Conversion of matrixes of parameters and the analysis of circuits after closing and breaking of arbitrary number of branches


  • V. D. Stashuk University "Ukraine"



analysis, electric scheme, modes of shorting and breaking, matrix of parameters


The theorem which allows to define the magnitude order of determinant at which value of arbitrary quantity of elements grows infinitely is proved. The method of the analysis of electric circuits after closing and breaking of arbitrary quantity of branches is developed, using only one of matrixes of parameters (conductivities or resistance) the initial circuit. Circuit analysis examples after closing of branch are given, using a matrix of conductivities of the initial circuit. Generally when closing arbitrary number of nodal couples theorem application also allows to find potentials of all nodes and currents of all branches, closed branches inclusively. For this purpose it is necessary to the appropriate elements of determinant on which required values are calculated, to add with a due sign of value of y and to pass to a limit, having applied the theorem. If the matrix of Z - parameters of the initial circuit is set, it is possible to receive dual results, using the proved theorem.

Author Biography

V. D. Stashuk, University "Ukraine"

Cand. of Sci (Techn), Assoc. Prof.



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How to Cite

Сташук, В. Д. (2013) “Conversion of matrixes of parameters and the analysis of circuits after closing and breaking of arbitrary number of branches”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(55), pp. 52-60. doi: 10.20535/RADAP.2013.55.52-60.



Radio Circuits and Signals