Analysis of Parallel Resonance Circuit Consisting of a Capacitor Modelled Using Conformal Fractional Order Derivative Using Simulink

Year 2020, Volume: 3 Issue: 1, 13 - 18, 30.07.2020

Abdulmajıd Abdullah Hamed Alhaj Mohammed Kutsal Kandemir Reşat Mutlu

Abstract

Fractional order circuit elements are becoming an essential part of modelling electronics and mechanic systems in the last few decades. Recently, conformable fractional derivate (CFD) has been introduced in literature. It is easier to understand and use than the other Fractional order derivatives and it is already being used to model circuit components. CFD has already been used to model supercapacitors in literature. It is important to know how circuits behave for different types of current and voltage waveforms. In this paper, a parallel circuit which consists of a resistor, an inductor and a CFD capacitor fed by a current source has been examined for DC and sinusoidal signals using SimulinkTM toolbox of MatlabTM since it was not possible to find analytical solutions of the circuit. Simulink provides an easier way to examine such circuits.

Keywords

Fractional Order Derivative, Conformable Fractional Derivative, Circuit Analysis, Circuit Theory, Circuit Modeling

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