Abstract

We present a one-dimensional, radial, coupled degradation-electrochemical-thermal (DET) model of a large format cylindrical lithium ion cell. The model consists of reduced order equations that describe the electrochemical phenomena, including that associated with degradation, coupled with an approximate model of thermal behavior. The reduced order electrochemical model, which is approximated from the pseudo-two-dimensional (P2D) electrochemical model using a Padé approximation method, computes the variation of electrochemical variables and heat generation terms. Simultaneously, a coupled thermal model computes the temperature distribution in the radial direction of the cell. The results from DET model compare favorably to those obtained from solving the 1D radial coupled degradation-electrochemical-thermal partial differential equations in COMSOL Multiphysics, however the DET model returns these results in significantly reduced computational times. Importantly, the model capability in providing insightful information of cell degradation and temperature in a computationally efficient manner paves the way for the health-conscious, real-time optimal control of large format cylindrical cells.

Highlights

  • In order to operate batteries optimally, with the intention of maintaining safety and extending battery life, a battery management system (BMS) is essential.[3]

  • The P2D model, consists of five partial differential equations (PDEs) and one algebraic equation, which cannot be practically implemented in embedded BMS applications, without simplification or order reduction, due to their high computational requirement.[9]

  • Subramanian et al.,[21] used finite difference approximations and polynomial representations to reduce a system of 12 coupled PDEs into a system of Differential Algebraic Equations (DAEs), which are amenable to be used in battery control

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Summary

Introduction

In order to operate batteries optimally, with the intention of maintaining safety and extending battery life, a battery management system (BMS) is essential.[3]. We propose an efficient 1-dimensional, radial, coupled degradation-electrochemical-thermal model of a spirally wound, cylindrical lithium ion battery, noted hereafter as the DET model.

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