THE PROCEDURE OF OPTIMIZATION OF LINEAR PERIODICALLY TIME-VARIABLE CIRCUITS IN AN ENVIRONMENT UDF MAOPCs
Journal Title: Вісник Національного університету "Львівська політехніка", серія "Радіоелектроніка та телекомунікації" - Year 2017, Vol 874, Issue 2017
Abstract
The paper presents the procedure of optimization of linear periodically time-variable circuits based on the calculation of circuit parametric transfer functions by the frequency symbolic method. The parametric transfer function is approximated according to the frequency symbolic method by the Fourier trigonometric polynomial, in which some or all parameters of circuit elements are given by symbols. These parameters act as variables while performing procedures mentioned. The peculiarity of optimization consists in the fact that the previously the assessment of stability (asymptotic) of investigated linear periodically time-variable circuits circuit within the prescribed limits of changing parameters is carried out and the permissible areas of their change in which circuit is stable are determined. Exclusively in these areas optimization occurs. The assessment of circuit stability is carried out by the real parts of the denominator roots of a normal parametric transfer function, which also is defined by the frequency symbolic method in the form of approximation by the Fourier trigonometric polynomials. For the optimization of linear periodically time-variable circuits the general additive criterion of optimality is selected, which represents the sum of squared deviations of output characteristics from the technical requirements. This paper proposes the optimization procedure of the linear periodically time-variable circuit with two varied parameters of elements. The assessment of stability in this case is carried out by the denominator of the normal parametric transfer function. The results of this assessment are the areas of stability, whose limits are described mathematically, and which, being expressed in the form of inequalities, are the conditions for carried optimization. Performing the procedures of tolerance analysis and optimization of linear periodically time-variable circuits, while assessing the asymptotic stability, provides adequacy of the results and increases the efficiency of further design stages.
Authors and Affiliations
Yuriy Shapovalov, Daria Bachyk, Bohdan Mandziy
Keywords
Related Articles
- EP ID EP455513
- DOI -
- Views 153
- Downloads 0
RESEARCH OF THE FREQUENCY PLANNING METHODS FOR CELL NETWORKS BASED ON LTE AND GSM TECHNOLOGIES
Modern researches in field of mobile network depend on network infrastructure in a specific region. Nowadays, the actual issue is reforming of the existing frequency range for LTE deployment. The most common band is 900/...
OPTIMIZATION METHODS FOR TELECOMMUNICATIONS NETWORKS PHYSICAL AND LOGICAL STRUCTURES
The article deals with reasons why the planned network resource is not used completely. The main attention is paid to the dynamic routing protocol, which does not consider the current load of local network segments accor...
THE QUESTION OF LINE-WAVEGUIDE JUNCTION WITH CONDUCTING EXCITER ELEMENT OPTIMIZATION
The given paper is based on the line/waveguide junction synthesis algorithm. The recommended there calculation expressions satisfy the loss free and tuning conditions for junction unit. The corresponding calculation form...
ALGORITHMS FOR ROUTING AND QUALITY OF SERVICE MESSAGES MULTI-SERVICE NETWORK CONNECTION
This paper considers the options for combining routing algorithms in a single method for multiservice communication networks. For a comparative analysis of the quality of service communications multiservice communication...
TRANSFER FUNCTION SYNTHESIS FROM THE KNOWN FREQUENCY RESPONSE
The calculation of the coefficients of linear system transfer function with the lumped constant parameters which corresponds to the preset frequency response is present. Calculation of the transfer function on a given fr...