10.48084/etasr.3117

A. Dountio Tchioffo, E. D. Kenmoe Fankem, G. Golam, M. Kamta, and J. Y. Effa, "Control of a BDFIG Based on Current and Sliding Mode Predictive Approaches," Journal of Control, Automation and Electrical Systems, vol. 31, no. 3, pp. 636–647, Jun. 2020. DOI: https://doi.org/10.1007/s40313-020-00566-z

A. Guediri and S. Touil, "Modeling and Comparison of Fuzzy-PI and Genetic Control Algorithms for Active and Reactive Power Flow between the Stator (DFIG) and the Grid," Engineering, Technology & Applied Science Research, vol. 12, no. 3, pp. 8640–8645, Jun. 2022. DOI: https://doi.org/10.48084/etasr.4905

L. Yang, X. Ma, and D. Dai, "Hopf bifurcation in doubly fed induction generator under vector control," Chaos, Solitons & Fractals, vol. 41, no. 5, pp. 2741–2749, Sep. 2009. DOI: https://doi.org/10.1016/j.chaos.2008.10.006

H. Xue and Y. Wang, "Fuzzy optimal control of doubly fed induction wind power generator systems," in International Conference on Mechanic Automation and Control Engineering, Wuhan, China, Jun. 2010, pp. 3512–3515. DOI: https://doi.org/10.1109/MACE.2010.5536699

L. H. Yang, Z. Xu, J. Ostergaard, Z. Y. Dong, and X. K. Ma, "Hopf bifurcation and eigenvalue sensitivity analysis of doubly fed induction generator wind turbine system," in IEEE PES General Meeting, Minneapolis, MN, USA, Jul. 2010, pp. 1–6. DOI: https://doi.org/10.1109/PES.2010.5590020

Z. Li, S.-C. Wong, C. K. Tse, and G. Chu, "Bifurcation in wind energy generation systems," International Journal of Bifurcation and Chaos, vol. 20, no. 11, pp. 3795–3800, Nov. 2010. DOI: https://doi.org/10.1142/S0218127410028070

Y. Yang, M. Zeng-Qiang, and L. Xing-Jie, "Analysis of chaos in doubly fed induction generator and sliding mode control of chaos synchronization," Acta Physica Sinica, vol. 60, no. 7, 2011, Art. no. 070509. DOI: https://doi.org/10.7498/aps.60.070509

D. Jiang, W. Yu, J. Wang, G. Zhong, and Z. Zhou, "Dynamic Analysis of DFIG Fault Detection and Its Suppression Using Sliding Mode Control," IEEE Journal of Emerging and Selected Topics in Power Electronics, vol. 11, no. 1, pp. 643–656, Oct. 2023. DOI: https://doi.org/10.1109/JESTPE.2020.3035205

C. N. Van, N. T. Hai, and N. P. Quang, "Wind power plants using doubly fed induction generator and the risk of chaos," presented at the The 6th International Conference and Exhibition on Control and Automation, Vietnam, 2022.

N. P. Quang and J.-A. Dittrich, Vector Control of Three-Phase AC Machines-System Development in the Practice. New York, NY, USA: Springer, 2015. DOI: https://doi.org/10.1007/978-3-662-46915-6

D. Xu, F. Blaabjerg, W. Chen, and N. Zhu, Advanced Control of Doubly Fed Induction Generator for Wind Power Systems. New York, NY, USA: John Wiley & Sons, 2018. DOI: https://doi.org/10.1002/9781119172093

K. Pyragas, "Control of Chaos via an Unstable Delayed Feedback Controller," Physical Review Letters, vol. 86, no. 11, pp. 2265–2268, Mar. 2001. DOI: https://doi.org/10.1103/PhysRevLett.86.2265

Y. Gao and K. T. Chau, "Chaotification of permanent-magnet synchronous motor drives using time-delay feedback," in 28th Annual Conference of the Industrial Electronics Society, Seville, Spain, Nov. 2002, vol. 1, pp. 762–766.

S. Emiroglu and Y. Uyaroglu, "Time Delay Feedback Control based Chaos Stabilization in Current Mode Controlled DC Drive System," International Journal of Engineering and Applied Sciences, vol. 4, no. 10, Oct. 2017, Art. no. 257350.

J. Sun, "Delay-dependent stability criteria for time-delay chaotic systems via time-delay feedback control," Chaos, Solitons & Fractals, vol. 21, no. 1, pp. 143–150, Jul. 2004. DOI: https://doi.org/10.1016/j.chaos.2003.10.018

K. Chakrabarty and U. Kar, "Bifurcation and control of chaos in Induction motor drives." arXiv, Oct. 24, 2014.

Y. Bolotin, A. Tur, and V. Yanovsky, Chaos: Concepts, Control and Constructive Use. Berlin, Germany: Springer, 2009. DOI: https://doi.org/10.1007/978-3-642-00937-2

A. S. K. Tsafack, R. Kengne, A. Cheukem, J. R. M. Pone, and G. Kenne, "Chaos control using self-feedback delay controller and electronic implementation in IFOC of 3-phase induction motor," Chaos Theory and Applications, vol. 2, no. 1, pp. 40–48, Jun. 2020.

E. Scholl and H. G. Schuster, Handbook of Chaos Control. Berlin, Germany: John Wiley & Sons, 2008.

P. Q. Nguyen, Matlab & Simulink for Automation Engineers. Hanoi, Vietnam: Science and Technics Publishing House, 2004.

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How to Cite

[1]
Van, C.N., Hai, N.T. and Quang, N.P. 2023. Chaos Control of Doubly-Fed Induction Generator via Delayed Feedback Control. Engineering, Technology & Applied Science Research. 13, 2 (Apr. 2023), 10588–10594. DOI:https://doi.org/10.48084/etasr.5812.

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