Open AccessPassively realisable impedance functions by using two fractional elements and some resistors
Author(s) -
Tavazoei Mohammad Saleh
Publication year - 2018
Publication title -
iet circuits, devices and systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.251
H-Index - 49
eISSN - 1751-8598
pISSN - 1751-858X
DOI - 10.1049/iet-cds.2017.0342
Subject(s) - resistor , inductor , electrical impedance , realisation , capacitor , equivalent impedance transforms , electrical element , electronic component , electronic engineering , topology (electrical circuits) , computer science , electrical engineering , engineering , physics , voltage , quantum mechanics
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.