Optimal Charging and Discharging of Supercapacitors
Amr M. AbdelAty, Mohammed E. Fouda, Menna T. M. M. Elbarawy, Ahmed G. Radwan
Abstract
In this paper, we discuss the optimal charging and discharging of supercapacitors to maximize the delivered energy by deploying the fractional and multivariate calculus of variations. We prove mathematically that the constant current is the optimal charging and discharging method under R s -CPE model of supercapacitors. The charging and round-trip efficiencies have been mathematically analyzed for constant current charging and discharging.
Topics & Concepts
SupercapacitorConstant currentConstant (computer programming)Current (fluid)Energy storageEnergy (signal processing)Electrical engineeringComputer scienceCapacitanceMathematicsEngineeringChemistryPhysicsPower (physics)ElectrodeThermodynamicsStatisticsPhysical chemistryProgramming languageSupercapacitor Materials and FabricationAdvanced Battery Technologies ResearchElectric and Hybrid Vehicle Technologies