Skip to main content
Log in

A class of multiple time scale algorithms for simulating power system frequency dynamics

  • Published:
Journal of Scientific Computing Aims and scope Submit manuscript

Abstract

In this paper the wide spectrum of the response times involved in the average system frequency dynamic behavior of power systems is exploited in the computer simulation of the power system. The various subsystem models of the power plants are decomposed into different time scales. A class of multiple time scale algorithm is proposed that used different time steps for the integration of the subsystems belonging to different time scale groupings. A special feature of the algorithms is the coordination of the interfaces between the different time scale solutions. Numerical study of a 5 bus power system is included to demonstrate the improvement in the solution time, stability, and accuracy of the new approach over previous methods.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Ewart, D. N. (1978). Whys and wherefores of power system blackouts.IEEE Spectrum 15(4), 36–41.

    Google Scholar 

  • EPRI (1974). Long Term Power Systems Dynamics, 90–7, Vol. I.

  • EPRI (1977). Power System Dynamic Phase I. EL-484.

  • Frowd, R. J., Giri, J. C, and Podmore, R. (1982). Transient stability and long-term dynamics unified.IEEE/PES Winter meeting, Jan. 31-Feb. 5, New York, New York.

  • Gear, C. W. (1972).Numerical Initial Value Problems in Ordinary Differential Equations. Prentice-Hall. Englewood, Cliffs, New Jersey.

    Google Scholar 

  • Gomes, D. A. (1972). Average System Frequency Approach to Slow Speed Power System Dynamics, M.S. thesis, MIT.

  • Gross, G., and Bergen, A. R. (1977). A class of new multistep integration algorithms for the computation of power systems dynamical response,IEEE Trans. Power Apparatus Syst. PAS-96-1, 293–306.

    Google Scholar 

  • Islam, S. M. (1983). A Modified Multiple Time Scale Algorithm for Simulating Average Power System Frequency Transients, M.S. thesis, KFUPM Press, Dhahran, Saudi Arabia.

    Google Scholar 

  • Islam, S. M., and Somuah, C. B. (1987). Multiple time scale integration scheme for the solution of stiff differential equations,J. Adv. Modelling Simulation 7(3), 16–27.

    Google Scholar 

  • Somuah, C. B., and Schweppe F. C. (1981). On-line computer control of a power system during an emergency,IEEE Trans. Power Apparatus Syst. PAS-100-5, 2619–2627.

    Google Scholar 

  • Staton, K. N. (1972). Dyamic energy balance studies for simulating power frequency transients,IEEE Trans. Power Apparatus Syst. PAS-91-1, 110–117.

    Google Scholar 

  • Spalding, B. D., Millis, G., and Evans, R. J. (1974). Some computational techniques in the analyses of power system dynamics,Computers Eng. 158–162.

  • Winkelman, J. R., Chow, J. H., Allemong, J. J., and Koktovic, P. V. (1980). Multiple time scale analysis of a power system,Automatica 16, 35–43.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Somuah, C.B., Islam, S.M. A class of multiple time scale algorithms for simulating power system frequency dynamics. J Sci Comput 3, 307–322 (1988). https://doi.org/10.1007/BF01061289

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01061289

Key words

Navigation