Comparative analysis of the impedances of key radio engineering devices with PWM based on a linear model and a closed loop method

V.A. Filin; L. E. Bayjоnova; A.N. Golovin; V.A. Yurova

doi:10.18127/j00338486-202409-06

Comparative analysis of the impedances of key radio engineering devices with PWM based on a linear model and a closed loop method

V.A. Filin¹, L. E. Bayjоnova², A.N. Golovin³, V.A. Yurova⁴

research article UDC 621.375.026, 621.382 Pages: 67-77 doi.org/10.18127/j00338486-202409-06

^1,3 The Bonch-Bruevich St Petersburg State University of Telecommunications (St Petersburg, Russian Federation)
² Tashkent University of Information Technologies named after Muhammad al-Khwarizmi (Tashkent, Uzbekistan)
⁴ The Bonch-Bruevich St Petersburg State University of Telecommunications (St Petersburg, Russian Federation); North-Western State Medical University named after I.I. Mechnikov (St Petersburg, Russian Federation)

Keywords: Semiconductor transistor operation amplifier closed-loop dynamic devices with PWM input and output impedances sta-ble system interaction with external circuits Middlebrook stability criterion injection linear model closed loop method

Abstract

The problem of comparative analysis of the impedances of switching mode devices with negative feedback by two methods is considered. The use of a linear injection model is justified, on the basis of which analytical expressions of impedances in Laplace form are obtained. The results of numerical modeling and spectral analysis of processes in a closed dynamic system with PWM are presented, confirming the correctness of the analytical model in the frequency range not exceeding half the clock frequency.

Received: 29.07.2024
Approved after review: 12.07.2024
Accepted: 29.08.2024

How to cite

Филин В.А., Байжонова Л.Э., Головин А.Н., Юрова В.А. Сравнительный анализ импедансов ключевых радиотехнических устройств с широтно-импульсной модуляцией на основе линейной модели и метода замкнутого контура // Радиотехника. 2024. № 9. С. 67–77. DOI: https://doi.org/10.18127/j00338486-202409-06

References

Chetti P. Proektirovanie kljuchevyh istochnikov pitanija: Per. s angl. M.: Jenergoatomizdat. 1990 (in Russian).
Kobzev A.V., Mihal'chenko G.Ja., Andrianov A.I., Mihal'chenko S.G. Nelinejnaja dinamika poluprovodnikovyh preobrazovatelej. Tomsk: Tomskij gos. un-t sistem upravlenija i radiojelektroniki. 2007. 224 s. (in Russian).
Belov A.G. Teorija impul'snyh preobrazovatelej. Cheboksary. Izd-vo Chuvashskogo un-ta. 2016. 330 s. (in Russian).
Bitjukov V.K., Ivanov A.A., Mironov A.V., Mihnevich N.G., Perfil'ev V.S., Petrov V.A. Issledovanie harakteristik mikroshem istochnikov vtorichnogo jelektropitanija s nakachkoj zarjada. Radiotehnika. 2017. T. 81. № 2. S. 126–134 (in Russian).
Gelig A.H. O metode usrednenija v teorii ustojchivosti impul'snyh sistem. Vestnik Sankt-Peterburgskogo un-ta. Serija 1. 2009. Vyp. 3.
Dmitrikov V.F., Shushpanov D.V. Ustojchivost' i jelektromagnitnaja sovmestimost' ustrojstv i sistem jelektropitanija. M.: Gorjachaja linija - Telekom. 2018. 540 s. (in Russian).
Dmitrikov V.F., Shushpanov D.V. K voprosu ispol'zovanija emkostno-svjazannyh jelementov dlja ob#jasnenija vzaimnogo vlijanija jelektricheskih provodov. Radiotehnika. 2024. T. 88. № 1. S. 15-30. DOI: https://doi.org/10.18127/j00338486-202401-03 (in Russian).
Smirnov V.S. Zadachi analiza ustojchivosti impul'snyh raspredelennyh sistem jelektropitanija. Trudy uchebnyh zavedenij svjazi. SPb: SPbGUT. 2004. № 170. S. 102-112 (in Russian).
Smirnov V.S., Filin V. A. Chislennyj metod garmonicheskoj linearizacii zamknutyh nelinejnyh impul'snyh sistem s uchetom vysshih garmonik. Trudy uchebnyh zavedenij svjazi. SPb: SPbGUT. 2004. № 171. S. 183 (in Russian).
Filin V.A., Golovin A.N., Smirnov V.S., Jurova V.A. Shemotehnicheskoe reshenie i algoritm cifrovogo upravlenija processami dlja universal'nogo dvunapravlennogo tranzistornogo modulja kljuchevogo preobrazovatelja naprjazhenija. Radiotehnika. 2024. T. 88. № 6. S. 100−109. DOI: https://doi.org/10.18127/j00338486-202406-13 (in Russian)
Middlebrook R.D., Cuk S. A. General Unified Approach to Modeling Switching Converter Power Stages. International Journal of Electronics. IEEE Power Electronics Society Conference. 1976. 42(6). P. 521-525. DOI: https://doi.org/10.1080/00207217708900678.
Venable H.D. Practical Testing Techniques for Modern Control Loops. Venable Technical paper #16. URL: http://www.venable.biz/tp-16.pdf (data obrashhenija: 25.07.2024).
Venable H.D. Specify Gain and Phase Margins On All Your Loops. Venable Technical paper #2. URL: http://www.venable.biz/tp-02.pdf (data obrashhenija: 25.07.2024).
Venable H.D. Testing Power Sources for Stability: Proceedings. Power Sources Conference. 1984. URL: http://www.venable.biz/tp-01.pdf (data obrashhenija: 25.07.2024).
Nikitin Ju.A., Jurova V.A. Jelektronika i shemotehnika. Poluprovodnikovye diody: Ucheb. posobie. SPb: SPbGUT. 2022. 69 s. (data obrashhenija: 25.07.2024) (in Russian).
Oficial'nyj sajt programmy komp'juternogo modelirovanija jelektricheskih cepej FASTMEAN: sajt. Rossija. 2024. URL: http://www.fastmean.ru/rus/index.php (data obrashhenija: 25.07.2024) (in Russian).
Filin V.A., Yurova V.A. Symbolic analysis of linear amplifiers with multi-loop feedbacks in interacting programs maple and FASTMEAN. Proceedings of the Maple Conference 2021. 2022. V. 2. № 1. Article 14418. https://doi.org/10.5206/mt.v2i1.14418.

