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”. Submitted, 2020.

Extends: pybamm.BaseModel

property default_solver

Return default solver based on whether model is ODE/DAE or algebraic

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: pybamm.BaseModel

property default_solver

Return default solver based on whether model is ODE/DAE or algebraic

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.