An Improved Wavelet Approach for Finding Steady-State Waveforms of Power Electronics Circuits Using Discrete Convolution

Kam C. Tam; Siu-Chung Wong; Chi K. Tse

doi:10.1109/TCSII.2005.852167

An Improved Wavelet Approach for Finding Steady-State Waveforms of Power Electronics Circuits Using Discrete Convolution

Kam C. Tam
, Siu-Chung Wong
, Chi K. Tse^*

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

9 Citations (Scopus)

Abstract

Due to the switching action and the presence of parasitics, waveforms arising from power electronics circuits often contain high-frequency ringings embedded in slowly varying segments. Such a feature is consistent with the localization property of wavelets which has previously been exploited for fast approximations of steady-state waveforms. This paper proposes an improved and more robust approach for calculating the wavelet coefficients, exploiting the orthogonal property of the Chebyshev polynomials. Simulation results demonstrate the effectiveness of the new algorithm. © 2005, The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

Original language	English
Pages (from-to)	690-694
Journal	IEEE Transactions on Circuits and Systems II: Express Briefs
Volume	52
Issue number	10
Online published	17 Oct 2005
DOIs	https://doi.org/10.1109/TCSII.2005.852167
Publication status	Published - Oct 2005
Externally published	Yes

Research Keywords

Chebyshev polynomials
power electronics circuits
steady-state solutions
wavelet transforms

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10.1109/TCSII.2005.852167

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title = "An Improved Wavelet Approach for Finding Steady-State Waveforms of Power Electronics Circuits Using Discrete Convolution",

abstract = "Due to the switching action and the presence of parasitics, waveforms arising from power electronics circuits often contain high-frequency ringings embedded in slowly varying segments. Such a feature is consistent with the localization property of wavelets which has previously been exploited for fast approximations of steady-state waveforms. This paper proposes an improved and more robust approach for calculating the wavelet coefficients, exploiting the orthogonal property of the Chebyshev polynomials. Simulation results demonstrate the effectiveness of the new algorithm. {\textcopyright} 2005, The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.",

keywords = "Chebyshev polynomials, power electronics circuits, steady-state solutions, wavelet transforms",

author = "Tam, \{Kam C.\} and Siu-Chung Wong and Tse, \{Chi K.\}",

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pages = "690--694",

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}

An Improved Wavelet Approach for Finding Steady-State Waveforms of Power Electronics Circuits Using Discrete Convolution. / Tam, Kam C.; Wong, Siu-Chung; Tse, Chi K.
In: IEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 52, No. 10, 10.2005, p. 690-694.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

TY - JOUR

T1 - An Improved Wavelet Approach for Finding Steady-State Waveforms of Power Electronics Circuits Using Discrete Convolution

AU - Tam, Kam C.

AU - Wong, Siu-Chung

AU - Tse, Chi K.

PY - 2005/10

Y1 - 2005/10

N2 - Due to the switching action and the presence of parasitics, waveforms arising from power electronics circuits often contain high-frequency ringings embedded in slowly varying segments. Such a feature is consistent with the localization property of wavelets which has previously been exploited for fast approximations of steady-state waveforms. This paper proposes an improved and more robust approach for calculating the wavelet coefficients, exploiting the orthogonal property of the Chebyshev polynomials. Simulation results demonstrate the effectiveness of the new algorithm. © 2005, The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

AB - Due to the switching action and the presence of parasitics, waveforms arising from power electronics circuits often contain high-frequency ringings embedded in slowly varying segments. Such a feature is consistent with the localization property of wavelets which has previously been exploited for fast approximations of steady-state waveforms. This paper proposes an improved and more robust approach for calculating the wavelet coefficients, exploiting the orthogonal property of the Chebyshev polynomials. Simulation results demonstrate the effectiveness of the new algorithm. © 2005, The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

KW - Chebyshev polynomials

KW - power electronics circuits

KW - steady-state solutions

KW - wavelet transforms

UR - https://www.scopus.com/pages/publications/27644589310

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-27644589310&origin=recordpage

U2 - 10.1109/TCSII.2005.852167

DO - 10.1109/TCSII.2005.852167

M3 - RGC 21 - Publication in refereed journal

SN - 1549-7747

VL - 52

SP - 690

EP - 694

JO - IEEE Transactions on Circuits and Systems II: Express Briefs

JF - IEEE Transactions on Circuits and Systems II: Express Briefs

IS - 10

ER -

An Improved Wavelet Approach for Finding Steady-State Waveforms of Power Electronics Circuits Using Discrete Convolution

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