Parametric matrix models of parametric circuits and their elements in frequency domain


  • Yuriy Shapovalov Lviv Polytechnic National University, Lviv, Ukraine
  • Dariya Bachyk Lviv Polytechnic National University, Lviv, Ukraine
  • Roman Romaniuk Lviv Polytechnic National University, Lviv, Ukraine
  • Ivan Shapovalov Queen’s University, Kingston, Canada



parametric circuit, frequency symbolic method, parametric matrix model


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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Parametric circuit with L





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