Using Table (T,c)

The Table (T,c) method is available for specifying liquid electrolyte properties when using the Concentrated Electrolyte or the Li-Ion Battery Cell models. The table lists corresponding values of temperature and concentration for the given material properties.

For battery cell simulations, it is sometimes necessary to account for non-ideal electrolyte properties, as the behavior of battery cells depends on both temperature and concentration. In such cases, you are recommended to define the temperature-concentration dependent material properties using a Table (T,c) method. This involves creating a lookup table that contains experimentally or theoretically derived data on material properties for different temperature and concentration combinations.

A (T,c) table consists of three columns: one for the material property itself, and two additional columns that give corresponding values of temperature and concentration. By default, a linear-piecewise interpolation method is used for interpolating between data points in the table. If the point lies outside the table range, the function value is computed at the nearest data point in the table.

The following material properties can be defined with the Table (T,c) method :
  • Cation Transference Number
  • Concentrated Solution Correction to Salt Diffusivity
  • Electrical Conductivity
  • Lithium/Salt Diffusivity
  • Molecular Diffusivity (for Component Molecular Diffusivity when the Concentrated Electrolyte model is activated)
  • Non-Ideal Solution Correction to Salt Migration

Table (T,c) Properties

Table Selects a table from the Tools > Tables node.
Table: Data Identifies the selected column in the table file as the Data (for example, molecular diffusivity) column.
Table: Temperature Identifies the table column containing the temperature values.
Table: Concentration Identifies the table column containing the salt concentration values.

Table (T,c) Expert Properties

Table Format Read-only. Reports the format of the table data. Before the data is read and processed, the state is Unprocessed. Afterward, the state is one of the following:
  • Cartesian: Data is stored on equally spaced grid points.
  • Structured: Data is stored on grid points that are regularly spaced but not equally spaced.
  • Unstructured: Data is stored on irregularly spaced grid points.

See Cartesian and Structured Tables.

Verbose Provides more output for this value while the simulation is running. This property can be useful for debugging problems when they occur.
Cubic Interpolation

When On, provides smoother interpolation between table values than the default linear-piecewise method, and reduces simulation iteration time. This option is supported only for 1D and 2D Cartesian and Structured tables, as described in the Table Format property. This requires relatively smooth data to produce reliable results. For sudden jumps such as phase changes, use the default linear-piecewise method.