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Article

Autonomous Control of Electric Vehicles Using Voltage Droop

Department of Energy, Aalborg University, 9220 Aalborg, Denmark
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Author to whom correspondence should be addressed.
Energies 2025, 18(11), 2824; https://doi.org/10.3390/en18112824
Submission received: 15 April 2025 / Revised: 26 May 2025 / Accepted: 27 May 2025 / Published: 29 May 2025

Abstract

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The surge in electric vehicles (EVs) in Denmark challenges the country’s residential low-voltage (LV) distribution system. In particular, it increases the demand for home EV charging significantly and possibly overloads the LV grid. This study analyzes the impact of EV charging integration on Denmark’s residential distribution networks. A residential grid comprising 67 households powered by a 630 kVA transformer is studied using DiGSILENT PowerFactory. With the assumption of simultaneous charging of all EVs, the transformer can be heavily loaded up to 147.2%. Thus, a voltage-droop based autonomous control approach is adopted, where the EV charging power is dynamically adjusted based on the point-of-connection voltage of each charger instead of the fixed rated power. This strategy eliminates overloading of the transformers and cables, ensuring they operate within a pre-set limit of 80%. Voltage drops are mitigated within the acceptable safety range of ±10% from normal voltage. These results highlight the effectiveness of the droop control strategy in managing EV charging power. Finally, it exemplifies the benefits of intelligent EV charging systems in Horizon 2020 EU Projects like SERENE and SUSTENANCE. The findings underscore the necessity to integrate smart control mechanisms, consider reinforcing grids, and promote active consumer participation to meet the rising demand for a low-carbon future.

