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 Matem. Mod., 2019, Volume 31, Number 3, Pages 69–82 (Mi mm4055)  Increase of efficiency of systems of modeling electronic circuits in the frequency domain

V. N. Gridina, V. I. Anisimovab

b Saint Petersburg State Electrotechnical University

Abstract: The methods of constructing mathematical models for the automation of circuit design are considered, in the process of which the calculation of the parameters and the structure of the circuit connections of the components of the developed electronic device, displayed by its graphic scheme, is realized. It is noted that among many problems of circuit design one of the main ones is modeling the frequency properties of electronic circuits in a certain frequency range, within which a multiple calculation of the frequency characteristics of the circuit is performed in order to determine the admissible or optimal values of the parameters of the components used in the designed electronic circuit. It is shown that two approaches to the solution of such a problem are possible. The first approach is based on the description of the simulated circuit by complex matrices at each frequency $f [kf]$ of a given frequency range with a preliminary calculation of the operator $s = (0.0, 2 * 3.14 * f [kf])$. A significant drawback of this approach is the need to form a mathematical description of all circuit components at each frequency. The second approach to solving the problem is based on the representation of the complex matrix of the scheme in the bilinear form $W = A + sB$, where $A$ and $B$ are real frequency-independent matrices. It is shown that the implementation of such an approach in a number of cases requires the presentation of the equations of frequency-dependent components in explicit form, which is permissible only when describing the scheme in coordinate bases for which this possibility is provided. A technique is proposed for describing simulated circuits in a modified basis of nodal potentials, which makes it possible to use both an explicit and an implicit form for specifying the component equations. It is shown that the bilinear form of the circuit description based on the modified basis significantly improves the efficiency of calculating the frequency characteristics, since at each frequency the invariant frequencyindependent matrix components of the circuit are used.

Keywords: systems for automation of circuit design, system modeling, bilinear form, modified basis of nodal potentials.

DOI: https://doi.org/10.1134/S0234087919030055  Full text: PDF file (328 kB) References: PDF file   HTML file

Revised: 21.05.2018
Accepted:10.09.2018

Citation: V. N. Gridin, V. I. Anisimov, “Increase of efficiency of systems of modeling electronic circuits in the frequency domain”, Matem. Mod., 31:3 (2019), 69–82 Citation in format AMSBIB
\Bibitem{GriAni19} \by V.~N.~Gridin, V.~I.~Anisimov \paper Increase of efficiency of systems of modeling electronic circuits in the frequency domain \jour Matem. Mod. \yr 2019 \vol 31 \issue 3 \pages 69--82 \mathnet{http://mi.mathnet.ru/mm4055} \crossref{https://doi.org/10.1134/S0234087919030055} \elib{https://elibrary.ru/item.asp?id=37180438} 

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