The System Functions MAOPCs for Analysis and Optimization Of Linear Periodically Time-Variable Circuits Based on the Frequency Symbolic Method

Abstract

In this paper we considered the following provisions: the architecture of system functions MAOPCs and examples of its application to solve tasks of multivariate analysis of LPTV circuits based on the frequency symbolic method. The method is based on approximation of transfer functions of LPTV circuits in the form of trigonometric polynomials of the Fourier. The system functions MAOPCs is implemented in the environment of MATLAB Streszczenie. W pracy zaprezentowano układ funkcji do symbolicznej analizy i optymalizacji obwodów parametrycznych, zmiennych w czasie. Metoda jest oparta na aproksymacji transmitancji obwodu parametrycznego za pomocą trygonometrycznego wielomianu Fouriera. Zaproponowany zbiór funkcji jest zaimplementowany w środowisku programu MATLAB. (Metoda symboliczna analizy i optymalizacji obwodów parametrycznych, zmiennych w czasie).

On the adequacy of the frequency-symbolic method for linear parametric circuits analysis

“…From Table 2 it follows that the values in columns 2, 3, 4, and 5 differ slightly from each other, but the values of columns 2 and 6 coincide completely. These results, as well as the results of example 1, also prove the adequacy of the FS-method and the program MAOPCs for a symbolic analysis of parametric circuits developed by the team including the author of this paper [10].…”

An Actively Controlled Two-Terminal Network Implementing a Given Linear Nonconvolution-Type Immittance Operator

“…The previously known methods of analysis, such as the Frequency Symbolic Method [2][3][4][5] or the continuous-time stability analysis [6][7][8][9], have found applications for simulation and analysis of systems with variable parameters.…”