“…The main characteristic of the EV is its state of charge (SOC), where the SOC of the EV rises or declines based on G2V and V2G functionalities. Therefore, the SOC of the EV can be updated at each time segment as follows [
9]:
where
and
represent the charging and discharging powers of i th EV at time t , respectively; δ and γ belong to {0,1}; it is worth to mention that the EV cannot charge and discharge simultaneously, hence, δ. γ = 0; η CH,I is the charging efficiency, while η DC,i denotes the efficiency of the discharging of the i th EV.
and T are the sets of the EVs and time segments, respectively.…”