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Passively realisable impedance functions by using two fractional elements and some resistors

Tavazoei, M. S ; Sharif University of Technology | 2018

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  1. Type of Document: Article
  2. DOI: 10.1049/iet-cds.2017.0342
  3. Publisher: Institution of Engineering and Technology , 2018
  4. Abstract:
  5. Here, the necessary and sufficient conditions for realisability of a general class of impedance functions by passive electrical networks composed of two fractional element (fractional capacitor or fractional inductor) and some resistors are found. Also, a systematic procedure is proposed to obtain such passive electrical networks in the realisable cases. Moreover, by establishing a connection with the previously reported researches on the subject of inerter-based passive mechanical control, further results on the maximum number of the resistors required for passive realisation are obtained. Furthermore, a numerical example is presented to show the usefulness of the paper achievements in passive realisation of impedance functions. © 2018, The Institution of Engineering and Technology
  6. Keywords:
  7. Electric network parameters ; Resistors ; Electrical networks ; General class ; Impedance functions ; Inerter ; Mechanical control ; Realisability ; Passive networks
  8. Source: IET Circuits, Devices and Systems ; Volume 12, Issue 3 , 2018 , Pages 280-285 ; 1751858X (ISSN)
  9. URL: https://ieeexplore.ieee.org/document/8353064