Reference - Mathematical¶
Todo
Extract description from ojdo’s thesis
Now this is more or less a placeholder.
Model Variables - Meaning¶
| 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 |
Map: Greek-English¶
| Symbol | Code | Doc-SourceCode | Doc-PhD |
|---|---|---|---|
| $$\rho$$ | source? | commodity is introduced | Commodity source power flow |
| $$P_{in}, P_{ot}, P_{max}$$ | Pmax | commodity is transported | Power |
| $$\kappa_{eh,vp}$$ | Kappa_ | commodity is consumed | Capacity (Hub, ProcessThroughput) |
| $$\epsilon_{eht}$$ | hub_io? | commodity is converted | Hub proc activity |
| $$\tau_{vpt}$$ | proc_tau | X | Process power throughput |
| $$\epsilon_{v,pct}$$ | proc_io?, flows? | commodity is converted? | Process power flows |
| $$\sigma_{peak}$$ | consume? | commodity is consumed | Supply in edge at time |