Advertisement

Adaptive nonlinear excitation control of synchronous generators

  • Gilney Damm
  • Riccardo Marino
  • Françoise Lamnabhi-Lagarrigue
Conference paper
Part of the Lecture Notes in Control and Information Sciences book series (LNCIS, volume 281)

Abstract

In this paper, continuing the line of our previous works, a nonlinear adaptive excitation control is designed for a synchronous generator modeled by a standard third order model on the basis of the physically available measurements of relative angular speed, active electric power and terminal voltage. The power angle, which is a crucial variable for the excitation control, is not assumed to be available for feedback, as mechanical power is also considered as an unknown variable. The feedback control is supposed to achieve transient stabilization and voltage regulation when faults occur to the turbines so that the mechanical power may permanently take any (unknown) value within its physical bounds. Transient stabilization and voltage regulation are achieved by a nonlinear adaptive controller, which generates both on-line converging estimates of the mechanical power and a trajectory to be followed by the power angle that converges to the new equilibrium point compatible with the required terminal voltage. The main contributions here, compared with our previous works, is the use of on-line computation and tracking of equilibrium power angle, and the proof of exponential stability of the closed loop system for states and parameter estimates, instead of the previous asymptotical one.

Keywords

Equilibrium Point Close Loop System Mechanical Power Voltage Regulation Terminal Voltage 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Siddiquee, M., W. (1968) Transient stability of an a.c. generator by Lyapunov direct method. Int. J. of Control 8, 131–144CrossRefGoogle Scholar
  2. 2.
    Pai, M., A. and Rai, V. (1974) Lyapunov-Popov stability analysis of a synchronous machine with flux decay and voltage regulator. Int. J. of Control 19, 817–826zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Marino, R. and Nicosia, S. (1974) Hamiltonian-type Lyapunov functions. Int. J. of Control 19, 817–826CrossRefGoogle Scholar
  4. 4.
    Marino, R. (1984) An example of nonlinear regulator. IEEE Trans. Automatic Control 29, 276–279zbMATHCrossRefGoogle Scholar
  5. 5.
    Gao, L., Chen, L., Fan, Y. and Ma, H. (1992) A nonlinear control design for power systems. Automatica 28, 975–979zbMATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    Wang, Y., Hill, D. J., Middleton, R. H. and Gao, L. (1993) Transient stability enhancement and voltage regulation of power systems. IEEE Trans. Power Systems 8, 620–627CrossRefGoogle Scholar
  7. 7.
    Bazanella, A., Silva, A. S., Kokotovic, P. (1997) Lyapunov design of excitation control for synchronous machines. Proc. 36th IEEE-CDC, San Diego, CAGoogle Scholar
  8. 8.
    Wang, Y., Hill, D. J., Middleton, R. H. and Gao, L. (1994) Transient stabilization of power systems with an adaptive control law. Automatica 30, 1409–1413zbMATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    Marino, R., Damm, G.R., Lamnabhi-Lagarrigue, F. (2000) Adaptive Nonlinear Excitation Control of Synchronous Generators with Unknown Mechanical Power. book-Nonlinear Control in the Year 2000-Springer-VerlangGoogle Scholar
  10. 10.
    Damm, G.R., Lamnabhi-Lagarrigue, F., Marino, R. (2001) Adaptive Nonlinear Excitation Control of Synchronous Generators with Unknown Mechanical Power. 1st IFAC Symposium on System Structure and Control, Prague, Czech RepublicGoogle Scholar
  11. 11.
    Bergen, A. R. (1989). Power Systems Analysis. Prentice Hall, Englewood Cliffs, NJGoogle Scholar
  12. 12.
    Wang, Y. and Hill, D. J. (1996) Robust nonlinear coordinated control of power systems. Automatica 32, 611–618zbMATHCrossRefMathSciNetGoogle Scholar
  13. 13.
    Pomet, J. and Praly, L. (1992) Adaptive nonlinear regulation: estimation from the Lyapunov equation. IEEE Trans. Automatic Control 37, 729–740zbMATHCrossRefMathSciNetGoogle Scholar
  14. 14.
    Narendra, K. S. and Annaswamy, A. M. (1989). Adaptive Systems. Prentice Hall, Englewood Cliffs, NJGoogle Scholar
  15. 15.
    Marino, R. and Tomei, P. (1995). Nonlinear Control Design-Geometric, Adaptive and Robust. Prentice Hall, Hemel HempsteadzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Gilney Damm
    • 1
  • Riccardo Marino
    • 2
  • Françoise Lamnabhi-Lagarrigue
    • 1
  1. 1.Laboratoire des Signaux et SystèmesCNRSGif-sur-Yvette CedexFrance
  2. 2.Dipartimento di Ingegneria ElettronicaUniversità di Roma Tor VergataRomeItaly

Personalised recommendations