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Circuit simulation of any time-domain source on fractional-order impedances by use of the haar wavelet transform, case study of the skin effect

Georgios Roumeliotis (UGent) , Jan Desmet (UGent) and Jos Knockaert (UGent)
(2025) IEEE OPEN JOURNAL OF CIRCUITS AND SYSTEMS. 6. p.155-168
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Abstract
An application of the ability of the Haar wavelet operational matrix to perform the numerical inverse Laplace transform as combined with the intrinsically convenient Haar wavelet transform of any time-domain signal is presented in this paper. A case study of the transient- and steady-state behavior of the input impedance of a short-circuited transmission line showcases a method to perform the numerical inverse Laplace transform of fractional-order approximative expressions of the skin effect. Furthermore, an improved skin effect approximation is presented.
Keywords
Skin effect, Wires, Impedance, Wavelet transforms, Insulation, Dielectric losses, Conductors, Transforms, Mathematical models, Transmission line matrix methods, Circuit simulation, inverse transform, proximity effect, skin effect, transmission lines, wavelet transform, STATE ANALYSIS, SYSTEMS, XLPE

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MLA
Roumeliotis, Georgios, et al. “Circuit Simulation of Any Time-Domain Source on Fractional-Order Impedances by Use of the Haar Wavelet Transform, Case Study of the Skin Effect.” IEEE OPEN JOURNAL OF CIRCUITS AND SYSTEMS, vol. 6, 2025, pp. 155–68, doi:10.1109/ojcas.2025.3573989.
APA
Roumeliotis, G., Desmet, J., & Knockaert, J. (2025). Circuit simulation of any time-domain source on fractional-order impedances by use of the haar wavelet transform, case study of the skin effect. IEEE OPEN JOURNAL OF CIRCUITS AND SYSTEMS, 6, 155–168. https://doi.org/10.1109/ojcas.2025.3573989
Chicago author-date
Roumeliotis, Georgios, Jan Desmet, and Jos Knockaert. 2025. “Circuit Simulation of Any Time-Domain Source on Fractional-Order Impedances by Use of the Haar Wavelet Transform, Case Study of the Skin Effect.” IEEE OPEN JOURNAL OF CIRCUITS AND SYSTEMS 6: 155–68. https://doi.org/10.1109/ojcas.2025.3573989.
Chicago author-date (all authors)
Roumeliotis, Georgios, Jan Desmet, and Jos Knockaert. 2025. “Circuit Simulation of Any Time-Domain Source on Fractional-Order Impedances by Use of the Haar Wavelet Transform, Case Study of the Skin Effect.” IEEE OPEN JOURNAL OF CIRCUITS AND SYSTEMS 6: 155–168. doi:10.1109/ojcas.2025.3573989.
Vancouver
1.
Roumeliotis G, Desmet J, Knockaert J. Circuit simulation of any time-domain source on fractional-order impedances by use of the haar wavelet transform, case study of the skin effect. IEEE OPEN JOURNAL OF CIRCUITS AND SYSTEMS. 2025;6:155–68.
IEEE
[1]
G. Roumeliotis, J. Desmet, and J. Knockaert, “Circuit simulation of any time-domain source on fractional-order impedances by use of the haar wavelet transform, case study of the skin effect,” IEEE OPEN JOURNAL OF CIRCUITS AND SYSTEMS, vol. 6, pp. 155–168, 2025.
@article{01JXSQMMW2M1X61KDC4Q9TZSNP,
  abstract     = {{An application of the ability of the Haar wavelet operational matrix to perform the numerical inverse Laplace transform as combined with the intrinsically convenient Haar wavelet transform of any time-domain signal is presented in this paper. A case study of the transient- and steady-state behavior of the input impedance of a short-circuited transmission line showcases a method to perform the numerical inverse Laplace transform of fractional-order approximative expressions of the skin effect. Furthermore, an improved skin effect approximation is presented.}},
  author       = {{Roumeliotis, Georgios and Desmet, Jan and Knockaert, Jos}},
  issn         = {{2644-1225}},
  journal      = {{IEEE OPEN JOURNAL OF CIRCUITS AND SYSTEMS}},
  keywords     = {{Skin effect,Wires,Impedance,Wavelet transforms,Insulation,Dielectric losses,Conductors,Transforms,Mathematical models,Transmission line matrix methods,Circuit simulation,inverse transform,proximity effect,skin effect,transmission lines,wavelet transform,STATE ANALYSIS,SYSTEMS,XLPE}},
  language     = {{eng}},
  pages        = {{155--168}},
  title        = {{Circuit simulation of any time-domain source on fractional-order impedances by use of the haar wavelet transform, case study of the skin effect}},
  url          = {{http://doi.org/10.1109/ojcas.2025.3573989}},
  volume       = {{6}},
  year         = {{2025}},
}
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