LINEAR INDEX DEFINITION TO EVALUATE THE RISK OF VOLTAGE COLLAPSE IN A COMPLEX NETWORK

A. Berizzi, A. Gandelli, and M. Merlo

References

  1. [1] B. Gao, G.K. Morison, & P. Kundur, Voltage stability eval-uation using modal analysis, IEEE Transactions on PowerSystems, 7(1), 1992, 1529–1542.
  2. [2] P.A. L¨of, T. Smed, G. Anderson, & D.H. Hill, Fast calculationof a voltage stability index, IEEE Transactions on PowerSystems, 6(1), 1992, 54–64.
  3. [3] P. Marannino, P. Bresesti, M. Delfanti, G.P. Granelli, & M.Montagna, Voltage collapse proximity indicators for very shortterm security assessment, Proc. of the Seminar Bulk PowerSystem Voltage Phenomena III-Voltage Stability and Security,Davos, Switzerland, edited by L.H. Fink, ECC Inc., Fairfax,VA, 1994, 421–429.
  4. [4] A. Tiranuchit & R.J. Thomas, A posturing strategy againstvoltage instability in electric power systems, IEEE Transactionson Power Systems, 3(1), 1988, 87–93.
  5. [5] A. Berizzi, P. Bresesti, P. Marannino, M. Montagna, S. Corsi,& G. Piccini, Security enhancement aspects in the reactive-voltage control, IEEE Stockholm Power Tech, Vol. on PowerSystem, Stockholm, June 1995, 674–679.
  6. [6] A. Berizzi, P. Finazzi, D. Dosi, P. Marannino, & S. Corsi, Firstand second order methods for voltage collapse assessment andsecurity enhancement, IEEE Transactions on Power Systems,13(2), 1998, 543–551.
  7. [7] B. Jacob, Linear algebra (New York: W.H. Freeman and Co.,1989)
  8. [8] C.A. Canizares, Discussion of linear indices and eigen-systemdecomposition, Proceedings of the Seminar: Bulk Power SystemVoltage Phenomena Voltage III – Stability Security and Control,Davos, Switzerland, 1994.
  9. [9] C. Lanczos, An iterative method for the solution of theeigenvalue problem of linear differential and integral operators,Journal of Research National Bureau of Standards, Section B,45, 1950, 255–282.
  10. [10] C.C. Paige, Error analysis of the Lanczos algorithm for tridi-agonalizing a symmetric matrix, Journal of the Institute ofMathematics and Its Application, 18, 1976, 341–349.
  11. [11] J.K. Cullum & R.A. Willoughby, Lanczos algorithms for largesymmetric eigenvalue computations – Volume I – Theory(Boston: Birkhauser, 1985).
  12. [12] C.A. Canizares, N. Mithulananthan, A. Berizzi, & J. Reeve,Linear profile indices to predict bifurcation points in non linearsystems, IEEE Transactions on Circuits and Systems – I:Fundamental theory and applications, 50(12), 2003.
  13. [13] A. Berizzi, Y.G. Zeng, R. Abbruzzetti, M. Delfanti, P. Maran-nino, & P.A. Scarpellini, Contingency screening and risk quan-tification related to voltage collapse in extended real time, IEEInternational Conference on Advances in Power System Con-trol, Operation & Management, Hong Kong, 1997, 176–181.

Important Links:

Go Back