Abstract

A procedure for developing visual mathematical models of multichannel electrotechnical complexes which reduces time of synthesis of mathematical models and error likelihood was developed. The procedure includes two stages: representation of an electrotechnical complex in a form of a structure of the energy path and its transformation into a visual-block model. Representation of the system in a form of a structure of energy paths is based on the principle of system decomposition proposed by the authors which involves definition of six types of structural elements in the power conversion structure: source and receiver, distributor and consolidator, converter and energy storage. The principle of decomposition allows one to create a library of models of subblock, components of the visual-block model and introduce unification of the subblock designation. To illustrate the proposed procedure, an example of building a visual model of a DC drive for a rolling mill roll and its implementation on a personal computer were considered. A fragment of the library of components of the visual-block model with a mathematical description of the components included in the considered example was given. The introduced unification creates conditions for effective work of developers in elaboration of this procedure of model synthesis in terms of formation of a library of subblocs. In addition, unification of the form of representation of the library of components creates conditions for effective communication of researchers and developers within the frames of complex integrated projects. The model at the stage of developing structure of energy paths is a convenient tool for visualizing system operation and contributes to understanding of its functioning. The form of the obtained mathematical model is convenient for its further transformation into a model in variables of state which, in turn, is the starting point for synthesis of control systems

Highlights

  • Synthesis of a mathematical model of an electrotechnical complex is one of the important stages when creating it

  • It should be noted that according to experts [1], the procedure of synthesis of a mathematical model averages 80–90 % of the labor input in designing control systems

  • It can be concluded from an analysis of the published data that there is an urgent problem to create more advanced procedures for synthesizing mathematical models of electrotechnical complexes

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Summary

Introduction

Synthesis of a mathematical model of an electrotechnical complex is one of the important stages when creating it. Synthesis is used as a tool to verify effectiveness and operational capability of technical solutions for power equipment and as a basis for the procedure of control system synthesis where electrical equipment acts as a control object Regarding the latter case, it should be noted that according to experts [1], the procedure of synthesis of a mathematical model averages 80–90 % of the labor input in designing control systems. The aggregate approach to decomposition has an undoubted advantage since it reflects real structural units that the developer uses. This approach does not reflect the structure of energy paths and does not make it possible to analyze energy flows passing in electrotechnical complexes. The relevance of this problem becomes apparent when electrotechnical complex is a branched structure for conversion and transmission of energy

Literature review and problem statement
The aim and objectives of the study
General principles of constructing a mathematical model
The library of the visual-block model elements
Implementation of a simulation model on a PC
Findings
A procedure for synthesis of mathematical models of
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