Supercapacitor fractional model − DAQ-based measurements of frequency characteristics and error computation

Abstract

The study concerns the modelling of a supercapacitor. The frequency characteristics are selected as the measurement basis for the study. The characteristics are obtained through a measurement setup featuring a data acquisition (DAQ) device and an arbitrary function generator (AFG). After the characteristics had been obtaineda parameter estimation procedure is executed. The response of the model is then compared with the measurement results. An error definition determining the agreement of the frequency characteristics is introduced. It takes into account both the real and imaginary parts of the obtained impedances.

Ferromagnetic core coil hysteresis modeling using fractional derivatives

“…Most importantly fractional calculus has been applied with much success in problems associated with electrical engineering. In a significant amount, these are studies concerning the modeling of supercapacitors [43][44][45][46][47] and ferromagnetic core coils [48][49][50][51].…”