Ferran Brosa Planella

The University of Warwick · Warwick Mathematics Institute

Presented here, is an extensive 35 parameter experimental data set of a cylindrical 21700 commercial cell (LGM50), for an electrochemical pseudo-two-dimensional (P2D) model. The experimental methodologies for tear-down and subsequent chemical, physical, electrochemical kinetics and thermodynamic analysis, and their accuracy and validity are discuss...

The widely used Doyler-Fuller-Newman (DFN) model for lithium-ion batteries is too computationally expensive for certain applications, which has motivated the appearance of a plethora of simpler models. These models are usually posed in an ad hoc manner, leading to inconsistencies with the DFN model and to multiple formulations of the same model, wi...

Physics-based electrochemical battery models derived from porous electrode theory are a very powerful tool for understanding lithium-ion batteries, as well as for improving their design and management. Different model fidelity, and thus model complexity, is needed for different applications. For example, in battery design we can afford longer compu...

Battery degradation, which is the reduction of performance over time, is one of the main roadblocks to the wide deployment of lithium-ion batteries. Physics-based models, such as those based on the Doyle-Fuller-Newman model, are invaluable tools to understand and predict such phenomena. However, these models are often too complex for practical appl...

The DFN (Doyle-Fuller-Newman) model is well know for being accurate and computationally expensive. In situations where temperature gradients are important (eg fast charging) it is desirable to couple the temperature dynamics within a battery into the DFN model. This leads to even greater computational complexity. Inspired by the work of Marquis et...

Battery degradation, which is the reduction of performance over time, is one of the main roadblocks to the wide deployment of lithium-ion batteries. Physics-based models, such as those based on the Doyle-Fuller-Newman (DFN) model, are invaluable tools to understand and predict such phenomena. However, these models are often too complex for practica...

To accurately predict the lifetime of commercial cells, multi-physics models can be used, however the accuracy of the model is heavily reliant upon the quality of the input thermodynamics and kinetic parameters. The thermal properties and the variability of the transport and thermodynamic properties with temperature and state-of-charge (SoC) in a h...

Lithium-ion batteries can last many years but sometimes exhibit rapid, nonlinear degradation that severely limits battery lifetime. Here, we review prior work on “knees” in lithium-ion battery aging trajectories. We first review definitions for knees and three classes of “internal state trajectories” (termed snowball, hidden, and threshold trajecto...

The Doyle--Fuller--Newman framework is the most popular physics-based continuum-level description of the chemical and dynamical internal processes within operating lithium-ion-battery cells. With sufficient flexibility to model a wide range of battery designs and chemistries, the framework provides an effective balance between detail, needed to cap...

Physics-based electrochemical battery models derived from porous electrode theory are a very powerful tool for understanding lithium-ion batteries, as well as for improving their design and management. Different model fidelity, and thus model complexity, is needed for different applications. For example, in battery design we can afford longer compu...

Electrification of transport and other energy intensive activities is of growing importance as it provides an underpinning method to reduce carbon emissions. With an increase in reliance on renewable sources of energy and a reduction in the use of more predictable fossil fuels in both stationary and mobile applications, energy storage will play a p...

To accurately predict the lifetime of commercial cells, multi-physics models can be used, however the accuracy of the model is heavily reliant upon the quality of the input thermodynamics and kinetic parameters. The thermal properties and the variability of the transport and thermodynamic properties with temperature and state-of-charge (SoC) in a h...

Lithium-ion batteries can last many years but sometimes exhibit rapid, nonlinear degradation that severely limits battery lifetime. In this work, we review prior work on "knees" in lithium-ion battery aging trajectories. We first review definitions for knees and three classes of "internal state trajectories" (termed snowball, hidden, and threshold...

The Doyle-Fuller-Newman framework is the most popular physics-based continuum-level description of the chemical and dynamical internal processes within operating lithium-ion-battery cells. With sufficient flexibility to model a wide range of battery designs and chemistries, the framework provides an effective balance between detail, needed to captu...

