A Study on Voltage Collapse Mechanism using Equivalent Mechanical Model

  • Published : 2002.03.01

Abstract

In this paper, an EMM(Equivalent Mechanical Model) Is developed to explain the voltage collapse mechanism by reflecting the effects of reactive powers. The proposed EMM exactly represents the voltage instability mechanism described by the system equations. By the use of the EMM model, the voltage collapse mechanism has been illustrated by showing the exactness of the results. The stable region has been investigated with a reactive-power-controlled two-bus system, which shows that special alerts are required when the system operates with leading power factor. It is also discussed a system transform technique to eliminate the resistance component of the Thevenin equivalent impedance for practical applications. Finally, the results adopting the proposed method fur sample systems which were transformed are listed

Keywords

References

  1. Venikov, V.A. Stroev, V.I. Idelchick and V.I. Tarasov, ' Estimation of Electric Power System Steady-state Stability in Load Flow Calculations,' IEEE Trans. on PAS, Vol. PAS-94, No.3, pp. 1034-1041, May 1975
  2. H.G. Kwatny, A.K.Pasrija and L.Y. Bahar, 'Static Bufurcations in Electric Power Networks: Loss of Steady-State Stability and Voltage Collapse,' IEEE Trans. on Power Systems, Vol.5, No.1, pp. 198-203, Feb. 1990
  3. Y. Tamura, H. Mori and S. Iwamoto, 'Relationship Between Voltage Instability and Multiple Load Flow Solutions in Electric Power Systems,', IEEE Trans. on Power Apparatus and Systems, Vol. PAS-102, No. 5, May 1983
  4. R.A. Schlueter, I. Hu, M.W. Chang and J.C. Lo, A Costi, 'Methods for Determining Proximity to Voltage Collapse,' IEEE Trans. on Power Systems, Vol.6, No.1, pp. 285-292, Feb. 1991
  5. B. Gao, G.K. Morison and P.O. Kundur, 'Voltage Stability Evaluation Using Modal Analysis,' IEEE Trans. on Power Systems, Vol. 7, No.4, November 1992
  6. N. Flatabe, R. Ognedal and T. Carlsen, 'Voltage Stability Condition in a Power Transmission System Calculated by Sensitivity Methods,' IEEE Trans. on Power Systems, Vol. 5, No.4, November 1990
  7. P.A. Lof, T. Smed, G. Anderson and D.J. Hill, 'Fast Calculation of a Voltage Stability Index,' IEEE Trans. on Power Systems, Vol. 7, No.1, February 1992
  8. Claudio A and Ca-nizares.l'On Bifurcation, Voltage Collapse and Load Modeling,' IEEE Trans. on Power Systems, Vol.10 ,No.1 pp. 512-522, Feb. 1995
  9. I.Dobson, H.D. Chiang, R.J. Thomas, J.S..Thorp and L.Fekih-Ahmed, 'On voltage collapse in electric power systems', IEEE Trans. on Power Systems, vol. 5, No 2, May. 1990, pp.601-611
  10. G. A Luders, 'Transient Stability of Multimachine Power Systems via the Direct Method of Lyapunov,' IEEE Trans. Power App.Syst., Vol. PAS-90, NO.1, p.23-35, JAN/FEB 1971
  11. Y.H. Moon, E.H. Lee and T.R. Roh, 'Development of an Energy function Reflecting the Transfer Conductance foe Direct Stability Analysis in Power Systems', lEE Proc.-Gener. Transm. Distrib., Vol. 144, No.5, pp. 503-509, 1997.9 https://doi.org/10.1049/ip-gtd:19971458
  12. Y.H. Moon, B.H. Cho, T.H. Rho and B.K. Choi, 'The Development of Equivalent System Technique for Deriving an Energy Function Reflecting Transfer Conductances,' IEEE Trans. on Power Systems, Vol.14, No.4, pp.1335-1341, November 1999 https://doi.org/10.1109/59.801893
  13. N. A. Tsolas, A Arapostathis and P. P. Varaiya,'A Structure Preserving Energy Function for Power System Transient Stability Analysis,' IEEE Trans. on Circuit and Systems, Vol. CAS-32, NO.lO, p.1041-1049, October 1985
  14. A. R. Bergen and D. J. Hill, 'A Structure Preserving Model for Power System Stability Analysis,' IEEE Trans. Power App. Syst., Vol. PAS-100, NO.1, p.25-33, January 1981
  15. C.L, DeMarco and T. J. Overbye, 'An Energy Based Security Measure for Assessing Vulnerability to Voltage Collapse, ' IEEE Trans. on Power Systems, Vol.5, No.2, pp. 419-426, May 1990
  16. T. J. Overbye and C. C. DeMarco, 'Improved Techniques for Power System Voltage Security Assessment Using Energy Methods, 'IEEE Trans. on Power System, Vol.6. NO.4, pp. 1446-1452, Dec 1991
  17. Y.H. Moon, 'A New Approach to Derive an Energy Integral for the Direct method of Stability Analysis in Power Systems,' Journal of Electrical Eng. and Information science, Vol.1, No.1, p.58-69, March, 1996
  18. Y.H. Moon and E.H. Lee, 'On the Identity of Static Voltage Stability Analysis Method in Power Systems,' IASTED International Conference, April 1995
  19. Y.H. Moon and E.H. Lee, 'Visualization of Voltage Collapse Mechanism by the Direct Method based on EMM,' IASTED/ISMM International Conference, April 1996
  20. Y.H. Moon, B.K. Choi and B.H. Cho, 'Estimation of Maximum Loadability in Power Systems By Using Elliptic Properties of P-e Curve' IEEE WM 99', p.677-682