A Novel Optimization of Plug-In Electric Vehicles Charging and Discharging Behaviors in Electrical Distribution Grid

Table 1

The parameters of constraints.

Symbol	Definition
	Initial SOC of PEV h when it arriving at the charging station at time t
	Final SOC of PEV h when it leaving the charging station at time t
	The maximum capacity of PEV’s battery
	Total energy in distribution network at time t
	Total energy used by basic load at time t
	Maximum active power transmission of line l
	Maximum accommodation capacity of the station S
	Minimum charging power of PEV
	Maximum charging power of PEV
	Minimum discharging power of PEV
	Maximum discharging power of PEV
	The number of PEVs neither charging or discharging at the charging station S at time t
	The number of PEVs charging at the charging station S at time t
	The number of PEVs discharging at the charging station S at time t