Double‐Layer Capacitance in a Dual Lithium Ion Insertion Cell

The addition of double-layer capacitance into a mathematical model of a dual lithium ion insertion cell is investigated. Double-layer capacitance is introduced in both the negative electrode and the positive electrode. For the purposes of this paper, a Li{sub x}C{sub 6}{vert{underscore}bar}propylene carbonate + 1 M LiClO{sub 4}{vert{underscore}bar}Li{sub y}Mn{sub 2}O{sub 4} cell is used for the collection of simulation results. Simulation results on the effect of short-time pulses passed through the cell are presented. Differences in the transient potential response in the negative and positive electrodes at short times are made between an electrode with a resistive film and one without and between situations with small and large rates of change of the open-circuit potential with state of charge. A simpler resistive-capacitive model is developed which clarifies many features of the modified behavior due to the capacitance but without simultaneously dealing with the discharge of the active material and concentration gradients.