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Dissipative and generative fractional RLC circuits in the transient regime

Author

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  • Zorica, Dušan
  • Cvetićanin, Stevan M.

Abstract

Four different types of fractional RLC circuits, namely dissipative-dissipative, dissipative-generative, generative-dissipative, and generative-generative, formed by classical resistor connected in series with dissipative/generative capacitor and inductor, representing generalized electric elements, are considered in transient regime. Circuit current is obtained as a convolution of the electromotive force and impulse response, being the inverse Laplace transform of the equivalent admittance of RLC circuit. Three possible contributions to the impulse response are found, each of them displaying different qualitative behavior, depending on the singularities of equivalent admittance. Further, depending on the range of model parameters, the impulse response corresponding to each of the dissipative-dissipative, dissipative-generative, and generative-dissipative circuits has three variants, while the impulse response has nine variants in the case of generative-generative RLC circuit.

Suggested Citation

  • Zorica, Dušan & Cvetićanin, Stevan M., 2023. "Dissipative and generative fractional RLC circuits in the transient regime," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    • Handle: RePEc:eee:apmaco:v:459:y:2023:i:c:s009630032300396x
    DOI: 10.1016/j.amc.2023.128227
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    References listed on IDEAS

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    1. J. J. Quintana & A. Ramos & I. Nuez, 2013. "Modeling of an EDLC with Fractional Transfer Functions Using Mittag-Leffler Equations," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, December.
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