Madeleine Ecker’s research while affiliated with RWTH Aachen University and other places

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Publications (36)


Scheme of the parameterization workflow of the global SoHC and the mechanistic model.
SoHC trajectories of all measured cells. Lines indicate the measurements we use for model parameterization. Outliers and measurements we attribute to the nonlinear regime are not considered in our model approach.
a) Balanced positive electrode potential curve with indicated lithiation degree at 0 % and 100 % SoC and resulting full cell potential calculated from the electrode potentials (dotted) and measured (line). b) Balanced negative electrode potential curve and contribution of σLLI that describes the inhomogeneous distribution of LLI in the electrode as superposition segments in parallel connection with varying LLI. c) Comparison between measured dU/dQ, the recreated dU/dQ from initial balancing and the recreated dU/dQ from the BOL‐Fit, respectively.
Component Losses estimated from the dU/dQ‐fitting algorithm. a) shows LLIcyc where calendar aging was alreay subtracted, whereas b–d) show the Losses as fitted.
Residuals between measured and predicted component losses and the overall RMSE of each component model based on parameterization data.

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Combining a Data Driven and Mechanistic Model to Predict Capacity and Potential Curve‐Degradation
  • Article
  • Publisher preview available

October 2024

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43 Reads

Jochen Stadler

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Johannes Fath

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Madeleine Ecker

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Arnulf Latz

This work compares a state of the art data‐driven model to predict the state of health (SoH) in lithium ion batteries with a new prediction model based on the mechanistic framework. The mechanistic approach attributes the degradation to individual components such as loss of available capacity on each electrode as well as loss of cyclable lithium. By combining the mechanistic framework with data‐driven models for the component losses based on a design of experiment, we achieve a cycle aging model that can predict capacity degradation as well as degradation‐induced changes to the discharge potential curve. Using this cycle aging model alongside with a semi‐empirical calendar aging model, we present a holistic aging model that we validate on independent validation tests containing time‐variant load profiles. While the purely data‐driven model is better at predicting the SoH, the mechanistic model clearly has it advantages in a deeper understanding that can potentially enhance the current methods of tracking and updating the characteristic open‐circuit voltage curve over lifetime.

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A four parameter model for the solid-electrolyte interphase to predict battery aging during operation

August 2022

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99 Reads

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21 Citations

Journal of Power Sources

Accurately predicting aging of lithium-ion batteries would help to prolong their lifespan, but remains a challenge owing to the complexity and interrelation of different aging mechanisms. As a result, aging prediction often relies on empirical or data-driven approaches, which obtain their performance from analyzing large datasets. However, these datasets are expensive to generate and the models are agnostic of the underlying physics and thus difficult to extrapolate to new conditions. In this article, a physical model is used to predict capacity fade caused by solid-electrolyte interphase (SEI) growth in 62 automotive cells, aged with 28 different protocols. Three protocols parametrize the time, current and temperature dependence of the model, the state of charge dependence results from the anode’s open circuit voltage curve. The model validation with the remaining 25 protocols shows a high predictivity with a root-mean squared error of 1.28%. A case study with the so-validated model shows that the operating window, i.e. maximum and minimum state of charge, has the largest impact on SEI growth, while the influence of the applied current is almost negligible. Thereby the presented model is a promising approach to better understand, quantify and predict aging of lithium-ion batteries.


Investigation and modeling of cyclic aging using a design of experiment with automotive grade lithium-ion cells

February 2022

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93 Reads

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22 Citations

Journal of Power Sources

60 large format automotive grade lithium-ion pouch cells with graphite/NMC chemistry are tested following a design of experiment. Realistic driving profiles resembling a plugin-hybrid electric vehicle are used with variation of five aging factors: temperature, maximum and minimum state of charge, charging power, and the ratio of charge depleting vs. charge sustaining cycling. Capacity fade is cleaned from calendar aging and multivariate stepwise linear regression is used to parameterize an empirical model of cyclic capacity fade. Temperature and the ratio between charge depleting and charge sustaining cycling show the biggest impact on cyclic aging, whereas charging power has little effect in the chosen range of aging conditions. The importance of considering interdependencies between aging factors for modeling is pointed out, major interdependencies are found between the factors temperature and charging power and between minimum and maximum state of charge. Leave-one-out cross validation is used to show the capability of the comparatively simple model approach to predict cyclic aging within the tested range.


Figure 1: Evaluation of LL and homogeneity of lithium distribution. a) State of health determined by C/10 capacity check. b) Exemplary DVA fitting of a single C/10 discharge curve considering local inhomogeneities by fitting a distribution of lithium loss. c) Capacity fade due to lithium loss (crosses) and fitted distribution indicating inhomogeneities (orange area). c-f) During post mortem analysis experimental cells (e) are built with coins from harvested electrodes to determine local capacity loss within a layer (d). C/100 discharge curves are further used for DVA analysis (f) to validate local LL after the end of test(c).
Figure 2: Comparison of experimental (orange crosses) and simulated (blue line) capacity fade during storage at T = 30 °C with 50% SoC.
Figure 7: a-c) Photographs of anode electrode layer taken from the stack and respective local capacities of experimental cells in colored relation to BoL. Photographs reveal a moderate aging over the entire electrode for Cell 39 and severe aging and plating mainly focused to the center of the electrode for Cells 37 and 51. d-f) Exemplary aging for the three different cells. Orange indicates the experimental results consisting of an average active lithium inventory (cross) and inhomogeneity (orange area). The blue line shows the simulated loss of active lithium caused by SEI-growth. Markers show the active lithium loss fitted to the local three electrode cells.
Towards a Physics-Based Battery Aging Prediction

