1. Introduction
Heavy-duty vehicles (HDVs) account for 5% of the European vehicle fleet but caused approximately one-quarter of greenhouse gas emissions in the transport sector in 2023 [
1]. Climate neutrality necessitates ambitious measures in the transport sector, with electrification as the most likely option for HDVs [
2,
3]. The first battery electric trucks (BETs) are already available, and European manufacturers anticipate about half of all trucks sold by 2030 to be BETs [
3]. Megawatt charging will enable trucks to charge within the legally binding 45 min driver break. By 2045, approximately 45 TWh—a quarter of the expected electricity demand in the transport sector in Germany—could be needed for HDVs [
4].
Earlier publications have focused on the economic feasibility of BETs [
5,
6,
7,
8], their technical feasibility [
9,
10,
11], and the regional demand for charging infrastructure [
12,
13,
14,
15]. The European Commission aims to provide charging stations for BETs at a maximum distance of 60 km along the main traffic routes (TEN-T Core network) and at a maximum distance of 100 km along the TEN-T Comprehensive network by the end of 2030 [
16]. In total, studies indicate that the majority of logistics operations can be electrified. The higher the annual mileage, the greater the economic benefits of BETs compared to diesel vehicles. Simultaneously, technical feasibility decreases at higher mileage, making public charging infrastructure necessary.
Assuming optimal charging strategies, analyses show that charging can be integrated into the daily logistics processes. For a large share of the fleet, depot charging is the most relevant option to recharge. Public megawatt charging as an intermediate charging option is relevant for vehicles with a high daily mileage [
17,
18].
However, different charging strategies influence the technical feasibility of BETs, as well as the associated load curve, and thus need to be evaluated. Based on a hypothetical fleet of 100 vehicles in California, illustrative analyses show that managed charging can avoid charging peaks and lower costs for logistics companies [
19]. An exemplary study in the U.S. shows that depot charging can be integrated into existing electricity grids. The effect on the additional load is dependent on the applied charging strategy [
20]. Similar to the results for the U.S., depot charging below 44 kW per truck enables the electrification of approximately 80% of the German truck fleet [
18].
However, we are not aware of any studies examining the effects of different truck charging strategies at depots and public charging locations on a country’s temporally resolved energy demand. Therefore, this analysis aims to provide representative load profiles for a future German BET fleet in 2030 and 2045 under three different charging strategies. The charging strategies are differentiated by charging power, charging duration, and the location of the charging points. The analysis focuses on the expected additional peak load caused by BETs and the expected load curve on a country level.
This article is a revised and expanded version of a conference paper, which was presented at the 38th International Electric Vehicle Symposium in Gothenburg [
21].
3. Methods
The goal of the model is to determine the charging and driving patterns of the individual vehicles at five-minute intervals throughout the day (1440 min). We use an agent-based simulation to model each driving profile separately, providing a highly realistic representation of fleet electrification.
In the first step, the driving and parking behavior of each vehicle is simulated. Departure and arrival timestamps for each trip and vehicle are converted into a discrete-time simulation. Using the start and arrival times, along with the distance traveled data from the KiD dataset for each vehicle and trip, the vehicle’s status (private parking, public parking, or driving) and the distance traveled at specific timestamps are recorded in five-minute intervals.
Truck drivers are obliged to take a 45 min break after 4.5 h of driving [
26]. Some single trips of the KiD-dataset do not comply with this regulation. If a trip exceeds legal limits, a mandatory, synthetic 45 min break is inserted 270 min after the departure time. We assume the reported arrival time to be right, so that the vehicle covers the distance in a shorter time span. Therefore, we recalculate the average speed of the vehicle. For trips where the mandatory break would extend beyond the end of the original journey, the break is set halfway through the trip.
Based on these previous calculations, we simulate the driving behavior for each rigid truck and each tractor-trailer over the course of a day and save the information every five minutes from minute 0 (00:00) to minute 1435 (23:55). At any point in time, we know whether the vehicle is driving or whether and where it is parked, as well as the distance traveled.
