The galvanostatic charge and discharge of a dual lithium ion insertion
(rocking-chair) cell are modeled. Transport in the electrolyte is des
cribed with concentrated solution theory. Insertion of lithium into an
d out of the active electrode material is simulated using superpositio
n, greatly simplifying the numerical calculations. Simulation results
are presented for the LixC6\propylene carbonate +1M LiClO4\LiyMn2O4 ce
ll, and these results are compared with experimental data from the lit
erature. Criteria are established to assess the importance of diffusio
n in the solid matrix and of transport in the electrolytic solution. V
arious procedures to optimize the utilization of active material are c
onsidered. Simulation results for the dual lithium ion insertion cell
are compared with those for a cell with a solid lithium negative elect
rode.