The system maopcs for the multivariate analysis and optimization of linear parametric circuits at the enviroment of matlab

Автори: 
Yu.I. Shapovalov, D.R. Bachyk, S.V. Mankovskyy

Lviv Polytechnic National University

This paper considers the software realization the system of functions MAOPCs (Multivariate Analysis and Optimization of the Parametric Circuits) for multivariate analysis and optimization of linear parametric circuits based on frequency symbolic method. This method is based on the formation of the approximated transfer functions of linear parametric circuits in the form of Fourier trigonometric polynomials. The use of symbolic transfer functions allowed to form functions of sensitivity of linear parametric circuits, which, in turn, allowed to calculate the relative deviations of functions of linear parametric circuits at change of their parameters. The further development of frequency symbolic methods allowed to solve the task of multivariate analysis and optimization.
The system of functions MAOPCs realized in the environment of MATLAB. The presence of powerful mathematical symbolic apparatus in MATLAB allowed to realize this system. The system MAOPCs represents a 17 functions, each of which has parameters (input data) and arguments and performs over them defined the conversions. The results obtained during the execution of one function (in some cases of several functions) can be parameters to other functions. Thus, based on of the developed system of functions the user can create algorithms and programs of computer computational experiments for multivariate analysis and optimization of parametric circuit, which we investigate.
For research of linear parametric circuits in the environment of MATLAB, using a system MAOPCs, need perform the system requirements. They are consist in the fact that, necessary to create the file  with text of program of research of circuit , where indicate: parameters that carry information about the circuit, accuracy of calculations, location to save the results, the parameters of functions, functions MAOPCs in the sequence that corresponds to the algorithm of carrying out of investigation. After it is necessary execute the file in the environment of MATLAB. Research results are saved in another file. These results together with the intermediate data we can view using MATLAB, which will be displayed in working window.
The example of research of single-circuit parametric amplifier using the system of functions MAOPCs is presented. In the task on research are described an algorithm of carrying out of experiment. The fragments (screenshots) of file, where describes the parameters and algorithm research are presented and fragment (screenshot) with reflection of results in working window of MATLAB also is presented.
Conclusions are drawn about what system functions MAOPCs allows you to:
- compose an algorithm and a program of carrying out of computational experiments  of research of linear parametric circuits without delving into the depths of mathematical apparatus of the realized methods and using the powerful symbolic apparatus and other internal functions in MATLAB in full;
- locate functions in any order and replenish her new functions.