Conversion of matrixes of parameters and the analysis of circuits after closing and breaking of arbitrary number of branches
Journal Title: Вісник НТУУ КПІ. Серія Радіотехніка, Радіоапаратобудування - Year 2013, Vol 0, Issue 55
Abstract
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.
Authors and Affiliations
V. Stashuk
Experimental research electromagnetic field in a microstrip line by magnetic probe on the basis of a ferromagnetic resonance
The method of a magnetic probe on the basis of a ferromagnetic resonance for research of structure of an electromagnetic field in microstrip line is lead.
The optimization of QAM signals demodulator
Introduction. The processes of signal processing in the quadrature demodulator and the problem of clock synchronization and reference oscillations of quadrature basis providing are considered for a relatively high speed...
Solution of the problem of the deconvolution on condition of the optimization of the form of the resulting pulse characteristic
Offered methods of the carrying the algorithm to restorations on criterion of the form of the resulting pulse characteristic in Fourier domain
Uniting of one-dimensional optimal filtering outcomes for semicausal and noncausal processing of Gaussian uniform images
Linear algorithms of uniting of one-dimensional optimal filtering outcomes for semicausal and noncausal processing of Gaussian uniform images are synthesized. Designed algorithms are implemented in two stages. At the fir...
Influence of the directional coupler’s parameters on the characteristics of Butler matrix 4×4
Introduction. A brief description of the Butler matrix operating principle and structure is given. The purpose of the study is defined and justified. Mathematical model of Butler matrix. The overall scattering matrix of...