1. Introduction

Electric vehicles (EVs) hold definite advantage over other traditional energy-saving technologies for their ease of implementation while ensuring an eco-friendly environment. In recent years, the sales of EVs have been rising year by year in many countries in the world, including Denmark. Besides the increased public awareness of carbon emission, the policy encouragement of the legislature plays another important role. For EVs registered before 2026, only 40% of the calculated tax for ordinary cars must be paid in Denmark, with a full tax gradually phased in by 2035. The full tax of vehicle registration is calculated by 25% of the vehicle’s value up to DKK 65,800, then 85% of the remaining value up to DKK 204,600, and 150% of the rest. EVs also benefited from a basic registration tax deduction of DKK 165,500 from February to the end of 2024 [1]. As a result, it is worth noting that EVs took over 51.1% of the market share in new car registrations in Denmark’s automotive market in 2024 [2].
In 2024, Denmark significantly expanded its public charging infrastructure, adding many fast chargers to support the rising number of EVs. However, the rapidly increasing number of EVs poses a great challenge to the local low-voltage (LV) distribution network. Among various low-carbon technologies on the household level, such as photovoltaics (PVs), heat pumps (HPs), et al., it is pointed out that EVs have the highest unitary impact on the network, especially on the MV/LV transformers [3]. Meanwhile, it is also proposed that EVs provoked mainly cable over-loading [4]. The situation in urban grids is still acceptable; no voltage violations or cable overloading issues are observed in most cases, except transformer overloading during an extreme winter scenario [5]. But in rural distribution grids, transformer overloading is found to be the worst issue [6]. Aside from overloading issues, Procopiou [7] presents voltage drop issues caused by high EV penetration in residential LV networks. Furthermore, heavy EV charging can also have a negative impact on the LV distribution system such as phase imbalance [8], increasing the distribution system losses [9], harmonics distortion and power quality issues [10].
In order to adapt to the surge in EV adoption, one starting point is to reinforce the grid, for example, upgrading the capacity of existing distribution system components, especially transformers and power cables. However, it is argued that the costs and emissions of grid reinforcements outweigh the benefits in costs and emissions in EV charging optimization resulting from increased grid capacity [11]. From another starting point, if the charging scheme of each EV can be coordinated, the burden of load on the local distribution system can also be alleviated. Therefore, implementing an effective charging control and coordination strategy will be crucial for the future grid as shown by several studies. Ref. [12] employs deep reinforcement learning to address the specific requirements and different objectives of different stakeholders, leading to a 20% reduction in the grid strain. Ref. [13] presents the Demand Response and Load Balancing using Artificial intelligence framework to enhance grid stability. Ref. [14] puts forward a two-phase optimization strategy that combines particle swarm optimization (PSO) and Q-learning for optimization of EV charging scheduling. PSO is used to create an initial charging plan aimed at minimizing voltage deviations and line overloads while maximizing user satisfaction. Subsequently, a Q-learning approach adapts a plan based on real-time grid conditions and feedback. However, mathematical solving of smart approaches reveals that iterative methods can introduce latency in scheduling for large-scale EV problems [15]. Thus, it underscores the need for advanced distributed algorithmic solutions. Ref. [16] proposes an adaptive control algorithm for plug-in EV charging without straining the power system. Ref. [17] presents a centralized smart charge/discharge scheduling algorithm to achieve peak shaving and valley filling of the grid load. Ref. [18] proposes an optimization algorithm for smart EV charging to reduce the overall net-load variance through a more efficient exploitation of the available PV power and EV charging shifting to enhance the stability of the power grid. Ref. [19] adopts a coordinated charging strategy for EVs to positively affects voltage phase imbalance in the distribution system. Ref. [20] proposes a framework for coordinated unbalance compensation and harmonic mitigation of distribution networks for daily operations through the charging management of EVs. The above solutions can alleviate the strains on the distribution system, but they focus on the grid side instead of the customer side. The charging states of each EV charging station need to be collected and communicated to the grid for centralized processing, which increases the control complexity. Therefore, [21] proposes an autonomous and communication-free solution based on voltage droop control. The control method relies on the measurement of the voltage at the point of connection (POC) of each EV charger to compare with the reference voltage, and it can comply with voltage regulation standards for lower penetrations. However, the voltage regulation standards could not be complied with under high penetration of EVs in the distribution grid. It is also necessary to ensure equal power delivery to all customers no matter where they are located at the feeders, at the same time when preserving the grid’s stability. Therefore, [22] chooses a common parameter, like transformer loading, to estimate the droop-based power curtailment factor for all the customers in the local distribution grid.
This paper continues to use the control logic in [22] and chooses the terminal voltage as the common parameter. Furthermore, the paper implements the control method into a real grid in a Danish residential district, and the EVs charging dynamics are modelled on the basis of the actual daily energy consumption of the residents. Because not all the EV chargers are equipped with the compatibility of variable charging power, the aim of this paper is to validate the performance of variable charging power using droop control based on common parameters.
This paper is organized in the following structure. Firstly, the challenges and issues encountered in a low-voltage distribution grid network consisting of 67 households through a simulation of the Danish residential electricity network are analyzed using the power system analysis tool ‘DiGSILENT PowerFactory’. The findings based on load flow analysis highlight critical concerns such as transformer and cable overloading, along with under-voltage issues, which stem from the increasing integration of EV chargers in households. Secondly, based on the driving and charging pattern and transformer loading data, an autonomous control approach of EVs using voltage droop is proposed to alleviate the load of the distribution grid. Thirdly, the dynamic simulations demonstrate the effectiveness of energy management systems to address the challenges, particularly through the implementation of smart EV charging. Additionally, insights from real-world implementations in projects like SERENE and SUSTENANCE H2020 underscore the advantages of intelligent EV charging control systems. These projects highlight the potential of such systems to alleviate grid strain while enhancing overall energy efficiency.

