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Table 1 Notation

From: Using EV charging control to provide building load flexibility

Symbol

Meaning

\(\delta\)

Duration of a time step

k

Time index

\({\mathcal {L}}\)

Duration of optimization horizon

l

Index into optimization horizon

i

Index into the set of EVs

\(SoC^{\max }\)

Capacity of the stationary storage

SoC(k)

State of charge of stationary storage at time step k

\(L^{G}(k)\)

Desired power profile at time step k

\(L^{BL}(k)\)

Non-EV building load at time step k

\(\hat{e}_i(k)\)

Estimated remaining energy demand at time step k

\(\hat{d}_i(k)\)

Estimated remaining duration of stay at time step k

\(L^*\)

Target load curve for the day

\(r_i(k)\)

Charging rate of EV i at time step k

\(r^{SS}\)

Charging rate of stationary storage

\(\bar{r}\)

EV maximum charging rate

\(\bar{r}^{SS}\)

Maximum charging rate of stationary storage

\({\mathcal {V}}_k\)

Set of actively charging vehicles at time step k

\(SoC_i(l)\)

State of charge of vehicle i at time step l

\(SoC_i^{max}\)

Maximum capacity for vehicle i

M

Number of days in the testing period