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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Autor principal:	V. M. Boev
Formato:	article
Lenguaje:	EN RU UK
Publicado:	National Technical University "Kharkiv Polytechnic Institute" 2018
Materias:	transients Duhamel integral discontinuous functions Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/0277dab543d1444580585372c1d75c7d
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id	oai:doaj.org-article:0277dab543d1444580585372c1d75c7d
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spelling	oai:doaj.org-article:0277dab543d1444580585372c1d75c7d2021-12-02T18:09:44ZCALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS10.20998/2074-272X.2018.4.072074-272X2309-3404https://doaj.org/article/0277dab543d1444580585372c1d75c7d2018-08-01T00:00:00Zhttp://eie.khpi.edu.ua/article/view/2074-272X.2018.4.07/137686https://doaj.org/toc/2074-272Xhttps://doaj.org/toc/2309-3404A 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. V. M. BoevNational Technical University "Kharkiv Polytechnic Institute"articletransientsDuhamel integraldiscontinuous functionsElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENRUUKElectrical engineering & Electromechanics, Iss 4, Pp 40-44 (2018)
institution	DOAJ
collection	DOAJ
language	EN RU UK
topic	transients Duhamel integral discontinuous functions Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	transients Duhamel integral discontinuous functions Electrical engineering. Electronics. Nuclear engineering TK1-9971 V. M. Boev CALCULATION OF TRANSIENTS IN ELECTRICAL CIRCUITS WITH «INCORRECT» INITIAL CONDITIONS WITH THE HELP OF THE DUHAMEL INTEGRAL AND DISCONTINUOUS FUNCTIONS
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.
format	article
author	V. M. Boev
author_facet	V. M. Boev
author_sort	V. M. Boev
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
publisher	National Technical University "Kharkiv Polytechnic Institute"
publishDate	2018
url	https://doaj.org/article/0277dab543d1444580585372c1d75c7d
work_keys_str_mv	AT vmboev calculationoftransientsinelectricalcircuitswithincorrectinitialconditionswiththehelpoftheduhamelintegralanddiscontinuousfunctions
_version_	1718378611265765376

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

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