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Dynamic extending nonlinear H∞ control and its application to hydraulic turbine governor

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Abstract

There exists a large class of nonlinear systems with uncertainties, such as hydraulic turbine governors, whose robust control problem is hard to solve by means of the existing robust control approaches. For this class of systems, this work presents a dynamic extending H∞ controller via both differential geometry and H∞ theory. Furthermore, based on differential game theory, it has been verified that the proposed control strategy has robustness in the sense that the disturbance can be attenuated effectively because the L2-gain from the disturbance input to the regulation output signal could be reduced to any given level. Thirdly, a robust control strategy for hydraulic turbine governor is designed according to the proposed extending H∞ control method, and has been developed into a real control equipment. Finally the field experiments are carried out which show clearly that the developed control equipment can enhance transient stability of power systems more effectively than the conventional controller.

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References

  1. IEEE Working Group Report. Hydraulic turbine and turbine control models for system dynamic studies. IEEE Trans Power Syst, 1992, 7(2): 167–179

    Google Scholar 

  2. Kunder P. Power System Stability and Control. New York: McGraw-Hill Inc, 1993

    Google Scholar 

  3. Qu Z, Dorsey J F, Bond J, et al. Robust transient control of power systems. IEEE Circuits Syst Mag, 1992, 39: 470–476

    Google Scholar 

  4. Wang Y Y, Xie L., Hill D J, et al. Robust nonlinear controller design for transient stability enhancement of power systems. In: Proceedings of the 31st IEEE Conference on Decision and Control, Tuscon, AZ, 1992. 1107–1112

  5. Lu Q, Sun C X, Sun Y Z. Nonlinear governor control for hydroturbine generator sets. In: Proceedings of IEEE TENCON’ 93, Beijing, 1993

  6. Wang Y Y, Guo G X, Hill D J. Robust decentralized nonlinear controller design for multimachine power systsms. Automatica, 1997, 33(9): 1725–1733

    Article  MathSciNet  Google Scholar 

  7. Wang Y Y, Hill D J, Guo G X. Robust decentralized control for multimachine power systems. IEEE Circuits Syst Mag, 1998, 45(3): 271–279

    Google Scholar 

  8. Lu Q, Mei S W, Hu W, et al. Decentralised nonlinear H∞ excitation control based on regulation linearization. IEE Proc Gener Transm Distr, 2000, 147(4): 245–251

    Article  Google Scholar 

  9. Lu Q, Mei S W, Hu W, et al. Nonlinear decentralized disturbance attenuation excitation control via new recursive design for multi-machine power systems. IEEE Trans Power Syst, 2001, 16: 729–736

    Article  Google Scholar 

  10. Xi Z R, Feng G., Cheng D Z, et al. Nonlinear decentralized saturated controller design for power systems. IEEE Trans Contr Syst Tech, 2003, 11: 539–547

    Article  Google Scholar 

  11. Liu F, Mei S W, Lu Q. SDM hybrid control approach for nonlinear systems and its application to power systems. Power Eng Soc Gener Meet IEEE, 2003, 3: 1657–1664

    Google Scholar 

  12. Lu Q, Sun Y S, Sun Y Z, et al. Nonlinear decentralized robust governor control for hydroturbine-generator sets in multi-machine power systems. Intern J Electr Power Energy Syst, 2004, 26: 333–339

    Article  Google Scholar 

  13. Van der Scheft. L2-gain analysis of nonlinear systems and nonlinear state feedback H∞ control. IEEE Trans Autom Contr, 1992, 33(6): 770–784

    Article  Google Scholar 

  14. Isidori A, Astolfi A. H∞ control via measurement feedback in nonlinear systems. IEEE Trans Autom Contr, 1992, 37(10): 1283–1293

    Article  MATH  MathSciNet  Google Scholar 

  15. Isidori A. H∞ control via measurement feedback for affine nonlinear systems. Intern J Robust Nonlin Contr, 1994, 4: 553–574

    Article  MATH  MathSciNet  Google Scholar 

  16. Khalil H K. Nonlinear Systems. 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 1996

    Google Scholar 

  17. Isidori A. Nonlinear Control Systems: An Introduction (Communications and Control Engineering). 3rd ed. New York: Springer-verlag, 1995

    MATH  Google Scholar 

  18. Doyle J C, Glover K, Khargonekar P P, et al. State-space solution to the standard H2 to H∞ control problems. IEEE Trans Autom Contr, 1989, 34(8): 831–847

    Article  MATH  MathSciNet  Google Scholar 

  19. Lu Q, Sun Y Z, Mei S W. Nonlinear Control System and Power System Dynamics. Boston: Kluwer Academic Publishers, 2001

    MATH  Google Scholar 

  20. Issacs R. Differential Games. New York: Wiley, 1965

    Google Scholar 

  21. Friedman A. Differential Games. New York: Wiley-Interscience, 1971

    MATH  Google Scholar 

  22. Gui X Y, Hu W, Liu F, et al. Governor control design based on nonlinear hydraulic turbine model. Autom Electr Power Syst, 2005, 29(15): 18–22.

    Google Scholar 

  23. Gui X Y, Mei S W, Liu F, et al. Adaptive nonlinear control for hydraulic turbine governor. Proc Chin Soc Electr Eng, 2006, 26(8): 66–71

    Google Scholar 

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Authors and Affiliations

  1. State Key Laboratory of Power System, Department of Electrical Engineering, Tsinghua University, Beijing, 100084, China

    Mei ShengWei, Gui XiaoYang, Shen Chen & Lu Qiang

Authors
  1. Mei ShengWei
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  2. Gui XiaoYang
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  3. Shen Chen
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  4. Lu Qiang
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Corresponding author

Correspondence to Mei ShengWei.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 50525721, 50595411) and Chinese State Power Corporation (Grant No. SPKJ008-05)

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Mei, S., Gui, X., Shen, C. et al. Dynamic extending nonlinear H∞ control and its application to hydraulic turbine governor. SCI CHINA SER E 50, 618–635 (2007). https://doi.org/10.1007/s11431-007-0074-5

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  • DOI: https://doi.org/10.1007/s11431-007-0074-5

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