December 2021

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734 Reads

Accurately predicting aging of lithium-ion batteries would help to prolong their lifespan, but remains a challenge owing to the complexity and interrelation of different aging mechanisms. As a result, aging prediction often relies on empirical or data-driven approaches, which obtain their performance from analyzing large datasets. However, these datasets are expensive to generate and the models are agnostic of the underlying physics and thus difficult to extrapolate to new conditions. In this article, a physical model is used to predict capacity fade caused by solid-electrolyte interphase (SEI) growth in 62 automotive cells, aged with 28 different protocols. Three protocols parametrize the time, current and temperature dependence of the model, the state of charge dependence results from the anode's open circuit voltage curve. The model validation with the remaining 25 protocols shows a high predictivity with a root-mean squared error of 1.28%. A case study with the so-validated model shows that the operating window, i.e. maximum and minimum state of charge, has the largest impact on SEI growth, while the influence of the applied current is almost negligible. Thereby the presented model is a promising approach to better understand, quantify and predict aging of lithium-ion batteries.



Investigation and modelling of cyclic aging using a design of experiment with automotive grade graphite/NMC lithium-ion cells

September 2021

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45 Reads

60 large format automotive grade lithium-ion pouch cells with graphite/NMC chemistry are tested following a design of experiment (DoE) approach. Realistic driving profiles resembling a plugin-hybrid electric vehicle are used with variation of five aging factors: temperature, maximum and minimum state of charge, charging power, and the ratio of charge depleting vs. charge sustaining cycling.Capacity fade is cleaned from calendar aging and multivariate stepwise linear regression is used to parameterize an empirical model of cyclic capacity fade.Temperature and the ratio between charge depleting and charge sustaining cycling show the biggest impact on cyclic aging, whereas charging power has little effect in the chosen range of aging conditions.



Fast charging of an electric vehicle lithium-ion battery at the limit of the lithium deposition process

July 2019

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911 Reads

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106 Citations

Journal of Power Sources

When charging a lithium-ion cell, the deposition of metallic lithium on the negative electrode surface, known as lithium plating, must be avoided. In this paper, the charging process of a commercial high energy lithium-ion pouch cell is investigated. Three-electrode test cells are assembled using electrode materials from the high energy lithium-ion pouch cell together with lithium metal as reference electrode to acquire the potential at the negative electrode-electrolyte interface. During charging, the cells’ current is controlled in a way that the negative electrode potential is maintained constantly slightly above 0 V vs. Li/Li⁺. The resulting current map depending on temperature and state of charge is used to control the charging process of the pouch cell. Following this new charging procedure, a state of charge of 80% is reached in 15 min at 25°C ambient temperature. Different cycle life tests are performed to examine iteratively an approach to how the charging current has to be reduced over the lifetime in order to avoid accelerated aging. To prove the practicability, the method is tested at the battery pack level.


Figure 1. Dependency of the electrolyte conductivity on the conducting salt concentration and temperature. Measured values are shown as points, the lines correspond to the regression function used according to Equation 1.
Figure 2. Electron microscopy picture of a cross-section through the anode. The fine structure on the surfaces of the electrode is a thin ceramic coating.
Figure 8. Temperature dependence of lithium diffusion in graphite (left) and NMC (right). Also shown is the resulting regression line for determining the activation energy.
Figure 9. Nyquist-plot of some EIS measurements of a full cell at 25 • C and excitation frequencies between 800 Hz and 19 mHz.
Full Cell Parameterization of a High-Power Lithium-Ion Battery for a Physico-Chemical Model: Part I. Physical and Electrochemical Parameters

December 2018

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2,256 Reads

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134 Citations

Physico-chemical models are key for a successful use of lithium-ion batteries, especially under extreme conditions. For correctly simulating of the internal battery states and battery aging a suitable set of material properties is needed. This work presents methods to extract these parameters from commercial cells and demonstrates them analyzing a high-power prismatic cell. In a first step, the electrolyte analysis is described, followed by an examination of the active material. The composition as well as the porous structure are measured using optical emission spectroscopy and Hg-porosimetry. To determine the electrochemical properties of the electrode materials, coin cells with lithium as counter electrode are build. With these test cells, open circuit voltage curves and galvanostatic intermittent titration technique measurements are performed to determine the electrode balancing as well as the diffusion constants of the active material. Electrochemical impedance spectroscopy experiments on the full cell are used to determine the charge transfer. In the second part of this paper, a determination of the thermal parameters as well as a validation for the complete parameterization are described.


Citations (23)


... However, the interested reader can find a comprehensive analysis of the underlying aging phenomena and dependencies in our previous works. [9,10] ...

