New Parameter Identification Method for Supercapacitor Model

Abstract

The paper introduces a straightforward procedure for estimating the electrical parameters of a simple, but reasonably accurate, two-branches model of a supercapacitor (SC). The equivalent electrical circuit model includes the voltage and frequency dependence on the SC's capacitance, neglecting the selfdischarge phenomenon, so it is mainly devoted to short and mid-term simulations suitable for most industrial applications. The estimation procedure of the electrical parameters starts by analysing the experimental data achieved by a common constant-current discharge test. Such data are used to build a fitting function which is compared with the analytical solution and numerical approximations for the SC's voltage evolution. Thus, initial estimated values of the electrical parameters are obtained through simple relations and are optimised by implementing the least squares method. The procedure is validated after an easy and fast extraction of the optimal parameters of the two-branches model of an SC. Several tests involving a commercial SC have been carried out in Simulink and the results have been compared against experimental data. A good accuracy of the two-branches model in a wide range of constant-current charging/discharging cycles is reported.

A Novel Supercapacitor Model Parameters Identification Method Using Metaheuristic Gradient-Based Optimization Algorithms

“…Modeling and characterization of supercapacitors have been extensively investigated using electrochemical impedance spectroscopy (EIS) approaches [13][14][15][16] or time response experiments and simulations [17][18][19][20]. Both techniques aim to provide a variety of equivalent circuit representations that are required for characterizing the state of the SC cell in the course of operation.…”

Analysis and simulation of electric power systems for aerospace Applications

“…Power converters devoted to the regulation of output voltage have been found to have efficiency curves as described in Figs. 3.10a and 3.10b. The model presented in Section 2.2.3 describes quite well the performance of the power converter for current values lower than then one that maximizes efficiency.…”

“…. 4.17 Comparison of the first discharging cycling and approximated one by secondorder polynomial function 𝑓 (𝑡) [3], [124]. .…”

“…4.18 Time evolution of the 2.7 V 3000 F Maxwell SC voltage, 𝑣 SC , and absolute error, 𝐸, between the experimental data and the simulation during four charge-discharge cycles at different constant currents. The blue and the orange lines (left axis) represent the measurements and the simulated data, respectively, and the green lines represents the absolute error (right axis) [3], [124] voltage, between the experimental data and the simulation during four chargedischarge cycles at different constant currents [3], [124]. .…”

“…. 4.20 Mean relative error, 𝑒, of the 2.7 V 3000 F Maxwell SC voltage between the experimental data and the simulation during four charge-discharge cycles at different constant currents [3], [124] 28 Mass of an hybrid (gray) and traditional (black) energy storage system as function of the mean eclipse power, 𝑃 𝑒 , for peak loads, 𝑃 peak of 100 W, 200 W and 300 W (dotted, dashed and solid lines, respectively). First row (i.e., (a) (b) and (c)), second row (i.e., (d) (e) and (f)) and third row (i.e., (g) (h) and (i)) correspond to 1, 5 and 15 number of pulses, 𝑛 𝑐 .…”