Our study uses real-world EV driving and charging data from 132 EVs driven in California, over a one year period. The charging sessions from the EVs in the study were geographically merged with the U.S. Department of Energy’s Alternative Fueling Stations Dataset to get more robust charging station information.
Aggregate Driving and Charging Data
The driving and charging data analyzed in this study is a subset of the data from the Advanced PEV Driving and Charging Behavior project, a California-wide study spanning five years (2015-2020) that aims to understand the driving and charging behavior of EVs [28][29]. This EV study collected on-road data from around 400 households and 800 vehicles (400 EVs). Households selected for the study that contained at least one EV had FleetCarma’s C2 or C5 data logger installed in each of their vehicles for roughly 12 months. The loggers collected key driving and charging attributes such as vehicle speed, battery state of charge, and electrical energy consumption. Table 2 provides an overview of the data analyzed in this study. We are focusing on trip and charging session data, collected over a one year period for 132 EVs, spanning three popular EV models: the Nissan Leaf (Model Years 2011-2017, 24-30 kWh battery capacity), the Chevrolet Bolt (Model Year 2017, 66 kWh battery capacity), and the Tesla model S (Model Years 2012-2017, 60-100 kWh battery capacity). We are only interested in evaluating non-home charging sessions in this study. Figure 10 presents the percent share of non-home charging sessions by charger level.
Table 2 EV Data Overview
EV Type
|
Number of Vehicles
|
Number of Trips
|
Total Miles Traveled (mi)
|
Number of Charging Sessions
|
Number of Non-home Charging Sessions
|
Total kWh Charged
|
Nissan Leaf
|
57
|
79202
|
532425
|
16091
|
5415
|
120575
|
Chevrolet Bolt
|
27
|
47760
|
382603
|
9434
|
1137
|
100612
|
Tesla Model S
|
48
|
46361
|
660619
|
12073
|
3671
|
246597
|
Charging Stations Geographic Data
We used the U.S. Department of Energy’s Alternative Fueling Stations Dataset to get more robust charging station information. This dataset contains comprehensive charging station metrics such as location, charger/connector types etc., for most existing public charging networks in the U.S. Based on a study by Xu et al. (2021), that successfully combined charging station datasets, we used DBSCAN clustering to match charging station locations to charging session locations [30]. DBSCAN typically has two parameters: minPts is the minimum number of neighbors a point must have to be within a cluster and epsilon is the search radius used to figure out if two points are neighbors. The magnitude of these two parameters were based on findings in the study by Xu et al., who determined that an appropriate search radius for DBSCAN for charging station matching should be in the range of 50 to 200 meters. The minPts was set to 2 as we intended to match a charging session to a charging station and epsilon was set to 50 meters, the lower end of the recommended range as this led to the most robust matches. The Alternative Fueling Stations Dataset’s coverage isn’t perfect so we could only identify accurate charging station information for roughly 67% of charging sessions in our dataset.
Level of Disruption from Simulated Charge Failure
We define three levels of disruption, as follows, in order to qualify how much of a hassle drivers would’ve faced had a successful charging session failed.
Trip Disruptive: We consider a charging session to be trip disruptive if the next trip cannot be completed had that charging session failed. In this case, the electric range remaining prior to the charging session isn’t sufficient to cover the next trip. To determine if a given charging session is trip disruptive for an EV driver, we compare the distance covered by the trip immediately following the charging session to the maximum distance the EV could travel given its SOC prior to the charging session. If the SOC derived distance is lower than the next trip’s distance, then we classify the charging session as trip disruptive.
Charge Disruptive: We consider a charging session to be charge disruptive if the next charging location cannot be reached had the charging session failed. To determine if a given charging session is charge disruptive for an EV driver, we compare the distance covered by all trips between that charging session and the immediately following charging session to the maximum distance the EV could travel given its SOC prior to the charging session. If the SOC derived distance is lower than the distance covered until the next charging session, then we classify the charging session as charge disruptive.
