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The battery electrodes are porous and have complicated microstructures due to irregular sizes and shapes of pores. Electrode design parameters like porosity, thickness, particle size, and conductivity can vary from one local area to another in one cell. Even under the normal operating current, some local areas may experience over-charge/over-discharge, extensive degradation, and rapid heat generation. These local events are not easy to observe or measure at onset and can eventually lead to catastrophic failure of the whole cell if no actions are taken. Battery design parameters are treated as constant values in many electrochemical battery models. However, the uncertainty of these parameters has an adverse effect on the longevity and safety of batteries. To prevent any catastrophic failure, a battery model is needed to predict any potential over-charge/over-discharge and rapid heat generation caused by internal uncertainty.