Carbon Black Based Fractional Order Element: An $RC$ filter implementation

摘要

In this paper, Fractional Order Elements FOE, fabricated by using a carbon black nano structured dielectrics, is presented and utilized as capacitor in a fractional order $RC$ circuit. Results on the experimental frequency characterization of one FOE device are given as well as the responses of passive and active fractional $RC$ circuits. The analytical response of the fractional $RC$ circuit has been used to identify the value of the pseudo capacitance characterizing the considered FOE.