A simplified computational model for solid-state lithium microbatteries

Lithium microbatteries are replacing conventional power sources in many microsystems areas such as wireless sensors and biomedical monitors [1-2]. In many of these applications, compact models of microbatteries are needed both at the microsystems design stage and at the real-time power management stage. These compact models are typically derived from physics-based discretized formulations. We have developed a simplified partial-differential equation (PDE) model for an allsolid state Li metal microbattery. The simplified PDE model was solved using a finite-difference scheme implemented in Matlab. The simplified model is within 2% of the full non-linear model yet runs 6 times faster.