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

• Authors: Manule Guía , Francisco Gómez , Juan Rosales
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

fractional calculus; Caputo derivative; electrical circuits; Mittag-Leffler function

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 10
• Pages: 1366-1371

Dates

published

1 - 10 - 2013

online

19 - 12 - 2013

Contributors

author

Manule Guía

• 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

author

Francisco Gómez

• 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

author

Juan Rosales

• 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

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Identifiers

DOI

10.2478/s11534-013-0236-y