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Title:Analysis of the influence of parameters when charging and discharging a capacitor using differential equations
Authors:ID Krašovic, Matic (Author)
ID Virtič, Peter (Author)
Files:.pdf Analysis_of_the_influence_of_parameters_Krasovic_2022.pdf (1,20 MB)
MD5: 75FA7843605704301104E102B42B47DB
URL https://www.fe.um.si/e-jet/45-2022/3737-september-2022.html
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:FE - Faculty of Energy Technology
Abstract:Two different electrical circuits were analysed in this paper. The first was an RC circuit consisting of a resistor R, a capacitor C, and a DC voltage u, while the second was an RLC circuit consisting of a resistor R, a capacitor C, a DC voltage u and an inductor L. Both circuits were described using the state space mathematical model and, on this basis, graphs for charging and discharging a capacitor were plotted. Both circuits were described using differential equations for electrical current through a capacitor and voltage over a capacitor. Finally, different values of the R (resistance), L (inductance) and C (capacitance) parameters were taken, and graphs were plotted for voltage over capacitor. The purpose of the study was to explore how different values of parameters influence capacitor charging and discharging.
Keywords:RC circuit, RLC circuit, state space, transfer function, differential equations, parameters R, L, C, damping
Publication status:Published
Publication version:Version of Record
Publication date:01.09.2022
Publisher:Fakulteta za energetiko Univerze v Mariboru
Year of publishing:2022
Number of pages:str. 65-79
Numbering:Letn. 15, Št. 2
PID:20.500.12556/DKUM-86244 New window
ISSN on article:1855-5748
COBISS.SI-ID:123471107 New window
Publication date in DKUM:30.10.2023
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Record is a part of a journal

Title:Journal of energy technology
Publisher:Fakulteta za energetiko
COBISS.SI-ID:243311360 New window

Secondary language

Title:Analiza vpliva parametrov pri polnjenju in praznjenju kondenzatorja z uporabo diferencialnih enačb
Abstract:V tem članku sta bili analizirani dve različni električni vezji. Prvo je bilo RC vezje, sestavljeno iz upora R, kondenzatorja C in enosmerne napetosti u. Drugo je bilo RLC vezje, ki je bilo podobno prejšnjemu vezju, le da je bila dodana tuljava L. Obe vezji sta bili pretvorjeni v matematični model v prostoru stanj in na podlagi tega so bili izrisani različni grafi za polnjenje in praznjenje kondenzatorja. Obe vezji sta opisani z diferencialnimi enačbami za električni tok skozi kondenzator in napetost na kondenzatorju. Na koncu so bile izbrane različne vrednosti parametrov R (upornosti), L (induktivnosti) in C (kapacitivnosti) in na podlagi tega so bili izrisani grafi za napetost na kondenzatorju. Namen je bil videti, kako različne vrednosti parametrov vplivajo na polnjenje in praznjenje kondenzatorja.
Keywords:RC vezje, RLC vezje, prostor stanj, prenosna funkcija, diferencialne enačbe, parametri R, L, C, dušenje


This document is a part of these collections:
  1. Journal of energy technology


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