A new continuation power flow tool for investigating the nonlinear effects of transmission branch parameter variations

IEEE Transactions on Power Systems

Volumn 15, Issue 1, 2000, Pages 223-227

  Flueck, Alexander J ^a   Dondeti, Jayabharath R ^a  

^a Illinois Institute of Technology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; COMPUTER SIMULATION; ELECTRIC CONTROL EQUIPMENT; ELECTRIC IMPEDANCE; ELECTRIC POWER TRANSMISSION; NONLINEAR EQUATIONS; OUTAGES; SET THEORY;

BRANCH PARAMETERS; CONTINUATION POWER FLOW TOOL; NONLINEAR EFFECTS;

ELECTRIC LOAD FLOW;

EID: 0034138409     PISSN: 08858950     EISSN: None     Source Type: Journal    
DOI: 10.1109/59.852125     Document Type: Article

References (15)

1. I. P. Abbott, "An efficient algorithm for the determination of certain bifurcation points," Journal of Computational and Applied Mathematics, vol. 4, no. 1, pp. 19-27, 1978.
2. V. Ajjarapu and C. Christy, "The continuation power flow: A tool for steady slate voltage stability analysis," IEEE Trans, on Power Systems, vol. 7, no. 1, pp. 416-423, Feb. 1992.
3. E. L. Allgower and K. Georg, Numerical Continuation Methods. New York: Springer-Verlag, 1990.
4. C. A. Canizares and F. L. Alvarado, "Point of collapse and continuation methods for large AC/DC systems," IEEE Trans, on Power Systems, vol. 8, no. 1, pp. 1-8, Feb. 1993.
5. H.-D. Chiang, A. J. Flueck, K. S. Shah, and N. Bain, "CPKLOW: A practical tool for tracing power system steady state stationary behavior due to load and generation variations," IEEE Trans, tin Power Systems, vol. 10, no. 2, pp. 623-634, May 1995.
6. A. J. Flueck, "Advances in numerical analysis of nonlinear dynamical systems and the application to transfer capability of power systems," Ph.D. dissertation, Cornell University, Ilhaca, NY, Aug. 1996,
7. A. Griewank and G. W. Reddien, ''Characterization and computation of generalized turning points," SIAM Journal on Numerical Analysis, vol. 21, no. I, pp. 176-185, Feb. 1984.
8. H. B. Keller, "Numerical solution of bifurcation and nonlinear eigenvalue problems," in Applications of Bifurcatiim Theory. New York: Academic Press, 1977, pp. 359-384.
9. _, Numerical Methods in Bifurcation Problems. New York: Springer-Verlag, 1987.
10. R. G. Meinem and W.'C. Rheinboldt, "A comparison of methods for determining turning points of nonlinear equations," Computing, vol. 29, pp. 201-226, 1982.
11. G, Pönisch and H. Schwctlick, "Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter," Computing, vol. 26, pp. 107-121, 1981.
12. W. C. Rheinboldt, Numerical Analysis rf Parametrized Nan linear Equations. New York: John Wiley & Sons, 1986.
13. W. C. Rheinboldt and J. V. Burkardt, "A locally parameterized continuation process," ACM Transactions cm Mathematical Snjtwure, vol. 9, no. 2, pp. 215-235, June 1983.
14. R. Seydel, Frmn Equilibrium to Chaos: Practical Bifurcation und Stability Analysis. New York: Elscvier, 1988.
15. ]15] _, "Tutorial on continuation," International Jfiunal of Bifurcation and Chaos, vol. 1, no. 1, pp. 3-11, 1991.