A simple analysis of flying capacitor converter
Purpose The paper aims to emphasise how switched systems can be analysed with elementary techniques which require only undergraduate-level linear algebra and differential equations. It is also emphasised how math software can become useful for simplifying analytic complications. Design/methodology/a...
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Published in | Compel Vol. 37; no. 3; pp. 1244 - 1257 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Bradford
Emerald Publishing Limited
08.05.2018
Emerald Group Publishing Limited |
Subjects | |
Online Access | Get full text |
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Summary: | Purpose
The paper aims to emphasise how switched systems can be analysed with elementary techniques which require only undergraduate-level linear algebra and differential equations. It is also emphasised how math software can become useful for simplifying analytic complications.
Design/methodology/approach
The time domain voltage balance methodology is used for stability analysis. As for deriving formulas for the asymptotic average of both capacitor voltage and inductor current, a new simple analytic method is introduced.
Findings
It was shown analytically that the time average of capacitor voltage converges to half of the source voltage. A formula for the time average of the current of the inductor is also computed. As a by-product, it was discovered that the period of the current is half of the switching period. Numerical simulations are obtained to illustrate the accuracy of the results.
Research limitations/implications
Higher dimensional generalisations could become a bit complicated, as stability analysis of higher dimensional exponential matrices is not so easy to handle. On the other hand, the new discovery on the period of the current is more likely to give new insights into handling higher dimensional systems.
Practical implications
Analytical formulas are exact, and it helps in accurately modelling flying capacitor converts (FCCs) in practice.
Originality/value
FCC is well studied in engineering society. However, not much is done in obtaining closed form solutions using analysis. Also, math software is much used in computation of numerical results and obtaining simulations. In this paper, one more important aspect of math software is emphasised, namely, use symbolic and numeric computing environment Maple in analysis. |
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ISSN: | 0332-1649 2054-5606 |
DOI: | 10.1108/COMPEL-07-2017-0282 |