Frequency Method for Determining the Equivalent Parameters of Fractional-Order Elements L\(_{\beta }\)C\(_{\alpha }\)

  • Agnieszka Jakubowska-CiszekEmail author
  • Janusz Walczak
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 559)


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\(_{\beta }, \)(C\(_{\alpha }\)) and the classic reactance element - capacitor C, or induction coil L. In the case of determining the parameters of the fractional-order coil L\(_{\beta }\), the two resonance frequencies have to be measured, in the circuit containing this coil and two switchable classic capacitors C\(_{1}\), C\(_{2}\). 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\(_{1}\), L\(_{2}\). 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.


Fractional-order elements Supercapacitor Fractional-order parameters identification 


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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Faculty of Electrical EngineeringSilesian University of TechnologyGliwicePoland

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