Figure 2 provides an overview of the available information for each 5 min timestamp for a specific vehicle.
In the next step, we simulate the single-day driving profiles as BET profiles. The charging demand of the vehicles is determined at each timestamp. The demand is based on the distance traveled in kilometers. For each timestamp, we know the distance traveled (in km) since the last charging event, as well as the SOC after the last charging event. Therefore, we can determine the kilometers that need to be recharged at every timestamp. In summary, we simulate the SOC at 5 min intervals, assuming a constant energy requirement per kilometer.
Charging events occur only during breaks already taken by conventional trucks in the original driving profiles. For a charging event to take place, two conditions must be met: (1) the break must last at least 30 min and (2) the SOC is below the minimum range or will be below it after the next trip. Additionally, charging events are always scheduled after the last trip of the day.
In addition to the charging behavior, the simulation is similar to the one performed in [
18]. The charging process is guided by the specific strategy in use. As described in
Section 2.1.1, we define three different charging strategies: (1) as slow as possible (
ASAP), (2) as fast as possible (
AFAP), and (3)
Combination.
The procedure for ASAP charging is summarized in the following description.
Program description ASAP timestamp t = departure first trip/5; each timestamp reflects 5 min with t0 = 00:00 and t287 = 23:55 SOC = 1 1. Check for charging occasion: IF t = departure first trip/5 + 287: FINISH EXECUTION; simulation for 24 h has finished ELSEIF (status[t] = parking) AND (status[t − 1] = driving): Examine necessity of charging event ELSE:
t = t + 1 Check for charging occasion 2. Examine necessity of charging event: IF ((duration of stop ≥ 30 min) AND (SOC after next trip < minimum range)) OR (final stop): Calculate charging power ELSE: t = t + 1 Check for charging occasion 3. Calculate charging power:
t = t + 1 Execute charging 4. Execute charging: IF (SOC < 1) AND (status[t] = parking):
t = t + 1 Execute charging ELSEIF (SOC = 1) AND (status[t] = parking): t = t + 1 Execute charging ELSEIF status[t] = driving: Check for charging occasion
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The procedure for AFAP works similarly to the ASAP procedure, except for the determination of the charging speed (step 3 in the program description). While ASAP calculates the minimum charging power necessary, AFAP uses the maximum power available. The modified program description (step 3) is given below:
Program description AFAP, step 3 3. Calculate charging power:
t = t + 1 Execute charging
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The calculation of the Combination strategy follows the logic that slow depot charging, as in the ASAP strategy, is combined with fast public charging, as in the AFAP strategy. Again, the modified program description (step 3) is given below:
Program description Combination, step 3 3. Calculate charging power: IF parking location (t) = public:
ELSEIF parking location (t) = private:
t = t + 1 Execute charging
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Simulations are conducted for each strategy–year scenario using the specific technical parameters.
Figure 3 shows an exemplary driving profile for the year 2030. The vehicle starts driving at 7:00. After six trips and 321 km, the vehicle recharges at a public location. In 45 min, 280 km are recharged, which equals the maximum average charging power of 2030. As the vehicle cannot fully recharge during this first charging stop and therefore charges at the maximum possible charging power, the
ASAP and the
Combination strategies are identical in this case. After another trip, the vehicle arrives at its depot. Depending on the charging strategy, the vehicle is either charged slowly overnight or as fast as possible from the moment of arrival.
A driving profile is deemed to be feasible if the required range is not higher than the maximum possible range of the battery electric model in the corresponding year and if the vehicle can be recharged after the last trip before the first trip on the next day starts. In other words, a conventional HDV cannot be replaced by a BET if a single trip exceeds the maximum range for a specific year, or if the combined distance of multiple trips exceeds the maximum range and the vehicle cannot be sufficiently recharged during the stops.
