Continuation three-phase power flow: A tool for voltage stability analysis of unbalanced three-phase power systems

IEEE Transactions on Power Systems

Volumn 20, Issue 3, 2005, Pages 1320-1329

  Zhang, Xiao Ping ^a   Ju, Ping ^b   Handschin, Edmund ^c  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b HOHAI UNIVERSITY   (China)

^c TU DORTMUND UNIVERSITY   (Germany)

Author keywords

Continuation power flow; Power flow; PV curve; Three phase power flow; Voltage stability

Indexed keywords

ALGORITHMS; CONSTRAINT THEORY; ELECTRIC LOADS; ELECTRIC POTENTIAL; SYNCHRONOUS MACHINERY;

CONTINUATION POWER FLOW; THREE PHASE POWER FLOW; VOLTAGE STABILITY;

ELECTRIC POWER SYSTEMS;

EID: 24944561128     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPWRS.2005.851950     Document Type: Article

References (22)

1. Y. Mansour, Ed., Suggested Techniques for Voltage Stability Analysis: IEEE Power Engineering Society, 1993.
2. P. Kundur, Power System Stability and Control. New York: McGraw-Hill, 1994.
3. C. W. Taylor, Power System Voltage Stability. New York: McGraw-Hill, 1994.
4. T. Van Cutsem and C. Vournas, Voltage Stability of Electric Power Systems. Norwell, MA: Kluwer, 1998.
5. M. Huneault, A. Fahmideh-Vodani, M. Juman, and F. G. Galiana, "The continuation method in power system optimization: applications to economy security functions," IEEE Trans. Power App. Syst., vol. PAS-104, no. 1, pp. 114-124, 1985.
6. M. Huneault and F. G. Galiana, "An investigation of the solution to the optimal power flow problem incorporating continuation methods," IEEE Trans. Power Syst., vol. 5, no. 1, pp. 103-110, Feb. 1990.
7. K. Iba, H. Suzuki, M. Egawa, and T. Watanabe, "Calculation of critical loading condition with nose curve using homotopy continuation method," IEEE Trans. Power Syst., vol. 5, no. 1, pp. 103-110, Feb. 1990.
8. V. Ajjarapu and C. Christy, "The continuation power flow: a tool for steady state voltage stability analysis," IEEE Trans. Power Syst., vol. 7, no. 1, pp. 416-423, Feb. 1992.
9. C. A. Canizares and F. L. Alvarado, "Point of collapse and continuation methods for large ac/dc systems," IEEE Trans. Power Syst., vol. 8, no, 1, pp. 1-8, Feb. 1993.
10. H.-D. Chang, K. S. Shah, and N. Balu, "CPFLOW: A practical tool for tracing power system steady-state stationary behavior due to load and generation variations," IEEE Trans. Power Syst., vol. 10, no. 2, pp. 623-634, May 1995.
11. G. C. Ejebe, J. Tong, J. G. Waight, J. G. Frame, X. Wang, and W. F. Tinny, "Available transfer capability calculations," IEEE Trans. Power Syst., vol. 13, no. 4, pp. 1521-1527, Nov. 1998.
12. M. S. Chen and W. E. Dillon, "Power system modeling," Proc. IEEE, vol. 62, no. 7, pp. 901-915, Jul. 1974.
13. A. H. El-Abiad and D. C. Tarsi, "Load flow study of untransposed EHV networks," in Proc. IEEE Power Industry Computer Application (PICA) Conf., Pittsburgh, PA, 1967, pp. 337-384.
14. R. G. Wasley and M. A. Shlash, "Newton-Raphson algorithm for three phase load flow," Proc. Inst. Elect. Eng., vol. 121, no. 7, pp. 631-638, 1974.
15. K. A. Birt, J. J. Graf, J. D. McDonald, and A. H. El-Abiad, "Three phase power flow program," IEEE Trans. Power App. Syst., vol. PAS-95, no, 1, pp. 59-65, 1976.
16. J. Arrillaga and B. J. Harker, "Fast-decoupled three-phase load flow," Proc. Inst. Elect. Eng., vol. 125, no. 8, pp. 734-740, 1978.
17. M. A. Laughton and A. O. M. Saleh, "Unified phase coordinate load flow and fault analysis of polyphase networks," Int. J. Elect. Power and Energy Syst., vol. 2, no. 4, pp. 181-192, 1980.
18. B. K. Chen, M. S. Chen, R. R. Shoults, and C. C. Liang, "Hybrid three phase load flow," Proc. Inst. Elect. Eng., pt. C, vol. 137, no. 3, pp. 177-185, 1990.
19. X.-P. Zhang and H. Chen, "Asymmetrical three-phase load flow study based on symmetrical component theory," Proc. Inst. Elect. Eng. Gener., Transm., Distrib., vol. 143, no. 3, pp. 248-252, 1994.
20. X.-P. Zhang, "Fast three phase load flow methods," IEEE Trans. Power Syst., vol. 11, no. 3, pp. 1547-1554, Aug. 1996.
21. X.-P. Zhang, E. Handschin, and M. Yao, "Multi-control functional static synchronous compensator (STATCOM) in power system steady state operations," J. Elect. Power Syst. Res., vol. 72, no. 3, pp. 269-278, 2004.
22. W. F. Tinney, V. Brandvajn, and S. M. Chan, "Sparse vector methods," IEEE Trans. Power App. Syst., vol. PAS-104, no. 2, pp. 295-301, 1985.