A generalized multi-dimensional mathematical model for charging and discharging processes in a supercapacitor

Journal Article · Wed Jan 01 04:00:00 EST 2014 · Journal of Power Sources

DOI:https://doi.org/10.1016/j.jpowsour.2014.01.054· OSTI ID:1120448

Allu, Srikanth ^[1]; Velamur Asokan, Badri ^[2]; Shelton, William A ^[3]; Philip, Bobby ^[1]; Pannala, Sreekanth ^[1]

---

1. ORNL
2. Exxon Mobil Research and Engineering
3. Louisiana State University

A generalized three dimensional computational model based on unied formulation of electrode- electrolyte-electrode system of a electric double layer supercapacitor has been developed. The model accounts for charge transport across the solid-liquid system. This formulation based on volume averaging process is a widely used concept for the multiphase ow equations ([28] [36]) and is analogous to porous media theory typically employed for electrochemical systems [22] [39] [12]. This formulation is extended to the electrochemical equations for a supercapacitor in a consistent fashion, which allows for a single-domain approach with no need for explicit interfacial boundary conditions as previously employed ([38]). In this model it is easy to introduce the spatio-temporal variations, anisotropies of physical properties and it is also conducive for introducing any upscaled parameters from lower length{scale simulations and experiments. Due to the irregular geometric congurations including porous electrode, the charge transport and subsequent performance characteristics of the super-capacitor can be easily captured in higher dimensions. A generalized model of this nature also provides insight into the applicability of 1D models ([38]) and where multidimensional eects need to be considered. In addition, simple sensitivity analysis on key input parameters is performed in order to ascertain the dependence of the charge and discharge processes on these parameters. Finally, we demonstarted how this new formulation can be applied to non-planar supercapacitors

• Research Organization: Oak Ridge National Laboratory (ORNL)
• Sponsoring Organization: SC USDOE - Office of Science (SC)
• DOE Contract Number: AC05-00OR22725
• OSTI ID: 1120448
• Journal Information: Journal of Power Sources, Journal Name: Journal of Power Sources Vol. 256; ISSN 0378-7753
• Country of Publication: United States
• Language: English

Related Subjects

Single Domain
Super Capacitor
Volume Averaging