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Analysis on the time and frequency domain for the RC electric circuit of fractional order

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Central European Journal of Physics

Abstract

This paper provides an analysis in the time and frequency domain of an RC electrical circuit described by a fractional differential equation of the order 0 < α≤ 1. We use the Laplace transform of the fractional derivative in the Caputo sense. In the time domain we emphasize on the delay, rise and settling times, while in the frequency domain the interest is in the cutoff frequency, the bandwidth and the asymptotes in low and high frequencies. All these quantities depend on the order of differential equation.

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Authors and Affiliations

  1. Departamento de Ingeniería Eléctrica. División de Ingenierías Campus Irapuato-Salamanca, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago, km. 3.5 + 1.8 km. Comunidad de Palo Blanco, 36885, Salamanca Guanajuato, México

    Manule Guía, Francisco Gómez & Juan Rosales

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  1. Manule Guía
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  2. Francisco Gómez
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  3. Juan Rosales
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Correspondence to Manule Guía.

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Guía, M., Gómez, F. & Rosales, J. Analysis on the time and frequency domain for the RC electric circuit of fractional order. centr.eur.j.phys. 11, 1366–1371 (2013). https://doi.org/10.2478/s11534-013-0236-y

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  • DOI: https://doi.org/10.2478/s11534-013-0236-y

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