Rivus Model Attributes

Extracted from create_model() in source code:

View as list or table

SETS

• Commodity

  • commodity: Commodities
  • co_demand: Commodities that have demand in edges
  • co_source: Commodities that may have a source at some vertex/vertices
  • co_transportable: Commodities that may be transported through edges
  • co_allowed_max: Commodities that have a maximum allowed generation (e.g. CO2

• Prozess

  • process: Processes, converting commodities in vertices
  • process_input_tuples: Commodities consumed by processes
  • process_output_tuples: Commodities emitted by processes

• Hub

  • hub: Hub processes, converting commodities in edges

• Time

  • time: Timesteps

• Strorage

  • storage: Connection points between edges, for source and processes

• Graph

  • edge: Undirected street segments, for demand and hubs
  • arc: Directed street segments, for power flows

• Costs

  • cost_type: supply (kW of commodity in edge at time

VARIABLES

• Edges and Arcs

  • Pin: power flow (kW of commodity into arc at time
  • Pot: power flow (kW of commodity out of arc at time
  • Psi: 1 if (directed! arc is used at time, 0 else
  • Pmax: power flow capacity (kW for commodity in edge
  • Xi: 1 if (undirected! edge is used for commodity at all, 0 else

• Vertices

  • Rho: source stream (kW of commodity from vertex

• Hubs

  • Kappa_hub: capacity (kW of hub process in an edge
  • Epsilon_hub: acitvity (kW of hub process in edge at time

• Processes

  • Kappa_process: capacity (kW of process in vertex
  • Phi: 1 if process in vertex has Kappa_process > 0, 0 else
  • Tau: power flow (kW through process
  • Epsilon_in: power flow (kW of commodity into process
  • Epsilon_out: power flow (kW of commodity out of process

• Costs

  • costs: costs (EUR by cost type

EQUATION DECLARATIONS

• Edges and Arcs

  • peak_satisfaction: peak must be satisfied by Sigma and hub process output
  • edge_equation: Sigma is provided by arc flow difference Pin-Pot in either direction
  • arc_flow_by_capacity: Pin <= Pmax
  • arc_flow_unidirectionality: Pin <= Cmax * Psi
  • arc_unidirectionality: Psi[i,j,t] + Psi[j,i,t] <= 1
  • edge_capacity: Pmax <= Cmax * Xi

• Hubs

  • hub_supply: Hub inputs <= Sigma
  • hub_output_by_capacity: Epsilon_hub <= Kappa_hub
  • hub_capacity: Kappa_hub <= Cmax

• Vertices

  • vertex_equation: Rho >= Process balance + Arc flow balance
  • source_vertices: Rho <= Cmax

• Commodity

  • commodity_maximum: Net commodity generation <= allowed-max

• Processes

  • process_throughput_by_capacity: Tau <= Kappa_process
  • process_capacity_min: Kappa_process >= Cmin * Phi
  • process_capacity_max: Kappa_process <= Cmax * Phi
  • process_input: Epsilon_in = Tau * r_in
  • process_output: Epsilon_out = Tau * r_out

• Costs

  • def_costs: Costs = sum of activities
  • obj: Sum costs by cost type

Attribute	Meaning
SETS
Commodity
commodity	Commodities
co_demand	Commodities that have demand in edges
co_source	Commodities that may have a source at some vertex/vertices
co_transportable	Commodities that may be transported through edges
co_allowed_max	Commodities that have a maximum allowed generation (e.g. CO2
Prozess
process	Processes, converting commodities in vertices
process_input_tuples	Commodities consumed by processes
process_output_tuples	Commodities emitted by processes
Hub
hub	Hub processes, converting commodities in edges
Time
time	Timesteps
Strorage
storage	Connection points between edges, for source and processes
Graph
edge	Undirected street segments, for demand and hubs
arc	Directed street segments, for power flows
Costs
cost_type	supply (kW of commodity in edge at time
VARIABLES
Edges and Arcs
Pin	power flow (kW of commodity into arc at time
Pot	power flow (kW of commodity out of arc at time
Psi	1 if (directed! arc is used at time, 0 else
Pmax	power flow capacity (kW for commodity in edge
Xi	1 if (undirected! edge is used for commodity at all, 0 else
Vertices
Rho	source stream (kW of commodity from vertex
Hubs
Kappa_hub	capacity (kW of hub process in an edge
Epsilon_hub	acitvity (kW of hub process in edge at time
Processes
Kappa_process	capacity (kW of process in vertex
Phi	1 if process in vertex has Kappa_process > 0, 0 else
Tau	power flow (kW through process
Epsilon_in	power flow (kW of commodity into process
Epsilon_out	power flow (kW of commodity out of process
Costs
costs	costs (EUR by cost type
EQUATION DECLARATIONS
Edges and Arcs
peak_satisfaction	peak must be satisfied by Sigma and hub process output
edge_equation	Sigma is provided by arc flow difference Pin-Pot in either direction
arc_flow_by_capacity	Pin <= Pmax
arc_flow_unidirectionality	Pin <= Cmax * Psi
arc_unidirectionality	Psi[i,j,t] + Psi[j,i,t] <= 1
edge_capacity	Pmax <= Cmax * Xi
Hubs
hub_supply	Hub inputs <= Sigma
hub_output_by_capacity	Epsilon_hub <= Kappa_hub
hub_capacity	Kappa_hub <= Cmax
Vertices
vertex_equation	Rho >= Process balance + Arc flow balance
source_vertices	Rho <= Cmax
Commodity
commodity_maximum	Net commodity generation <= allowed-max
Processes
process_throughput_by_capacity	Tau <= Kappa_process
process_capacity_min	Kappa_process >= Cmin * Phi
process_capacity_max	Kappa_process <= Cmax * Phi
process_input	Epsilon_in = Tau * r_in
process_output	Epsilon_out = Tau * r_out
Costs
def_costs	Costs = sum of activities
obj	Sum costs by cost type