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...

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Bibliographic Details
Published in:Circuits, systems, and signal processing systems, and signal processing, 2012-12, Vol.31 (6), p.1901-1915
Main Authors: Radwan, A. G., Salama, K. N.
Format: Article
Language:English
Subjects:
Circuits
Circuits and Systems
Computer simulation
Electric resistance
Electrical Engineering
Electronics and Microelectronics
Engineering
Flexibility
Fractionation
Frequencies
Frequency domains
Instrumentation
Mathematical models
Reinforced concrete
RL circuits
Sensitivity analysis
Signal,Image and Speech Processing
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Summary: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
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-012-9432-z