Calculation of Critical Loading Condition with Nose Curve Using Homotopy Continuation Method

IEEE Transactions on Power Systems

Volumn 6, Issue 2, 1991, Pages 584-593

  Iba, Kenji ^a   Suzuki, Hiroshi ^a   Egawa, Masanao ^b   Watanabe, Tsutomu ^b  

^a MITSUBISHI ELECTRIC CORPORATION   (Japan)

^b TOKYO ELECTRIC POWER COMPANY   (Japan)

Author keywords

Critical Loading Condition; Homotopy Continuation Method; Voltage Collapse; Voltage Instability

Indexed keywords

COMPUTER AIDED ANALYSIS; ELECTRIC POWER GENERATION; MATHEMATICAL TECHNIQUES - ITERATIVE METHODS;

CRITICAL LOADING CONDITION; HOMOTOPY CONTINUATION METHOD; NOSE CURVE; VOLTAGE COLLAPSE; VOLTAGE INSTABILITY;

ELECTRIC POWER SYSTEMS;

EID: 0026155667     PISSN: 08858950     EISSN: 15580679     Source Type: Journal    
DOI: 10.1109/59.76701     Document Type: Article

References (20)

1. F.D. Galiana, “Power-Voltage Limitations Imposed by the Network Structure of a Power System,” PICA'75, June 1975.
2. 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, pp.1115–1125, May 1983.
3. J.Carpentier, R.Girard and Scano, “Voltage Collapse Proximity Indicators Computed from an Optimal Power Flow,” Proc. of 8th PSCC, Helsinki, pp. 671–678, Sep. 1986.
4. K.P. Kessel and H. Glavitsch,“Estimating the Voltage Stability of a Power System,” IEEE Trans. on Power Delivery, Vol. PWRD-1, no.3, pp.346–351, July 1986.
5. R.J. Thomas and A.Tiranuchit,“Posturing Strategy Against Voltage Instabilities in Electric Power Systems,” IEEE Trans. on Power Systems, Vol.3, no.5, pp.87–93, Feb. 1988.
6. Y. Tamura, Y. Nakanishi and S. Iwamoto, “On the Multiple Solution Stricter, Singular Point and Existence Conditions of the Multiple Load Flow Solutions,” IEEE PES Winter Meeting, New York, Feb. 1980.
7. H.G. Kwatny, et al,“Static Bifurcations in Electric Power Networks : Loss of Steady State Stability and Voltage Collapse,” IEEE Trans. on Circuit and Systems, Vol.CAS-33, no. 10, pp.981–991, Oct. 1986.
8. C.L.Demarco,“A Large Deviations Model for Voltage Collapse,” Proc. of IEEE International Symposium on Circuits and Systems, San Jose, 1986.
9. H. D. Chiang et al, “On Voltage Collapse in Electric Power System,” IEEE PICA'89, 89CH2747-4, pp342–349, Seattle, May 1989.
10. Y. Sekine and H. Ohtsuki, “Cascaded Voltage Collapse,” IEEE PES Summer Meeting, 89SM710-5 PWRS July. 1989.
11. J. Medanic, M. Ilic-Spong and J.Christensen,” Discrete Model of Slow Voltage Dynamics for Under Load Tap Changing Transformer coordination,” IEEE Trans. on Power Systems, Vol.2, pp.873–882, Nov. 1987.
12. M.M. Begovic and A.G. Vadoke “Dynamic Simulation of Voltage Collapse,” IEEE PICA’89, 89CH2747-4, pp336–341, Seattle, May 1989.
13. A. Klos and A. Kerner, “The Non-Uniqueness of Load Flow Solutions, ” Proc. PSCC, Cambridge 1975.
14. Y. Tamura, K. Iba, S. Iwamoto, “A Method for Finding Multiple Load Flow Solutions For General Power System,“IEEE PES Winter Meeting, A80-043, New York 1980.
15. K. Iba,H. Suzuki, M.Egawa and T.Watanabe,“A Method for Finding A Pair of Multiple Load Flow Solutions in Bulk Power Systems,” IEEE PICA’89, 89CH2747-4,pp98–104, Seattle, 1989.
16. Fischl, et al.,” An Algorithm for Automatically Tuning the Weights of Performance Indices for Monitoring Power System Loading or Security,” IEEE Trans. on Power Systems, Vol.1, no.3, pp.207–213, Aug. 1986.
17. F.L. Alvalado and T.H. Jung,“Direct Detection of Voltage Collapse Conditions,” Proc. of Bulk Power System Voltage Phenomena, Missouri Sept. 1988
18. Y. Sekine, A. Yokoyama and T. Kumano,“A Method For Detecting a Critical State of Volltage Collapse,” Proc. of Bulk Power System Voltage Phenomena, Potosi Missouri Sept. 1988
19. A.Semlyen B.Gao, W.Janischewskyj,“Calculation of The Extreme Loading Condition of A Power System for The Assessment of Voltage Stability,” IEEE PES Winter Meeting 90WM039-8PWRS, Feb., 1990
20. J.C. Alexander and J.A. Yorke,“The Homotopy Continuation Method:Numerically implementable Topological Procedures,” Trans. American Mathematical Society,vol.242,pp271–284,1978