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- Title
Fractional-Order RC and RL Circuits.
- Authors
Radwan, A.; Salama, K.
- 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
- Subjects
FRACTIONAL calculus; FREQUENCIES of oscillating systems; ELECTRIC circuit analysis; RESISTOR-inductor circuit; ELECTRIC impedance; SENSITIVITY analysis; COMPUTER simulation
- Publication
Circuits, Systems & Signal Processing, 2012, Vol 31, Issue 6, p1901
- ISSN
0278-081X
- Publication type
Article
- DOI
10.1007/s00034-012-9432-z