Detail publikace

Integer-and Fractional-Order Integral and Derivative Two-Port Summations: Practical Design Considerations

ŠOTNER, R. DOMANSKÝ, O. JEŘÁBEK, J. HERENCSÁR, N. PETRŽELA, J. ANDRIUKAITIS, D.

Originální název

Integer-and Fractional-Order Integral and Derivative Two-Port Summations: Practical Design Considerations

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

This paper targets on the design and analysis of specific types of transfer functions obtained by the summing operation of integer-order and fractional-order two-port responses. Various operations provided by fractional-order, two-terminal devices have been studied recently. However, this topic needs to be further studied, and the topologies need to be analyzed in order to extend the state of the art. The studied topology utilizes the passive solution of a constant-phase element (with order equal to 0.5) implemented by parallel resistor-capacitor circuit (RC) sections operating as a fractional-order two-port. The integer-order part is implemented by operational amplifier-based lossless integrators and differentiators in branches with electronically adjustable gain, useful for time constant tuning. Four possible cases of the fractional-order and integer-order two-port interconnections are analyzed analytically, by PSpice simulations and also experimentally in the frequency range between 10 Hz and 1 MHz. Standard discrete active components are used in this design for laboratory verification. Practical recommendations for construction and also particular solutions overcoming possible issues with instability and DC offsets are also given. Experimental and simulated results are in good agreement with theory.

Klíčová slova

constant phase element; differentiator; electronic adjusting; fractional-order element; integrator; summing of responses; two-port transfer; variable gain amplifier

Autoři

ŠOTNER, R.; DOMANSKÝ, O.; JEŘÁBEK, J.; HERENCSÁR, N.; PETRŽELA, J.; ANDRIUKAITIS, D.

Vydáno

13. 1. 2020

Nakladatel

MDPI

Místo

BASEL

ISSN

2076-3417

Periodikum

Applied Sciences - Basel

Ročník

10

Číslo

1

Stát

Švýcarská konfederace

Strany od

1

Strany do

25

Strany počet

25

URL

https://www.mdpi.com/2076-3417/10/1/54

Plný text v Digitální knihovně

http://hdl.handle.net/11012/189004

BibTex

@article{BUT163201,
  author="Roman {Šotner} and Ondřej {Domanský} and Jan {Jeřábek} and Norbert {Herencsár} and Jiří {Petržela} and Darius {Andriukaitis}",
  title="Integer-and Fractional-Order Integral and Derivative Two-Port Summations: Practical Design Considerations",
  journal="Applied Sciences - Basel",
  year="2020",
  volume="10",
  number="1",
  pages="1--25",
  doi="10.3390/app10010054",
  issn="2076-3417",
  url="https://www.mdpi.com/2076-3417/10/1/54"
}