Network Formulations

Type Hierarchy

We begin with the top of the hierarchy, where we can distinguish between gas flow models. Currently, there are two variations of the weymouth equations, one where the directions of flux are known and one where they are unknown.

AbstractDirectedGasFormulation <: AbstractGasFormulation
AbstractUndirectedGasFormulation <: AbstractGasFormulation

Each of these have a disjunctive form of the weymouth equations: The full non convex formulation and its conic relaxation.

AbstractMINLPForm <: AbstractGasFormulation
AbstractMISOCPForm <: AbstractGasFormulation

Gas Models

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

MINLPGasModel = GenericGasModel(StandardMINLPForm)
MISOCPGasModel = GenericGasModel(StandardMISOCPForm)
MIPGasModel = GenericGasModel(StandardMIPForm)

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}

Directed Models

Undirected Models

MINLP

GasModels.constraint_weymouth — Method.

Weymouth equation with discrete direction variables

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GasModels.constraint_weymouth — Method.

Weymouth equation with discrete direction variables

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GasModels.constraint_weymouth_directed — Method.

Weymouth equation with fixed direction

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GasModels.constraint_weymouth_ne — Method.

Weymouth equation for an uexpansion pipe

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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 a pipe

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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 directed flow

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GasModels.constraint_weymouth_ne — Method.

Weymouth equation for an expansion pipe

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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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