Reduction and Equivalencing of Equations of Electrical Network based on Matrix Annihilators
This paper proposes an original method for the reduction of node voltage equations, aimed at equivalencing electrical network. The method is based on equivalent matrix transformations using matrix annihilators. The offered method, in comparison with the traditional one, makes it possible to improve the conditionality of the solved equations by an order of magnitude or more. This has a positive effect on the numerical stability of the resulting electrical network equivalents. The results of reduction of a small, large, and very large system of node voltage equations are presented
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