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Abstract

A mathematical model for double-layer and faradaic processes in microsupercapacitor using finite element analysis is presented here. Different from previous work, the mathematical model here can be applied to an asymmetric geometrical model, other than traditional layer-to-layer structure. COMSOL Multiphysics 4.2 software is used to solve the system of partial differential equations, in order to simulate the electrochemical reactions in the electrodes of the microsupercapacitor dynamically. A microsupercapacitor was designed and fabricated according to the geometrical model, and charge/discharge curves were obtained by the galvanostatic charge/discharge test. The potential curves show good agreement with the simulation results and display the typical behavior of a steady voltage rise and subsequently a steady voltage drop during a cycle of charge and discharge. Besides, the H⁺ ion concentration profile development during charge and discharge can also be obtained through the simulation. Thus, the mode in this work can play a significant role in studying the detailed electrochemical process and predicting the performance of the supercapacitor.

Keywords

Microsupercapacitor finite element analysis dynamical modeling COMSOL asymmetric capacitor

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References

Newman

Thomas

Hafezi

. Modeling of lithium-ion batteries. J Power Sources 2003; 119–121: 838–843.

Doyle

Newman

Comparison of modeling predictions with experimental data from plastic lithium ion cells. J Electrochem Soc 1996; 143(6): 1890–1903.

Fuller

Doyle

Newman

Simulation and optimization of the dual lithium ion insertion cell. J Electrochem Soc 1994; 141(1): 1–10.

Lin

Ritter

Popov

. A mathematical model of an electrochemical capacitor with double-layer and faradaic processes. J Electrochem Soc 1999; 146(9): 3168–3175.

Farsi

Gobal

Theoretical analysis of the performance of a model supercapacitor consisting of metal oxide nano-particles. J Solid State Electr 2007; 11: 1085–1092.

Farsi

Gobal

A mathematical model of nanoparticulate mixed oxide pseudocapacitors. Part I: model description and particle size effects. J Solid State Electr 2009; 13: 433–443.

Farsi

Gobal

A mathematical model of nanoparticulate mixed oxide pseudocapacitors. Part II: the effects of intrinsic factors. J Solid State Electr 2011; 15: 115–123.

Jow

Zheng

JP.

Electrochemical capacitors using hydrous ruthenium oxide and hydrogen inserted ruthenium oxide. J Electrochem Soc 1998; 145(1): 49–52.

Yeu

White

RE.

Mathematical model of a lithium polypyrrole cell. J Electrochem Soc 1990; 137: 1327–1336.

10.

Pillay

Newman

The influence of side reactions on the performance of electrochemical double-layer capacitors. J Electrochem Soc 1996; 143: 1806–1814.

11.

Thomas

Newman

Darling

. Modeling of lithium batteries. In: Scrosati B

van Schalkwijk

(eds) Advances in lithium-ion batteries. New York: Kluwer Academic Publishers, 2002, pp. 345–350.

12.

White

Lorimer

Dardy

Prediction of the current-density at an electrode at which multiple electrode-reactions occur under potentiostatic control. J Electrochem Soc 1983; 143: 1123–1126.

13.

Pollak

O’Grady

WE.

Irreversible voltammetric behavior of the (100) IrO₂ single-crystal electrodes in sulfuric-acid medium. J Electrochem Soc 1985; 132: 2385–2390.

14.

Trasatti

Lodi

. Properties of conductive transition metal oxides with rutile-type structure. In: Trasatti

(ed.) Electrodes of conductive metallic oxides: part A. New York: Elsevier, 1980, pp. 30–358.

Modeling and simulating a microelectromechanical system microsupercapacitor

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