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Robust H control of a Hamiltonian system with uncertainty and its application to a multi-machine power system

Robust H control of a Hamiltonian system with uncertainty and its application to a multi-machine power system

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The robust H problem for a class of generalised forced Hamiltonian systems with uncertainty is investigated. A design approach for the robust H controller is presented and the L2-gain from the disturbance input to the regulation output signal is shown to be able to be reduced to any given level provided that a derived algebraic inequality has a solution. The proposed method is used to create a Hamiltonian-like model with uncertainty which is able to describe power system dynamics on a full scale. Consequently a decentralised nonlinear robust H control law can be produced for a multi-machine power system using the Hamiltonian function. Simulations performed on a six-machine system verify that the proposed excitation control can cope with large disturbances and can enhance the transient stability of the power system more effectively than other types of controllers.

References

    1. 1)
    2. 2)
      • Ortega, R., van der Schaft, V.J., Maschke, B.M.J.: `Energy-shaping of port-controlled Hamiltonian systems by interconnection', Proc. 37th IEEE Conf. on Decision and Control, Phoenix, 1998, p. 1646–1651.
    3. 3)
      • Y.N. Yu . (1983) Electric power system dynamics.
    4. 4)
      • R. Ortega , A. Loria , P.J. Nicklasson , H. Siraramirez . (1998) Passivity-based control of Euler-Lagrangian systems, Communications and control engineering.
    5. 5)
      • Cheng, D., Xi, Z., Hong, Y., Qin, H.: `Energy-based stabilization of forced Hamiltonian systems and its application to power systems', Proc. 14th World Cong. Int. Federation of Automatic Control, Beijing, China, 1999, O, p. 297–302.
    6. 6)
    7. 7)
    8. 8)
      • Shen, T., Ortega, R., Mei, S.: `Adaptive disturbance attenuation of Hamiltonian systems with parametric perturbation and application to power systems', Proc. 39th IEEE Conf. on Decision and Control, Sydney, Australia, 2000, p. 4939–4945.
    9. 9)
      • Maschke, B.M.J., Ortega, R., van der Schaft, V.J.: `Energy-based Lyapunov function for forced Hamiltonian systems with dissipation', Proc. 37th IEEE Conf. on Decision and Control, Tampa, FL, 1998, p. 3599–3604.
    10. 10)
      • A.J. Van Der Schaft . (1999) L.
    11. 11)
    12. 12)
      • J.J.E. Slotine , W. Li . (1991) Applied nonlinear control.
    13. 13)
      • Y. Wang , D.J. Hill , G. Guo . Robust decentralized control for multi-machine power systems. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , 39 , 1725 - 1733
    14. 14)
      • Z. Xi , D. Cheng . Passivity-based stability and control of the Hamiltonian control systems with dissipation and its applications to power systems. Int. J. Control , 18 , 1686 - 1691
    15. 15)
      • Mei, S., Shen, T., Hu, W., Lu, Q.: `Robust control of Hamilton system and application to power system', Proc. 15th World Cong. Int. Federation of Automatic Control, Spain, Barcelona, 2002.
    16. 16)
    17. 17)
      • D. Cheng , Z. Xi , Q. Lu , S. Mei . Geometric structure of generalized controlled Hamiltonian systems and its application. Sci. China E , 4 , 365 - 379
    18. 18)
      • Maschke, B.M.J., Ortega, R., van der Schaft, V.J., Escobr, G.: `A energy-based derivation of Lyapunov functions for forced systems with application to stabilization control', Proc. 14th World Congress International Federation of Automatic Control, Beijing, Pergamon, 1999, p. 409–414.
    19. 19)
      • Mei, S., Lu, Q., Sun, Y.: `Nonlinear H', Proc. 14th World Cong. Int. Federation of Automatic Control, Beijing, China, 1999, O, p. 291–296.
    20. 20)
      • Q. Lu , S. Mei , T. Shen , W. Hu . Recursive design of nonlinear H∞ excitation controller. Sci. China E , 1 , 23 - 31
    21. 21)
      • Z. Xi , G. Feng , D. Cheng , Q. Lu . Nonlinear decentralized saturated controller design for power systems. IEEE Trans. Control Syst. Technol. , 4 , 539 - 547
    22. 22)
      • Q. Lu , S. Mei , W. Hu , Y.H. Song . Decentralized nonlinear H∞ excitation control based on regulation linearization. IEE Proc., Genar., Transm. Distrib. , 4 , 245 - 251
    23. 23)
    24. 24)
      • Xi, Z.: `A nonlinear decentralized steam valving controller for multimachine power systems', Proc. 15th Triennial World Cong. Int. Federation of Automatic Control, Spain, Barcelona, 2002.
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