A Repeated Measurements Approach to $SoH$ Battery Modelling of Cyclic Aged Data in a Laboratory Environment

📅 2026-08-20
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🤖 AI Summary
该研究通过一阶线性化非线性重复测量方法分析实验室环境下电池老化数据,使用正则化迭代广义最小二乘参数识别方案来预测电池健康状态。
📝 Abstract
This document describes the application of a first order linearised nonlinear repeated measurements approach to the analysis of battery cell ageing profiles generated under controlled conditions in a laboratory. The primary advantage of the model is it reflects the obvious structure in the data. Consequently, it is a two-component of variance model: variation within ageing profiles (measurement noise) and variation among ageing profiles (test-to-test or cell-to-cell) variation. Novel regularised iterative generalised least squares parameter identification schemes, with optimal hyper-parameter re-estimation, are used to identify the hierarchical nonlinear model. The training data comprised $SoH$ profiles for 10 cells aged at various constant discharge and charge current cycles at a fixed chamber environmental temperature of 25 [$^\circ$C]. Each cell $SoH$ profile is modelled using a simple power law expression, whereas the variation in ageing parameters is modelled using a single knot cubic B-spline. $SoH$ is accurately predicted to $\pm 0.191\%$ for $SOH \in [0,20]$.
Problem

Research questions and friction points this paper is trying to address.

battery ageing
repeated measurements
state of health (SoH)
variance model
laboratory environment
Innovation

Methods, ideas, or system contributions that make the work stand out.

repeated measurements approach
two-component of variance model
regularised iterative generalised least squares
optimal hyper-parameter re-estimation
cubic B-spline
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M
Mark Cary
Department of Aeronautical and Automotive Engineering, Loughborough University, Loughborough, LE11 3TU, UK
C
Charles Bokor
School of Engineering, Computing and Mathematics, Oxford Brookes University, Oxford OX33 1HX, UK