Finally, the profiles are scaled for the total electrified truck fleet, considered in the corresponding year. By 2030, one-third of all vehicles are assumed to be electric vehicles. Depending on the charging strategy, the scaling factor varies, as a different number of driving profiles are feasible under different charging strategies. However, the total number of electrified trucks remains constant. By 2045, the number of electric trucks varies between the different strategies, depending on the share of the fleet that can be electrified.
4. Results
In the following section we provide an overview of the parking and driving behavior of the simulated vehicles (
Section 4.1 and
Section 4.2). Afterwards, the resulting load profiles are presented (
Section 4.3). Finally, a sensitivity analysis is shown (
Section 4.4).
4.1. Overview on Driving and Charging Behavior
Figure 4 provides an overview of the activities of the fleet during the day, smoothed over a one-hour period. The shape of the curve for the driving profiles remains quite consistent across all strategies and years. In the morning, the share of vehicles on the road increases, peaking between 7:00 and 13:00, before gradually declining.
When using the ASAP strategy, charging at up to 44 kW—mainly at private locations—dominates, accompanied by a smaller share of charging processes with higher power. Looking at the AFAP strategy, most charging events take place at private locations with MCS charging. Afterwards, the vehicles remain parked throughout the night without charging. In the Combination strategy, private charging events with power levels up to 44 kW play the most significant role. Due to the assumption that vehicles use MCS at public charging stations, a significant share of vehicles remains parked without charging in public areas. By 2045, this affects up to 30% of vehicles at the same time. However, the lack of private charging infrastructure with higher power levels than 44 kW results in a higher share of vehicles that cannot be electrified.
4.2. Technical Feasibility and Number of Charging Events
Due to the limited charging power and charging time, some conventional driving profiles cannot be completed with BET. While their share is comparatively low in the ASAP and AFAP strategies (14% in 2030, 4% in 2045), the Combination strategy counts 40% non-electrifiable driving profiles in 2030 (18% in 2045). The main reason is the limited charging power at the depot (max. 44 kW), which prevents the vehicles from being fully recharged.
As shown in
Figure 5, one (overnight) charging event per day is enough to electrify half of the fleet in 2030. By 2045, the share increases to almost three-quarters of the fleet. In the
ASAP and
AFAP strategies, the proportion of required charging stops decreases significantly between 2030 and 2045. While 36% of battery-electric driving profiles require at least two charging stops in 2030, this proportion falls to 23% in 2045. In the
Combination strategy, the proportion of driving profiles requiring more than one charging stop per day remains at roughly the same level over the years (10%), mainly due to the inability to electrify a large share of long-haul profiles.
Additionally, the share of driving profiles that rely at least partly on public MCS charging is examined. The specific shares in 2030 and 2045 vary only slightly across all strategies. In the ASAP strategy, the shares are in the range of 10%, while for the two other strategies they are in the range of 20 to 25%. This difference arises from the assumption that vehicles charge as slow as possible in the ASAP strategy. Fast charging, particularly MCS charging, is only needed in rare cases. It should be noted that public MCS charging involves only a minority of all charging events. However, MCS charging events are highly relevant for enabling long-haul trucking.
4.3. Load Profiles
To get an understanding of the potential impact of electrifying the German HDV fleet on the energy system, our driving profiles are extrapolated to a possible future BET fleet size. The additional energy required is determined and the power demand throughout the day is discussed.
Figure 6 shows the load profiles in 2030 and 2045. The
AFAP strategy leads to peaks in midday and evening hours. The midday peak is due to intermediate charging, while the evening peak results from charging for the next day. With a charging power of 6 GW in 2030, the peak value reaches almost 10% of today’s usual power demand in Germany. In 2045, the peak reaches 18 GW. The
ASAP and
Combination strategies have a much lower power demand.
