DocumentCode :
1379795
Title :
A new direct matrix inversion method
Author :
Shipley, R. Bruce ; Coleman, Dorothy
Author_Institution :
Tennessee Valley Authority, Chattanooga, Tenn.
Volume :
78
Issue :
5
fYear :
1959
Firstpage :
568
Lastpage :
572
Abstract :
This paper describes a special-purpose matrix inversion technique developed in the System-Planning Branch of TVA (Tennessee Valley Authority). This is the first known use of the method. It is particularly applicable to the inversion of matrices that describe power system impedances or admittances. As outlined, the technique is not entirely general. It requires division by elements of the major diagonal. Thus, when the element is being used as a divisor, it must not be zero. Under such a condition the digital program changes the sequence of calculations. However, a zero in the final diagonal position to be used will cause the matrix to be considered singular. The technique can be made more general but this is not necessary for most power system work.
Keywords :
Educational institutions; Equations; Impedance; Matrix converters; Power systems; Resistance; Symmetric matrices;
fLanguage :
English
Journal_Title :
American Institute of Electrical Engineers, Part I: Communication and Electronics, Transactions of the
Publisher :
ieee
ISSN :
0097-2452
Type :
jour
DOI :
10.1109/TCE.1959.6372863
Filename :
6372863
Link To Document :
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