Base Model#

class pybamm.BaseModel(name='Unnamed model')[source]#

Base model class for other models to extend.

name#

A string representing the name of the model.

Type:: str

submodels#

A dictionary of submodels that the model is composed of.

Type:: dict

use_jacobian#

Whether to use the Jacobian when solving the model (default is True).

Type:: bool

convert_to_format#

Specifies the format to convert the expression trees representing the RHS, algebraic equations, Jacobian, and events. Options are:

None: retain PyBaMM expression tree structure.

“python”: convert to Python code for evaluating evaluate(t, y) on expressions.

“casadi”: convert to CasADi expression tree for Jacobian calculation.

“jax”: convert to JAX expression tree.

Default is “casadi”.

Type:: str

is_discretised#

Indicates whether the model has been discretised (default is False).

Type:: bool

y_slices#

Slices of the concatenated state vector after discretisation, used to track different submodels in the full concatenated solution vector.

Type:: None or list

property algebraic#: Returns a dictionary mapping expressions (variables) to expressions that represent the algebraic equations of the model.

property boundary_conditions#: Returns a dictionary mapping expressions (variables) to expressions representing the boundary conditions of the model.

property calc_esoh#: Whether to include eSOH variables in the summary variables.

check_algebraic_equations(post_discretisation)[source]#: Check that the algebraic equations are well-posed. After discretisation, there must be at least one StateVector in each algebraic equation.

check_discretised_or_discretise_inplace_if_0D()[source]#: Discretise model if it isn’t already discretised This only works with purely 0D models, as otherwise the mesh and spatial method should be specified by the user

check_ics_bcs()[source]#: Check that the initial and boundary conditions are well-posed.

check_no_repeated_keys()[source]#: Check that no equation keys are repeated.

check_well_determined(post_discretisation)[source]#: Check that the model is not under- or over-determined.

check_well_posedness(post_discretisation=False)[source]#

Check that the model is well-posed by executing the following tests: - Model is not over- or underdetermined, by comparing keys and equations in rhs and algebraic. Overdetermined if more equations than variables, underdetermined if more variables than equations. - There is an initial condition in self.initial_conditions for each variable/equation pair in self.rhs - There are appropriate boundary conditions in self.boundary_conditions for each variable/equation pair in self.rhs and self.algebraic

Parameters:: post_discretisation (boolean) – A flag indicating tests to be skipped after discretisation

property concatenated_algebraic#: Returns the concatenated algebraic equations for the model after discretisation.

property concatenated_initial_conditions#: Returns the initial conditions for all variables after discretization, providing the initial values for the state variables.

property concatenated_rhs#: Returns the concatenated right-hand side (RHS) expressions for the model after discretisation.

property coupled_variables#: Returns a dictionary mapping strings to expressions representing variables needed by the model but whose equations were set by other models.

property default_geometry#: Returns a dictionary of the default geometry for the model, which is empty by default.

property default_parameter_values#: Returns the default parameter values for the model (an empty set of parameters by default).

property default_quick_plot_variables#: Returns the default variables for quick plotting (None by default).

property default_solver#: Returns the default solver for the model, based on whether it is an ODE/DAE or algebraic model.

property default_spatial_methods#: Returns a dictionary of the default spatial methods for the model, which is empty by default.

property default_submesh_types#: Returns a dictionary of the default submesh types for the model, which is empty by default.

property default_var_pts#: Returns a dictionary of the default variable points for the model, which is empty by default.

classmethod deserialise(properties: dict)[source]#: Create a model instance from a serialised object.

property events#: Returns a dictionary mapping expressions (variables) to expressions that represent the initial conditions for the state variables.

export_casadi_objects(variable_names, input_parameter_order=None)[source]#

Export the constituent parts of the model (rhs, algebraic, initial conditions, etc) as casadi objects.

Parameters:

variable_names (list) – Variables to be exported alongside the model structure
input_parameter_order (list, optional) – Order in which the input parameters should be stacked. If input_parameter_order=None and len(self.input_parameters) > 1, a ValueError is raised (this helps to avoid accidentally using the wrong order)

Returns:

casadi_dict – Dictionary of {str: casadi object} pairs representing the model in casadi format

Return type:

dict

generate(filename, variable_names, input_parameter_order=None, cg_options=None)[source]#

Generate the model in C, using CasADi.

