Network Formulations

Type Hierarchy

We begin with the top of the hierarchy, where we can distinguish between gas flow models. There are currently five formulations supported in GasModels. Two full non convex formulations and three relaxations.

AbstractNLPForm <: AbstractGasFormulation
AbstractMINLPForm <: AbstractGasFormulation
AbstractMISOCPForm <: AbstractGasFormulation
AbstractMIPForm <: AbstractGasFormulation
AbstractLPForm <: AbstractGasFormulation

Gas Models

Each of these forms can be used as the type parameter for a GasModel, i.e.:

NLPGasModel = GenericGasModel(StandardNLPForm)
MINLPGasModel = GenericGasModel(StandardMINLPForm)
MISOCPGasModel = GenericGasModel(StandardMISOCPForm)
MIPGasModel = GenericGasModel(StandardMIPForm)
LPGasModel = GenericGasModel(StandardLPForm)

For details on GenericGasModel, see the section on Gas Model.

User-Defined Abstractions

The user-defined abstractions begin from a root abstract like the AbstractGasFormulation abstract type, i.e.

AbstractMyFooForm <: AbstractGasFormulation

StandardMyFooForm <: AbstractFooForm
FooGasModel = GenericGasModel{StandardFooForm}

NLP

GasModels.constraint_compressor_ratios — Method.

enforces pressure changes bounds that obey compression ratios for an undirected compressor.

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GasModels.constraint_compressor_ratios_ne — Method.

constraints on pressure drop across a compressor

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GasModels.constraint_on_off_control_valve_pressure — Method.

constraints on pressure drop across control valves that are undirected

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GasModels.constraint_weymouth — Method.

Weymouth equation with absolute value

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GasModels.constraint_weymouth_directed — Method.

Weymouth equation with one way direction

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GasModels.constraint_weymouth_ne — Method.

Weymouth equation for an undirected expansion pipe

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GasModels.constraint_weymouth_ne_directed — Method.

Weymouth equation for directed expansion pipes

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MINLP

GasModels.constraint_weymouth — Method.

Weymouth equation with discrete direction variables

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GasModels.constraint_weymouth_directed — Method.

Weymouth equation with one way direction

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GasModels.constraint_weymouth_ne — Method.

Weymouth equation for an undirected expansion pipe

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GasModels.constraint_weymouth_ne_directed — Method.

Weymouth equation for directed expansion pipes

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MISOCP

GasModels.constraint_weymouth — Method.

Weymouth equation for an undirected pipe

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GasModels.constraint_weymouth_directed — Method.

Weymouth equation with a pipe with one way flow

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GasModels.constraint_weymouth_ne — Method.

Weymouth equation for an undirected expansion pipe

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GasModels.constraint_weymouth_ne_directed — Method.

Weymouth equation for expansion pipes with undirected expansion pipes

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GasModels.variable_mass_flow — Method.

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GasModels.variable_mass_flow_ne — Method.

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MIP

GasModels.constraint_compressor_ratios — Method.

Constraint: Compressor ratio constraints on pressure differentials–not applicable for MIP models

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GasModels.constraint_compressor_ratios_directed — Method.

Constraint: Compressor ratio when the flow direction is constrained–not applicable for MIP models

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GasModels.constraint_compressor_ratios_ne — Method.

Constraint: compressor ratios on a new compressor–not applicable for MIP models-not applicable for MIP models

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GasModels.constraint_compressor_ratios_ne_directed — Method.

Constraint: Pressure drop across an expansion compressor when direction is constrained-not applicable for MIP models

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GasModels.constraint_on_off_control_valve_pressure — Method.

constraints on pressure drop across control valves that are undirected–not applicable for MIP models

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GasModels.constraint_on_off_control_valve_pressure_directed — Method.

Constraint: Pressure drop across a control valves when directions is constrained–not applicable for MIP models

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GasModels.constraint_on_off_valve_pressure — Method.

Constraint: Constraints on pressure drop across valves where the valve can open or close–not applicable for MIP models

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GasModels.constraint_pipe_pressure — Method.

Constraint: Constraints which define pressure drop across a pipe

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GasModels.constraint_pipe_pressure_directed — Method.

Constraint: constraints on pressure drop across where direction is constrained

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GasModels.constraint_pipe_pressure_ne — Method.

Constraint: constraints on pressure drop across an expansion pipe

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GasModels.constraint_pressure_ne_directed — Method.

Constraint: Pressure drop across an expansion pipe when direction is constrained–not applicable for MIP models

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GasModels.constraint_short_pipe_pressure — Method.

Constraint: Constraint on pressure drop across a short pipe–not applicable for MIP models

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GasModels.constraint_weymouth — Method.

Constraint: Weymouth equation–not applicable for MIP models

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GasModels.constraint_weymouth_directed — Method.

Constraint: Weymouth equation with one way direction–not applicable for MIP models

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GasModels.constraint_weymouth_ne — Method.

Constraint: Weymouth equation–not applicable for MIP models–not applicable for MIP models

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GasModels.constraint_weymouth_ne_directed — Method.

Constraint: Weymouth equation–not applicable for MIP models–not applicable for MIP models

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LP

GasModels.constraint_compressor_ratios — Method.

Constraint: Compressor ratio constraints on pressure differentials–not applicable for LP models

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GasModels.constraint_compressor_ratios_directed — Method.

Constraint: Compressor ratio when the flow direction is constrained–not applicable for LP models

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GasModels.constraint_compressor_ratios_ne — Method.

Constraint: compressor ratios on a new compressor–not applicable for MIP models-not applicable for LP models

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GasModels.constraint_compressor_ratios_ne_directed — Method.

Constraint: Pressure drop across an expansion compressor when direction is constrained-not applicable for LP models

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GasModels.constraint_on_off_control_valve_pressure — Method.

constraints on pressure drop across control valves that are undirected–not applicable for LP models

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GasModels.constraint_on_off_control_valve_pressure_directed — Method.

Constraint: Pressure drop across a control valves when directions is constrained–not applicable for LP models

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GasModels.constraint_on_off_valve_pressure — Method.

Constraint: Constraints on pressure drop across valves where the valve can open or close–not applicable for LP models

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GasModels.constraint_pipe_pressure — Method.

Constraint: Constraints which define pressure drop across a pipe

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GasModels.constraint_pipe_pressure_directed — Method.

Constraint: constraints on pressure drop across where direction is constrained

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GasModels.constraint_pipe_pressure_ne — Method.

Constraint: constraints on pressure drop across an expansion pipe

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GasModels.constraint_pressure_drop_ne_directed — Method.

Constraint: Pressure drop across an expansion pipe when direction is constrained–not applicable for LP models

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GasModels.constraint_short_pipe_pressure — Method.

Constraint: Constraint on pressure drop across a short pipe–not applicable for LP models

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GasModels.constraint_weymouth — Method.

Constraint: Weymouth equation–not applicable for LP models

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GasModels.constraint_weymouth_directed — Method.

Constraint: Weymouth equation with one way direction–not applicable for LP models

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GasModels.constraint_weymouth_ne — Method.

Constraint: Weymouth equation–not applicable for MIP models–not applicable for LP models

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GasModels.constraint_weymouth_ne_directed — Method.

Constraint: Weymouth equation–not applicable for MIP models–not applicable for LP models

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GasModels.variable_valve_operation — Method.

continous relaxation of variables associated with operating valves

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