2. Steady-State Simulation Analysis on Impact of EV Charging in Danish Residential Grids

2.1. Danish Residential Grid

In Denmark, most residences are connected to a three-phase 400 V power supply at 50 Hz, with a typical maximum current capacity of 32 A, which supplies around 22 kW of the power distributed through underground cables. Denmark’s residential grid aims to integrate decentralized power sources, including small local producers such as residential solar panels. With Denmark’s ambitious plans to reduce CO2 emissions and increase renewable energy’s share, the residential heating and transportation sectors are evolving progressively. Many houseowners outside district heating areas are replacing oil boilers with biomass boilers or HPs in combination with thermal storage to support these goals [23]. At the same time, the rapid growth in EVs requires accommodation of home EV charging. One typical Danish residential area, where HPs and EVs are being integrated to the LV distribution network is presented in Figure 1. A comprehensive electricity distribution network model for the LV distribution networks was developed using PowerFactory software 2025 SP1 to demonstrate the effects of various control methods for EV charging and assess possible impacts through dynamic simulation. The LV network is located in a municipality within the Midtjylland Region of Denmark.
In the network model shown in Figure 1, the abbreviations denote electrical loads associated with electric vehicles (EVs), heat pumps (HPs), and general household loads (GLs). A general load model is established to implement EVs and HPs easily. Several residences within the network are integrated as bulk loads. For example, a general household load group labelled “GL_12_6H” refers to a general load (GL) connected behind terminal “T_12,” where “6H” indicates six houses. Similarly, EV and HP loads at terminal “T_12” are also represented as bulk loads. The EV and HP loads which are in the current distribution network scenario are shown in grey, which means they are not activated because these customers have not installed EV chargers or convert heat systems.
The LV grid network presented in Figure 1 was recently upgraded with the installation of a new transformer (NB with 630 kVA supporting 67 households). The status of the EV charger, HP and rooftop PV size of households other than those in the blue boxes is unknown. However, data from the transformer loading profile include the effect of these loads on the electricity grid. The grid is divided into three areas. Area 1 includes 18 houses, all already equipped with electric heating systems. Areas 2 and 3 consist of 26 and 23 houses, respectively. Among these, five houses recently installed HPs of varying capacities (ranging from 7 to 12 kW thermal capacity) and EV charging infrastructures of 11 kW each, as indicated within the blue boxes. A load flow analysis of the network during a peak winter condition and five EVs charging (within the blue box) shows 30.2% transformer loading, with a minimum terminal voltage of 0.964 p.u. at terminal T_19. The color coding of the terminals represents voltage levels as specified in the top left corner, meaning that the houses in the blue boxes might experience too low a voltage according to the grid codes. In this network, there are still 22 and 15 houses in area 2 and 3, respectively, that are expected to convert the heating system to HPs.
To phase out natural gas-based heating, the transition to HPs will necessitate additional power from the local power grid, thereby increasing the load on transformers. Consequently, a steady-state analysis is performed to assess the transformers’ capacity to accommodate EV chargers. The rising energy demands from EVs and HPs have highlighted the need for grid upgrades, enhancement of demand response programs, and encouraging consumers to shift energy usage to periods of lower demand or high renewable generation. Easy use of smart energy management systems and flexible energy tariffs enable residents to participate in these programs. While EVs are being integrated as consumers and potential storage units, the Danish grid currently does not support a bidirectional power flow, where EV batteries can feed power back to the grid. However, vehicle-to-grid (V2G) technology could be highly advantageous in a future distributed network [24].

2.2. Steady-State Simulation Analysis on the Impact of EV Charging

The steady-state load flow analysis examines the existing distribution networks in Denmark with a recently upgraded 630 kVA transformer. On the above basic case, the study predicts the upcoming integration of HPs into the grid and their potential impact on transformer hosting capacity. With the addition of 37 HP units, each with an electrical power rating of 3 kW, the total load would increase by 111 kW, representing a 17.6% increase in the transformer’s hosting capacity, which is 47.8% now. Hence, HPs, having smaller load capacities compared to an 11 kW EV charger, do not significantly challenge the transformer and cables loading. However, a potential issue arises if each house, following the HP upgrade, is also equipped with an 11 kW EV charging infrastructure. With the assumption that all EVs are charged simultaneously, it can be predicted that the total load would increase by 737 kW, which heavily overloads the transformer up to 147.2%. These findings highlight the significant effect of HP and EV integration on transformer capacity, emphasizing the need for smart grid management and potential upgrades to handle the rising demand, especially with the installation of EV chargers.

