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Table 11 Nomenclature

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

Binary variables

 

\(\mu _{grid}^{t,exp}\)

True if energy is exported to the grid during time t

\(\mu _{grid,phase}^{t,imp}\)

True if energy is imported on phase during time t

\(\mu _{a}^{t,imp}\)

True if agent a imports energy during time t

\(\mu _{a,batt}^{t,ch}\)

True if agent a battery is charging during time t

\(\mu _{a,load\_s}^{t}\)

True if agent a schedulable load is on during time t

Electrical model variables

 

\(C_{market}^{t}\)

Market price at time t

\(C_{grid,buy}^{t}\)

Grid purchase price at time t

\(C_{grid,sell}^{t}\)

Grid sell price at time t

\(C_{p}\)

Penalty price for changing 1st stage grid import/export

\(C_{a}^{t}\)

Agent a energy price at time t

\(C_{s}^{t}\)

Voltage source energy price at time t

\(C_{l}^{t}\)

Load energy price at time t

\(E_{s}^{t}\)

Source energy transfer during time t

\(E_{l}^{t}\)

Load energy transfer during time t

\(I_{n,x}\)

Current flowing from node n to x

\(I_{a}\)

Current flowing into agent a

\(I_{grid,phase}\)

Grid phase current

\(I^{t}\)

Source to load current at time t

\(P_{a}^{t}\)

Agent a price scalar during time t

\(R_{n,x}\)

Resistance between node n and x

\(R_{a}\)

Resistance between agent a and connected node

\(V_{a}\)

Agent a voltage

\(V_{r,a}\)

Node voltage of agent a connected resistor voltage

\(V_{n}\)

Node n voltage

\(V_{x}\)

Node x voltage

\(V_{s}^{t}\)

Source voltage at time t

\(V_{l}^{t}\)

Load voltage at time t