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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch Ukrainisch |
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National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine
2018
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| Online Zugang: | http://eie.khpi.edu.ua/article/view/2074-272X.2018.4.07 |
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| Назва журналу: | Electrical Engineering & Electromechanics |
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Electrical Engineering & Electromechanics| _version_ | 1856543311318220800 |
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| author | Boev, V. M. |
| author_facet | Boev, V. M. |
| author_sort | Boev, V. M. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-08-17T11:28:27Z |
| 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. |
| first_indexed | 2025-07-17T11:47:14Z |
| format | Article |
| id | eiekhpieduua-article-140267 |
| institution | Electrical Engineering & Electromechanics |
| language | English Ukrainian |
| last_indexed | 2025-07-17T11:47:14Z |
| publishDate | 2018 |
| publisher | National Technical University "Kharkiv Polytechnic Institute" and Аnatolii Pidhornyi Institute of Power Machines and Systems of NAS of Ukraine |
| record_format | ojs |
| 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 |
| 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 |
| title | 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 |
| 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_short | 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 |
| topic | transients Duhamel integral discontinuous functions 621.3.01 |
| topic_facet | transients Duhamel integral discontinuous functions 621.3.01 переходные процессы интеграл Дюамеля разрывные функции 621.3.01 |
| url | http://eie.khpi.edu.ua/article/view/2074-272X.2018.4.07 |
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