5 papers
Theory and Application of the Fractional-order Delta Function Associated with the Inverse Laplace Transform of the Mittag-Leffler Function
Anis Allagui, Ahmed S. Elwakil
This paper is devoted to the study of the -Wright function () which is the inverse Laplace transform of the single-parameter Mittag-Leffler (ML) function (). Be…
Tikhonov regularization for the deconvolution of capacitance from voltage-charge response of electrochemical capacitors
Anis Allagui, Ahmed Elwakil
The capacitance of capacitive energy storage devices can not be directly measured, but can be estimated from the input and output signals expressed in the time or frequency domains…
Observation of a Pinched-Loop in a Current-Excited Inductive Circuit
Ahmed S. Elwakil, Costas Psychalinos, Brent J. Maundy +1
In this work, we show that a pinched-loop can be observed in the voltage-current plane when a series R-L circuit is current excited. Specifically, the resistance (R) in this circui…
Time-domain Response of Supercapacitors using their Impedance Parameters and Fourier Series Decomposition of the Excitation Signal
Anis Allagui, Mohammed E. Fouda, Ahmed Elwakil +1
Supercapacitors are mostly recognized for their high power density capabilities and fast response time when compared to secondary batteries. However, computing their power in respo…
Information Encoding/Decoding using the Memory Effect in Fractional-order Capacitive Devices
Anis Allagui, Ahmed S. Elwakil
In this study, we show that the discharge voltage pattern of a fractional-order supercapacitor from the same initial steady-state voltage into a constant resistor is dependent on t…