Solution of Large Sparse Systems by Ordered Triangular Factorization

IEEE Transactions on Automatic Control

Volumn 18, Issue 4, 1973, Pages 333-346

  Tinney, William F ^a   Meyer, W Scott ^a  

^a BONNEVILLE POWER ADMINISTRATION   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, OPTIMAL; ELECTRIC NETWORKS - COMPUTER AIDED ANALYSIS; STRUCTURAL DESIGN;

ELECTRIC POWER SYSTEMS;

EID: 0015652244     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1973.1100352     Document Type: Article

References (17)

1. D. J. Rose and R. A. Willoughby Ed., Sparse Matrices and Their Applications. New York: Plenum, 1972.
2. R. A. Willoughby Ed., in Proc. Symp. Sparse Matrices and Their Applications, IBM Watson Res. Cen., Yorktown Heights, N. Y., 1969.
3. A. Ralston, A First Course in Numerial Analysis. New York: McGraw-Hill, 1965.
4. G. E. Forsythe and C. B. Moler, Computer Solution of Linear Algebraic Systems. Englewood Cliffs, N.J.: Prentice-Hall, ch. 9, 12, 13.
5. W. F. Tinney and C. E. Hart, “Power flow solution by Newton's method,” IEEE Trans. Power App. Syst., vol. PAS-86, pp. 1449-1460, Nov. 1967.
6. H. W. Dommel and W. F. Tinney, “Optimal power flow solutions,” IEEE Trans. Power App. Syst., vol. PAS-87, pp. 1866-1876, Oct. 1968.
7. I. P. King, “An automatic reordering scheme for simultaneous equations derived from network systems,” Int. J. Num. Meth. Eng., vol. 2, pp. 523-533, 1970.
8. H. G. Jensen, “Efficient matrix techniques applied to transmission tower design,” Proc. IEEE, vol. 55, pp. 1997-2000, Nov. 1967.
9. H. W. Dommel and N. Sato, “Fast transient stability solutions,” IEEE Trans. Power App. Syst., vol. PAS-91, pp. 1643-1650, July/Aug. 1972.
10. O. I. Elgerd, Control Systems Theory. New York: McGraw-Hill, 1967.
11. R. K. Mehra and R. E. Davis, “A generalized gradient method for optima.1 control problems with inequality constraints and singular arcs,” IEEE Trans. Automat. Contr., vol. AC-17, pp. 69-79, Feb. 1972.
12. G. Hadley, Linear Programming. Reading, Mass.: Addison-Wesley, 1963.
13. H. M. Markowitz, “The elimination form of the inverse and its application to linear programming,” Manag. Sci., vol. 3, no. 3, pp. 255-269, 1957.
14. W. F. Tinney and J. W. Walker, “Direct solutions of sparse network equations by optimally ordered triangular factorization,” Proc. IEEE, vol. 55, pp. 1801-1809, Nov. 1967.
15. W. S. Meyer and V. D. Albertson, “Loss formula computation by optimal ordering techniques which exploit the sparsity of the network admittance matrix,” in 1969 Midwest Power Symp., Univ. Minnesota, Minneapolis, Oct. 23, 1969.
16. E-C. Ogbuobiri, W. F. Tinney, and J. W. Walker, “Sparsity directed decomposition for Gaussian elimination on matrices,” in Power Industry Computer Appl. Con}. Rec., 1967, pp. 215-225.
17. N. M. Peterson, W. P. Tinney, and D. W. Bree, “Iterative linear ae power flow solution for fast approximate outage studies,” presented at the 1972 Winter Power Meeting. Mr. Tinney is a Registered Professional Engineer in the State of Oregon.