3. Dynamic Simulation Analysis on the Impact of EV Charging

3.1. Driving Habits and Charging Requirement

The dynamic simulation is performed on the existing grid with EV connection. To incorporate EVs into each household, simulation scenarios are created based on statistical analysis of EV driving patterns and charging availability. Data from the Danish National Travel Survey (TU) covering 2006–2012 indicate that the daily travel distances of nearly 60% of cars range between 0 and 10 km, while around 18% range between 10 and 20 km, and no more than 6% exceed 50 km [25]. Thus, it can be concluded that daily charging is not necessary for all EVs. However, the real-world daily charging habits of EVs in residential areas are difficult to fully estimate, which emphasizes the importance of more practical data to improve the analysis.
Vehicles with smaller battery capacities, such as hybrids, typically charge at 3–7.4 kW, while EVs for longer distance usually require 11 kW chargers [26]. This implies that not all homeowners require high-capacity chargers, though the growing preference for long-distance EVs over hybrids may drive the prevalence of higher-capacity chargers. Additionally, driving habits also vary according to the region and sample population; for example, the driving habits at the demonstration site may differ. The statistical data used in this study aim to reflect realistic EV charging behaviors rather than the assumption of the worst-case scenario. This approach is helpful to model typical charging demands and grid impacts while considering regional differences in driving and charging habits.

3.2. Transformer Loading Analysis

Based on the historical data, a box plot of transformer loading for NB_630 kVA is presented on a monthly basis using hourly data from 2023 in Figure 2. The peak loading occurs in winter.
The minimum and maximum loading percentages along with the corresponding dates and times are marked in Figure 3. A negative minimum loading percentage indicates household PV production in the network is being sold back to the grid. For example, transformer NK_630 kVA recorded a minimum loading of −2.63%, representing 22.82 kW of rooftop PV generation sold to the grid in June. By comparison, it experienced peak loading of 20.79% at midnight, due to multiple existing EVs charging during low electricity prices. These data underscore the variability in transformer loading conditions across the observed period, influenced by factors such as PV generation, EV charging, electricity prices, and seasonal demand patterns.
On the other hand, the real data on energy consumption from a Danish residential district in 2023 have been collected and analyzed, and are modeled as the load profiles as the simulating foundation to overlay the EV charging behaviors.

3.3. EV Behaviors Modeling

The behavior of the EV as an electrical load, when connected to the charging station, is modeled as a battery unit of a specific size. The depth of discharge (in %) of the EV (DOD) at the beginning of charging appropriately resembles the dynamics of the driving profile and distance traveled. The initial state of charge (SOCini) of an EV is related to its DOD by the equation,
S O C i n i = 100 D O D   %
After charging the EV for t hours, its SOC is determined using the Coulomb count method as follows,
S O C ( t ) = S O C i n i + 100 0 t P c h a r ( t ) d t C b a t , 0 S O C ( t ) 100   %
where Cbat is the battery capacity in kWh and (Pchar) is the charging power in kW. Pchar is proportional to the droop coefficient, kdroop(t), and it is given by
P c h a r ( t ) = k d r o o p ( t ) × P r a t e d   kW

3.4. Droop Control Approaches of EV Charging Based on Common Parameters

Since the actual daily charging patterns of EVs in residential areas remain unknown, an extreme scenario is analyzed where all EVs are connected for charging simultaneously. This scenario represents the risk of numerous EVs charging at the same time, particularly during periods of low electricity prices, which could potentially overload the LV distribution feeder.
To address this issue, two distinct control approaches are proposed and adopted in the project. One of them is the Scheduling-Based Control approach. The EV charging scheme is controlled based on the transformer’s hosting capacity. The number of EVs being charged simultaneously is limited to a critical figure, so as not to overload the local transformer or any cables to guarantee the grid operates more efficiently.
The other one is a Voltage-Based Droop Control approach, which is presented in paper [22]. Reducing voltage deviations stemming from EV charging and thereby improving the voltage profile of distribution grids, is the main objective of the droop control approach considered. To address the issue of unfair distribution of EV charging power curtailment, a common parameter is adopted to estimate the droop-based power curtailment factor for all the customers in the local distribution grid.
The common parameters adopted can be the terminal voltage and transformer loading. The droop factor is filtered using a first-order low-pass filter to avoid rapid changes in the droop factor, thereby mitigating potential undamped oscillations in the EV charging control loop [27].

