Chaturvedi, Nalin A. (Robert Bosch LLC), Christensen, Jake (Robert Bosch LLC), Klein, Reinhardt (Robert Bosch LLC), Kojic, Aleksandar (Robert Bosch Research and Technology Center North America)

Approximations for Partial Differential Equations Appearing in Li-Ion Battery Models

Scheduled for presentation during the Contributed session "Battery Systems" (TuBT4), Tuesday, October 22, 2013, 13:30−13:50, Paul Brest West

6th Annual Dynamic Systems and Control Conference, October 21-23, 2020, Stanford University, Munger Center, Palo Alto, CA

This information is tentative and subject to change. Compiled on April 26, 2024

Abstract

Li-ion based batteries are believed to be the most promising battery system for HEV/PHEV/EV applications due to their high energy density, lack of hysteresis and low self-discharge currents. However, designing a battery, along with its Battery Management System (BMS), that can guarantee safe and reliable operation, is a challenge since aging and other mechanisms involving optimal charge and discharge of the battery are not sufficiently well understood. In a previous article [1], we presented a model that has been studied in [2]–[5] to understand the operation of a Li-ion battery. In this article, we continue our work and present an approximation technique that can be applied to a generic Li-ion battery model. These approximation method is based on projecting solutions to a Hilbert subspace formed by taking the span of an countably infinite set of basis functions. In this article, we apply this method to the key diffusion equation in the battery model, thus providing a fast approximation for the single particle model (SPM) for both variable and constant diffusion case.