NISC Center would like to congratulate Dr. Ahmed G. Radwan for his accepted Journal Papers in 2016, Which is published in the Journal of Energy
- E. Fouda, A.S. Elwakil, A.G. Radwan, A. Allagui, “Power and energy analysis of fractional-order electrical energy storage devices,” Energy, http://dx.doi.org/10.1016/j.energy.2016.05.104.
Characterizing and modeling electrical energy storage devices is essential for their proper integration in larger systems. However, basic circuit elements, i.e. resistors, inductors, and capacitors, are not well-suited to explain their complex frequency-dependent behaviors. Instead, fractional-order models, which are based on non-integer-order differential equations in the time-domain and include for instance the constant phase element (CPE), are mathematically more fit to this end. Here, the electrical power and energy of fractional-order capacitance and inductance are derived in both steady-state and transient conditions, and verified using a number of commercial supercapacitors and fractional-order coils. A generalized expression for the energy stored in a supercapacitor/fractional-order inductor is derived and found to depend on the capacitance/inductance and the dispersion coefficient of the device, as well as on the properties of the applied voltage waveform.