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Fractional-Order RC and RL Circuits

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Abstract

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

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Authors and Affiliations

  1. Engineering Mathematics Department, Faculty of Engineering, Cairo University, Cairo, 12613, Egypt

    A. G. Radwan

  2. Nanoelectronics Integrated Systems Center, Nile University, Cairo, Egypt

    A. G. Radwan

  3. Electrical Engineering Program, King Abdullah University of Science and Technology (KAUST), Thuwal, Kingdom of Saudi Arabia

    K. N. Salama

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  1. A. G. Radwan
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  2. K. N. Salama
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Correspondence to A. G. Radwan.

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Radwan, A.G., Salama, K.N. Fractional-Order RC and RL Circuits. Circuits Syst Signal Process 31, 1901–1915 (2012). https://doi.org/10.1007/s00034-012-9432-z

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  • DOI: https://doi.org/10.1007/s00034-012-9432-z

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