Skip to main content
Log in

Variable speed synergetic control for chaotic oscillation in power system

  • Original Paper
  • Published:
Nonlinear Dynamics Aims and scope Submit manuscript

Abstract

Chaotic oscillation is an undesirable phenomenon in power system and it can destroy the stability of power system. The objective of this paper is to propose variable speed synergetic control to eliminate chattering phenomenon in sliding-mode control and avoid undesirable phenomena when suppressing chaotic oscillation in power system. The prominent advantage of proposed control scheme is that it can adjust convergence speed according to the system response thus avoiding undesirable phenomena in the control process. Simulation results show that our control scheme avoids undesirable phenomena in the control process and speeds up convergence rate.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Boccaletti, S., Grebogi, C., Lai, Y.C., Mancini, H., Maza, D.: The control of chaos: theory and applications. Phys. Rep. 329, 103–197 (2000)

    Article  MathSciNet  Google Scholar 

  2. Tan, C.W., Varghese, N., Varaiya, P., Wu, F.F.: Bifurcation chaos and voltage collapse in power system. Proc. IEEE 83, 1484–1496 (1995)

    Article  Google Scholar 

  3. US-Canada Power System Outage Task Force: Final Report on the August 14, 2003 Blackout in the United States and Canada. Technical Report (2004)

  4. Zhang, W.J., Yin, Q.Y.: Analysis of power system faults occurred in 1996 and some suggestions for fault treatment. Power Syst. Technol. 21, 54–57 (1997) (in Chinese)

  5. Union for the Co-ordination of Transmission of Electricity: Final Report System Disturbance on 4 Nov. 2006. Technical Report (2007)

  6. Wei, D.Q., Luo, X.S.: Noise-induced chaos in single-machine infinite-bus power systems. EPL 86, 50008 (2009)

    Article  Google Scholar 

  7. Yu, Y.X., Jia, H.J., Li, P., Su, J.F.: Power system instability and chaos. Electr. Power Syst. Res. 65, 187–195 (2003)

    Article  Google Scholar 

  8. Jia, H.J., Yu, Y.X., Li, P., Su, J.F.: Relationships of power system chaos and instability modes. Proc. CSEE 23, 1–4 (2003) (in Chinese)

  9. Navid, N., Behnam, K., Alireza, S.: Chaotic oscillations damping in power system by finite time control theory. Int. Rev. Electr. Eng. 3, 1032–1038 (2009)

    Google Scholar 

  10. Nayfeh, A.H., Harb, A.M., Chin, C.M.: Bifurcations in a power system model. Int. J. Bifurc. Chaos 6, 497–512 (1996)

  11. Jia, H.J., Yu, Y.X., Yu, X.D., Huang, C.H., Zhang, P.: Three routes to chaos in power system. In: Canadian Conference on Electrical and Computer Engineering, Montreal, pp. 79–84 (2004)

  12. Wei, D.Q., Zhang, B., Qiu, D.Y., Luo, X.S.: Effect of noise on erosion of safe basin in power system. Nonlinear Dyn. 61, 477–482 (2010)

    Article  MATH  Google Scholar 

  13. Qin, Y.H., Luo, X.S., Wei, D.Q.: Random-phase-induced chaos in power systems. Chin. Phys. B 19, 050511 (2010)

    Article  Google Scholar 

  14. Widyan, M.S.: Controlling chaos and bifurcations of SMIB power system experiencing SSR phenomenon using SSSC. Int. J. Electr. Power Energy Syst. 49, 66–75 (2013)

    Article  Google Scholar 

  15. Ji, D.H., Jeong, S.C., Park, J.H., Won, S.C.: Robust adaptive backstepping synchronization for a class of uncertain chaotic systems using fuzzy disturbance observer. Nonlinear Dyn. 65, 1125–1136 (2012)

    Article  MathSciNet  Google Scholar 

  16. Aghababa, M.P., Aghababa, H.P.: Chaos suppression of rotational machine systems via finite-time control method. Nonlinear Dyn. 69, 1881–1888 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  17. Li, N., Yuan, H.Q., Sun, H.Y., Zhang, Q.L.: An impulsive multi-delayed feedback control method for stabilizing discrete chaotic systems. Nonlinear Dyn. 73, 1187–1199 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  18. Aghababa, M.P.: Finite-time chaos control and synchronization of fractional-order nonautonomous chaotic (hyperchaotic) systems using fractional nonsingular terminal sliding mode technique. Nonlinear Dyn. 69, 247–261 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  19. Pan, L., Zhou, L., Li, D.Q.: Synchronization of three-scroll unified chaotic system (TSUCS) and its hyper-chaotic system using active pinning control. Nonlinear Dyn. 73, 2059–2071 (2013)

