The proposed approach aims to analyze the benefits of slow public charging (i.e., EVSE power = 7.4 kW) in the residential areas of large cities. The study is performed within the Italian framework. Therefore, a city is considered large if it has 200,000 citizens or more. Fifteen cities are included in the definition, with an overall population of 9.8 million people (16% of the Italian population). In these cities, as seen before, there is a serious obstacle to residential charging: the lack of private garages or private parking. Public charging can cope with this only if it can adapt to the residential charging needs. Slow, mainly nightly charging is selected as a possible solution and is analyzed in the following sections. All the simulations described have been performed on a standard personal computer with a 1.3 GHz CPU and 16 GB of RAM.
2.1. Development of Charging Profiles
To evaluate the impact of slow charging on user satisfaction and grid performance, we developed a simulation model to generate realistic charging profiles for a fleet of EVs. The model incorporates the entry and exit profiles, vehicle specifications, and EVSE constraints. The entry and exit profiles are updated from a previous statistical review of sources [
8]. The investigated sources are scientific and institutional sources. Study [
13] compared controlled and uncontrolled charging in residential premises in a future scenario with high EV penetration. A report [
14] shows residential charging patterns in a UK study of EV early adopters. In [
15], the authors elaborated on real-world data from the Netherlands to estimate the impact of residential charging in 2030. Similar studies have been conducted in England [
16] and the US based on travel surveys [
17]. All the cited studies elaborate on today’s data or surveys to estimate future scenarios. Indeed, today’s data per se cannot represent a future mature market [
18]. The adopted entry/exit profiles represent the average of the reported sources. The profiles are presented in
Figure 3. They represent the expected entry and exit for charging in a residential area, either in the case of private or public infrastructure. Among the four analyzed typical days (working/weekend day, cold/warm season), we present the profiles for a working day in the cold season. As can be seen, the peak of entry is at the end of business (EoB), charging is typically during night hours, and the peak of exits is in the first morning.
Regarding the charging EV fleet, the breakdown presented in
Table 1 is proposed, based on the Italian car industry association [
19] and a statistical analysis of available EVs [
20]. It reflects the expected relative diffusion between BEV and PHEV in a 2030 scenario, the car segments for each group, the maximum chargeable power, and the battery nominal energy.
A Python 3.13 routine simulates the arrival and departure times of vehicles at residential charging stations starting from the previously shown distribution, as well as their energy requirements based on the battery size, initial state of charge (SoC), and target SoC. Two intervals are defined for the initial (30–60%) and target SoC (80–100%) of approaching EVs, and the value for each EV is randomly selected. The charging station has a fixed number of charging points.
The yearly simulation begins by selecting the number
N of EVs per day.
N is selected to be coherent with the expectations of EV and EVSE diffusion to 2030 from the Italian Energy and Climate Plan [
21]. To each vehicle, the routine assigns the entry and exit hour, the initial and target SoC, and a segment (with all related data). The number
N of approaching vehicles is typically greater than the number of charging spots. Therefore, it is not guaranteed that an approaching EV can start charging, and the EV user can satisfy its charging needs. A set of satisfaction challenges is proposed in
Section 2.2.
Once an EV is connected, a presence profile is generated based on the entry and exit (see also
Figure 4). Based on the charging power and the initial vs. target SoC, the charging, not charging, and power profiles are developed.
is by default equal to the segment’s AC charging power of the considered EV, as per
Table 1. The charge duration can be less than or equal to the stop duration. The key times of each stop
are the beginning of the stop (
), the end of charging (
), the charge duration (
) and the end of the stop (
), which may be perhaps equal to
.
It is worth noting that, in case a fee for parking after the end of charging exists, the presence array is modified, and
occurs 1 h after
. This is to simulate the behavior of a car user that is not willing to pay the fee for overparking.
Figure 5 exemplifies a stop that is updated to avoid overparking fee. Initially, the EV user aimed to connect the EV at 7 a.m. and depart at 6 p.m. Actually, the
occurred at 2 p.m. and
is anticipated at 3 p.m.
The outputs from this simulation were used to construct aggregate charging profiles for entire neighborhoods, which are critical for assessing their impact on the local grid. For instance, weekday profiles for urban residential areas exhibit clustered demand during evening hours, while weekend profiles spread out the energy requirements over longer durations, reflecting differences in user behavior. To better quantify energy and power results, the overall charged energy is computed, as well as the average power profile for each analyzed case. Additionally, the occupancy ratio (
OR) [
22] of the charging station is computed as follows.
where
is the yearly charged energy in the station in kWh,
is the nominal power of a charging pole in kW,
is the number of charging poles deployed in the charging station, and 8760 are the hours in a standard calendar year (we do not consider a leap year). We propose that the charging service is sold for 0.50 €/kWh [
23]. This is a slightly lower value with respect to today’s average charging fees in Italy (see
Table 2), justified by a possible scale economy in the future and by the provision of slow service.