ASAP is always higher than
Combination. As it is assumed that one-third of the fleet is electrified in 2030, the fleets are not identical in the scenarios. The
Combination strategy mainly involves electrifying vehicles with below-average mileage, which results in lower total energy demand (36 GWh/day vs. 52 GWh/day). In 2045, the share of electrified vehicles and their energy demand using the
Combination strategy is lower than using the other strategies (82% vs. 96%, 145 GWh/day vs. 103 GWh/day).
For comparison,
Figure 7 shows the additional load for the defined charging strategies and the average electricity load curve in 2022. Even though electricity demand will increase in the future, BETs will generate relevant demand and need to be considered in energy system modeling.
4.4. Sensitivity Analysis and Monte Carlo Simulation
To evaluate the robustness of the simulated load profiles, we varied the most relevant parameters by plus/minus 25%. The variation in energy consumption can represent, for example, the effect of bad weather and the associated higher energy consumption. The maximum available charging power, as well as higher and lower vehicle ranges, exemplify the effects of slower or faster technical development than originally assumed. Finally, the variation in charging time can be interpreted as more or less risk-averse route planning. The variation in charging time is implemented by triggering a charging event if the remaining range would fall below 60% on the next trip (charging early) or if the battery would actually run out (charging late). In addition to the ceteris paribus variations, a Monte Carlo simulation was performed for each of the three charging strategies. In total, 100 randomly selected combinations of the mentioned parameters were calculated for each strategy, varying the parameter by up to plus/minus 25%.
Figure 8 shows the results of the sensitivity analysis and the Monte Carlo simulation.
The variation in energy consumption shifts the load curve, particularly along the y-axis. Higher energy consumption leads to a higher overall load curve. The influence of the charging power is limited.
When charging as slow as possible, additional charging power is not needed to fulfill the logistics tasks; the available charging power in the base case is already (more than) sufficient. When charging as fast as possible, the charging events of single vehicles are already quite short, typically less than 30 min. Higher charging power leads to even shorter charging times. While the additional charging power extends the peak demand in a specific timeframe, the shorter charging time reduces the peak in the next timeframe. Focusing on the whole fleet, the total load curve remains almost constant, as not all vehicles arrive at the same time.
Reducing the range partly makes electrification more complicated so that less vehicles are electrified, leading to a lower load curve. However, ranges greater than the base case only led to minimal gains in terms of technical feasibility and therefore have little effect on the load curve.
Earlier recharging increases demand in the morning and midday hours and reduces demand in the evening and night hours.
5. Discussion
In the following relevant assumptions, the model itself and the results are briefly discussed.
The energy consumption of the vehicles is a relevant input parameter. It depends on weather conditions, road conditions, individual driving behavior, and the design and the weight of the vehicle. Higher or lower consumption can also affect the vehicle range. A higher range would reduce the demand for intermediate charging, and therefore the midday charging demand. Conversely, a lower range would increase the intermediate charging demand. However, as our range assumptions are rather conservative, higher demand would potentially lead to longer ranges (and larger batteries). Therefore, the charging behavior would remain similar, while the overall energy demand would increase linearly with the additional energy consumption.
Another limitation is given by our driving profile data. There is only a limited number of driving profiles, and the trip data is recorded by hand. Even though the dataset has a high consistency with German traffic count data and is therefore deemed to be representative [
18], future analysis should include additional driving profiles. In particular, the comparison with traffic count data in
Appendix A shows that regional traffic is very well represented, while long-distance traffic is structurally included but may be proportionally slightly too small. In the future, new data could show changes compared to the KiD data from 2010 and enable an even more detailed calculation of charging requirements. Additional geographic information (GPS coordinates) could improve the identification of suitable charging locations, compared to the pure differentiation between public and private locations. This information would enable an assessment of the impact on specific regional network nodes, including potential overload risks, rather than limiting the analysis to time-resolved effects on the overall load.
