Publication detail

Synthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithm

KARTCI, A. AGAMBAYEV, A. FARHAT, M. HERENCSÁR, N. BRANČÍK, L. BAGCI, H. SALAMA, K. N.

Original Title

Synthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithm

English Title

Synthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithm

Type

journal article - other

Language

en

Original Abstract

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.

English abstract

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.

Keywords

Cauer network, Constant phase element, continued fraction expansion, distributed RC network, distributed RL network, Foster network, fractional-order capacitor, fractional-order element, fractional-order inductor, genetic algorithm, impedance optimization, phase optimization, RC network, RL network, recursive algorithm, Valsa network

Released

14.06.2019

Publisher

IEEE

Pages from

80233

Pages to

80246

Pages count

14

URL

Full text in the Digital Library

Documents

BibTex


@article{BUT157018,
  author="Aslihan {Kartci} and Agamyrat {Agambayev} and Mohamed {Farhat} and Norbert {Herencsár} and Lubomír {Brančík} and Hakan {Bagci} and Khaled Nabil {Salama}",
  title="Synthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithm",
  annote="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.",
  address="IEEE",
  chapter="157018",
  doi="10.1109/ACCESS.2019.2923166",
  howpublished="online",
  institution="IEEE",
  number="1",
  volume="7",
  year="2019",
  month="june",
  pages="80233--80246",
  publisher="IEEE",
  type="journal article - other"
}