Analog Modeling of Fractional-Order Elements: A Classical Circuit Theory Approach

In this paper a comprehensive procedure for the analog modeling of Fractional-Order Elements (FOEs) is presented. Unlike most already proposed techniques, a standard approach from classical circuit theory is applied. It includes the realization of a system function by a mathematical approximation of...

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Bibliographic Details
Published in:IEEE access 2021, Vol.9, p.110309-110331
Main Authors: Mijat, Neven, Jurisic, Drazen, Moschytz, George S.
Format: Article
Language:English
Subjects:
Analog circuits
approximation
Brain modeling
cauer one-port
Circuit design
Circuit diagrams
constant-phase element
Finite element analysis
Foster circuits
foster one-port
fractional immittance
fractional-order differentiator and integrator
Fractional-order element
Impedance
Integrated circuit modeling
Mathematical model
synthesis
Transfer functions
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Summary:In this paper a comprehensive procedure for the analog modeling of Fractional-Order Elements (FOEs) is presented. Unlike most already proposed techniques, a standard approach from classical circuit theory is applied. It includes the realization of a system function by a mathematical approximation of the desired phase response, and the synthesis procedure for the realization of basic fractional-order (FO) one-port models as passive RC Cauer- and Foster-form canonical circuits. Based on the presented one-ports, simple realizations of two-port differentiator and integrator models are derived. Beside the description of the design procedure, illustrative examples, circuit diagrams, simulation results and practical realizations are presented.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2021.3101160