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Analysis of electrical circuits supplied by sequence of impulses

Zhivko Georgiev (Department of Theoretical Electrical Engineering, Faculty of Automatics, Technical University of Sofia, Sofia, Bulgaria)
Ivan Trushev (Department of Theoretical Electrical Engineering, Faculty of Automatics, Technical University of Sofia, Sofia, Bulgaria)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 13 July 2020

Issue publication date: 7 July 2021

194

Abstract

Purpose

This paper aims to analyze transient and steady state processes in series resistive capacitive-circuits when the supplied voltage is a sequence of periodic rectangular pulses. The purpose is to obtain an analytical formula for the capacitor voltage at any instant of time, both for the transient and the steady-state processes.

Design/methodology/approach

The main approach is to use a combination of differential and recurrence equations.

Findings

An analytical expression (formula) for obtaining the capacitor voltage at any instant of time has been found.

Originality/value

The results obtained are new. They are much more convenient to use than the results obtained by the Fourier series. The exposed approach can also be used in other circuits and other forms of the supplied voltage.

Keywords

Acknowledgements

The authors would like to thank the Research and Development Sector at the Technical University of Sofia for the financial support.

Citation

Georgiev, Z. and Trushev, I. (2021), "Analysis of electrical circuits supplied by sequence of impulses", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 40 No. 2, pp. 173-182. https://doi.org/10.1108/COMPEL-10-2019-0405

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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