Reference:

Combining a Data Driven and Mechanistic Model to Predict Capacity and Potential Curve‐Degradation
Comprehensive analysis of lithium-ion cells and their aging trajectory toward nonlinear aging
  • Citing Article
  • August 2023

Journal of Energy Storage

... Results from a charge analysis at a single C rate and discharge analyses at various C rates on a 7.5 Ah Kokam pouch cell, as described in References 11,23, are shown in Figure 4. A reasonably good correlation is observed between experimental measurements 11 and simulation results. ...

Parameterization of a Physico-Chemical Model for Lithium-Ion Batteries
  • Citing Article
  • October 2013

ECS Meeting Abstracts

... where C Li , s 0 is the concentration of neutral lithium atoms at the electrode-SEI interface, D Li 0 is the diffusivity of neutral lithium atoms and L SEI is the SEI thickness. 48,79 Electron tunnelling (ET) model.-Electron tunnelling is thought to limit the growth of the first few nanometres of the SEI, expected to be more compact than the SEI growth later on. ...

A four parameter model for the solid-electrolyte interphase to predict battery aging during operation
  • Citing Article
  • August 2022

Journal of Power Sources

... For this work we use the aging experiment presented in Ref. [11]. We tested a total of 62 pouch-bag type lithium-ion cells with a nominal capacity of 43 Ah with graphite on the negative and a blend of Li(Ni 0.6 Mn 0.2 Co 0.2 )O 2 and Li(Ni 1/3 Mn 1/3 Co 1/3 )O 2 on the positive electrode. ...

Investigation and modeling of cyclic aging using a design of experiment with automotive grade lithium-ion cells
  • Citing Article
  • February 2022

Journal of Power Sources

... Accurate prediction of the system outputs, including the terminal voltage, plating potential and SOC, is important to advance BMS functionalities, such as power capability prediction [56] and health-aware fast charging [10,57]. Table 1 shows the computational complexity, training dataset and numerical accuracy of the above three battery models in predicting these outputs, while Fig. 7g displays the trajectory of the plating potential. ...

Fast charging of an electric vehicle lithium-ion battery at the limit of the lithium deposition process
  • Citing Article
  • July 2019

Journal of Power Sources

... Two different cells were used for the simulation validation process. On the one hand, data from a high-power 28 Ah NMC/graphite cell was acquired from [9]. On the other hand, a LFP/graphite-Si cell was simulated to include a more challenging scenario in the validation process. ...

Full Cell Parameterization of a High-Power Lithium-Ion Battery for a Physico-Chemical Model: Part I. Physical and Electrochemical Parameters

... Kamrueng et al. and Li, Kaiyuan et al. [12][13] proposed an equivalent circuit model to mimic the OCV hysteresis phenomenon of lithium-ion batteries meanwhile estimate the battery state of charge (SoC). In addition to this, Gurjer et al. [14] proposed a simple but effective mathematical model based on the Thevenin theorem to precisely capture the charge and discharge characteristics of the battery [15]. However, in the Thevenin equivalent model, the equivalent source voltage and the equivalent resistance are varied with other non-electric elements, such as temperature, aging and etc. ...

Modelling Mechanical Degradation in Lithium-Ion Batteries during Cycling

... Deshalb migrieren, bei der Entladung die positiv geladene Teile von der Anode direkt durch den Separator zu der Kathode, während die Elektronen über den Leiter mit einem Verbraucher laufen.welche das Übertragen der positiv geladenen Lithium-Ionen zwischen der Anode und der Kathode ermöglichen(Ecker & Sauer, 2013). Der Separator ist eine mikro-poröse Membran, welche einen Kurzschluss verhindert und die positiven Ionen zwischen den beiden Elektroden frei passieren lässt. ...

Die Elektrifizierung des Antriebsstrangs. 8. Batterietechnik. Lithium-Ionen-Batterie

MTZ - Motortechnische Zeitschrift

... Unfortunately, there is no standard method for dismantling and inspecting degraded Li-ion batteries without compromising the integrity of the cell. [5][6][7][8][9] On the other hand, electrochemical impedance spectroscopy (EIS) is a powerful analytical technique with extensive applications in electrochemistry. EIS allows for the exploration of the characteristics of a system across a spectrum of frequencies, making it an effective research tool for analyzing complex electrochemical systems such as batteries. ...

Influence of operational condition on lithium plating for commercial lithium-ion batteries – Electrochemical experiments and post-mortemanalysis

Applied Energy

... Some studies indicate that V2X applications can financially benefit EV owners by enhancing the self-consumption rate of renewable energies, mitigating peak load power, facilitating frequency regulation, and enabling participation in electricity markets [8,24,25]. There is also research that focuses on understanding battery aging mechanisms and developing capacity estimation techniques [26][27][28]. It is noteworthy that, to the best of our knowledge, the general aging models presented in these studies have not been specifically calibrated to account for the characteristics of V2X-based EV operation. ...

CONCEPT OF A BATTERY AGING MODEL FOR LITHIUM-ION BATTERIES CONSIDERING THE LIFETIME DEPENDENCY ON THE OPERATION STRATEGY