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Definition

Value

$n_t^y$

Total number of charger type t by year y

Decision Variable

$b_t$

Installation and infrastructure cost for a unit of charger type i

Level 2 = 2 K USD; Level 3 = 40 K USD

$p_t$

Power of charger type t (based on the existing charging technologies)

Level 2 = 10 kW; Level 3 = 50 kW

${\tau }_t$

Daily utilization hours of charger type t (out of 10 hours total daily operation)

Design A:

- charger Level 2 = 10 hours

- charger Level 3 = 10 hours

Design B:

- charger Level 2 = 5 hours

- charger Level 3 = 10 hours

Design C:

- charger Level 2 = 5 hours

- charger Level 3 = 5 hours

T

Number of charger types

2 (Level 2 and Level 3)

C

Number of EV user categories

(Category code-Home charger availability-Battery level upon reaching campus)

Class 1 - Yes - 20%

Class 2 - Yes - 40%

Class 3 - Yes - 60%

Class 4 - Yes - 80%

Class 5 - No - 20%

Class 6 - No - 40%

Class 7 - No - 60%

Class 8 - No - 80%

${\rho }_y$

Penetration rate of EV in year y (determined based on the stated preference from the conducted survey)

60%

${\gamma }_c$

Penetration rate of category c (needs to be identified after the implementation, uniform distribution is used here)

12.5% (uniform distribution on all 8 categories)

$N_y$

Total daily campus inflow in target year y (per year inflow reported by the gates RFID readers)

15,000 veh/day (12,000 veh/day for 2015 with 5% growth rate till 2020)

$\eta$

Battery power (for the new generation of EVs)

70 kWh

$r_c$

Remaining battery life in percentage for category c

Assigned based on C

$\sigma$

Average electricity usage efficiency of EVs

0.34 kWh/mile

${\lambda }_c$

Distance adjustment factor for category c (a safety factor to ensure that the users will have enough battery power to make their trips)

2 for users with access to EV chargers, and 6 for other users

$d_i$

distance traveled by users of distance-distribution category i between their living area and campus (median values)

Refer Figure 3

${\delta }_i$

Frequency of distance-distribution category i

Refer Figure 3

D

Number of distance-distribution categories

6 (refer Figure 3)