Розширення можливостей системи програмних функцій MAOPCs-стосовно формування передавальних характеристик лінійних параметричних кіл

Abstract

Описано розширення можливостей системи MAOPCs стосовно обчислення передавальних функцій лінійних параметричних кіл, що являють собою відношення довільних напруг та струмів кола. Теоретичною основою обчислень для такого розширення вибрано табличний метод формування математичної моделі кола. The system program function MAOPCs is designed to study multivariate analysis and optimization of state linear periodically-time-variable circuits. The architecture of the system MAOPCs is based on the principles of softwareMatlab environment, which provides the existence of the independent the software functions and creating the user-defined functions, and because it is an open system, it allows you to supplement it with the new functions. These additions extend the functionality of the system MAOPCs, make its application more efficient for analysis, research or design of the electronic devices, that are modeled by the linear periodically-time-variable circuits. The mathematical software of the systemMAOPCs based on the frequency symbolic method, which allows us to calculate the conjugate parametric transfer functions of linear periodically-time-variable circuits. Such transfer functions linking the input signals with the output signals in the form of approximating polynomials of Fourier in trigonometric or complex form. By the same polynomials of Fourier are approximated the normal parametric transfer functions, which are the basis of assessment of the asymptotic stability of the circuit. The systemMAOPCs implements symbolic methods of calculation, because the conjugate and normal transfer functions usually contain a number of parameters of the elements, that are defined by characters. Substitution of the numerical values in place of the following characters is performed, usually, in the last stages of solving the relevant tasks of the device designing. The limitation of the system MAOPCs is that the current system functions can only determine the transfer functions, which are the ratio nodal voltage of the circuit acting on the circuit signals in the form of the current sources. The aim of this work is to expand the functional capabilities of the systemMAOPCs with respect to the computation of the transfer functions, that are representing random variables of the circuit, among which are the arbitrary node voltages of the circuit, and the arbitrary voltages and currents on the elements of this circuit. Theoretical calculations for such an expansion are using the tabular describing method of the mathematical model of the circuit.