Table 1 Parameter and variable...

Table 1

Parameter and variable descriptions

Notations	Descriptions	Unit
I	the number of trips running in one-day operation
i	the serial number of trips, 1 ≤ i≤ I
*t_i*	the scheduled departure time of trip i
*SOC_i*	the battery SOC at the start of trip i	%
*SOCE_i*	the battery SOC at the end of trip i	%
*T_i*	the travel time of trip i	min
*Q_i*	the electricity consumption of trip i	kWh
*µ_i*	the average ambient temperature during trip i	°F
P	charge power	kW
*θ_i*	the charging time at idle time after trip i without crossing various tariff time periods	min
$θ_{i}^{F}$	the charging time at idle time after trip i in the former period when crossing various tariff time periods	min
$θ_{i}^{S}$	the charging time at idle time after trip i in the latter period when crossing various tariff time periods	min
J	the total number of electrical tariff time periods per day
j	the serial number of electrical tariff time periods
*M_j*	the electricity rate in the j-th tariff time period	CNY/(kWh)
*M_n*	the electricity rate in nonoperation hours	CNY/(kWh)
$t_{j, j + 1}^{c}$	the division moment between the j-th period and the j + 1-th period
*λ_j*	the time boundary of the j-th period
T_min	the minimum charging time	min
SOC_min	the lower bound of SOC	%
SOC_max	the upper bound of SOC	%
*ω_total*	electricity costs for charging per day	CNY
ω₁	electricity costs for charging at idle time in operation hours per day	CNY
ω₂	electricity costs for charging in nonoperation hours per day	CNY
B	battery capacity	kWh
*t_Ei*	the time needed for the battery being charged from SOCE_i to SOC_max without crossing various tariff time periods	min
*t_Li*	the duration of idle time between trip i and trip i + 1 without crossing various tariff time periods	min
*t_EFi*	the time needed for the battery being charged from SOCE_i to SOC_max in the former period when crossing various tariff time periods	min
*t_LFi*	the duration of idle time in the former period when crossing various tariff time periods, which equals $t_{j, j + 1}^{c} - (t_{i} + T_{i})$	min
*t_ESi*	the time needed for the battery being charged from the SOC at $t_{j, j + 1}^{c}$ to SOC_max in the latter period when crossing various tariff time periods	min
*t_LSi*	the duration of idle time in the latter period when crossing various tariff time periods, which equals $t_{i + 1} - t_{j, j + 1}^{c}$	min
*C_i*	the electricity cost for charging after trip i	CNY

Notations	Descriptions	Unit
I	the number of trips running in one-day operation
i	the serial number of trips, 1 ≤ i≤ I
t_i	the scheduled departure time of trip i
SOC_i	the battery SOC at the start of trip i	%
SOCE_i	the battery SOC at the end of trip i	%
T_i	the travel time of trip i	min
Q_i	the electricity consumption of trip i	kWh
µ_i	the average ambient temperature during trip i	°F
P	charge power	kW
θ_i	the charging time at idle time after trip i without crossing various tariff time periods	min
$θ_{i}^{F}$	the charging time at idle time after trip i in the former period when crossing various tariff time periods	min
$θ_{i}^{S}$	the charging time at idle time after trip i in the latter period when crossing various tariff time periods	min
J	the total number of electrical tariff time periods per day
j	the serial number of electrical tariff time periods
M_j	the electricity rate in the j-th tariff time period	CNY/(kWh)
M_n	the electricity rate in nonoperation hours	CNY/(kWh)
$t_{j, j + 1}^{c}$	the division moment between the j-th period and the j + 1-th period
λ_j	the time boundary of the j-th period
T_min	the minimum charging time	min
SOC_min	the lower bound of SOC	%
SOC_max	the upper bound of SOC	%
ω_total	electricity costs for charging per day	CNY
ω₁	electricity costs for charging at idle time in operation hours per day	CNY
ω₂	electricity costs for charging in nonoperation hours per day	CNY
B	battery capacity	kWh
t_Ei	the time needed for the battery being charged from SOCE_i to SOC_max without crossing various tariff time periods	min
t_Li	the duration of idle time between trip i and trip i + 1 without crossing various tariff time periods	min
t_EFi	the time needed for the battery being charged from SOCE_i to SOC_max in the former period when crossing various tariff time periods	min
t_LFi	the duration of idle time in the former period when crossing various tariff time periods, which equals $t_{j, j + 1}^{c} - (t_{i} + T_{i})$	min
t_ESi	the time needed for the battery being charged from the SOC at $t_{j, j + 1}^{c}$ to SOC_max in the latter period when crossing various tariff time periods	min
t_LSi	the duration of idle time in the latter period when crossing various tariff time periods, which equals $t_{i + 1} - t_{j, j + 1}^{c}$	min
C_i	the electricity cost for charging after trip i	CNY

[ViewLarge]

Sharing Unavailable