CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS

CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS

A technique for calculating transients using the Duhamel integral and discontinuous functions is presented. On specific examples, the procedure for calculating «incorrect» problems with respect to differential equations, compiled according to Kirchhoff laws, and using the Duhamel integral is present...

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Бібліографічні деталі
Дата:2018
Автор: Boev, V. M.
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 2018
Теми:
transients
Duhamel integral
discontinuous functions
621.3.01
Онлайн доступ:http://eie.khpi.edu.ua/article/view/2074-272X.2018.4.07
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Назва журналу:Electrical Engineering & Electromechanics

Репозитарії

Electrical Engineering & Electromechanics
id eiekhpieduua-article-140267
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spelling eiekhpieduua-article-1402672018-08-17T11:28:27Z CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS РАСЧЕТ ПЕРЕХОДНЫХ ПРОЦЕССОВ В ЭЛЕКТРИЧЕСКИХ ЦЕПЯХ С «НЕКОРРЕКТНЫМИ» НАЧАЛЬНЫМИ УСЛОВИЯМИ С ПОМОЩЬЮ ИНТЕГРАЛА ДЮАМЕЛЯ И РАЗРЫВНЫХ ФУНКЦИЙ Boev, V. M. transients Duhamel integral discontinuous functions 621.3.01 переходные процессы интеграл Дюамеля разрывные функции 621.3.01 A technique for calculating transients using the Duhamel integral and discontinuous functions is presented. On specific examples, the procedure for calculating «incorrect» problems with respect to differential equations, compiled according to Kirchhoff laws, and using the Duhamel integral is presented. In this case, the Kirchhoff law and the transition characteristic in the Duhamel integral are written using unitary discontinuous functions for the electrical circuit as a whole (before and after commutation). It is shown that the application of discontinuous functions for describing piecewise continuous input signals and switching in an electric circuit extends the domain of applicability of the Duhamel integral. Излагается методика расчета переходных процессов с использованием интеграла Дюамеля и разрывных функций. На конкретных примерах излагается порядок расчета «некорректных» задач по дифференциальным уравнениям, составляемым по законам Кирхгофа, и с помощью интеграла Дюамеля. При этом законы Кирхгофа и переходная характеристика в интеграле Дюамеля записываются с помощью единичных разрывных функций для электрической цепи в целом (до и после коммутации). Показано, что применение разрывных функций для описания кусочно-непрерывных входных сигналов и переключений в электрической цепи расширяет область применимости интеграла Дюамеля. National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine 2018-08-14 Article Article application/pdf application/pdf http://eie.khpi.edu.ua/article/view/2074-272X.2018.4.07 10.20998/2074-272X.2018.4.07 Electrical Engineering & Electromechanics; No. 4 (2018); 40-44 Электротехника и Электромеханика; № 4 (2018); 40-44 Електротехніка і Електромеханіка; № 4 (2018); 40-44 2309-3404 2074-272X en uk http://eie.khpi.edu.ua/article/view/2074-272X.2018.4.07/137686 http://eie.khpi.edu.ua/article/view/2074-272X.2018.4.07/137687 Copyright (c) 2018 V. M. Boev https://creativecommons.org/licenses/by-nc/4.0
institution Electrical Engineering & Electromechanics
baseUrl_str
datestamp_date 2018-08-17T11:28:27Z
collection OJS
language English
Ukrainian
topic transients
Duhamel integral
discontinuous functions
621.3.01
spellingShingle transients
Duhamel integral
discontinuous functions
621.3.01
Boev, V. M.
CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS
topic_facet transients
Duhamel integral
discontinuous functions
621.3.01
переходные процессы
интеграл Дюамеля
разрывные функции
621.3.01
format Article
author Boev, V. M.
author_facet Boev, V. M.
author_sort Boev, V. M.
title CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS
title_short CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS
title_full CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS
title_fullStr CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS
title_full_unstemmed CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS
title_sort calculation of transients in electrical circuits with «incorrect» initial conditions with the help of the duhamel integral and discontinuous functions
title_alt РАСЧЕТ ПЕРЕХОДНЫХ ПРОЦЕССОВ В ЭЛЕКТРИЧЕСКИХ ЦЕПЯХ С «НЕКОРРЕКТНЫМИ» НАЧАЛЬНЫМИ УСЛОВИЯМИ С ПОМОЩЬЮ ИНТЕГРАЛА ДЮАМЕЛЯ И РАЗРЫВНЫХ ФУНКЦИЙ
description A technique for calculating transients using the Duhamel integral and discontinuous functions is presented. On specific examples, the procedure for calculating «incorrect» problems with respect to differential equations, compiled according to Kirchhoff laws, and using the Duhamel integral is presented. In this case, the Kirchhoff law and the transition characteristic in the Duhamel integral are written using unitary discontinuous functions for the electrical circuit as a whole (before and after commutation). It is shown that the application of discontinuous functions for describing piecewise continuous input signals and switching in an electric circuit extends the domain of applicability of the Duhamel integral.
publisher National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine
publishDate 2018
url http://eie.khpi.edu.ua/article/view/2074-272X.2018.4.07
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first_indexed 2025-07-17T11:47:14Z
last_indexed 2025-07-17T11:47:14Z
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