Authors: Haška, Kristian
Zorica, Dušan 
Cvetićanin, Stevan
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Fractional RLC circuit in transient and steady state regimes
Journal: Communications in Nonlinear Science and Numerical Simulation
First page: 105670
Issue Date: 1-May-2021
Rank: ~M21a
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2020.105670
Assuming accumulated charge being dependent on capacitor voltage memory as well as by expressing magnetic flux in inductor in terms of current memory, generalized capacitor and inductor are constitutively modeled by the sum of terms containing instantaneous and power type hereditary contributions. Constitutive models are further used in analyzing transient and steady state responses of series RLC circuit subject to electromotive force. Depending on model parameters, the character of transfer function changes the behavior of fractional RLC circuit's impulse response in transient regime from aperiodic, over critically aperiodic, to damped oscillatory. Transition from transient to steady state regime is also analyzed, so as its predominant type depending on element's fractional order.
Keywords: Fractionally generalized electric elements | Memory type constitutive models | RLC circuit in transient and steady state regimes
Publisher: Elsevier

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