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Calculating boundaries for the natural voltage balancing time-constant of the constant duty cycle single leg flying capacitor converter

Wim Van der Merwe, Hendrik du Toit Mouton and Steven Thielemans UGent (2012) COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING. 31(6). p.1603-1624
abstract
Purpose - The flying capacitor converter (FFC) balances the clamping capacitor voltages naturally when phase shifted carrier modulation is used. Several models that describe this mechanism, and to estimate the time constants following a perturbation, are discussed in the literature. However, due to the model complexity, numerical methods must be used to evaluate these models. This paper aims to present a closed form expression, using a reference table, that describes a maximum bound for the voltage balancing time constant. Design/methodology/approach - The FCC is analysed in the frequency domain. A decomposition of the characteristic matrix that describes the voltage balancing mechanism is used. The resulting real symmetric matrix is factorised by using approximations of the load characteristics at the frequencies of interest. Findings - The minimum eigenvalue of the factorised matrix is used to determine a maximum bound for the time constant of the voltage balancing. Since the factorised matrix is independent of variations in switching frequency and load, the eigenvalue of interest can be calculated once and tabulated. Originality/value - The closed form expression can be used for quick calculations of the maximum time constant under different operating conditions. Furthermore, the expression provides considerable insight into the influences circuit design choices have on the balancing mechanism.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
Natural balancing, Flying capacitor converter, Time constant analysis, Fourier series analysis, Fourier series, Fourier analysis, Capacitors, MULTICELL CONVERTERS
journal title
COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING
Compel-Int. J. Comp. Math. Electr. Electron. Eng.
volume
31
issue
6
pages
1603 - 1624
Web of Science type
Article
Web of Science id
000313535700004
JCR category
ENGINEERING, ELECTRICAL & ELECTRONIC
JCR impact factor
0.281 (2012)
JCR rank
221/242 (2012)
JCR quartile
4 (2012)
ISSN
0332-1649
DOI
10.1108/03321641211267029
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2075630
handle
http://hdl.handle.net/1854/LU-2075630
date created
2012-03-27 23:01:11
date last changed
2014-04-17 09:48:10
@article{2075630,
  abstract     = {Purpose - The flying capacitor converter (FFC) balances the clamping capacitor voltages naturally when phase shifted carrier modulation is used. Several models that describe this mechanism, and to estimate the time constants following a perturbation, are discussed in the literature. However, due to the model complexity, numerical methods must be used to evaluate these models. This paper aims to present a closed form expression, using a reference table, that describes a maximum bound for the voltage balancing time constant.
Design/methodology/approach - The FCC is analysed in the frequency domain. A decomposition of the characteristic matrix that describes the voltage balancing mechanism is used. The resulting real symmetric matrix is factorised by using approximations of the load characteristics at the frequencies of interest.
Findings - The minimum eigenvalue of the factorised matrix is used to determine a maximum bound for the time constant of the voltage balancing. Since the factorised matrix is independent of variations in switching frequency and load, the eigenvalue of interest can be calculated once and tabulated.
Originality/value - The closed form expression can be used for quick calculations of the maximum time constant under different operating conditions. Furthermore, the expression provides considerable insight into the influences circuit design choices have on the balancing mechanism.},
  author       = {Van der Merwe, Wim and du Toit Mouton, Hendrik and Thielemans, Steven},
  issn         = {0332-1649},
  journal      = {COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING},
  keyword      = {Natural balancing,Flying capacitor converter,Time constant analysis,Fourier series analysis,Fourier series,Fourier analysis,Capacitors,MULTICELL CONVERTERS},
  language     = {eng},
  number       = {6},
  pages        = {1603--1624},
  title        = {Calculating boundaries for the natural voltage balancing time-constant of the constant duty cycle single leg flying capacitor converter},
  url          = {http://dx.doi.org/10.1108/03321641211267029},
  volume       = {31},
  year         = {2012},
}

Chicago
Van der Merwe, Wim, Hendrik du Toit Mouton, and Steven Thielemans. 2012. “Calculating Boundaries for the Natural Voltage Balancing Time-constant of the Constant Duty Cycle Single Leg Flying Capacitor Converter.” Compel-the International Journal for Computation and Mathematics in Electrical and Electronic Engineering 31 (6): 1603–1624.
APA
Van der Merwe, W., du Toit Mouton, H., & Thielemans, S. (2012). Calculating boundaries for the natural voltage balancing time-constant of the constant duty cycle single leg flying capacitor converter. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 31(6), 1603–1624.
Vancouver
1.
Van der Merwe W, du Toit Mouton H, Thielemans S. Calculating boundaries for the natural voltage balancing time-constant of the constant duty cycle single leg flying capacitor converter. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING. 2012;31(6):1603–24.
MLA
Van der Merwe, Wim, Hendrik du Toit Mouton, and Steven Thielemans. “Calculating Boundaries for the Natural Voltage Balancing Time-constant of the Constant Duty Cycle Single Leg Flying Capacitor Converter.” COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING 31.6 (2012): 1603–1624. Print.