Advertisement

Classical Approach

  • German Ardul Munoz-Hernandez
  • Sa’ad Petrous Mansoor
  • Dewi Ieuan Jones
Chapter
Part of the Advances in Industrial Control book series (AIC)

Abstract

This chapter analyses the behaviour of hydropower plants under PID controllers. The stability of the unit in isolated operation, using Routh–Hurwitz stability criterion, is analysed. After that, the stability of the plant connected to a power system is also analysed. Then, the stability of plant operating with deadband is discussed. In addition, some tuning rules for PI and PI with anti-windup controllers are presented. Finally, some conclusions are drawn.

Keywords

Power System Stability Boundary Guide Vane Phase Margin Root Locus 
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.

References

  1. 32.
    Hagihara, S.: Stability of a hydraulic turbine generating unit controlled by P.I.D governor. IEEE Trans. Power Apparat. Syst. 98, 2294–2298 (1979)CrossRefGoogle Scholar
  2. 33.
    Mansoor, S.P.: Behaviour and operation of pumped storage hydro plants. Ph.D. thesis, Bangor University, Bangor (2000)Google Scholar
  3. 61.
    Wozniak, L., Fett, G.H.: Conduit representation in closed loop simulation of hydraulic systems. ASME Publ. 71, 1–5 (1971)Google Scholar
  4. 65.
    Dutton, K., Thompson, S., Barraclough, B.: The Art of Control Engineering. Addison-Wesley, Menlo Park (1998)Google Scholar
  5. 69.
    Paynter, H.M.: Methods and results from M.I.T studies in unsteady flow. BSCE J. 39, 224–227 (1952)Google Scholar
  6. 94.
    MathWorks: Using Matlab, Version 6. MathWorks, Natick (2000)Google Scholar
  7. 96.
    Franklin, G.F., Powell, J.D.: Feedback Control of Dynamic Systems, 3rd edn. Prentice Hall, Upper Saddle River (2009)Google Scholar
  8. 104.
    Mansoor, S.P., Jones, D.I., Bradley, D.A., Aris, F.C.: Stability of a pumped storage hydropower station connected to a power system. In: IEEE Power Engineering Society Winter Meeting, New York, pp. 646–650 (1999)Google Scholar
  9. 115.
    Astrom, K.J., Murray, R.M.: Feedback Systems. Princeton University Press, Princeton (2008)Google Scholar
  10. 116.
    Ogata, K.: Modern Control Engineering, 5th edn. Prentice Hall, Upper Saddle River (2009)Google Scholar
  11. 117.
    Hovey, L.M., Bateman, L.A.: Speed-regulation tests on a hydro station supplying an isolated load. AIEE Trans. 62, 364–371 (1962)Google Scholar
  12. 118.
    Hovey, L.M.: Optimum adjustment of hydro governors on manitoba hydro. AIEE Trans. 81, 585 (1962)Google Scholar
  13. 119.
    Van Ness, J.E.: Root loci of load frequency control systems. IEEE Trans. Power Apparat. Syst. S82, 712–724 (1963)Google Scholar
  14. 120.
    Graham, D., Lathrop, R.C.: The synthesis of optimum responses: criteria and standard forms. Trans. Am. Inst. Electr. Eng. 72, 273–288 (1953)Google Scholar
  15. 121.
    Mason, S.J.: Feedback theory: some properties of signal flow graphs. Proc. IRE 41, 1144–1156 (1953)CrossRefGoogle Scholar
  16. 122.
    Power Engineering Society IEEE: IEEE Standard 122-1991: Recommended Practice for Functional and Performance Characteristics of Control Systems for Steam Turbine-Generator Units. IEEE, New York (1992)Google Scholar
  17. 123.
    Rossiter, J.A.: Model-Based Predictive Control. CRC Press, Boca Raton (2003)Google Scholar
  18. 124.
    Peng, Y., Vrancic, D., Hanus, R.: Anti-windup, bumpless, and conditioned transfer techniques for PID controllers. IEEE Control Syst. Mag. 16, 48–57 (1996)CrossRefGoogle Scholar
  19. 125.
    Bohn, C., Atherton, D.P.: An analysis package comparing PID anti-windup strategies. IEEE Control Syst. Mag. 15, 34–40 (1995)CrossRefGoogle Scholar
  20. 126.
    Goodwin, G.C., Graebe, S.F., Salgado, M.E.: Control System Design. Prentice Hall, Upper Saddle River (2001)Google Scholar

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • German Ardul Munoz-Hernandez
    • 1
  • Sa’ad Petrous Mansoor
    • 2
  • Dewi Ieuan Jones
    • 3
  1. 1.Instituto Tecnologico de PueblaPueblaMexico
  2. 2.School of Computer ScienceBangor UniversityBangorUK
  3. 3.GWEFR Cyf Pant Hywel PenisarwaunCaernarfonUK

Personalised recommendations