Day Disruptive: We consider a charging session to be day disruptive if all the trips that occur after the charging session on that day cannot be completed had the charging session failed. In this case, the electric range remaining prior to the charging session isn’t sufficient to cover all remaining trips within that day, even after accounting for other successful charging sessions within that day. To determine if a given charging session is day disruptive for an EV driver, we compare the distance covered by all trips from that charging session till the end of that day to the maximum distance the EV could travel given its SOC prior to the charging session. If the SOC derived distance is lower than the distance covered from the session to the end of the day, then we classify the charging session as charge disruptive.
The maximum distance that can be traveled given an SOC of SOCX for an EV with an estimated electric driving range of RX is estimated using the following equation:
The time segment in Figure 11 captures all driving and charging events that occur from Chargex at 12AM to the end of the day at 12PM for a given EV– this includes four trips and two charging sessions. We will simulate a charge failure on Chargex i.e., pretend the charge fails. In order for Chargex’s hypothetical failure to be trip-disruptive, the estimated maximum distance given the SOC before Chargex needs to be lower than Distance A which represents the total distance of Tripx. In order for Chargex’s hypothetical failure to be charge-disruptive, the estimated maximum distance given the SOC before Chargex needs to be lower than Distance B which represents the combined distance of Tripx and Tripx+1. In order for Chargex’s hypothetical failure to be day-disruptive, the estimated maximum distance given the SOC before Chargex needs to be lower than Distance C which represents the combined distance of Tripx ,Tripx+1,Tripx+2 and Tripx+3. The above technique was applied to all charging sessions in our dataset to simulate the level of disruption associated with hypothetical charge failures.
Travel Conditions impacting Level of Disruption
In addition to classifying the charging sessions by level of disruption, we also analyze five travel behavioral conditions to better understand why some successful charging sessions were more prone to be disruptive upon failure than others. We compared the following travel conditions between disruptive and non-disruptive charging sessions:
- Vehicle battery capacity
- Total distance travelled in the day in which the charging session occurred
- Number of charging sessions in the day in which the charging session occurred
- Starting battery state of charge prior to the charging session
- Distance between the charging session location and the driver’s home
- Driver’s access to home charging
Since none of the mentioned travel conditions met the normality assumption of the ANOVA test, we opted to use the Kruskal-Wallis test, the non-parametric equivalent of the ANOVA test, to analyze the difference between the means of disruptive and non-disruptive charging sessions. The Kruskal-Wallis test is a rank-based non-parametric test that can deduce if there are statistically significant differences between two or more groups of an independent variable on a continuous or ordinal dependent variable.
Location Critical Charging Sessions
The trip, charge and day disruptive charging session criteria don’t necessarily imply that an EV driver would be stranded at some point in a day if those charging sessions had failed. For instance, if a trip disruptive charging session had failed, the EV driver could find an alternative operational charger along their route and finish their next trip; in this case, finding another charging location may be very inconvenient to the EV driver, but this isn’t the worst case scenario. This is why we also identified location critical charging sessions without which EV drivers may potentially end up being stranded. A charging session is considered location critical if the EV doesn’t have enough electric range remaining to reach the next nearest charging location had the charging session failed. To find the next nearest charging station for a charging session, we used DBSCAN clustering with minPts set to 5 and a search radius equivalent to the estimated maximum distance that can be traveled given the SOC prior to the charging session. We then estimated the road network distance from the charging session to each matched charger; if this distance is greater than the estimated maximum distance that can be traveled given the SOC prior to the charging session for all matched chargers, then we mark that charging session as location critical.
Quantifying and Qualifying Observed Unsuccessful Charging Sessions
In this part of the analysis, we quantify unsuccessful charging sessions from our dataset and then qualify how much of a hassle these unsuccessful charging sessions were to the EV drivers.
In this study, we identify an unsuccessful charge based on the following conditions:
- There is no or very little energy (less than 0.5 kWh) delivered to the EV’s battery by the end of the charging session.
- The charging session immediately following that charging session is at a different charging station (at least 50 meters away from the current charging station).
We qualify the level of disruption associated with identified charge failures based on the time it took drivers to notice the charge failure and move on to the next operational charger; this is based on the time elapsed between the beginning of the unsuccessful charges and the beginning of immediately subsequent trips.