Publication detail

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.

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

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

Authors

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

Released

13. 1. 2020

Publisher

MDPI

Location

BASEL

ISBN

2076-3417

Periodical

Applied Sciences - Basel

Year of study

10

Number

1

State

Swiss Confederation

Pages from

1

Pages to

25

Pages count

25

URL

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

Full text in the Digital Library

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"
}