[1] Chetti P. Proektirovanie kljuchevyh istochnikov pitanija: Per. s angl. M.: Jenergoatomizdat. 1990 (in Russian).

[2] Kobzev A.V., Mihal'chenko G.Ja., Andrianov A.I., Mihal'chenko S.G. Nelinejnaja dinamika poluprovodnikovyh preobrazovatelej. Tomsk: Tomskij gos. un-t sistem upravlenija i radiojelektroniki. 2007. 224 s. (in Russian).

[3] Belov A.G. Teorija impul'snyh preobrazovatelej. Cheboksary. Izd-vo Chuvashskogo un-ta. 2016. 330 s. (in Russian).

[4] Bitjukov V.K., Ivanov A.A., Mironov A.V., Mihnevich N.G., Perfil'ev V.S., Petrov V.A. Issledovanie harakteristik mikroshem istochnikov vtorichnogo jelektropitanija s nakachkoj zarjada. Radiotehnika. 2017. T. 81. № 2. S. 126–134 (in Russian).

[5] Gelig A.H. O metode usrednenija v teorii ustojchivosti impul'snyh sistem. Vestnik Sankt-Peterburgskogo un-ta. Serija 1. 2009. Vyp. 3.

[6] Dmitrikov V.F., Shushpanov D.V. Ustojchivost' i jelektromagnitnaja sovmestimost' ustrojstv i sistem jelektropitanija. M.: Gorjachaja linija - Telekom. 2018. 540 s. (in Russian).

[7] Dmitrikov V.F., Shushpanov D.V. K voprosu ispol'zovanija emkostno-svjazannyh jelementov dlja ob#jasnenija vzaimnogo vlijanija jelektricheskih provodov. Radiotehnika. 2024. T. 88. № 1. S. 15-30. DOI: https://doi.org/10.18127/j00338486-202401-03 (in Russian).

[8] Smirnov V.S. Zadachi analiza ustojchivosti impul'snyh raspredelennyh sistem jelektropitanija. Trudy uchebnyh zavedenij svjazi. SPb: SPbGUT. 2004. № 170. S. 102-112 (in Russian).

[9] Smirnov V.S., Filin V. A. Chislennyj metod garmonicheskoj linearizacii zamknutyh nelinejnyh impul'snyh sistem s uchetom vysshih garmonik. Trudy uchebnyh zavedenij svjazi. SPb: SPbGUT. 2004. № 171. S. 183 (in Russian).

[10] Filin V.A., Golovin A.N., Smirnov V.S., Jurova V.A. Shemotehnicheskoe reshenie i algoritm cifrovogo upravlenija processami dlja universal'nogo dvunapravlennogo tranzistornogo modulja kljuchevogo preobrazovatelja naprjazhenija. Radiotehnika. 2024. T. 88. № 6. S. 100−109. DOI: https://doi.org/10.18127/j00338486-202406-13 (in Russian)

[11] Middlebrook R.D., Cuk S. A. General Unified Approach to Modeling Switching Converter Power Stages. International Journal of Electronics. IEEE Power Electronics Society Conference. 1976. 42(6). P. 521-525. DOI: https://doi.org/10.1080/00207217708900678.

[12] Venable H.D. Practical Testing Techniques for Modern Control Loops. Venable Technical paper #16. URL: http://www.venable.biz/tp-16.pdf (data obrashhenija: 25.07.2024).

[13] Venable H.D. Specify Gain and Phase Margins On All Your Loops. Venable Technical paper #2. URL: http://www.venable.biz/tp-02.pdf (data obrashhenija: 25.07.2024).

[14] Venable H.D. Testing Power Sources for Stability: Proceedings. Power Sources Conference. 1984. URL: http://www.venable.biz/tp-01.pdf (data obrashhenija: 25.07.2024).

[15] Nikitin Ju.A., Jurova V.A. Jelektronika i shemotehnika. Poluprovodnikovye diody: Ucheb. posobie. SPb: SPbGUT. 2022. 69 s. (data obrashhenija: 25.07.2024) (in Russian).

[16] Oficial'nyj sajt programmy komp'juternogo modelirovanija jelektricheskih cepej FASTMEAN: sajt. Rossija. 2024. URL: http://www.fastmean.ru/rus/index.php (data obrashhenija: 25.07.2024) (in Russian).

[17] Filin V.A., Yurova V.A. Symbolic analysis of linear amplifiers with multi-loop feedbacks in interacting programs maple and FASTMEAN. Proceedings of the Maple Conference 2021. 2022. V. 2. № 1. Article 14418. https://doi.org/10.5206/mt.v2i1.14418.

Abstract

How to cite

Related articles