From: Dynamic energy pricing considering agent specific losses in residential energy hubs
Sets | Â |
\(\mathscr {T}\) | Set of time slots |
\(\mathscr {X}_n^c\) | Set of all nodes connected to node n |
\(\mathscr {X}_n\) | Set of all nodes |
\(\mathscr {X}_a\) | Set of all agents |
\(\mathscr {X}_p\) | Set of all phases |
\(\mathscr {X}_{phase}\) | Set of all agents connected to phase |
Parameters | Â |
\(\Delta ^t\) | Time step resolution |
\(\gamma _{grid,phase}^{imp}\) | Maximum grid import energy |
\(\gamma _{grid,phase}^{exp}\) | Maximum grid export energy |
\(\gamma _{a,max}^{imp}\) | Maximum energy import of agent a |
\(\gamma _{a,max}^{exp}\) | Maximum energy export of agent a |
\(\gamma _{a,batt}^{max,ch}\) | Maximum charge energy of agent a battery |
\(\gamma _{a,batt}^{max,dis}\) | Maximum discharge energy of agent a battery |
\(\gamma _{a,load\_s}^{total}\) | Total daily energy consumed by agent a schedulable load |
\(\gamma _{a,load\_s}^{max}\) | Maximum energy per time slot of agent a schedulable load |
\(\eta _{a}^{ch}\) | Charge efficiency of agent a battery |
\(\eta _{a}^{dis}\) | Discharge efficiency of agent a battery |
\(e_{a,batt}^{Soc,max}\) | Maximum energy of agent a battery |
Continuous variables | Â |
\(X_{grid,phase}^{t}\) | Grid imported minus exported energy during time t |
\(X_{grid,phase}^{t,imp}\) | Grid imported energy during time t |
\(X_{grid,phase}^{t,exp}\) | Grid exported energy during time t |
\(X_{grid,phase}^{extra\_in}\) | Additional 2nd stage grid imported energy |
\(X_{grid,phase}^{extra\_out}\) | Additional 2nd stage grid exported energy |
\(X_{a}^{t}\) | Agent a imported minus exported energy during time t |
\(X_{a}^{t,imp}\) | Agent a imported energy during time t |
\(X_{a}^{t,exp}\) | Agent a exported energy during time t |
\(X_{a,batt}^{t,ch}\) | Agent a battery charge energy during time t |
\(X_{a,batt}^{t,dis}\) | Agent a battery discharge energy during time t |
\(X_{a,load\_s}^{t}\) | Agent a schedulable load energy during time t |
\(X_{a,load\_f}^{t}\) | Agent a fixed load energy during time t |
\(X_{a,pv}^{t}\) | Agent a solar energy generation during time t |
\(e_{a,batt}^{t,SoC}\) | Agent a battery stored energy at time t |