Equivalent diagrams of fractional order elements

Autor: Sebastian Różowicz, Maciej Włodarczyk, Andrzej Zawadzki
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Archives of Control Sciences, Vol vol. 33, Iss No 4, Pp 801-827 (2024)
Druh dokumentu: article
ISSN: 1230-2384
DOI: 10.24425/acs.2023.148882
Popis: This paper presents equivalent impedance and operator admittance systems for fractional order elements. Presented models of fractional order elements of the type: s α L α and 1/s α C α, (0 α 1) were obtained using the Laplace transform based on the expansion of the factor sign to an infinite fraction with varying degrees of accuracy – the continued fraction expansion method (CFE). Then circuit synthesis methods were applied. As a result, equivalent circuit diagrams of fractional order elements were obtained. The obtained equivalent schemes consist both of classical RLC elements, as well as active elements built based on operational amplifiers. Numerical experiments were conducted for the constructed models, presenting responses to selected input signals.
Databáze: Directory of Open Access Journals