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Parametric Matrix Models of Parametric Circuits and Their Elements in Frequency Domain

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Abstract

In this paper it is proposed a new method of symbolic system of linear algebraic equations (SSLAE) generation describing a parametric circuit in frequency domain. The coefficients of the Fourier polynomials are used as unknown variables approximating the transfer functions of circuits in the symbolic form. Such transfer functions are the good basis for solution of the problems of multivariant analysis and optimization of radioelectronic devices which are modeled by circuits with time variable parameters. Increase of parametric circuit complication results in increase of generated SSLAE complication. It requires additional computation time not only for its solution but also for its generation. Proposed method decreases essentially the time for SSLAE generation time. The method of parametric models lies in representation of the circuits elements in form of some matrices of their parameters. For the circuit description we select the method of nodal voltages, hence, such matrices are conductivity matrices of the circuit elements which in case of usual rules for the circuit elements with constant parameters shape the conductivity matrix of SSLAE for parametric circuits in whole. There are represented the simulation results.

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Authors and Affiliations

  1. Lviv Polytechnic National University, Lviv, Ukraine

    Yuriy Shapovalov, Dariya Bachyk & Roman Romaniuk

  2. Queen’s University, Kingston, Canada

    Ivan Shapovalov

Authors
  1. Yuriy Shapovalov
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  2. Dariya Bachyk
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  3. Roman Romaniuk
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  4. Ivan Shapovalov
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Corresponding author

Correspondence to Yuriy Shapovalov.

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ADDITIONAL INFORMATION

Yuriy Shapovalov, Dariya Bachyk, Roman Romaniuk, and Ivan Shapovalov

The authors declare that they have no conflicts of interest.

This article does not contain any studies with human participants or animals performed by any of the authors.

The initial version of this paper in Russian is published in the journal “Izvestiya Vysshikh Uchebnykh Zavedenii. Radioelektronika,” ISSN 2307-6011 (Online), ISSN 0021-3470 (Print) on the link http://radio.kpi.ua/article/view/S0021347021080021 with DOI: https://doi.org/10.20535/S0021347021080021

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii. Radioelektronika, No. 8, pp. 476-488, July, 2021 https://doi.org/10.20535/S0021347021080021 .

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Shapovalov, Y., Bachyk, D., Romaniuk, R. et al. Parametric Matrix Models of Parametric Circuits and Their Elements in Frequency Domain. Radioelectron.Commun.Syst. 64, 413–425 (2021). https://doi.org/10.3103/S0735272721080021

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  • DOI: https://doi.org/10.3103/S0735272721080021

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