Effective Current collector Resistance models

class pybamm.current_collector.EffectiveResistance(options=None, name='Effective resistance in current collector model')

A model which calculates the effective Ohmic resistance of the current collectors in the limit of large electrical conductivity. For details see [1]. Note that this formulation assumes uniform potential across the tabs. See pybamm.AlternativeEffectiveResistance2D for the formulation that assumes a uniform current density at the tabs (in 1D the two formulations are equivalent).

Parameters:

• options (dict) –

  A dictionary of options to be passed to the model. The options that can be set are listed below.

  • ”dimensionality”int, optional

    Sets the dimension of the current collector problem. Can be 1 (default) or 2.

• name (str, optional) – The name of the model.

References

[1]

R Timms, SG Marquis, V Sulzer, CP Please and SJ Chapman. “Asymptotic Reduction of a Lithium-ion Pouch Cell Model”. SIAM Journal on Applied Mathematics, 81(3), 765–788, 2021

Extends: BaseEffectiveResistance

post_process(solution, param_values, V_av, I_av)

Calculates the potentials in the current collector and the terminal voltage given the average voltage and current. Note: This takes in the processed V_av and I_av from a 1D simulation representing the average cell behaviour and returns a dictionary of processed potentials.

class pybamm.current_collector.AlternativeEffectiveResistance2D

A model which calculates the effective Ohmic resistance of the 2D current collectors in the limit of large electrical conductivity. This model assumes a uniform current density at the tabs and the solution is computed by first solving and auxilliary problem which is the related to the resistances.

Extends: BaseEffectiveResistance

post_process(solution, param_values, V_av, I_av)

Calculates the potentials in the current collector given the average voltage and current. Note: This takes in the processed V_av and I_av from a 1D simulation representing the average cell behaviour and returns a dictionary of processed potentials.