РОЗРАХУНОК ПЕРЕТВОРЮВАЧІВ ПОСТІЙНОЇ НАПРУГИ В РЕЖИМАХ ПЕРЕРИВЧАСТОЇ ПРОВІДНОСТІ З ВИКОРИСТАННЯМ МЕТОДА УСЕРЕДНЕННЯ НА ОСНОВІ ТЕОРЕМ ЛАГРАНЖА

Yu.V. Rudenko

doi:10.15407/techned2023.04.019

No. 4 (2023), Conversion of Electric Energy Parameters

No. 4 (2023)

Conversion of Electric Energy Parameters

CALCULATION OF DC CONVERTERS IN DISCONTINUOUS CONDUCTION MODE USING THE AVERAGING METHOD BASED ON LAGRANGE THEOREM

Published 2023-06-15

https://doi.org/10.15407/techned2023.04.019

Yu.V. Rudenko⁺⁻

Yu.V. Rudenko

Institute of Electrodynamics National Academy of Sciences of Ukraine, pr. Peremohy, 56, Kyiv, 03057, Ukraine

https://orcid.org/0000-0003-1852-215X

ARTICLE_3_PDF (Українська)

Keywords

dc converters
method of averaging in state space
Lagrange theorems перетворювачі постійної напруги
метод усереднення в просторі станів
теореми Лагранжа

How to Cite

[1]

Руденко, Ю. 2023. CALCULATION OF DC CONVERTERS IN DISCONTINUOUS CONDUCTION MODE USING THE AVERAGING METHOD BASED ON LAGRANGE THEOREM. Tekhnichna Elektrodynamika. 4 (Jun. 2023), 019. DOI:https://doi.org/10.15407/techned2023.04.019.

Abstract

The features of calculation of output voltage ripple in dc converters with discontinuous conduction modes are considered. It is shown that the use of behaviors of charge-discharge processes of the output capacitor makes it possible to determine the parameters of voltage ripple on it, using a mathematical model of the converter with variables averaged using Lagrange's theorems. The specified approach contributes to the significant simplification of calculations and reduction of their labor intensity. Analytical and graphical dependences of the ripple value and the ripple coefficient of output voltage of main circuits of the converters in the mode of discontinuous conduction - buck, boost and buck-boost types - were obtained. The developed analytical dependencies make it possible to effectively calculate the parameters of the converters and investigate their properties at the stage of their design, using available methods of mathematical analysis. The reliability of the obtained analytical ratios and calculation results was confirmed by simulation of converters using the PSim package. References 14, figures 4, tables 3.

https://doi.org/10.15407/techned2023.04.019

ARTICLE_3_PDF (Українська)

References

Cuk S., Middlebrook R.D. A general unified approach to modelling switching DC-DC converters in discontinuous conduction mode. IEEE Power Electronics Specialists Conference. Palo Alto, CA, USA, 14-16 June 1977. Pp. 36–57. DOI: https://doi.org/10.1109/PESC.1977.7070802.

Salimi M., Soltani J., Zakipour A., Abjadi N. Hyper-plane sliding mode control of the DC–DC buck/boost converter in continuous and discontinuous conduction modes of operation. IET Power Electronics. 2015. Issue 8. Pp. 1473–1482. DOI: https://doi.org/10.1049/iet-pel.2014.0578

Wang L., Wu Q.H., Tang W.H., Yu Z.Y., Ma W. CCM-DCM average current control for both continuous and discontinuous conduction modes boost PFC converters. IEEE Electrical Power and Energy Conference (EPEC). Saskatoon, SK, Canada, 22-25 October 2017. Pp. 1–6. DOI: https://doi.org/10.1109/EPEC.2017.8286149.

Roy J., Gupta A., Ayyanar R. Discontinuous Conduction Mode Analysis of High Gain Extended-Duty-Ratio Boost Converter. IEEE Open Journal of the Industrial Electronics Society. 2021. Vol. 2. Pp. 372–387. DOI: https://doi.org/10.1109/OJIES.2021.3077982.

Murillo-Yarce D., Restrepo C., Lamar D.G., Sebastián J. A General Method to Study Multiple Discontinuous Conduction Modes in DC–DC Converters With One Transistor and Its Application to the Versatile Buck–Boost Converter. IEEE Transactions on Power Electronics. 2022. Vol. 37. No 11. Pp. 13030–13046. DOI: https://doi.org/10.1109/TPEL.2022.3187963.

Mohan N., Undeland T.M., Robbins W.P. Power Electronics. John Wiley & Sons Inc., 2003. 802 p.

Kazimierczuk M.K. Pulse-width modulated DC-DC power converters. Chichester: John Wiley & Sons, 2008. 782 p. DOI: https://doi.org/10.1002/9780470694640

Cuk S. Power electronics: Modelling, Analysis and Measurements. Vol. 2. Create Space Independent Publishing Platform, USA, 2015. 272 p.

Kazimierczuk M.K. Pulse-Width Modulated DC-DC Power Converters. John Wiley&Sons, 2016. 960 p.

Zhuikov V.Ya., Denisyuk S.P., Melnichuk G.V. Modeling of systems with power converters with cyclically changing parameters. Kyiv: Nash Format, 2018. 165 p. (Ukr)

Rudenko Yu.V. Mode of averaging of pulse DC converter model. Tekhnichna Elektrodynamіka. 2017. No 3. Pp. 42-48. (Rus) DOI: https://doi.org/10.15407/techned2017.03.042.

Rudenko Yu.V. Averaging of push-pull DC converter model. Tekhnichna Elektrodynamіka. 2018. No 1. Pp. 37–46. (Rus) DOI: https://doi.org/10.15407/techned2018.01.037.

Rudenko Yu.V., Shcherba A.A. Analysis of multi-interval processes in semiconductor converters. Kyiv: Pro Format, 2020. 352 p. (Ukr). DOI: https://doi.org/10.15407/publishing2020.56.064

Rudenko Yu.V. Application of the average method for analysis of DC voltage converters with interrupted currents in inductive elements. Pratsi Instytutu elektrodynamiky Natsionalnoi Akademii Nauk Ukrainy. 2020. Vyp. 57. Pp. 55–64. (Ukr) DOI: https://doi.org/10.15407/publishing2020.57.055.