- Tytuł:
- Equivalent diagrams of fractional order elements
- Autorzy:
-
Różowicz, Sebastian
Włodarczyk, Maciej
Zawadzki, Andrzej - Powiązania:
- https://bibliotekanauki.pl/articles/27324011.pdf
- Data publikacji:
- 2023
- Wydawca:
- Polska Akademia Nauk. Czasopisma i Monografie PAN
- Tematy:
-
fractional order derivative
Laplace transform for fractional order systems
CFE method
circuit synthesis
numerical experiments - Opis:
- This paper presents equivalent impedance and operator admittance systems for fractional order elements. Presented models of fractional order elements of the type: sαL,sub>α and 1/sαCsub>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.
- Źródło:
-
Archives of Control Sciences; 2023, 33, 4; 801--827
1230-2384 - Pojawia się w:
- Archives of Control Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł