TY - GEN
T1 - Frequency Method for Determining the Equivalent Parameters of Fractional-Order Elements L C
AU - Jakubowska-Ciszek, Agnieszka
AU - Walczak, Janusz
N1 - Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020
Y1 - 2020
N2 - The paper proposes a method for the determination of parameters of the fractional-order elements, i.e. the supercapacitor and the fractional-order coil. The method is based on the phase resonance phenomenon in a series circuit containing the fractional-order element L and the classic reactance element - capacitor C, or induction coil L. In the case of determining the parameters of the fractional-order coil L the two resonance frequencies have to be measured, in the circuit containing this coil and two switchable classic capacitors C Similarly, when calculating the supercapacitor parameters, two resonance frequencies also need to be measured in a circuit containing a supercapacitor and two switchable reference inductances L The developed method allows the determination of the lossy parameters of the fractional-order elements too. The paper presents a detailed description of the developed method, its physical basis, simulation and experimental verification.
AB - The paper proposes a method for the determination of parameters of the fractional-order elements, i.e. the supercapacitor and the fractional-order coil. The method is based on the phase resonance phenomenon in a series circuit containing the fractional-order element L and the classic reactance element - capacitor C, or induction coil L. In the case of determining the parameters of the fractional-order coil L the two resonance frequencies have to be measured, in the circuit containing this coil and two switchable classic capacitors C Similarly, when calculating the supercapacitor parameters, two resonance frequencies also need to be measured in a circuit containing a supercapacitor and two switchable reference inductances L The developed method allows the determination of the lossy parameters of the fractional-order elements too. The paper presents a detailed description of the developed method, its physical basis, simulation and experimental verification.
KW - Fractional-order elements
KW - Fractional-order parameters identification
KW - Supercapacitor
UR - https://www.scopus.com/pages/publications/85065488633
U2 - 10.1007/978-3-030-17344-9_19
DO - 10.1007/978-3-030-17344-9_19
M3 - Conference contribution
AN - SCOPUS:85065488633
SN - 9783030173432
T3 - Lecture Notes in Electrical Engineering
SP - 250
EP - 267
BT - Advances in Non-Integer Order Calculus and Its Applications - Proceedings of the 10th International Conference on Non-Integer Order Calculus and Its Applications
A2 - Sajewski, Łukasz
A2 - Malinowska, Agnieszka B.
A2 - Mozyrska, Dorota
PB - Springer Verlag
T2 - 10th International Conference of Non-integer Order Calculus and its Applications, 2018
Y2 - 20 September 2018 through 21 September 2018
ER -