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Frequency Characteristics of Dissipative and Generative Fractional RLC Circuits

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Abstract

Equations governing the transient- and steady-state regimes of the fractional series RLC circuits containing dissipative and/or generative capacitor and inductor are posed by considering the electric current as a response to electromotive force. Further, fractional RLC circuits are analyzed in the steady-state regime and their energy consumption/production properties are established depending on the angular frequency of electromotive force. Frequency characteristics of the modulus and argument of transfer function, i.e., of circuit’s equivalent admittance, are analyzed through the Bode diagrams for the whole frequency range, as well as for low and high frequencies employing the asymptotic expansions of transfer function modulus and argument.

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Data Availability Statement

Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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Acknowledgements

This work is supported by the Serbian Ministry of Science, Education and Technological Development under grants 451-03-68/2022-14/200156 (SMC), and 451-03-68/2022-14/200125 (DZ).

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Authors and Affiliations

  1. Department of Power, Electronic and Telecommunication Engineering, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, Novi Sad, 21000, Serbia

    Kristian Haška & Stevan M. Cvetićanin

  2. Department of Physics, Faculty of Sciences, University of Novi Sad, Trg D. Obradovića 4, Novi Sad, 21000, Serbia

    Dušan Zorica

  3. Mathematical Institute, Serbian Academy of Arts and Sciences, Kneza Mihaila 36, Beograd, 11000, Serbia

    Dušan Zorica

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  1. Kristian Haška
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Correspondence to Stevan M. Cvetićanin.

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Haška, K., Zorica, D. & Cvetićanin, S.M. Frequency Characteristics of Dissipative and Generative Fractional RLC Circuits. Circuits Syst Signal Process 41, 4717–4754 (2022). https://doi.org/10.1007/s00034-022-02025-3

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