Publication detail

Design and Examples of Fractional-Order Capacitor Based on C-R-NC Layer Structure

CHRISTIE, C. CLEMENTS, T. HUMPAL, A. KUBÁNEK, D. JEŘÁBEK, J. ŠEDA, P. DVOŘÁK, J. USHAKOV, P. KNYAZEV, I.

Original Title

Design and Examples of Fractional-Order Capacitor Based on C-R-NC Layer Structure

Type

conference paper

Language

English

Original Abstract

The design method and examples of analog circuit elements with fractional (non-integer) order immittance of capacitive character are presented. The elements are based on distributed layer structures of the C-R-NC type (capacitive, resistive, capacitive with N-times the capacitance) and are therefore suitable for integrated implementation, e.g. using thick-film, thin-film, or metal-oxide-semiconductor (MOS) technology. The design method uses a genetic algorithm that optimizes the interconnections between and parameters of individual C-R-NC structures that form the resulting element. To calculate the fitness function for the algorithm, the admittance matrix of the C-R-NC structure and modified nodal analysis are used. Practical tests confirm the success of this method, especially for fractional orders between 0.5 and 1, where it was possible to design circuits working in a frequency band of around 4 decades with a maximum admittance phase deviation of 2 degrees.

Keywords

C-R-NC layer structure; Circuit synthesis; Distributed-element circuit; Fractional-order capacitor; Fractional-order element; Fractional-order impedance

Authors

CHRISTIE, C.; CLEMENTS, T.; HUMPAL, A.; KUBÁNEK, D.; JEŘÁBEK, J.; ŠEDA, P.; DVOŘÁK, J.; USHAKOV, P.; KNYAZEV, I.

Released

30. 10. 2023

ISBN

979-8-3503-9328-6

Book

Proceedings of the 2023 15th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), Ghent, Belgium

Pages from

91

Pages to

96

Pages count

6

BibTex

@inproceedings{BUT185536,
  author="Cole {Christie} and Ty {Clements} and Alison {Humpal} and David {Kubánek} and Jan {Jeřábek} and Pavel {Šeda} and Jan {Dvořák} and Peter A. {Ushakov} and Ilya {Knyazev}",
  title="Design and Examples of Fractional-Order Capacitor Based on C-R-NC Layer Structure",
  booktitle="Proceedings of the 2023 15th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), Ghent, Belgium",
  year="2023",
  pages="91--96",
  doi="10.1109/ICUMT61075.2023.10333293",
  isbn="979-8-3503-9328-6"
}