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Methods Adopted for Detailed Modelling of Alternators in State Space for Stability Analysis

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Abstract

The earlier methods adopted for stability analysis of synchronous machines were based on approximations and idealizing assumptions. As such, the accuracy of prediction was limited. The advent of fast-acting computers having large memory space opened up the avenue for accurate analysis by handling detailed modelling. The earlier methods were based on equal area criterion or on swing equation or some of its modified form. But, the methods applied nowadays uses state space representation of the dynamic equations. The paper shows the steps to develop state space models (both with current and flux-linkage states) for transient stability analysis and the methods of linearizing the model about the operating point to assess dynamic stability. Two case studies have been given at the end to illustrate the methods.

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Abbreviations

SCR:

Short Circuit Ratio

TPS:

Thermal Power Station

CMR:

Continuous Maximum Rating

AVR:

Automatic Voltage Regulator

O.C.C.:

Open Circuit Characteristic

S.C.C.:

Short Circuit Characteristic

References

  1. J.Y. Fan, T.H. Crtrneyer, R. Mukundan, Power system stability. IEEE Trans. Power Syst. 5(1), 227–233 (1990)

    Article  Google Scholar 

  2. W. Stagg, A.H. EI-Abied, Computer Methods in Power System Analysis (McGraw-Hill Book Company, New York, 1968)

    Google Scholar 

  3. P. Kundur, Power System Stability and Control (McGraw Hill, New York, 1994)

    Google Scholar 

  4. B. Adkins, G. Harley, Generalized Theory of AC Machines (Chapman and Hall, London, 1957)

    Google Scholar 

  5. K. R. Padiyar, Power System Dynamics, ISBN: 1 904798 012 (IIT, Bangalore, 2008)

  6. P. Kundur, P.L. Dandeno, Implementation of advanced generator models into power system stability programs. IEEE Power Eng. Rev. 7, 2047–2054 (1983)

    Google Scholar 

  7. K. Ogata, State Space Analysis of Control Systems (Prentice-Hall, Englewood Cliffs, 1967)

    MATH  Google Scholar 

  8. R.H. Park, Two reaction theory of synchronous machines, Part. 1. Trans. Am. Inst. Electr. Eng. 48, 716–727 (1929)

    Article  Google Scholar 

  9. R.H. Park, Two reaction theory of synchronous machines, Part. 2. Trans. Am. Inst. Electr. Eng. 52, 44–45 (1929)

    Google Scholar 

  10. P.M. Anderson, A.A. Fouad, Power System Control and Stability (IOWA State University Press, Galgotia Publications, Lowa city, 1977)

    Google Scholar 

  11. V. Venikov, Transient Processes in Electric Power System (MIR Publishers, Moscow, 1980)

    Google Scholar 

  12. D. P. Kothari, I. J. Nagrath, Power System Engineering, 2nd. Ed, ISBN 10: 0070647917/ ISBN 13: 9780070647916 (Tata McGraw-Hill Education Pvt. Ltd., 2007)

  13. F. Selwa, L. Djamel, Transient stability analysis of synchronous generator in electrical network. Int. J. Sci. Eng. Res. 5(8), 55–59 (2014)

    Google Scholar 

  14. M. Pavella, P.G. Moorthy, Transient Stability of Power Systems: Theory and Practice (Scitech, Goia´s, 1994)

    Google Scholar 

  15. T.K. Majumdar, A.N. Sanyal, B. Majumdar, Dynamic stability analysis of remote hydel power station connected to infinite bus through long transmission line. Indian J. Power River Valley Dev. 50(384), 67–70 (2000)

    Google Scholar 

  16. T.K. Majumdar, A.N. Sanyal, Reduced order model of a captive power plant for dynamic stability analysis, Vidyut Bharati 4(23), (2001)

  17. A. Ghosh, A. Das, A.N. Sanyal, Transient stability assessment of an alternator connected to infinite bus through a series impedance using state space model. J. Inst. Eng. India Ser. B 100(5), 509–513 (2019). https://doi.org/10.1007/s40031-019-00397-w

    Article  Google Scholar 

  18. F.P. Demello, C. Concordia, Concepts of synchronous machine stability as affected by excitation control. IEEE Trans. Power Appar. Syst. PAS-88, 316–329 (1969)

    Article  Google Scholar 

  19. C.C. Young, Computer representation of excitation system. IEEE Trans. Power Appar. Syst. PAS-87(6), 1460–1464 (1968)

    Article  Google Scholar 

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Basu, M., Ghosh, A., Das, A. et al. Methods Adopted for Detailed Modelling of Alternators in State Space for Stability Analysis. J. Inst. Eng. India Ser. B 102, 87–98 (2021). https://doi.org/10.1007/s40031-020-00513-1

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