Physics-Based Equivalent Circuit Model Motivated by the Doyle–Fuller–Newman Model

This work introduces a sophisticated impedance-based equivalent circuit model of the electrochemical processes inside a lithium-ion battery cell. The influence on the electrical voltage response is derived and merged into a mathematical calculation framework describing all fundamental phenomena insi...

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Main Authors: Stephan Bihn, Jonas Rinner, Heiko Witzenhausen, Florian Krause, Florian Ringbeck, Dirk Uwe Sauer
Format: Article
Language:English
Published: MDPI AG 2024-09-01
Series:Batteries
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Online Access:https://www.mdpi.com/2313-0105/10/9/314
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author Stephan Bihn
Jonas Rinner
Heiko Witzenhausen
Florian Krause
Florian Ringbeck
Dirk Uwe Sauer
author_facet Stephan Bihn
Jonas Rinner
Heiko Witzenhausen
Florian Krause
Florian Ringbeck
Dirk Uwe Sauer
author_sort Stephan Bihn
collection DOAJ
description This work introduces a sophisticated impedance-based equivalent circuit model of the electrochemical processes inside a lithium-ion battery cell. The influence on the electrical voltage response is derived and merged into a mathematical calculation framework describing all fundamental phenomena inside a battery. The parameters, whose sole influences on the electric behaviour cannot be separated at the cell level, are summarised to derive a model with purely electrical quantities. We significantly reduce the model order compared to a physicochemical model while ensuring a minimal approximation error. Utilising the findings from the model derivation, we develop a parameterisation procedure to separate the individual processes occurring in the battery and to support a hypothesis of the assignment to positive and negative electrodes based on several indicia. For this purpose, electrochemical impedance spectroscopy and correlation analysis are used to calculate the distribution of the time constants. The final parameterised model has physics-based parameter variations, which ensures that the simulation over broad ranges of temperatures and states of charge results in a reasonable voltage response. The model’s physical basis enables extrapolation beyond the measured operation area, and the model verification shows less than a 10 mV root mean square error over a wide range of operations.
format Article
id doaj-art-3c8d0797040e44dab5fbe680fc7bb13d
institution OA Journals
issn 2313-0105
language English
publishDate 2024-09-01
publisher MDPI AG
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series Batteries
spelling doaj-art-3c8d0797040e44dab5fbe680fc7bb13d2025-08-20T01:56:10ZengMDPI AGBatteries2313-01052024-09-0110931410.3390/batteries10090314Physics-Based Equivalent Circuit Model Motivated by the Doyle–Fuller–Newman ModelStephan Bihn0Jonas Rinner1Heiko Witzenhausen2Florian Krause3Florian Ringbeck4Dirk Uwe Sauer5Chair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, GermanyChair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, GermanyChair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, GermanyChair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, GermanyChair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, GermanyChair for Electrochemical Energy Conversion and Storage Systems, Institute for Power Electronics and Electrical Drives (ISEA), RWTH Aachen University, Campus Boulevard 89, 52074 Aachen, GermanyThis work introduces a sophisticated impedance-based equivalent circuit model of the electrochemical processes inside a lithium-ion battery cell. The influence on the electrical voltage response is derived and merged into a mathematical calculation framework describing all fundamental phenomena inside a battery. The parameters, whose sole influences on the electric behaviour cannot be separated at the cell level, are summarised to derive a model with purely electrical quantities. We significantly reduce the model order compared to a physicochemical model while ensuring a minimal approximation error. Utilising the findings from the model derivation, we develop a parameterisation procedure to separate the individual processes occurring in the battery and to support a hypothesis of the assignment to positive and negative electrodes based on several indicia. For this purpose, electrochemical impedance spectroscopy and correlation analysis are used to calculate the distribution of the time constants. The final parameterised model has physics-based parameter variations, which ensures that the simulation over broad ranges of temperatures and states of charge results in a reasonable voltage response. The model’s physical basis enables extrapolation beyond the measured operation area, and the model verification shows less than a 10 mV root mean square error over a wide range of operations.https://www.mdpi.com/2313-0105/10/9/314derivation of a physics-based electrical battery modelparameterisation results discussionlinking model parameters to physical processessimulation of the battery model over a wide operation range
spellingShingle Stephan Bihn
Jonas Rinner
Heiko Witzenhausen
Florian Krause
Florian Ringbeck
Dirk Uwe Sauer
Physics-Based Equivalent Circuit Model Motivated by the Doyle–Fuller–Newman Model
Batteries
derivation of a physics-based electrical battery model
parameterisation results discussion
linking model parameters to physical processes
simulation of the battery model over a wide operation range
title Physics-Based Equivalent Circuit Model Motivated by the Doyle–Fuller–Newman Model
title_full Physics-Based Equivalent Circuit Model Motivated by the Doyle–Fuller–Newman Model
title_fullStr Physics-Based Equivalent Circuit Model Motivated by the Doyle–Fuller–Newman Model
title_full_unstemmed Physics-Based Equivalent Circuit Model Motivated by the Doyle–Fuller–Newman Model
title_short Physics-Based Equivalent Circuit Model Motivated by the Doyle–Fuller–Newman Model
title_sort physics based equivalent circuit model motivated by the doyle fuller newman model
topic derivation of a physics-based electrical battery model
parameterisation results discussion
linking model parameters to physical processes
simulation of the battery model over a wide operation range
url https://www.mdpi.com/2313-0105/10/9/314
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