Issue |
ITM Web Conf.
Volume 19, 2018
Computer Applications in Electrical Engineering (ZKwE’2018)
|
|
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Article Number | 01008 | |
Number of page(s) | 2 | |
DOI | https://doi.org/10.1051/itmconf/20181901008 | |
Published online | 21 September 2018 |
Solving fractional circuits with sinusoidal sources by using the gcdAlpha method
Silesian University of Technology, Faculty of Electrical Engineering, Akademicka 2A, 44-100 Gliwice, Poland
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Corresponding author: marcin.sowa@polsl.pl
This paper concerns a study being part of a larger project aiming at solutions of problems with fractional time derivatives. The presented study concerns gcdAlpha – a semi-analytical method for solving fractional differential equations. The basis of the method is recalled along with the general form of problems it was designed to solve. Sources represented by sinusoidal time functions are considered and the general formulae for gcdAlpha are presented for this case. An exemplary circuit problem (containing fractional elements and a sinusoidal source) has been brought forward and solved. The results are compared with ones obtained through a solver basing on the numerical method called SubIval.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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