Skip to main content
Log in

Differential topological characteristics of the DSR on injection space of electrical power system

  • Published:
Science in China Series E: Technological Science Aims and scope Submit manuscript

Abstract

This paper analyzes the differential topological characteristics of the dynamic security region (DSR) on injection space of electrical power system by differential topology theories. It is shown that the boundary of the DSR on injection space has no suspension and is compact, and there are no holes inside the DSR defined based on controlling unstable equilibrium point (UEP) method. The 10-generator, 39-bus New England Test System, is taken as an example to show these characteristics of the DSR on injection space.

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

  1. Yu, Y. X., Chen, L. Y., Security and Stability of Electrical Power System (in Chinese). Beijing: Science Press, 1988.

    Google Scholar 

  2. Chiang, H. D., Wu, F. F., Varaiya, P. P. Foundations of direct method for power system transient stability analysis, IEEE Transactions on Circuits and Systems, 1987, CAS-34(2): 160–173.

    Article  MATH  MathSciNet  Google Scholar 

  3. Kaye, R. J., Wu, F. F., Dynamic security regions of power systems, IEEE Transactions on Circuits and Systems, 1982, CAS-29(9): 612–623.

    Article  MATH  MathSciNet  Google Scholar 

  4. Wu, F. F., Tsai, Y. K., Yu, Y. X., Probabilistic steady-state and dynamic security assessment., IEEE Transactions on Power Systems, 1988, 3(1): 1–9.

    Article  Google Scholar 

  5. Zeng, Y., Fan, J. C., Yu, Y. X. et al., Practical dynamic security regions of bulk power systems. Automation of Electric Power System (in Chinese), 2001, 25(16): 6–10.

    Google Scholar 

  6. Chillingworth, D., Differential Topology with a View to Applications, London: Pitman Publishers, 1976.

    Google Scholar 

  7. Hirsch, M. W., Smale, S., Differential Equation, Dynamical Systems and Linear Algebra, New York: Academic Press, 1974.

    Google Scholar 

  8. Guckenheimer, J., Holmes, P., Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, New York: Springer-Verlag, 1983.

    MATH  Google Scholar 

  9. Narasimhamurthi, N., Musavi, M. R., A generalized energy function for transient stability analysis of power systems, IEEE Transactions on Circuits and Systems, 1984, CAS-31(7): 637–645.

    Article  Google Scholar 

  10. Yu, Y. X. Wang, C. S., Theories and Methods of Electrical Power System Stability (in Chinese), Beijing: Science Press, 1999.

    Google Scholar 

  11. Chiang, H. D., Wu, F. F., Varaiya, P. P., BCU method for direct analysis of system transient stability, IEEE Transactions on Power Systems, 1994, 9(3): 1194–1208.

    Article  Google Scholar 

  12. Chiang, H. D., Wu, F. F., Varaiya, P. P., Foundations of the potential energy boundary surface method for power system transient stability analysis, IEEE Transactions on Circuits and Systems, 1988, CAS-35(6): 712–728.

    Article  MATH  MathSciNet  Google Scholar 

  13. Chiang, H. D., Hirsch, M. W., Wu, F. F., Stability regions of nonlinear autonomous dynamical systems, IEEE Transactions on Automatic Control, 1988, 33(1): 16–27.

    Article  MATH  MathSciNet  Google Scholar 

  14. Pai, M. A., Energy Function Analysis for Power System Stability, Boston: Kluwer Academic Publishers 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yu Yixin.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yu, Y., Zeng, Y. & Feng, F. Differential topological characteristics of the DSR on injection space of electrical power system. Sci. China Ser. E-Technol. Sci. 45, 576–584 (2002). https://doi.org/10.1360/02ye9066

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1360/02ye9066

Keywords

Navigation