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

Type

journal article in Web of Science

Language

English

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 a low phase error of approximately +/- 1 degrees. It provides a phase optimization in the desired bandwidth with minimal branch number and avoids the 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 (R) 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 and 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

Authors

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

Released

14. 6. 2019

Publisher

IEEE

ISBN

2169-3536

Periodical

IEEE Access

Year of study

7

Number

1

State

United States of America

Pages from

80233

Pages to

80246

Pages count

14

URL

https://ieeexplore.ieee.org/document/8736971

Full text in the Digital Library

http://hdl.handle.net/11012/180480

BibTex

@article{BUT157018,
  author="KARTCI, A. and AGAMBAYEV, A. and FARHAT, M. and HERENCSÁR, N. and BRANČÍK, L. and BAGCI, H. and SALAMA, K. N.",
  title="Synthesis and Optimization of Fractional-Order Elements Using a Genetic Algorithm",
  journal="IEEE Access",
  year="2019",
  volume="7",
  number="1",
  pages="80233--80246",
  doi="10.1109/ACCESS.2019.2923166",
  issn="2169-3536",
  url="https://ieeexplore.ieee.org/document/8736971"
}