Publication detail

Study of Parallel L(beta)C(alpha)-Circuit

USHAKOV, P. KUBÁNEK, D. KOTON, J.

Original Title

Study of Parallel L(beta)C(alpha)-Circuit

Czech Title

Studie paralelního L(beta)C(alfa) obvodu

English Title

Study of Parallel L(beta)C(alpha)-Circuit

Type

conference paper

Language

en

Original Abstract

This article analyzes parallel resonant circuit containing fractional capacitor and inductor. Relations for complex impedance, resonant frequency, and resistance at this frequency are derived. These formulas are then expressed graphically. The influence of the exponents of frequency dependence of impedance alpha and beta is especially emphasized which is not present when classical elements are used. The possibilities of practical implementation of fractional elements are introduced whereas RC elements with distributed parameters are preferred. An example of fractional capacitor made by thick-film technology is shown and rules for finding its parameters are stated.

Czech abstract

Je prezentován paralelní L(beta)C(alfa) obvod s fraktálním kapacitorem a induktorem. Jsou odvozeny vztahy pro impedanci a rezonanční frekvenci, které jsou poté prezentovány graficky.

English abstract

This article analyzes parallel resonant circuit containing fractional capacitor and inductor. Relations for complex impedance, resonant frequency, and resistance at this frequency are derived. These formulas are then expressed graphically. The influence of the exponents of frequency dependence of impedance alpha and beta is especially emphasized which is not present when classical elements are used. The possibilities of practical implementation of fractional elements are introduced whereas RC elements with distributed parameters are preferred. An example of fractional capacitor made by thick-film technology is shown and rules for finding its parameters are stated.

Keywords

Fractional element, LC circuit, RC element with distributed parameters

RIV year

2014

Released

01.07.2014

ISBN

978-1-4799-8497-8

Book

Proceedings of the 38th International Conference on Telecommunication and Signal Processing

Pages from

693

Pages to

697

Pages count

5

BibTex


@inproceedings{BUT108724,
  author="Peter A. {Ushakov} and David {Kubánek} and Jaroslav {Koton}",
  title="Study of Parallel L(beta)C(alpha)-Circuit",
  annote="This article analyzes parallel resonant circuit containing fractional capacitor and inductor. Relations for complex impedance, resonant frequency, and resistance at this frequency are derived. These formulas are then expressed graphically. The influence of the exponents of frequency dependence of impedance alpha and beta is especially emphasized which is not present when classical elements are used. The possibilities of practical implementation of fractional elements are introduced whereas RC elements with distributed parameters are preferred. An example of fractional capacitor made by thick-film technology is shown and rules for finding its parameters are stated.",
  booktitle="Proceedings of the 38th International Conference on Telecommunication and Signal Processing",
  chapter="108724",
  howpublished="electronic, physical medium",
  year="2014",
  month="july",
  pages="693--697",
  type="conference paper"
}