While our data reflects driving behavior at a single point in time, logistics constantly change. New trends—e.g., growing e-commerce, new logistics concepts, and (partially) autonomous driving—will change HDV operation. Analyses show that there is already potential for optimization with the technology available today [
29]. At the same time, it is uncertain how quickly and to what extent the mentioned innovations will influence driving behavior. Future simulations should include corresponding scenarios.
Our assumptions of the future BET fleet are based on the literature and the technical feasibility calculated in our analysis. A smaller or higher penetration of BETs would linearly influence the load profiles.
The implemented charging strategies simplify the scheduling of charging events by triggering them based on the SOC. Since most truck traffic is scheduled, one might assume that charging events will be integrated into the trip planning process. This may slightly affect the results. For example, there are stops shortly before arriving at a depot. In such cases, a logistics company will likely reschedule the trip or select a vehicle with a slightly higher range. This means that our analysis potentially overestimates the need for public and intermediate charging.
The load curves of potential strategies generated in this paper offer an overview of their impact under simplified assumptions. To assess their practical applicability, we evaluate these strategies with a focus on meeting the diverse requirements and needs of different stakeholder groups: (1) Logistics companies and fleet operators prioritize minimizing the likelihood of waiting times. To achieve this, the
AFAP strategy is highly suitable, as it charges vehicles as fast as possible, thereby keeping charging stations available for subsequent charging processes. Additionally, these stakeholders aim to reduce the number of charging events per trip, enhancing route plannability [
30] and avoiding detours to reach charging points. (2) For grid operators, however, it is very crucial to understand the vehicles’ energy requirements and to prepare the grid accordingly. A strategy that ensures relatively even load distribution and limits demand during national peak electricity times is ideal. Both the
ASAP and
Combination strategies meet these requirements.
AFAP, in contrast, causes additional load peaks and is therefore rather unsuitable for widespread application. When it comes to implementation, the
Combination strategy is the most feasible one, as it combines both objectives: flattening the load curve and minimizing waiting and charging times during trips. (3) Another stakeholder group consists of policy makers. Funding is needed to set up charging infrastructure. To make well-informed, long-term decisions, it is important to understand where and when different load capacities are required.
In line with the primary objective of this study, the extreme strategies (AFAP and ASAP) were selected to demonstrate the full range of possible impacts on the load curves. Our results indicate that a well-developed private slow charging infrastructure will form the backbone of future electrified truck traffic. However, long-distance transport in particular will rely on both public and private high-power charging infrastructure.
When assessing the feasibility of individual driving profiles, sufficient charging infrastructure availability is assumed, with neither competition for charging points nor waiting times. This simplification is made because realistic assumptions about future charging infrastructure are subject to considerable uncertainty, as they would require detailed knowledge of the capacity and spatial distribution of charging stations that does not yet exist. Any resulting waiting times would shift the load curve but would not affect the overall load curve.
Moreover, this analysis focuses only on the technical feasibility and the impact on the load curve, while economic aspects are not modeled here. When interpreted in combination with the studies by Samet et al. [
8], implications for the economic performance of different charging strategies can be evaluated. The pure acquisition and hardware costs for BET infrastructure play a much smaller role than the opportunity costs associated with en-route charging. These include, e.g., driver wages and insurance costs due to extended working hours and lost profits due to necessary breaks for charging [
8]. Especially in long-distance transport, the economic efficiency of BET operation is strongly influenced by the possibility of minimizing charging time on the road and the associated opportunity costs. However, a more detailed calculation of the costs incurred by the various stakeholder groups could be the subject of future research.
Another aspect not considered in this work, but holding great potential for future research, is the application of intelligent charging methods and bidirectional charging, also known as “vehicle-to-X” (V2X). This involves the integration of electric vehicles into the power grid. Initial case studies suggest technical and economic feasibility [
31,
32]. In smart charging scenarios, different targets can result in different operational and charging decisions, leading to different patterns of charging loads [
33]. For example, it is possible to minimize grid connection or participate in various energy markets. However, the integration of V2X requires extensive further data collection and assumptions that would exceed the scope of this study.