By capturing these detailed patterns, the simulation enables a more nuanced understanding of how slow charging can reduce the burden on the distribution grid and on the power system without compromising user satisfaction.
2.2. Satisfaction Challenges: Evaluating User Satisfaction
User satisfaction in the context of EV charging reflects the reliability and adequacy of the service provided. A set of three challenges is developed to define how many of the typical users (represented by the entry and exit profiles shown in
Figure 3) can answer their charging demand with each of the charging infrastructures/modes.
The first key factor is intrinsic capability of the charging mode of satisfying the charging need. This challenge sums two sub-challenges.
Can the charging mode provide enough energy to reach target SoC within
?
In case of presence of a fee for parking after the end of charging, is the occurring outside the nighttime? Indeed, one will not select a charging spot overnight if it implies either disconnection and displacement during the night or the payment of a fee additional to the charging cost.
The second challenge concerns finding a spare charging spot. Indeed, each charging station features a finite number of charging spots. In case all of them are occupied by other vehicles at (first-come first-served), they oblige the EV user to look for a different station.
The third challenge assesses if any limitation on the whole charging station can prevent reaching target SoC (this challenge is additional with respect to the first one). Indeed, some charging stations present an overall limitation on power withdrawal. In case it is hit, the delivered power to each charging point is reduced proportionally. This can hamper the reach of target SoC in due time.
2.4. Smart Charging: Evaluating Benefits from Flexibility Provision by EV with No-Harm Approach
Lastly, market flexibility is quantified as the capacity of the system to modulate the charging power in response to real-time grid demands. Flexibility measures the total energy that can be shifted to support ancillary services or balance the supply and demand during critical periods. We consider the “no-harm approach” already presented in [
6] to estimate the available flexibility during EV charging, potentially exploitable by the system: an EV can provide flexibility until it reaches a SoC at
that is greater than or equal to the target SoC. The provided flexibility is estimated from the performed simulations as follows. Each car can provide flexibility if its stop duration is sufficient to reach the target SoC from the initial SoC at
, before
. This is the case for the top and mid charts of
Figure 4 where, indeed, there are non-null values in the NOT charging array. In this case, the EV can reduce (up to zero) the withdrawn power during the charging hours, thus providing an upward flexibility. In the next hours, the car could charge more than the target SoC, thus increasing the withdrawal (with respect to zero) and providing downward flexibility. Both energy and power margins must be computed to assess the flexibility.
Figure 6 better explains the approach with an example. Considering a car stopping for 6 h and reaching the target SoC at the end of hour 3 (
), the car charges for the first three hours at
, then remains parked with no withdrawal from hour 4 to 6 (i.e., charging time ends when the target SoC is reached at hour 3, while the stop time ends at 6).
is the maximum power that the car can withdraw from that EVSE, while 0 is the minimum withdrawal (no vehicle-to-grid is foreseen). Therefore, in the first three hours, the car could provide upward flexibility by reducing the power from
(7 kW in the example) to zero (orange shaded area), while in the hours from 4 to 6, it could charge beyond the target SoC, so increasing the power up to
. This is downward flexibility for the systems, and it is represented by the blue area. In case
and
are coincident, no flexibility is available ( it is impossible to shift the withdrawn power). In addition, if the presence array is reduced to avoid over-parking fees (as illustrated in
Section 2.1), there is no room for flexibility. In the end, the flexibility profiles contain hourly values for downward and upward flexibility, in the range [
]. Then, the flexibility profile for the charging station is obtained by summing the individual profiles.
The comparative analysis considers the different overall energy flexibility provided by each case yearly. In addition, an economic evaluation is provided considering the following.
The energy can be sold on ancillary services markets (ASM), where it receives a prize in €/MW/period, as per the Italian pilot project UVAM on distributed energy resources (DERs) providing services [
27]. The proposed prize is coherent with the 2021 market results of the UVAM project, a pilot project in Italy concerning flexibility provision from distributed energy resources.
The market outcome of the ASM can be either an award or rejection of the offered flexibility. Therefore, we consider only a share of the flexibility awarded, in coherence with the statistical analysis of the Italian market [
28].
Data used are presented in
Table 4.