Some methods for quickly determining the terms of the conductance matrix [G]

Konferenz: ISTET 2009 - VXV International Symposium on Theoretical Engineering
22.06.2009 - 24.06.2009 in Lübeck, Germany

Tagungsband: ISTET 2009

Seiten: 5Sprache: EnglischTyp: PDF

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Digregorio, Cesaria; Lattanzi, Dario; Labini, Marcello Sylos; Labini, Paolo Sylos (Polytechnics of Bari, Italy)

This paper firstly shows the possibility of determining the terms of the conductance matrix [G] by applying Cramer’s rule. Then, some new methods for determining the terms of [G] are given. The first one calculates [G] by means of the inversion of the matrix of the coefficients of the system based on Kirchhoff’s laws; the second one determines [G] per columns by an “ad hoc” algorithm based on the Gaussian Elimination. The last method finds the new terms Gjj of the circuit under consideration when a branch i of the circuit is removed.