Table 2 List of frequently used sets and variables
From: A digital twin of a local energy system based on real smart meter data
Set name | Set description |
|---|---|
\(\mathcal {C}\) | Set of all control units |
\(\mathcal {M}_c\) | Set of all measurement units per control unit c |
\(\mathcal {S}\) | Set of all substations |
\(\mathcal {T}\) | Set of all time steps |
Variable name | Variable description |
|---|---|
\(P_{c,j}^{rSM}(t)\) | Real smart meter reading at time step t for control unit c and measurement unit j |
\(P^{\text {vSM}}_c(t)\) | Virtual smart meter reading at time step t for control unit c |
\(P^{\text {HP}}_c(t)\) | Power of the heat pump at time step t for control unit c |
\(P^{\text {PV}}_c(t)\) | Power generation of the PV installation at time step t for control unit c |
\(P_{act,c}^{Bat}(t)\) | Power of the battery at time step t at control unit c |
\(E^{\text {self cons.}}_c(t)\) | Self-consumed energy at time step t for control unit c |