Abstract

• A calendar ageing model is developed under the Gaussian process framework. • A new covariance function is composed, tailored to Li-ion battery ageing prediction. • Especial emphasis on the ability of the model to learn from new data observations. • Sensitivity analysis of the model, and analysis of the uncertainty quantification. • Validation with 32 cells, for broad range of static and dynamic storage conditions. Conventional Li-ion battery ageing models, such as electrochemical, semi-empirical and empirical models, require a significant amount of time and experimental resources to provide accurate predictions under realistic operating conditions. At the same time, there is significant interest from industry in the introduction of new data collection telemetry technology. This implies the forthcoming availability of a significant amount of real-world battery operation data. In this context, the development of ageing models able to learn from in-field battery operation data is an interesting solution to mitigate the need for exhaustive laboratory testing. In a series of two papers, a data-driven ageing model is developed for Li-ion batteries under the Gaussian Process framework. A special emphasis is placed on illustrating the ability of the Gaussian Process model to learn from new data observations, providing more accurate and confident predictions, and extending the operating window of the model. This first paper focusses on the systematic modelling and experimental verification of cell degradation through calendar ageing. A specific covariance function is composed, tailored for use in a battery ageing application. Over an extensive dataset involving 32 cells tested during more than three years, different training possibilities are contemplated in order to quantify the minimal number of laboratory tests required for the design of an accurate ageing model. A model trained with only 18 tested cells achieves an overall mean-absolute-error of 0.53% in the capacity curves prediction, after being validated under a broad window of both dynamic and static temperature and SOC storage conditions.

Highlights

  • Lithium-ion (Li-ion) battery technology has gained a significant market share as the principal energy storage solution for many industrial applications, mainly due to its high energy efficiency and high specific energy and power [1,2]

  • The present study aims to extend existing research by integrating the following main contributions: (i) The analysis of the ability of Gaussian Process (GP) models to learn from new data, illustrating their capability to provide more accurate and confident ageing predictions when integrating previously unobserved operating conditions, extending this way the operating window of the model

  • A calendar capacity loss model is developed based on the Gaussian Process framework

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Summary

Introduction

Lithium-ion (Li-ion) battery technology has gained a significant market share as the principal energy storage solution for many industrial applications, mainly due to its high energy efficiency and high specific energy and power [1,2]. These gaps strongly limit the accuracy and applicability of the models within the context of real deployment In this sense, investigation in data-driven Li-ion ageing models should be more focussed on the implementation or discovery of features presenting strong predictive capabilities (as suggested in [24]), as well as the deeper validation of the developed models under broad operating conditions. Both sections aim to illustrate the ability of the GP model to learn from new data observation.

Experimental calendar ageing data
Experimental ageing tests at static operating conditions
Experimental ageing tests at dynamic operating conditions
Data preprocessing
Gaussian process theory
Input selection
Kernel construction
Learning from static operating conditions
Evaluation metrics
Training case studies to illustrate the learning of new operating conditions
Prediction results
Learning from dynamic operating conditions
Conclusions

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