Use of middlebrook’s method in frequency analysis of power electronic circuits

Wojciech Mysiński; Natalia Pragłowska-Ryłko

Use of middlebrook’s method in frequency analysis of power electronic circuits

Publication date: 29.12.2016

Technical Transactions, 2016, Electronical Engineering Issue 3-E 2016, pp. 75 - 85

https://doi.org/10.4467/2353737XCT.16.267.6066

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Use of middlebrook’s method in frequency analysis of power electronic circuits

Abstract

Wykorzystanie metody middlebrook’a do analizy częstotliwościowej układów energoelektronicznych

W artykule przedstawiono metodę Middlebrook’a, która umożliwia otrzymanie charakterystyki częstotliwościowej, np. układów energoelektronicznych na podstawie analizy czasowej. Autorzy przeprowadzili badania symulacyjne w programie LTspice, aby sprawdzić zalety i wady tej metody. Wzięto pod uwagę kilka układów, takich jak filtr aktywny, obwód rezonansowy RLC oraz przekształtnik DC/DC obniżający napięcie z torem korekcyjnym. Zaletą metody Middlebrook’a jest możliwość wyznaczania charakterystyki amplitudowej i fazowej w przypadku obwodów nieliniowych w porównaniu do zwykłej metody .AC. Badania symulacyjne układów nieliniowych pokazują, że należy bardzo starannie dobrać wartości sygnału wymuszającego, aby uzyskać poprawne wyniki w metodzie Middlebrook’a.

The article presents Middlebrook’s method, which allows one to obtain the frequency analysis of power electronic circuits based on time analysis. The authors carried out their simulations in LTspice. The article discusses selected examples of circuits, such as an active filter, a resonant RLC circuit and a Buck-Converter with a correction circuit. An important advantage of Middlebrook’s method is that it allows for the determination of the amplitude and phase characteristics for nonlinear circuits, as opposed the common .AC method. Simulation tests of non-linear circuits indicate that, in order to obtain correct results using Middlebrook’s method, the values of input signals need to be selected very carefully

Keywords

Buck-Converter, Metoda Middlebrook’a, analiza częstotliwościowa, Buck-Converter ; Middlebrook’s method, AC analysis

Metoda Middlebrook’a, analiza częstotliwościowa, Buck-Converter

References

[1] Alonso G., Basic steps in generating a bode plot of SMPS, http://www.linear.com/solutions/4673 (access: 01.07.2016).

[2] Choi H., Practical Feedback Loop Design Considerations for Switched Mode Power Supplies, Fairchild Semiconductor Power Seminar, 2010, 1–14.

[3] Engelhardt M., Extracting Switch Mode Power Supply Loop Gain in Simulation and Why You Usually Don’t Need To, http://www.linear.com/solutions/4672 (access: 01.07.2016).

[4] Middlebrook R.D., Measurement of loop gain in feedback systems, Int. J. Electronics, vol. 38, 1975, 485–512.

[5] Paperno E., Simulating Return Ratio in Linear Feedback Networks by Middlebrook’s Method, 2012 http://www.ee.bgu.ac.il/~paperno/Lecture_notes_2012_2013/%20%28not%
20for%20exam%29%20Additional%20reading%20on%20feedback/Simulating%20return%20ratio.pdf (access: 01.07.2016).

[6] Pragłowska-Ryłko N., Mysiński W., Comparison of frequency analysis methods for correction circuits in Step-Down Converters, Poznan University of Technology Academic Journals, 2016, 323–332.

[7] Zhang Henry J., Modeling and Loop Compensation Design of Switching Mode Power Supplies, Linear Technology, Application Note 149, 2014.

Information

Information: Technical Transactions, 2016, Electronical Engineering Issue 3-E 2016, pp. 75 - 85

DOI: https://doi.org/10.4467/2353737XCT.16.267.6066

Article type: Original article

Titles:

Polish:

Use of middlebrook’s method in frequency analysis of power electronic circuits

English:

Use of middlebrook’s method in frequency analysis of power electronic circuits

Authors

Wojciech Mysiński

Natalia Pragłowska-Ryłko

Institute of Electrical Engineering and Computer Science, Cracow University of Technology

Published at: 29.12.2016

Article status: Open

Licence: None

Percentage share of authors:

Wojciech Mysiński (Author) - 50%

Natalia Pragłowska-Ryłko (Author) - 50%

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English

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