Quantifying Cell-to-Cell Variations in Lithium Ion Batteries
(a) Superimposing sensitivity data from Figures 4 and 5. (b) Construction of the norm-bounded uncertainties for the individual parameters: the smallest disc corresponds to the uncertainty in the cathode thickness, the medium-sized disc to that of the cathode porosity, and the largest to the particle size within the cathode. (c) Determining the overall uncertainty in the impedance response at 1 mHz: the dashed circumcircle shows the uncertainty region covering the influence of the variations in the individual parameters. (d) Setting the nominal value for the cathode thickness at 75 μm instead of 70 μm moves the individual uncertainty disc from the solid circle shown in (c) to the dotted circle, and the overall uncertainty from the dashed circumcircle to coincide with the individual disc corresponding to that of the porosity variations.
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