Abstract: Disclosed is an analytic sensitivity expression for parameters of a battery electrochemical model, based on model reduction and reformulation techniques such as the single particle assumption, Padé approximation, and Laplace transform. The analytic expressions of sensitivity are in a compact form with explicit relationship to the current input, which enables the direct optimization of the input-dependent sensitivity. The current optimization with maximum sensitivity may be performed for several critical battery electrochemical parameters, namely a solid-phase lithium diffusion coefficient, a volume fraction of the electrode active material, and a reaction rate constant. The electrochemical parameter may be reliably identified using the optimal current profile.

Abstract: Disclosed is an apparatus and method for mining battery characteristic data, which calculates a particle surface concentration (cse,i) of lithium from a first state space model derived from a Pade approximation equation of a transcendental transfer function, calculates a change ratio ? c se , i ? ( t ) ? D s , i of the particle surface concentration to the change in the solid phase diffusion coefficient from a second state space model for the partial derivative of the solid phase diffusion coefficient (Ds,i) of the electrode with respect to the Pade approximation equation, calculates an open circuit potential slope ? U i ? c se , i corresponding to the particle surface concentration by using an open circuit potential function (Ui), and stores voltage-current data in which the sensitivity of the battery voltage to the solid phase diffusion coefficient of the electrode calculated from ? U i ? c se , i ? ? and ? ? ? c se , i ? ( t ) ? D

Abstract: Disclosed is an apparatus and method for mining battery characteristic data, which calculates a particle surface concentration (cse,i) of lithium from a first state space model derived from a Pade approximation equation of a transcendental transfer function, calculates a change ratio ? ? c se , i ? ? ? ( t ) ? ? indicates text missing or illegible when filed of the particle surface concentration to the change in the active material volume fraction from a second state space model derived by the partial derivative of the Pade approximation equation, calculates a change ratio ? ? ? i ? ( t ) ? ? ? ? ? ? indicates text missing or illegible when filed of over-potential to the change in the active material volume fraction from the Butler-Vollmer equation, calculates a potential slope ? U i ? c se , i corresponding to the particle surface concentration by using an open circuit potential function, and stores voltage-current data in wh