Conversion of matrixes of parameters and the analysis of circuits after closing and breaking of arbitrary number of branches
DOI:
https://doi.org/10.20535/RADAP.2013.55.52-60Keywords:
analysis, electric scheme, modes of shorting and breaking, matrix of parametersAbstract
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.References
Литература
Сигорский В. П. Основы теории электронных схем / В. П. Сигорский, А. И. Петренко. – К. : Вища школа, 1971. – 568 с.
Сигорский В. П. Анализ электронных схем / В. П. Сигорский. – К. : Гос. Изд. Техн. Лит. УССР, 1964. – 199 с.
Атабеков Г. И. Теория линейных электрических цепей / Г. И. Атабеков. – М. : Сов. Радио, 1960. – 718 с.
Нейман Л. Р. Теоретические основы электротехники / Л. Р. Нейман, К. С. Де-мирчян. – Л. : Энергоиздат, 1981. – 536 с.
Сташук В. Д. Радіоелектронні кола і пристрої / В. Д. Сташук. – К. : Університет «Україна», 2007. – 357 с.
Сташук В. Д. Теорія і комп’ютерне моделювання радіоелектронних кіл / В. Д. Сташук. – К. : Університет «Україна», 2011. – 379 с.
Курош А. Г. Курс высшей алгебры / А. Г. Курош. – М. : Наука, 1975. – 432 с.
References
Sigorskij V. P., Petrenko A. I. (1971) Osnovy teorii jelektronnyh shem [Bases of the theory of electronic circuits]. Kiev, Vishha shkola Publ., 568 p.
Sigorskij V. P. (1964) Analiz jelektronnih shem [Analysis of electronic circuits]. Kiev, Gos. Izd. Tehn. Lit. USSR, 199 p.
Atabekov G. I. (1960) Teorija linejnyh jelektricheskih cepej [The theory of linear electrical circuits]. Moskow, Sov. Radio Publ., 718 p.
Nejman L. R., Demirchjan K. S. (1981) Teoreticheskie osnovy jelektrotehniki [Theoretical bases of electrical engineering]. Leningrad, Energoizdat Publ. 536 p.
Stashuk V. D. (2007) Radioelektronni kola i prystroi [Electronic circles and devices]. Kyiv, Universytet «Ukraina» Publ., 357 p.
Stashuk V. D. (2011) Teoriia i kompiuterne modeliuvannia radioelektronnykh kil [Theory and computer simulation of radio-electronic circuits]. Kyiv, Universytet «Ukraina» Publ., 379 p.
Kurosh A. G. (1975) Kurs vysshej algebry [Course of Higher Algebra]. Moskow, Nauka Publ., 432 p.
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