Circuits, Systems, and Signal Processing

, Volume 31, Issue 6, pp 1901–1915

Fractional-Order RC and RL Circuits



This paper is a step forward to generalize the fundamentals of the conventional RC and RL circuits in fractional-order sense. The effect of fractional orders is the key factor for extra freedom, more flexibility, and novelty. The conditions for RC and RL circuits to act as pure imaginary impedances are derived, which are unrealizable in the conventional case. In addition, the sensitivity analyses of the magnitude and phase response with respect to all parameters showing the locations of these critical values are discussed. A qualitative revision for the fractional RC and RL circuits in the frequency domain is provided. Numerical and PSpice simulations are included to validate this study


Fractional calculus Frequency domain analysis Fractional-order circuit Sensitivity analysis Fractional-order filter 

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Engineering Mathematics Department, Faculty of EngineeringCairo UniversityCairoEgypt
  2. 2.Nanoelectronics Integrated Systems CenterNile UniversityCairoEgypt
  3. 3.Electrical Engineering ProgramKing Abdullah University of Science and Technology (KAUST)ThuwalKingdom of Saudi Arabia

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