Instantaneous Switching Processes in Quasi-Linear Circuits

<p>The paper considers instantaneous processes in electrical circuits produced by the stepwise change of the capacitance of the capacitor and the inductance of the inductor and by the switching on and switching off of the circuit. In order to determine the set of electrical circuits, for which...

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Main Authors: Rositsa Angelova, Todor Gichev
Format: Article
Language:English
Published: VSB-Technical University of Ostrava 2004-01-01
Series:Advances in Electrical and Electronic Engineering
Subjects:
Online Access:http://advances.utc.sk/index.php/AEEE/article/view/414
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author Rositsa Angelova
Todor Gichev
author_facet Rositsa Angelova
Todor Gichev
author_sort Rositsa Angelova
collection DOAJ
description <p>The paper considers instantaneous processes in electrical circuits produced by the stepwise change of the capacitance of the capacitor and the inductance of the inductor and by the switching on and switching off of the circuit. In order to determine the set of electrical circuits, for which it is possible to explicitly obtain the values of the currents and the voltages at the end of the instantaneous process, a classification of the networks with nonlinear elements is introduced in the paper. The instantaneous switching process in the moment t0 is approximated when T-&gt;t0 with a sequence of processes in the interval [t0, T]. For quasi-linear inductive and capacitive circuits; we present the type of the system satisfied by the currents and the voltages, the charges, as well as the fluxes in the interval [t0, T]. From this system, after passage to the limit T-&gt;t0, we obtain the formulas for the values of the circuits at the end of the instantaneous process. The obtained results are applied for the analysis of particular processes.</p>
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spelling doaj.art-baaa893127dc42c695787bde1bb1a08d2023-05-14T20:50:07ZengVSB-Technical University of OstravaAdvances in Electrical and Electronic Engineering1336-13761804-31192004-01-0132197200458Instantaneous Switching Processes in Quasi-Linear CircuitsRositsa AngelovaTodor Gichev<p>The paper considers instantaneous processes in electrical circuits produced by the stepwise change of the capacitance of the capacitor and the inductance of the inductor and by the switching on and switching off of the circuit. In order to determine the set of electrical circuits, for which it is possible to explicitly obtain the values of the currents and the voltages at the end of the instantaneous process, a classification of the networks with nonlinear elements is introduced in the paper. The instantaneous switching process in the moment t0 is approximated when T-&gt;t0 with a sequence of processes in the interval [t0, T]. For quasi-linear inductive and capacitive circuits; we present the type of the system satisfied by the currents and the voltages, the charges, as well as the fluxes in the interval [t0, T]. From this system, after passage to the limit T-&gt;t0, we obtain the formulas for the values of the circuits at the end of the instantaneous process. The obtained results are applied for the analysis of particular processes.</p>http://advances.utc.sk/index.php/AEEE/article/view/414electrical circuitsnetworkssystemvoltagescapacitor.
spellingShingle Rositsa Angelova
Todor Gichev
Instantaneous Switching Processes in Quasi-Linear Circuits
Advances in Electrical and Electronic Engineering
electrical circuits
networks
system
voltages
capacitor.
title Instantaneous Switching Processes in Quasi-Linear Circuits
title_full Instantaneous Switching Processes in Quasi-Linear Circuits
title_fullStr Instantaneous Switching Processes in Quasi-Linear Circuits
title_full_unstemmed Instantaneous Switching Processes in Quasi-Linear Circuits
title_short Instantaneous Switching Processes in Quasi-Linear Circuits
title_sort instantaneous switching processes in quasi linear circuits
topic electrical circuits
networks
system
voltages
capacitor.
url http://advances.utc.sk/index.php/AEEE/article/view/414
work_keys_str_mv AT rositsaangelova instantaneousswitchingprocessesinquasilinearcircuits
AT todorgichev instantaneousswitchingprocessesinquasilinearcircuits