Power system small-signal stability region calculation method based on the guardian map theory

Power system small-signal stability region calculation method based on the guardian map theory

For access to this article, please select a purchase option:

Buy article PDF
(plus tax if applicable)
Buy Knowledge Pack
10 articles for $120.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Your details
Why are you recommending this title?
Select reason:
IET Generation, Transmission & Distribution — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

In view of the potential problems in the system such as sustained oscillation and low damping ratio, which are not considered in traditional small-signal stability region (SSSR), an improved SSSR (ISSSR) calculation method based on the guardian map is proposed. First, according to the map theory, the system is mapped from the ISSSR to the negative half-plane. Then by direct sum operation the guardian map is constituted. Finally, the guardian map approach, which is able to solve the exact stability region of the Hurwitz matrix, is used for fast and accurate calculation of the boundary of ISSSR. Simulation tests on the IEEE 4-machine 11-node system and 16-machine 68-node system verify the correctness and effectiveness of the proposed method. Besides, the influence of the generator excitation system parameters on the ISSSR is also analysed, which is highly valuable in system dispatching instruction and small disturbance instability prevention.


    1. 1)
      • 1. Yixin, Y., Chengshan, W.: ‘Power system stability theory and method’ (China Electric Power Press, Beijing, 2004).
    2. 2)
      • 2. Kundur, P.: ‘Power system stability and control’ (McGraw-Hill, NY, 1993).
    3. 3)
      • 3. Qiang, S.: ‘Power system small signal stability region and low-frequency oscillations’, Tianjin University, Tianjin, 2007.
    4. 4)
      • 4. Hongjie, J.: ‘Study on power system small signal stability region’, Tianjin University, Tianjin, 2001.
    5. 5)
      • 5. Hongjie, J., Xiaodan, Y., Pei, Z.: ‘Topological characteristic studies on power system small signal stability region’. Power Engineering Society General Meeting, 2006.
    6. 6)
      • 6. Qiang, S., Yixin, Y.: ‘Hyper-plane approximation of boundary of small signal stability region and its application’, J. Tianjin Univ., 2008, 31, (11), pp. 647652.
    7. 7)
    8. 8)
      • 8. Dong, Z.Y.: ‘Advanced methods for small signal stability analysis and control in modern power systems’. PhD dissertation, The University of Sydney, 1998.
    9. 9)
      • 9. Xiao-dan, Y., Ying, H., Hong-jie, J.: ‘Study on extended small signal stability region of electrical power systems’, Proc. CSEE, 2006, 26, (21), pp. 2228.
    10. 10)
      • 10. Lahcen, S., Tits, A.L., Abed, E.H.: ‘On the generalized stability of families of polynomials’. Proc. IEEE Conf. Decision and Control, 1989, vol. 2, pp. 18681869.
    11. 11)
    12. 12)
      • 12. Barmish, B.R.: ‘New tools for robustness of linear systems’ (Macmillan Publishing Company, 1994).
    13. 13)
    14. 14)
      • 14. Zhou, K., Doyle, J.C., Glover, K.: ‘Robust and optimal control’ (Prentice-Hall, Upper Saddle River, NJ, 1996).
    15. 15)
    16. 16)
      • 16. Rogers, G.: ‘Power system oscillations’ (Kluwer, Norwell, MA, 2000).

Related content

This is a required field
Please enter a valid email address