Acceleration of exit to steady-state mode when modeling semiconductor converters

The purpose of the article is to develop a method and algorithm for the accelerated calculation of steady states of thyristor converters using computer models of converters based on the use of the theory of difference equations in the form of recurrent linear relationships for state variables on the...

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Бібліографічні деталі
Дата:2023
Автори: Yagup, V. G., Yagup, K. V.
Формат: Стаття
Мова:English
Ukrainian
Опубліковано: National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine 2023
Теми:
Онлайн доступ:http://eie.khpi.edu.ua/article/view/277578
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Назва журналу:Electrical Engineering & Electromechanics

Репозитарії

Electrical Engineering & Electromechanics
id eiekhpieduua-article-277578
record_format ojs
institution Electrical Engineering & Electromechanics
baseUrl_str
datestamp_date 2023-04-23T20:54:24Z
collection OJS
language English
Ukrainian
topic thyristor converter
state variables
difference equations
steady state
visual model
spellingShingle thyristor converter
state variables
difference equations
steady state
visual model
Yagup, V. G.
Yagup, K. V.
Acceleration of exit to steady-state mode when modeling semiconductor converters
topic_facet тиристорний перетворювач
змінні стану
різницеві рівняння
усталений режим
візуальна модель
thyristor converter
state variables
difference equations
steady state
visual model
format Article
author Yagup, V. G.
Yagup, K. V.
author_facet Yagup, V. G.
Yagup, K. V.
author_sort Yagup, V. G.
title Acceleration of exit to steady-state mode when modeling semiconductor converters
title_short Acceleration of exit to steady-state mode when modeling semiconductor converters
title_full Acceleration of exit to steady-state mode when modeling semiconductor converters
title_fullStr Acceleration of exit to steady-state mode when modeling semiconductor converters
title_full_unstemmed Acceleration of exit to steady-state mode when modeling semiconductor converters
title_sort acceleration of exit to steady-state mode when modeling semiconductor converters
title_alt Прискорення виходу на усталений режим при моделюванні напівпровідникових перетворювачів
description The purpose of the article is to develop a method and algorithm for the accelerated calculation of steady states of thyristor converters using computer models of converters based on the use of the theory of difference equations in the form of recurrent linear relationships for state variables on the boundaries of the converter periods. Methodology. The article is devoted to the solution of the problem of reducing the cost of computer time to achieve the steady state of the thyristor converter. For this, it is proposed to use difference equations, for which the values of the state variables at the limits of the periods of the converter's operation are taken as variables. These values are accumulated during the initial periods of the transient process of the converter, after which the coefficients of the difference equations are calculated, and the following limit values of the state variables are found using the defined difference equations. A program in the algorithmic language of the MATLAB system is presented, which implements the proposed method and algorithm compatible with the visual model of the converter. Results. The theoretical foundations of the proposed method and the area of its applicability are substantiated. Recommendations are presented for determining the number of periods of the flow process that must be calculated for further implementation of the method. An algorithm for forming matrix relations for determining the coefficients of difference equations with respect to the values of state variables at the boundaries of periods is shown. Matrix equations are given that allow calculating the parameters of the steady state. All stages of the algorithm are illustrated with numerical examples. Originality. The method rationally combines all the advantages of visual modeling based on the numerical integration of equations using the method of state variables for the periods of operation of the converter with the analytical solution of the recurrence relations obtained on this basis for the values of state variables at the boundaries of adjacent periods. Practical value. The proposed method makes it possible to reduce by several orders of magnitude the computer time spent on calculating the parameters of the steady-state mode of the converter and, at the same time, to significantly improve the accuracy of these calculations. The practical application of the method is very effective in research and design of thyristor converters of electrical energy parameters.
publisher National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine
publishDate 2023
url http://eie.khpi.edu.ua/article/view/277578
work_keys_str_mv AT yagupvg accelerationofexittosteadystatemodewhenmodelingsemiconductorconverters
AT yagupkv accelerationofexittosteadystatemodewhenmodelingsemiconductorconverters
AT yagupvg priskorennâvihodunaustalenijrežimprimodelûvannínapívprovídnikovihperetvorûvačív
AT yagupkv priskorennâvihodunaustalenijrežimprimodelûvannínapívprovídnikovihperetvorûvačív
first_indexed 2025-07-17T11:49:42Z
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spelling eiekhpieduua-article-2775782023-04-23T20:54:24Z Acceleration of exit to steady-state mode when modeling semiconductor converters Прискорення виходу на усталений режим при моделюванні напівпровідникових перетворювачів Yagup, V. G. Yagup, K. V. тиристорний перетворювач змінні стану різницеві рівняння усталений режим візуальна модель thyristor converter state variables difference equations steady state visual model The purpose of the article is to develop a method and algorithm for the accelerated calculation of steady states of thyristor converters using computer models of converters based on the use of the theory of difference equations in the form of recurrent linear relationships for state variables on the boundaries of the converter periods. Methodology. The article is devoted to the solution of the problem of reducing the cost of computer time to achieve the steady state of the thyristor converter. For this, it is proposed to use difference equations, for which the values of the state variables at the limits of the periods of the converter's operation are taken as variables. These values are accumulated during the initial periods of the transient process of the converter, after which the coefficients of the difference equations are calculated, and the following limit values of the state variables are found using the defined difference equations. A program in the algorithmic language of the MATLAB system is presented, which implements the proposed method and algorithm compatible with the visual model of the converter. Results. The theoretical foundations of the proposed method and the area of its applicability are substantiated. Recommendations are presented for determining the number of periods of the flow process that must be calculated for further implementation of the method. An algorithm for forming matrix relations for determining the coefficients of difference equations with respect to the values of state variables at the boundaries of periods is shown. Matrix equations are given that allow calculating the parameters of the steady state. All stages of the algorithm are illustrated with numerical examples. Originality. The method rationally combines all the advantages of visual modeling based on the numerical integration of equations using the method of state variables for the periods of operation of the converter with the analytical solution of the recurrence relations obtained on this basis for the values of state variables at the boundaries of adjacent periods. Practical value. The proposed method makes it possible to reduce by several orders of magnitude the computer time spent on calculating the parameters of the steady-state mode of the converter and, at the same time, to significantly improve the accuracy of these calculations. The practical application of the method is very effective in research and design of thyristor converters of electrical energy parameters. Стаття присвячена вирішенню проблеми зменшення витрат комп’ютерного часу для досягнення усталеного режиму тиристорного перетворювача. Для цього запропоновано використати різницеві рівняння, для яких в якості змінних приймаються значення змінних стану на межах періодів роботи перетворювача. Ці значення накопичуються на початкових періодах перехідного процесу перетворювача, після чого вираховуються коефіцієнти різницевих рівнянь, і наступні межові значення змінних стану знаходяться з використанням визначених різницевих рівнянь. Представлена програма на алгоритмічній мові системи MATLAB, яка реалізує запропоновані метод і алгоритм сумісно з візуальною моделлю перетворювача. National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine 2023-04-23 Article Article application/pdf application/pdf http://eie.khpi.edu.ua/article/view/277578 10.20998/2074-272X.2023.3.07 Electrical Engineering & Electromechanics; No. 3 (2023); 47-51 Электротехника и Электромеханика; № 3 (2023); 47-51 Електротехніка і Електромеханіка; № 3 (2023); 47-51 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/277578/272353 http://eie.khpi.edu.ua/article/view/277578/272354 Copyright (c) 2023 V. G. Yagup, K. V. Yagup http://creativecommons.org/licenses/by-nc/4.0