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The National Academy of Sciences of Ukraine

The Institute of Electrodynamics

About Institute



Yu.V. Rudenko*
Institute of Electrodynamics of the National Academy of Sciences of Ukraine,
pr. Peremohy, 56, Kyiv, 03057, Ukraine,
e-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it

The fundamentals of the state-space averaging method using Lagrange's theorems for calculating dc semiconductor converters, which operate in modes of intermittent currents in inductive elements, are considered. To implement the assumption introduced in the study, it is proposed to replace the capacitor in the output circuits of the converter equivalent circuit with a source of constant emf. This makes it possible to obtain a simplified mathematical model of the converter for calculating the integral characteristics, which corresponds to a jointly defined system of algebraic equations with averaged variables. Using the developed models, the parameters of the buck, boost, and inverting converters are calculated, the analytical and graphic dependencies of the limiting values of these parameters are determined, which ensure the specified operating mode. The obtained dependencies make it possible to compare the properties of converters and select their effective parameters. References 10, figures 1, table 1.
Key words: methods for calculating and analyzing semiconductor converters, an averaging method in the state space, dc converters.

1. Rudenko Yu.V. Mode of averaging of pulse DC converter model. Tekhnichna Elektrodynamіka. 2017. No 3. Pp. 42-48. (Rus) DOI:
2. Rudenko Yu.V. Averaging of push-pull DC converter model. Tekhnichna Elektrodynamіka. 2018. No 1. Pp. 37-46. (Rus) DOI:
3. Rudenko Yu.V., Rudenko T.V. Averaging of model of the pulse converter with a second-degree circuit. Pratsi Instytutu elektrodynamiky Natsionalnoi Akademii Nauk Ukrainy. 2018. No 49. Pp.88-97. (Rus) DOI:
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6. Cuk S. Power electronics: Modelling, Analysis and Measurements. Vol. 2. Create Space Independent Publishing Platform, USA, 2015. 272 p. (Eng)
7. Makcimovich D., Stankovich A., Thottuvelil V., Verghese G. Modeling and Simulation of Power Electronic Converters. IEEE Proceedings, Vol. 89. No. 6. 2001. Pp. 898 - 912. (Eng) DOI:
8. Emadi A. Modeling and analysis of multiconverter DC power electronic systems using the generalized state-space averaging methods. IEEE Trans. Industrial Electronics. 2004. Vol.51. Issue 3. Pp. 661 - 668. (Eng) DOI:
9. Kadatsky A.F., Rusu A.P. Mathematical model of electric processes in pulsed DC converters with pulse-width method of regulation. Naukovi pratsi ONAZ im. O.S. Popova. 2004. No 3. Pp. 10-16.(Rus)
10. Meleshin V.I. Transistor conversion technique. Moskva: Tekhnosfera, 2006. 632 p. (Rus)

Received 06.10.2020