TY - JOUR
N2 - An analysis of a given electrical circuit using a fractional derivative. The statespace equation was developed. The dynamics of tensions described by Kirchhoff’s laws equations. The paper used the definition of the integral derivative Caputo and CDF conformable fractional definition. An electrical circuit solution using Caputo and CDF defini- tions for rectangular with zero initial conditions was developed. The results obtained using the Caputo and CDF definitions were compared. The solutions are shown for capacitor voltages, for fractional derivative orders of 0.6, 0.8, 1. The results were compared using graphs.
L1 - http://www.czasopisma.pan.pl/Content/108840/PDF/art06.pdf
L2 - http://www.czasopisma.pan.pl/Content/108840
PY - 2018
IS - No 4
EP - 789–802
DO - 10.24425/aee.2018.124740
KW - fractional order system
KW - Caputo definition
KW - conformable fractional definition
KW - fractional electrical circuit
A1 - Piotrowska, Ewa
PB - Polish Academy of Sciences
VL - vol. 67
DA - 2018.11.19
T1 - Analysis of fractional electrical circuit with rectangular input signal using Caputo and conformable derivative definitions
SP - 789–802
UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/108840
T2 - Archives of Electrical Engineering
ER -