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Realizability of fractional-order impedances by passive electrical networks composed of a fractional capacitor and RLC components

Sarafraz, M. S ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1109/TCSI.2015.2482340
  3. Abstract:
  4. This paper deals with realization of fractional-order impedance functions by passive electrical networks composed of a fractional capacitor and some RLC components. The necessary and sufficient conditions for the existence of such a realization are found in a general case. Also for impedance functions described by a class of fractional-order transfer functions, the realizability conditions are stated as some algebraic conditions on the parameters of the transfer function. Moreover, a procedure is proposed for implementation of such impedance functions by passive electrical networks composed of a fractional capacitor and some RLC components. Numerical examples are presented to show the usefulness of the results of the paper in design of fractional-order electrical circuits
  5. Keywords:
  6. Fractional capacitor ; Fractional-order circuit ; Fractional-order impedance ; Realizability conditions ; Capacitors ; Passive networks ; Algebraic conditions ; Electrical circuit ; Electrical networks ; Fractional order ; Fractional order impedance ; Fractional order transfer function ; Impedance functions ; Transfer functions
  7. Source: IEEE Transactions on Circuits and Systems I: Regular Papers ; Volume 62, Issue 12 , 2015 , Pages 2829-2835 ; 15498328 (ISSN)
  8. URL: http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=7305839&url=http%3A%2F%2Fieeexplore.ieee.org%2Fiel7%2F8919%2F7347494%2F07305839.pdf%3Farnumber%3D7305839