Spice Model of a Capacitor Modelled Using Conformal Fractional Order Derivative and its Usage in Simulation of a Parallel R-L-C_∝ Circuit
Abstract
Fractional-order (FO) components have emerged as a necessary method to model electrical and electronic circuits in the 20th century. In recent decades, the conformable fractional derivative has become a very popular mathematical tool. In the literature, it is used to model supercapacitors successfully. However, it is usually difficult to find analytical solutions for the circuits having a CFD capacitor. Circuit simulation programs make it easy to inspect the circuits hard to analyze. A CFD capacitor does not have a spice model yet. In this study, the Spice model of a CFD capacitor is constructed in the LTspice program. The model is also used to simulate an R-L-C_∝ parallel circuit with a CFD capacitor. Its simulation results are given.
Keywords
Fractional Order Derivatives, Conformal Fractional Derivative, Circuit Modeling, Spice Model
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