Newman model

Example

Use in Lemonergy

Specify phase, direction and boundaries.

This is a reference concept. No executable Lemonergy block has been verified for this term.

Connected concepts

Related concepts from the knowledge graph. Connections show context, not cause and effect. Hover or focus a linked term for its definition.

Butler–Volmer equation

The kinetic law relating current density at an electrode to its overpotential: current grows exponentially with overpotential in each direction. It is the charge-transfer term in every physics-based cell model.

Fick’s second law

The time-dependent diffusion equation, ∂c/∂t = D ∂²c/∂x², obtained by combining Fick’s first law with conservation of mass. It is what a cell model solves inside each particle to follow lithium concentration over time.

Parameterisation

Measuring or fitting the numbers a model needs: OCV curves, diffusion coefficients, exchange current densities, thicknesses and porosities for a physics model, or resistances and time constants for a circuit model. It is usually most of the modelling effort.

Porous-electrode theory

The framework, due to Newman and co-workers, that treats a porous electrode as two overlapping continua — solid and electrolyte — exchanging current everywhere through their shared surface. It underlies every physics-based lithium-ion model.

PyBaMM

An open-source Python package for battery modelling that implements the single-particle, Newman and several degradation models with interchangeable sub-models. It has become the common reference implementation in academic battery modelling.

Single-particle model

A simplified physics model that represents each electrode as one spherical particle and neglects electrolyte gradients. It runs fast enough for a BMS and is accurate at low to moderate currents.

References & further reading

Technical references

1. Modeling of Galvanostatic Charge and Discharge of the Lithium/Polymer/Insertion Cell

   Marc Doyle, Thomas F. Fuller, John Newman · Journal of The Electrochemical Society · 1993

   Technical reference · Porous-electrode transport and insertion-cell modeling; foundational work rather than a specification for a particular commercial cell.

Further reading on this topic

These sources provide broader context; they are not presented as citations for every statement in this entry.

2. Quantities, Units and Symbols in Physical Chemistry, 3rd edition, 2nd printing

   IUPAC · 2011

   Topic background · Physical-chemistry notation, thermodynamics, electrochemistry and transport quantities.