A framework for simplification of PDE-based lithium-ion battery models
Journal article, 2016

Simplified models are commonly used in battery management and control, despite their (often implicit) limitations in capturing the dynamic behavior of the battery across a wide range of operating conditions. This paper seeks to develop a framework for battery model simplification starting from an initial high-order physics-based model that will explicitly detail the assumptions underpinning the development of simplified battery models. Starting from the basis of a model capturing the electrochemical, thermal, electrical, and aging dynamics in a set of partial differential equations, a systematic approach based on singular perturbations and averaging is used to simplify the dynamics through identification of disparate timescales inherent in the problem. As a result, libraries of simplified models with interconnections based on the specified assumptions are obtained. A quantitative comparison of the simplified models relative to the original model is used to justify the model reductions. To demonstrate the utility of the framework, a set of battery charging strategies is evaluated at reduced computational effort on simplified models.

battery models

lithium-ion (Li-ion) battery

model simplification

singular perturbation

Averaging

Author

Changfu Zou

Chalmers, Signals and Systems, Systems and control, Automatic Control

Chris Manzie

Dragan Nesic

IEEE Transactions on Control Systems Technology

1063-6536 (ISSN)

Vol. 24 5 1594-1609

Subject Categories

Computational Mathematics

Robotics

Control Engineering

Other Electrical Engineering, Electronic Engineering, Information Engineering

DOI

10.1109/TCST.2015.2502899

More information

Latest update

8/20/2018