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Fractional‐order mutual inductance: analysis and design
Author(s) -
Soltan Ahmed,
Radwan Ahmed G.,
Soliman Ahmed M.
Publication year - 2016
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.2064
Subject(s) - inductance , equivalent series inductance , matlab , equivalent impedance transforms , electronic engineering , network analysis , equivalent circuit , kinetic inductance , electrical impedance , computer science , mathematics , topology (electrical circuits) , engineering , electrical engineering , voltage , operating system
Summary This paper introduces for the first time the generalized concept of the mutual inductance in the fractional‐order domain where the symmetrical and unsymmetrical behaviors of the fractional‐order mutual inductance are studied. To use the fractional mutual inductance in circuit design and simulation, an equivalent circuit is presented with its different conditions of operation. Also, simulations for the impedance matrix parameters of the fractional mutual inductance equivalent circuit using Advanced Design System and MATLAB are illustrated. The Advanced Design System and MATLAB simulations of the double‐tuned filter based on the fractional mutual inductance are discussed. A great matching between the numerical analysis and the circuit simulation appears, which confirms the reliability of the concept of the fractional mutual inductance. Also, the analysis of the impedance matching using the fractional‐order mutual inductance is introduced. Copyright © 2015 John Wiley & Sons, Ltd.