The analysis of energy and magnetic processes in inductors switched-mode electrical energy converters

A. F. Kadatsky; A. P. Rusu

doi:10.15222/TKEA2016.6.17

A. F. Kadatsky Odesa National Academy of Telecommunications named after A. S. Popov, Odesа, Ukraine
A. P. Rusu Odesa National Academy of Telecommunications named after A. S. Popov, Odesа, Ukraine

DOI: https://doi.org/10.15222/TKEA2016.6.17

Keywords: pulse converter, AC/DC converter, magnetic circuit, magnetic flux/induction, recuperation

Abstract

The article presents the analysis of energy and magnetic processes in core of inductors switched-mode AC-AC and DC-DC converters. The mathematical model of energy and magnetic processes in core of inductors is obtained. The mathematical model is generalized to DC-DC and AC-AC converters, to most popular schemes of converters and to transfer, recuperation and idle modes. It is shown that the energy and magnetic processes in core of inductors are identical for DC-DC and AC-AC converters, for buck, boost, buck-boost and fly-back converters, and for transfer, recuperation and idle modes.
It is shown that energy processes in converters can be defined by parameters of magnetic flux of inductor core. It is shown that power of converter will be maximal, when value of ripple induction in core is equal the maximum allowable induction of core, and average value of induction in core is equal half of the maximum allowable induction of core. It is shown that maximum power of converter is proportional volume of inductor core.

References

Kobzev A.V., Lebedev Yu.M., Mikhailichenko G.Ya. et al. Stabilizatory peremennogo napryàzheniyà s vysokochastotnym shirotno-impul’snym regulirovaniem. [AC voltage stabilizers with high-frequency pulse-width regulation]. Moscow, Energoatomizdat, 1986, 152 p. (Rus)

Zinov’ev G.S. Silovayà elektronika [Power electronics]. Moscow, Yurayt, 2012, 667 p. (Rus)

Switching regulator GF-9000. http://gofer.ua/product/stabilizator/

Meleshin V.I. Tranzistornayà preobrazovatel’naya tekhnika [Transistor converter equipment]. Moscow, Tehnosfera, 2005, 632 p. (Rus)

Seddik Bacha, Iulian Munteanu, Antoneta Iuliana Bratcu. Power electronic converters modeling and control with case studies. London, Springer-Verlag, 2014, 454 p.

Dong-Keun Jeong, Myung-Hyo Ryu, Heung-Geun Kim, Hee-Je Kim. Optimized design of bi-directional dual active bridge converter for low-voltage battery charger. Journal of Power Electronics, 2014, vol. 14, no. 3, pp. 468-477.

Qin H., Kimball J. W. AC-AC dual active bridge converter for solid state transformer. Proc. IEEE Energy Convers. Congr. Exposition, 2009, pp. 3039-3044. http://dx.doi.org/10.1109/TIE.2012.2204710

Kadatsky A.F. [Harmonic analysis of electrical processes in multiphase switche-mode DC-DC converter with PWM regulation method]. Elektrichestvo, 1997, no. 3, pp. 35-41. (Rus)

Chaplygin E.E., Nguen KHoang An. [Spectral Model of a switched-mode converter with variable frequency]. Elektrichestvo, 2006, no. 4, pp. 39-46. (Rus)

Andriyànov A.I., Malakhanov A.A. [Mathematical modeling of dynamics switched-mode converter voltage boost type]. The Bryansk State University Herald, 2006, no. 1(9), pp. 61-69. (Rus)

Korshunov A. [The method for constructing continuous models of switched-mode DC-DC converters]. Components & Technologies, 2006, no. 8. (Rus)

Smol’nikov L.E. Tranzistornye preobrazovateli napryàzheniyà [The transistor converters of voltage]. Moscow, MEI, 1983, 632 p. (Rus)

Smol’nikov L.E., Smol’nikov V.L. [Influence factors and imperfection configuration elements on the control characteristics of PWM switched-mode DC-DC converters]. Sistemy i ustroistva elektropitaniyà radioelektronnoi apparatury, 1994, iss. 4, pp. 29-42. (Rus)

Kapustin I.V. [The development of an universal model of the boost converter, which describes all operating modes)]. Prakticheskayà silovayà elektronika, 2012, no. 3(47), pp. 30-34. (Rus)

Kapustin I.V., Kataev R.A., Blinov R.V. [The development of a generalized mathematical model buck converter for the discontinuous and continuous modes]. Prakticheskaya silovaya elektronika, 2013, no. 3(51), pp. 20–28. (Rus)

Kadatsky A.F., Rusu A.P. [The analysis of electrical processes in pulse converters of constant voltage with a pulse-width method of regulation]. Elektrichestvo, 2005, no. 9, pp. 43-54. (Rus)

Kadatsky A.F., Rusu A.P. [Mathematical model of electrical processes in pulse converters of constant voltage with a pulse-width method of regulation]. Proceedings of the O.S. Popov ONAT, 2004, no. 3, pp. 10-16. (Rus)

Kadatsky A.F., Rusu A.P. [Effective values currents of elements powered channels of pulse converters constant voltage with a pulse-width method of regulation]. Proceedings of the O.S. Popov ONAT, 2005, no. 1, pp. 11-17. (Rus)

Kadatsky À.F., Rusu A.P. [The analysis of energy processes in switched-mode AC-AC converters]. Tekhnologiya i Konstruirovanie v Elektronnoi Apparature, 2015, no. 1, pp. 22-32. http://dx.doi.org/10.15222/TKEA2015.1.22

Kadatsky A.F., Rusu A.P. [Analysis of construction principles and operation switched-mode power converters]. Prakticheskaya silovaya elektronika, 2016, no. 2(62), pp. 10–24. (Rus)

Irodov I.E. Osnovnye zakony elektromagnetizma [The basic laws of electromagnetism]. Moskow, Vysshaya shkola, 1991, 289 p.

Khnykov A.V. Teoriya i raschet transformatorov istochnikov vtorichnogo elektropitaniya [Theory and design of transformer secondary power sources]. Moskow, SOLONPress, 2004, 128 p.