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Effective management and just-in-time maintenance of lithium-ion batteries require the knowledge of unmeasured (internal) variables that need to be estimated. Observers are thus designed for this purpose using a mathematical model of the…

Systems and Control · Electrical Eng. & Systems 2023-04-20 E. Petri , T. Reynaudo , R. Postoyan , D. Astolfi , D. Nesic , S. Rael

Computer experiments are becoming increasingly important in scientific investigations. In the presence of uncertainty, analysts employ probabilistic sensitivity methods to identify the key-drivers of change in the quantities of interest.…

Methodology · Statistics 2024-07-02 Isadora Antoniano-Villalobos , Emanuele Borgonovo , Xuefei Lu

We tackle the problem of system identification, where we select inputs, observe the corresponding outputs from the true system, and optimize the parameters of our model to best fit the data. We propose a practical and computationally…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Alexandros E. Tzikas , Mykel J. Kochenderfer

An isothermal porous-electrode model of a discharging lead-acid battery is presented, which includes an extension of concentrated-solution theory that accounts for excluded-volume effects, local pressure variation, and a detailed…

Chemical Physics · Physics 2020-06-05 Valentin Sulzer , S. Jon Chapman , Colin P. Please , David A. Howey , Charles W. Monroe

A generic algorithm for the extraction of probabilistic (Bayesian) information about model parameters from data is presented. The algorithm propagates an ensemble of particles in the product space of model parameters and outputs. Each…

Computation · Statistics 2015-09-18 Carlo Albert

Accurate and reliable state of charge (SoC) estimation becomes increasingly important to provide a stable and efficient environment for Lithium-ion batteries (LiBs) powered devices. Most data-driven SoC models are built for a fixed ambient…

Machine Learning · Computer Science 2021-01-12 Yan Qin , Stefan Adams , Chau Yuen

This work presents a methodology to estimate tire parameters and their uncertainty using a Bayesian optimization approach. The literature mainly considers the estimation of tire parameters but lacks an evaluation of the parameter…

Robotics · Computer Science 2025-04-30 Sven Goblirsch , Benedikt Ruhland , Johannes Betz , Markus Lienkamp

A derivation of the single particle model (SPM) is made from a porous electrode theory model (or Newman model) of half-cell (dis)charge for an electrode composed of uniformly sized spherical electrode particles of a single chemistry. The…

Chemical Physics · Physics 2019-07-23 G. Richardson , I. Korotkin , R. Ranom. M. Castle , J. M. Foster

Accurately predicting the lifespan of lithium-ion batteries is crucial for optimizing operational strategies and mitigating risks. While numerous studies have aimed at predicting battery lifespan, few have examined the interpretability of…

Machine Learning · Computer Science 2024-04-12 Jaewook Lee , Seongmin Heo , Jay H. Lee

This paper presents the development of machine learning-enabled data-driven models for effective capacity predictions for lithium-ion batteries under different cyclic conditions. To achieve this, a model structure is first proposed with the…

Machine Learning · Computer Science 2021-01-05 Kailong Liu , Xiaosong Hu , Zhongbao Wei , Yi Li , Yan Jiang

We consider Bayesian analysis of a class of multiple changepoint models. While there are a variety of efficient ways to analyse these models if the parameters associated with each segment are independent, there are few general approaches…

Computation · Statistics 2009-10-19 Paul Fearnhead , Zhen Liu

Bayesian inference provides a principled way of estimating the parameters of a stochastic process that is observed discretely in time. The overdamped Brownian motion of a particle confined in an optical trap is generally modelled by the…

Data Analysis, Statistics and Probability · Physics 2017-02-01 Sudipta Bera , Shuvojit Paul , Rajesh Singh , Dipanjan Ghosh , Avijit Kundu , Ayan Banerjee , R. Adhikari

Design of experiments has traditionally relied on the frequentist hypothesis testing framework where the optimal size of the experiment is specified as the minimum sample size that guarantees a required level of power. Sample size…

Methodology · Statistics 2025-08-07 Shirin Golchi , Luke Hagar

In this work, a stochastic, physics-based model for Lithium-ion batteries (LIBs) is presented in order to study the effects of parametric model uncertainties on the cell capacity, voltage, and concentrations. To this end, the proposed…

Computational Physics · Physics 2015-09-17 Mohammad Hadigol , Kurt Maute , Alireza Doostan

Mathematical models of real life phenomena are highly nonlinear involving multiple parameters and often exhibiting complex dynamics. Experimental data sets are typically small and noisy, rendering estimation of parameters from such data…

Chaotic Dynamics · Physics 2017-05-11 Abhirup Ghosh , Samit Bhattacharyya , Somdatta Sinha , Amit Apte

Fault diagnosis is extremely important to the safe operation of Lithium-ion batteries. To avoid severe safety issues (e.g., thermal runaway), initial faults should be timely detected and resolved. In this paper, we consider…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Ziyou Song , Fanny Pinto Delgado , Jun Hou , Heath Hofmann , Jing Sun

The Bayesian approach to the prediction of particle type given measurements of particle location is explored, using a parametric model whose prior is based on the transformation group. Two types of particle are considered, and locations are…

Data Analysis, Statistics and Probability · Physics 2013-06-17 Robert W. Johnson

This paper investigates the observability of one of the most commonly used equivalent circuit models (ECMs) for lithium-ion batteries and presents a method to estimate the state of charge (SOC) in the presence of sensor biases, highlighting…

Systems and Control · Computer Science 2016-05-05 Shi Zhao , Stephen R. Duncan , David A. Howey

A major challenge in the development of new battery materials is understanding their fundamental mechanisms of operation and degradation. Their microscopically inhomogeneous nature calls for characterization tools that provide operando and…

This manuscript presents an algorithm for individual Lithium-ion (Li-ion) battery cell state of charge (SOC) estimation in a large-scale battery pack under minimal sensing, where only pack-level voltage and current are measured. For battery…

Systems and Control · Electrical Eng. & Systems 2021-09-20 Dong Zhang , Luis D. Couto , Ross Drummond , Shashank Sripad , Venkatasubramanian Viswanathan
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