Babies born with a single functioning heart ventricle instead of two require a series of surgeries during the first few years of life to redirect their blood flow, resulting in a Fontan circulation. Patients with Fontan circulations have excellent early survival; however, over time, their circulations begin to fail, ultimately resulting in their de...

Physics-based battery models are a very powerful tool to study batteries as they provide insight on the internal states, such as the concentrations or potentials. However, these models are very complex and running them is computationally expensive, which makes them not suitable for many applications such as parameter estimation and battery control....

To develop better thermal-electrochemical models of lithium-ion batteries it is essential to obtain parameter sets that accurately describe the system. Parameters sets of commercial cells provide more utility to the research community as they are relevant in real-world applications that consequently require improved battery management systems. Howe...

The widely used Doyler-Fuller-Newman (DFN) model for lithium-ion batteries is too computationally expensive for certain applications, which has motivated the appearance of a plethora of simpler models. These models are usually posed in an ad hoc manner, leading to inconsistencies with the DFN model and to multiple formulations of the same model, an...

Human towers or castells are human structures played in festivals mainly in Catalonia. These unique cultural and traditional displays have become very popular in the last years, but they date from the XVIII century. On 2010 they became part of the Unesco Representative List of the Intangible Cultural Heritage of Humanity. Safety is very important i...

Thermal electrochemical models for porous electrode batteries (such as lithium ion batteries) are widely used. Due to the multiple scales involved, solving the model accounting for the porous microstructure is computationally expensive; therefore, effective models at the macroscale are preferable. However, these effective models are usually postula...

We study the extended Stefan problem which includes constitutional supercooling for the solidification of a binary alloy in a finite spherical domain. We perform an asymptotic analysis in the limits of large Lewis number and small Stefan number which allows us to identify a number of spatio-temporal regimes signifying distinct behaviours in the sol...

Thermal electrochemical models for porous electrode batteries (such as lithium ion batteries) are widely used. Due to the multiple scales involved, solving the model accounting for the porous microstructre is computationally expensive, therefore effective models at the macroscale are preferable. However, these effective models are usually postulate...

The pseudo two-dimensional (P2D) model proposed by Fuller, Doyle and Newman [1] has taken a predominant role in the modelling of lithium-ion batteries. This model gives accurate predictions of the electrochemical behaviour over a wide range of C-rate conditions but requires further development when simulating the cell voltage with temperature depen...

Electrochemical models of batteries are typically developed from first principles and aim to accurately capture the internal battery dynamics such as diffusion, intercalation kinetics, and electric potentials. Underpinned by such models, battery state or parameter behaviour can be better understood and manipulated by sophisticated estimation and co...

Solidification processes are crucial for many industrial applications, and understanding these processes is important if one wants to improve various material production techniques. The dynamics of some solidification processes can be modelled using Stefan problems, a type of free boundary problem. The aim of this dissertation is to study different...

We formulate and study dynamics from a complex Ginzburg–Landau system with saturable nonlinearity, including asymmetric cross-phase modulation (XPM) parameters. Such equations can model phenomena described by complex Ginzburg–Landau systems under the added assumption of saturable media. When the saturation parameter is set to zero, we recover a gen...

Understanding the solidification process of a binary alloy is important if one is to control the microstructure obtained during the casting of metals. Whilst much work has been done on the steady-state solidification problem, despite their relevance to metallurgical applications, there is less known about non-steady solidification problems and thei...

The discovery of Pluto's small moons in the last decade brought attention to the dynamics of the dwarf planet's satellites. Recent work has considered resonant interactions in the orbits of Pluto's small moons, with the Pluto-Charon system apparently inducing rotational chaos in non-spherical moons without the need of resonance. However, New Horizo...

The problem of scene content in moving images was brought by Aralia. The goal in this study group was to consider two problems. The first was image segmentation and the second is the context of the scene. These problems were explored in different areas, namely the Bayesian approach to image segmentation, shadow detection, shape recognition and back...

This project presents the mathematical model of two passive walkers for non-constant slopes. It is based on the existing models of the rimless wheel and the compass walker.