Skip to main content
Log in

Robust excitation control of multi-machine multi-load power systems using Hamiltonian function method

  • Research Article
  • Published:
Frontiers of Electrical and Electronic Engineering in China

Abstract

Using an energy-based Hamiltonian function method, this paper investigates the robust excitation control of multi-machine multi-load power systems described by a set of uncertain differential algebraic equations. First, we complete the dissipative Hamiltonian realization of the power system and adjust its operating point by the means of pre-feedback control. Then, based on the obtained Hamiltonian realization, we discuss the robust excitation control of the power system and put forward an H excitation control strategy. Simulation results demonstrate the effectiveness of the control scheme.

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.

Similar content being viewed by others

References

  1. Wang Y, Gao G, Hill D J. Robust decentralized nonlinear controller design for multimachine power systems. Automatica, 1997, 33(9): 1725–1733

    Article  MathSciNet  Google Scholar 

  2. Akhrif O, Okou F A, Dessaint L A, Chmpagne R. Application of a multivariable feedback linearization scheme for rotor angle stability and voltage regulation of power systems. IEEE Transactions on Power Systems, 1999, 14(2): 620–628

    Article  Google Scholar 

  3. Sun C, Zhao Z, Sun Y, Lu Q. Design of nonlinear robust excitation control for multimachine power systems. IEE Proceedings — Generation, Transmission and Distribution, 1996, 143(3): 253–257

    Article  Google Scholar 

  4. Li G J, Lie T T, Soh C B, Yang G H. Decentralized nonlinear H1 control for stability enhancement in power systems. IEE Proceedings — Generation, Transmission and Distribution, 1999, 146(1): 19–24

    Article  Google Scholar 

  5. Cheng D, Xi Z, Hong Y, Qin H. Energy-based stabilization in power systems. In: Proceedings of the 14th IFAC World Congress. 1999, 297–303

  6. Wang Y, Cheng D, Hong Y. Stabilization of synchronous generators with the Hamiltonian function approach. International Journal of Systems Science, 2001, 32(8): 971–978

    MATH  MathSciNet  Google Scholar 

  7. Galaz M, Ortega R, Bazanella A S, Stankovic A M. An energy-shaping approach to the design of excitation control of synchronous generators. Automatica, 2003, 39(1): 111–119

    Article  MATH  MathSciNet  Google Scholar 

  8. Xi Z, Cheng D. Passivity-based stabilization and H control of the Hamiltonian control systems with dissipation and its applications to power systems. International Journal of Control, 2000, 73(18): 1686–1691

    Article  MATH  MathSciNet  Google Scholar 

  9. Ortega R, Galaz M, Astolfi A, Sun Y, Shen T. Transient stabilization of multimachine power systems with nontrivial transfer conductances. IEEE Transactions on Automatic Control, 2005, 50(1): 60–75

    Article  MathSciNet  Google Scholar 

  10. Xi Z, Cheng D, Lu Q, Mei S. Nonlinear decentralized controller design for multimachine power systems using Hamiltonian function method. Automatica, 2002, 38(3): 527–534

    Article  MATH  Google Scholar 

  11. Wang Y, Cheng D, Liu Y, Li C. Adaptive H excitation control of multimachine power systems via the Hamiltonian function method. International Journal of Control, 2004, 77(4): 336–350

    Article  MATH  MathSciNet  Google Scholar 

  12. Tsolas N, Arapostathis A, Varaiya P. A structure preserving energy function for power system transient stability analysis. IEEE Transactions on Circuits and Systems, 1985, 32(10): 1041–1049

    Article  MathSciNet  Google Scholar 

  13. Ortega R, van der Schaft A J, Maschke B, Escobar G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica, 2002, 38(4): 585–596

    Article  MATH  MathSciNet  Google Scholar 

  14. Ortega R, van der Schaft A J, Mareels I, Maschke B. Putting energy back in control. IEEE Control Systems, 2001, 21(2): 18–33

    Article  Google Scholar 

  15. Liu Y H, Li C W, Wu R B. Feedback control of nonlinear differential algebraic systems using Hamiltonian function method. Science in China, Series F: Information Sciences, 2006, 49(4): 436–445

    Article  MATH  MathSciNet  Google Scholar 

  16. Liu Y H, Li C W, Wang Y Z. Decentralized excitation control of multi-machine multi-load power systems using Hamiltonian function method. Acta Automatica Sinica, 2009, 35(7): 919–925

    Article  MathSciNet  Google Scholar 

  17. Hiskens I A, Hill D J. Energy functions, transient stability and voltage behavior in power systems with nonlinear loads. IEEE Transactions on Power Systems, 1989, 4(4): 1525–1533

    Article  Google Scholar 

  18. Lu Q, Mei S, Sun Y. Nonlinear Control of Power Systems. Beijing: Tsinghua University Press, 2008 (in Chinese)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yanhong Liu.

About this article

Cite this article

Liu, Y., Li, J. & Li, C. Robust excitation control of multi-machine multi-load power systems using Hamiltonian function method. Front. Electr. Electron. Eng. China 6, 547–555 (2011). https://doi.org/10.1007/s11460-011-0183-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11460-011-0183-6

Keywords

Navigation