Parameters:

filename (str) – Name of the file to which to save the code
variable_names (list) – Variables to be exported alongside the model structure
input_parameter_order (list, optional) – Order in which the input parameters should be stacked. If input_parameter_order=None and len(self.input_parameters) > 1, a ValueError is raised (this helps to avoid accidentally using the wrong order)
cg_options (dict) – Options to pass to the code generator. See https://web.casadi.org/docs/#generating-c-code

property geometry#: Returns the geometry of the model.

get_parameter_info(by_submodel=False)[source]#

Extracts the parameter information and returns it as a dictionary. To get a list of all parameter-like objects without extra information, use model.parameters.

Parameters:: by_submodel (bool, optional) – Whether to return the parameter info sub-model wise or not (default False)

info(symbol_name)[source]#

Provides helpful summary information for a symbol.

Parameters:: symbol_name (str)

property initial_conditions#: Returns a dictionary mapping expressions (variables) to expressions that represent the initial conditions for the state variables.

property input_parameters#: Returns a list of all input parameter symbols used in the model.

property is_standard_form_dae#: Check if the model is a DAE in standard form with a mass matrix that is all zeros except for along the diagonal, which is either ones or zeros.

property jacobian#: Returns the Jacobian matrix for the model, computed automatically if use_jacobian is True.

property jacobian_algebraic#: Returns the Jacobian matrix for the algebraic part of the model, computed automatically during solver setup if use_jacobian is True.

property jacobian_rhs#: Returns the Jacobian matrix for the right-hand side (RHS) part of the model, computed if use_jacobian is True.

latexify(filename=None, newline=True, output_variables=None)[source]#

Converts all model equations in latex.

Parameters:

filename (str (optional)) – Accepted file formats - any image format, pdf and tex Default is None, When None returns all model equations in latex If not None, returns all model equations in given file format.
newline (bool (optional)) – Default is True, If True, returns every equation in a new line. If False, returns the list of all the equations.
model (Load)
pybamm.lithium_ion.SPM() (>>> model =)
png (This will returns all model equations in)
doctest (>>> model.latexify(newline=False) #)
latex (This will return all the model equations in)
doctest
equations (This will return first five model)
doctest
equations
model.latexify(newline=False)[1 (>>>)

property mass_matrix#: Returns the mass matrix for the system of differential equations after discretisation.

property mass_matrix_inv#: Returns the inverse of the mass matrix for the differential equations after discretisation.

new_copy()[source]#: Creates a copy of the model, explicitly copying all the mutable attributes to avoid issues with shared objects.

property options#: Returns the model options dictionary that allows customization of the model’s behavior.

property param#: Returns a dictionary to store parameter values for the model.

property parameters#: Returns a list of all parameter symbols used in the model.

print_parameter_info(by_submodel=False)[source]#

Print parameter information in a formatted table from a dictionary of parameters

Parameters:: by_submodel (bool, optional) – Whether to print the parameter info sub-model wise or not (default False)

process_parameters_and_discretise(symbol, parameter_values, disc)[source]#

Process parameters and discretise a symbol using supplied parameter values and discretisation. Note: care should be taken if using spatial operators on dimensional symbols. Operators in pybamm are written in non-dimensional form, so may need to be scaled by the appropriate length scale. It is recommended to use this method on non-dimensional symbols.

Parameters:

symbol (pybamm.Symbol) – Symbol to be processed
parameter_values (pybamm.ParameterValues) – The parameter values to use during processing
disc (pybamm.Discretisation) – The discrisation to use

Returns:

Processed symbol

Return type:

pybamm.Symbol

property rhs#: Returns a dictionary mapping expressions (variables) to expressions that represent the right-hand side (RHS) of the model’s differential equations.

save_model(filename=None, mesh=None, variables=None)[source]#

Write out a discretised model to a JSON file

Parameters:

filename (str, optional)
provided (The desired name of the JSON file. If no name is)
created (one will be)
name (based on the model)
datetime. (and the current)

set_initial_conditions_from(solution, inplace=True, return_type='model')[source]#

Update initial conditions with the final states from a Solution object or from a dictionary. This assumes that, for each variable in self.initial_conditions, there is a corresponding variable in the solution with the same name and size.

Parameters:

solution (pybamm.Solution, or dict) – The solution to use to initialize the model
inplace (bool, optional) – Whether to modify the model inplace or create a new model (default True)
return_type (str, optional) – Whether to return the model (default) or initial conditions (“ics”)

update(*submodels)[source]#

Update model to add new physics from submodels

Parameters:: submodel (iterable of pybamm.BaseModel) – The submodels from which to create new model

property variables#: Returns a dictionary mapping strings to expressions representing the model’s useful variables.

property variables_and_events#: Returns a dictionary containing both models variables and events.