Transient analysis in 1st order electrical circuits in violation of commutation laws


Analiza stanów przejściowych w obwodach elektrycznych 1 rzędu z naruszeniem praw komutacji
Kukharchuk V.V. Pavlov S.V. Katsyv S.Sh. Koval A.M. Holodiuk V.S. Lysyi M.V. Kotyra A. Mamyrbaev O. Kalabayeva A.
2021Wydawnictwo SIGMA-NOT

Przeglad Elektrotechniczny
2021#2021Issue 926 - 29 pp.

The paper considers the usage of non-standard analysis mathematical apparatus to solve some non-trivial problems of electrical engineering theory. The axiomatics of non-standard analysis makes it possible to simplify the transient analysis in the 1st order electrical circuits in violation of the commutation laws. Examples of solving such problems are given.

Hyperreal number , Inductive electric circuit , Infinitely large number , Infinitesimal number , Non-standard number , Real number

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Vinnytsia National Technical University, Khmelnytsky highway, 95, Vinnytsia, 21000, Ukraine
Vinnytsia National Technical University, 93 Khmelnitsky Road, Vinnitsa, Ukraine
Lublin University of Technology, Poland
Institute of Information and Computational Technologies CS MES RK, Almaty, Kazakhstan
Kazakh Academy of Transport and Communication, Kazakhstan

Vinnytsia National Technical University
Vinnytsia National Technical University
Lublin University of Technology
Institute of Information and Computational Technologies CS MES RK
Kazakh Academy of Transport and Communication

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