    Article  MathSciNet  Google Scholar 

  20. Wang, Y.H., Fan, Y.Q., Wang, Q.Y., Zhang, Y.: Adaptive fuzzy synchronization for a class of chaotic systems with unknown nonlinearities and disturbances. Nonlinear Dyn. 69, 1167–1176 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  21. Wei, D.Q., Luo, X.S., Qin, Y.H.: Controlling bifurcation in power system based on LaSalle invariant principle. Nonlinear Dyn. 63, 323–329 (2011)

    Article  MathSciNet  Google Scholar 

  22. Wei, D.Q., Luo, X.S.: Passivity-based adaptive control of chaotic oscillations in power system. Chaos Solitons Fractals 31, 665–671 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  23. Chen, Y.S., Chang, C.C.: Adaptive impulsive synchronization of nonlinear chaotic systems. Nonlinear Dyn. 70, 1795–1803 (2012)

  24. Kolesnikov, A.: Modern Applied Control Theory: Synergetic Approach in Control Theory. TRTU, Moscow (2000)

  25. Ni, J.K., Liu, C.X., Pang, X.: Fuzzy fast terminal sliding mode controller using an equivalent control for chaotic oscillation in power system. Acta Phys. Sin. 62, 190507 (2013) (in Chinese)

  26. Djennoune, S., Bettayeb, M.: Optimal synergetic control for fractional-order systems. Automatica 49, 2243–2249 (2013)

  27. Santi, E., Monti, A., Li, D.H., Proddutur, K., Dougal, R.A.: Synergetic control for DC-DC boost converter: implementation options. IEEE Trans. Ind. Appl. 39, 1803–1813 (2003)

  28. Jiang, Z.H., Dougal, R.: A synergetic control of power converters for pulse current charging of advanced batteries from a fuel cell power source. IEEE Trans. Power Electron. 19, 1140–1150 (2004)

  29. Bouchama, Z., Harmas, M.N.: Optimal robust adaptive fuzzy synergetic power system stabilizer design. Electr. Power Syst. Res. 83, 170–175 (2012)

    Article  Google Scholar 

  30. Nechadi, E., Harmas, M.N., Hamzaoui, A., Essounbouli, N.: Type-2 fuzzy based adaptive synergetic power system control. Electr. Power Syst. Res. 88, 9–15 (2012)

    Article  Google Scholar 

  31. Zhang, Y., Jiang, Z.H., Yu, X.W.: Indirect field-oriented control of induction machines based on synergetic control theory. In: IEEE Power & Energy Society General Meeting, Pittsburgh, pp. 1985–1991 (2008)

  32. Kundur, P.: Power System Stability and Control. McGraw-Hill Inc, New York (1994)

    Google Scholar 

  33. Chen, H.K., Lin, T.N., Chen, J.H.: Dynamic analysis, controlling chaos and chaotification of a SMIB power system. Chaos Solitons Fractals 24, 1307–1315 (2005)

    Article  MATH  Google Scholar 

  34. Kondratiev, I., Dougal, R.: General synergetic control strategies for arbitrary number of paralleled buck converters feeding constant power load: implementation of dynamic current sharing. In: IEEE International Symposium on Industrial Electronics, Montreal, pp. 257–261 (2006)

  35. Kolesnikov, A., Veselov, G., Monti, A., Ponci, F., Santi, E., Dougal, R.: Synergetic synthesis of Dc-Dc boost converter controllers: Theory and experimental analysis. In: Seventeenth Annual IEEE Applied Power Electronics Conference and Exposition, Dallas, pp. 409–415 (2002)

  36. ANSI/IEEE Standard C37.106-1987, IEEE Guide for Abnormal Frequency Protection for Power Generating Plants

Download references

Acknowledgments

The authors would like to thank our colleague Ling Liu for his valuable suggestions in the revision process. This project was supported by the National Natural Science Foundation of China (Grant No. 51177117), the Creative Research Groups Fund of the National Natural Science Foundation of China (Grant No. 51221005), and the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20100201110023).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Junkang Ni.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ni, J., Liu, C., Liu, K. et al. Variable speed synergetic control for chaotic oscillation in power system. Nonlinear Dyn 78, 681–690 (2014). https://doi.org/10.1007/s11071-014-1468-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11071-014-1468-0

Keywords

Navigation