1. Analog Modeling of Fractional-Order Elements: A Classical Circuit Theory Approach
- Author
-
Drazen Jurisic, George S. Moschytz, and Neven Mijat
- Subjects
General Computer Science ,synthesis ,Computer science ,Topology ,01 natural sciences ,Transfer function ,010305 fluids & plasmas ,Differentiator ,0103 physical sciences ,General Materials Science ,fractional immittance ,constant-phase element ,0101 mathematics ,approximation ,Integrated circuit modeling ,Mathematical model ,Brain modeling ,Transfer functions ,Impedance ,Finite element analysis ,Standards ,Electronic circuit ,fractional-order differentiator and integrator ,General Engineering ,Function (mathematics) ,Fractional-order element ,TK1-9971 ,010101 applied mathematics ,Integrator ,Electrical engineering. Electronics. Nuclear engineering ,Realization (systems) ,Circuit diagram ,Network analysis - Abstract
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.
- Published
- 2021