Analog Modeling of Fractional-Order Elements: A Classical Circuit Theory Approach (CROSBI ID 297422)
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Mijat, Neven ; Jurišić, Dražen ; Moschytz, George
engleski
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 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.
Integrated circuit modeling ; Mathematical model ; Brain modeling ; Transfer functions ; Impedance ; Finite element analysis ; Standards
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