Synthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithm
Type
ArticleAuthors
Kartci, AslihanAgambayev, Agamyrat
Farhat, Mohamed
Herencsar, Norbert
Brancik, Lubomir
Bagci, Hakan
Salama, Khaled N.
KAUST Department
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) DivisionElectrical Engineering
Electrical Engineering Program
Date
2019Permanent link to this record
http://hdl.handle.net/10754/655878Metadata
Show full item recordAbstract
This study proposes a new approach for the optimization of phase and magnitude responses of fractional-order capacitive and inductive elements based on the mixed integer-order genetic algorithm (GA), over a bandwidth of four decade, and operating up to 1 GHz with low phase error of approximately ±1°. It provides a phase optimization in the desired bandwidth with minimal branch number, and avoids use of negative component values, and any complex mathematical analysis. Standardized, IEC 60063 compliant commercially available passive component values are used; hence, no correction on passive elements is required. To the best knowledge of the authors, this approach is proposed for the first time in the literature. As validation, we present numerical simulations using MATLAB® and experimental measurement results, in particular the Foster-II and Valsa structures with five branches for precise and/or high-frequency applications. Indeed, the results demonstrate excellent performance and significant improvements over the Oustaloup approximation, the Valsa recursive algorithm, and the continued fraction expansion as well as the adaptability of the GA-based design with five different types of distributed RC/RL network.Citation
Kartci, A., Agambayev, A., Farhat, M., Herencsar, N., Brancik, L., Bagci, H., & Salama, K. N. (2019). Synthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithm. IEEE Access, 7, 80233–80246. doi:10.1109/access.2019.2923166Sponsors
For the research, infrastructure of the SIX Center was used. (Aslihan Kartci and Agamyrat Agambayev contributed equally to this work.)Journal
IEEE AccessAdditional Links
https://ieeexplore.ieee.org/document/8736971/https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=8736971
Scopus Count
Except where otherwise noted, this item's license is described as This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/
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