COMPARATIVE ANALYSIS OF ANALYTICAL CALCULATIONS AND COMPUTER SIMULATION OF TRANSIENT PROCESSES IN LINEAR ELECTRICAL CIRCUITS
DOI:
https://doi.org/10.30890/2567-5273.2025-42-01-083Keywords:
transient processes, linear electrical circuits, Duhamel integral, piecewise linear voltage, simulation, Multisim Live.Abstract
The article studies transient processes in linear electrical circuits excited by piecewise linear voltage sources. Analytical calculations performed on the basis of the Duhamel convolution integral are compared with the results of computer simulation perReferences
Kubryk, B.I., Hetman, A.V., Borysenko, A.M. and Lytvynenko, S.A. (2023) Analiz perekhidnykh protsesiv u liniinykh elektrychnykh kolakh: navchalnyi posibnyk dlia studentiv elektrotekhnichnykh ta kompiuternykh spetsialnostei. Kharkiv: NTU “KhPI”. ISBN 978-617-05-0528-6. Available at: https://publish.khpi.edu.ua/catalog/book/660 (Accessed: 23 December 2025).
Karpov, Y.O., et al. (2012) Teoretychni osnovy elektrotekhniky. Perekhidni protsesy v liniinykh kolakh. Syntes liniinykh kil. Elektrychni ta mahnetni nelineini kola. Edited by Y.O. Karpov. Vinnytsia: VNTU. Available at: https://jetiq.vntu.edu.ua/fdb/671/Books/TOE_II_(1).pdf (Accessed: 26 April 2025).
Rybalko, M.P., Esaulenko, V.O. and Kostenko, V.I. (2003) Teoretychni osnovy elektrotekhniky. Liniini elektrychni kola. Donets’k: Novyi svit.
Kosenkov, V.D., Pasternak, L.V. & Skubiy, L.V. (2011) ‘Osoblyvosti zastosuvannya integraliv Dyuamela pry analizі perekhіdnykh protsesіv v elektrychnykh kolakh’, Visnyk Khmelnytskoho natsionalnoho universytetu. Tekhnichni nauky, (3), pp. 205–208. Available at: Khmelnytskyi National University Repository.
Różański M., Sikora B., Smuda A. and Wituła R. (2021) ‘On theoretical and practical aspects of Duhamel’s integral’. Archives of Control Sciences, 31(4), pp. 815–847. https://doi.org/10.24425/acs.2021.139732.
Torbus S. A. and Szyszkowska P. (2023) ‘Application of Duhamel’s convolution integral in computer measurement systems’. Mathematical Methods in the Applied Sciences. Available at: https://doi.org/10.1002/mma.9195 (Accessed: 23 December 2025).
Boev, V.M. (2002) ‘Ispol’zovanie razryvnykh funktsii dlya rascheta perekhodnykh protsessov i impul’snykh vozdeistvii v lineinykh elektricheskikh tsepyakh. 1. Perekhodnye protsessy’. Elektronnoe Modelirovanie, 24(6), pp. 67–79.
Boev, V.M. (2003) ‘Ispol’zovanie razryvnykh funktsii dlya rascheta perekhodnykh protsessov i impul’snykh vozdeistvii v lineinykh elektricheskikh tsepyakh. 2. Impul’snye vozdeistviya’. Elektronnoe Modelirovanie, 25(1), pp. 83–97.
Boev, V.M. (2018) ‘Calculation of transients in electrical circuits with “incorrect” initial conditions with the help of the Duhamel integral and discontinuous functions’. Electrical Engineering & Electromechanics, (4), pp. 40–44. doi:10.20998/2074-272X.2018.4.07. Available at: Kharkiv Polytechnic Institute Journal Archive.
Maievskyi, D.A. (2025) [Teoretychni osnovy elektrotekhniky]. Lektsiia M093-01. Modeliuvannia impulsnykh perekhidnykh protsesiv. Dzherela impulsnoi napruhy v Multisim. [Video]. YouTube. 1 May. Available at: https://www.youtube.com/watch?v=bYkosnwLva0 (Accessed: 23 December 2025).
National Instruments (2025) Multisim Live: Online circuit simulation tool. Available at: https://www.multisim.com/ (Accessed: 23 December 2025).
OpenAI (2025) ChatGPT. Available at: https://chat.openai.com/ (Accessed: 23 December 2025).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Authors
This work is licensed under a Creative Commons Attribution 4.0 International License.
