Constraints

Constraint Templates

Constraint templates help simplify data wrangling across multiple Gas Flow formulations by providing an abstraction layer between the network data and network constraint definitions. The constraint template's job is to extract the required parameters from a given network data structure and pass the data as named arguments to the Gas Flow formulations.

These templates should be defined over GenericGasModel and should not refer to model variables. For more details, see the files: core/constraint_template.jl and core/constraint.jl.

Junction Constraints

Flow Balance Constraints

constraint_junction_flow_balance

Load Shedding Constraints

constraint_junction_flow_balance_ls

Network Expansion Constraints

constraint_junction_flow_balance_ne
constraint_junction_flow_balance_ne_ls

Pipe Constraints

Weymouth's Law Constraints

GasModels.constraint_weymouth — Function.

Weymouth equation with discrete direction variables

Weymouth equation with discrete direction variables

Weymouth equation with fixed direction variables

Weymouth equation with discrete direction variables

Weymouth equation with directed flow

Direction On/off Constraints

GasModels.constraint_on_off_pressure_drop — Function.

constraints on pressure drop across pipes

constraints on pressure drop across pipes

constraints on pressure drop across pipes

GasModels.constraint_on_off_pipe_flow_direction — Function.

constraints on flow across pipes

constraints on flow across pipes where the directions are fixed

constraints on flow across pipes

Network Expansion Constraints

GasModels.constraint_weymouth_ne — Function.

Weymouth equation with discrete direction variables for MINLP

Weymouth equation with discrete direction variables for MINLP

Weymouth equation with fixed directions for MINLP

Weymouth equation with discrete direction variables for MINLP

Weymouth equation with fixed direction

GasModels.constraint_on_off_pressure_drop_ne — Function.

constraints on pressure drop across pipes

constraints on pressure drop across pipes when the direction is fixed

constraints on pressure drop across pipes

GasModels.constraint_on_off_pipe_flow_direction_ne — Function.

constraints on flow across pipes

constraints on flow across pipes when directions are fixed

constraints on flow across pipes

Compressor Constraints

Direction On/off Constraints

GasModels.constraint_on_off_compressor_flow_direction — Function.

constraints on flow across compressors

constraints on flow across compressors when directions are constants

constraints on flow across compressors

GasModels.constraint_on_off_compressor_ratios — Function.

enforces pressure changes bounds that obey compression ratios

on/off constraint for compressors when the flow direction is constant

enforces pressure changes bounds that obey compression ratios

Network Expansion Constraints

GasModels.constraint_on_off_compressor_flow_direction_ne — Function.

constraints on flow across compressors

constraints on flow across compressors when the directions are constants

constraints on flow across compressors

GasModels.constraint_on_off_compressor_ratios_ne — Function.

constraints on pressure drop across control valves

constraints on pressure drop across control valves

Control Valve Constraints

Direction On/off Constraints

GasModels.constraint_on_off_control_valve_flow_direction — Function.

constraints on flow across control valves

constraints on flow across control valves when directions are constants

constraints on flow across control valves

GasModels.constraint_on_off_control_valve_pressure_drop — Function.

constraints on pressure drop across control valves

constraints on pressure drop across control valves when directions are constants

constraints on pressure drop across control valves

Valve Constraints

Direction On/off Constraints

GasModels.constraint_on_off_valve_flow_direction — Function.

constraints on flow across valves

constraints on flow across valves when directions are constants

constraints on flow across valves

GasModels.constraint_on_off_valve_pressure_drop — Function.

constraints on pressure drop across valves

constraints on pressure drop across valves

Short Pipes

Direction On/off Constraints

GasModels.constraint_on_off_short_pipe_flow_direction — Function.

constraints on flow across short pipes

constraints on flow across short pipes when the directions are constants

constraints on flow across short pipes

GasModels.constraint_short_pipe_pressure_drop — Function.

constraints on pressure drop across pipes

constraints on pressure drop across pipes

Direction Cutting Constraints

GasModels.constraint_source_flow — Function.

Make sure there is at least one direction set to take flow away from a junction (typically used on source nodes)

Make sure there is at least one direction set to take flow away from a junction (typically used on source nodes)

GasModels.constraint_sink_flow — Function.

Make sure there is at least one direction set to take flow to a junction (typically used on sink nodes)

Make sure there is at least one direction set to take flow to a junction (typically used on sink nodes)

GasModels.constraint_conserve_flow — Function.

This constraint is intended to ensure that flow is on direction through a node with degree 2 and no production or consumption

This constraint is intended to ensure that flow is on direction through a node with degree 2 and no production or consumption

GasModels.constraint_parallel_flow — Function.

ensures that parallel lines have flow in the same direction

ensures that parallel lines have flow in the same direction

Network Expansion Constraints

GasModels.constraint_source_flow_ne — Function.

Make sure there is at least one direction set to take flow away from a junction (typically used on source nodes)

Make sure there is at least one direction set to take flow away from a junction (typically used on source nodes)

GasModels.constraint_sink_flow_ne — Function.

Make sure there is at least one direction set to take flow to a junction (typically used on sink nodes)

Make sure there is at least one direction set to take flow to a junction (typically used on sink nodes)

GasModels.constraint_conserve_flow_ne — Function.

This constraint is intended to ensure that flow is on direction through a node with degree 2 and no production or consumption

This constraint is intended to ensure that flow is on direction through a node with degree 2 and no production or consumption

GasModels.constraint_parallel_flow_ne — Function.

ensures that parallel lines have flow in the same direction

ensures that parallel lines have flow in the same direction