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Table 10 Nomenclature

From: Dynamic energy pricing considering agent specific losses in residential energy hubs

Sets

 

\(\mathscr {T}\)

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

 

\(\Delta ^t\)

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

 

\(X_{grid,phase}^{t}\)

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