3.4.1. Droop Control Based on the Terminal Voltage

The voltage droop is based on the measurement of the terminal voltage, Vpoc(t), at the point of connection of the EV charger. It is then compared with the specified high and low voltage levels, Vh and Vl, respectively. When Vl < Vpoc(t) < Vh, the voltage droop factor, kv(t) is given by
k d r o o p ( t ) = k v ( t ) = 1 V h V p o c ( t ) V h V l
The droop factor is unity when Vpoc(t) > Vh and it is zero when Vl > Vpoc(t). In this study the droop coefficient is calculated based on Equation (4) considering Vh = 0.98 p.u. and Vl = 0.92 p.u. These high and low limits of the voltage for droop coefficient calculation are selected to maintain some room for drop of voltage to 0.9 p.u. due to other household loads. However, to ensure fair and equal power distribution along the feeder for the flexible operation of HPs and EVs, the droop coefficients can be adjusted dynamically along the distribution lines. This approach helps maintain voltage level limit and ensures equal power delivery to all customers’ flexible load operation, regardless of their location on the feeder. However, this requires regular updates of voltage measurements from different points along the feeder to a central server. The central server then recalculates the common droop coefficients for all flexible loads connected based on real-time data, enabling precise control of the power distribution system without violating the limit of transformer loading and terminal voltages.

3.4.2. Droop Control Based on the Transformer Loading

Similarly, the loading droop control is based on the measured value of transformer loading Ixmer(t). When the transformer loading exceeds the critical level (icrit), i.e., Ixmer(t) > icrit, the loading droop factor, ki(t) is given by
k d r o o p ( t ) = k i ( t ) = 1 1 I x m e r ( t ) 1 i c r i t
Here, the critical level is arbitrarily selected to be 0.5 p.u. The droop factor is filtered using a first-order low-pass filter to avoid rapid changes in the droop factor.
With droop control and high EV penetration in the local grid, there is a risk of unequal power curtailment among customers based on their point of connection within the distribution network. In contrast, with schedule-based control, only selected EVs are charged at a time with constant power. This selection process through scheduling and the limitation of charging power levels from droop control reduce users’ ability to benefit from dynamic electricity pricing. These challenges highlight the need for an optimized charging management strategy to accommodate a large number of EVs while ensuring fairness and maintaining grid operating parameters within their limits.

3.5. Control Coordination of EV Charging

Figure 4 illustrates a modular framework architecture for control and coordination in EV charging management, designed to support grid flexibility and participation in V2G during power regulation. When an EV connects for charging, the controller monitors the battery’s status and accepts user inputs such as the estimated departure time, the minimum required charge level, and preferences for participating in grid flexibility services like voltage and frequency control or grid support. Using this user-provided information, the system prioritizes EV charging and creates a charging schedule, which is generated online via cloud computing or designated apps. The charging power is then adjusted based on this schedule or through droop control to maintain local voltage stability. Additionally, if the user opts to participate in grid support, the EV can release energy back to the grid in response to regulation signals, contributing to voltage and frequency control.
The control framework employs a two-level control approach, as outlined in [22], to manage forecasting errors and communication failures during scheduled EV operations, ensuring users’ needs are met. The significant features of the Two-Level Control Approach are highlighted below.
First Level: Scheduling and Coordination
  • This level creates an optimized charging schedule based on electricity pricing, EV availability for charging, PV power production, and user preferences for active participation in grid flexibility.
  • The schedule (time and charging power) is dynamically adjusted based on deviations from forecasts and the SOC of associated storage units.
  • Continuous communication with the central control server is required to send and receive control signals through a communication channel.
  • These control signals guide the second-level controller, which manages the demand response for individual EV units.
Second Level: Local Monitoring and Control Signals
  • This level manages the operation of EVs based on the battery’s SOC and the supply voltage at the point of coupling between the EV charger and the electricity grid.
  • It can override first-level control actions when necessary, ensuring safe operation, through the set of control logic presented in this level.
  • Local information (such as terminal voltage at POC, and SOC of EV battery) is measured and processed without requiring internet connectivity (i.e., using a wired connection).
  • This control ensures SOC levels remain within critical limits, prevents violations of upper and lower energy thresholds, and supports local node voltage regulation where applicable.
As a result of the two-level control structure, computations can be executed at different levels to ensure privacy while also allowing for scalability through the decentralization of processes. Some tasks are handled locally at the second-level control, while others are managed at a central through first-level control. This approach improves system efficiency as it grows, enabling the control structure to manage a larger number of EVs or charging stations without overwhelming a single central system. Additionally, it allows for a careful selection of appropriate models in terms of accuracy and computational requirements, considering both time and location in the electricity distribution feeder. The first-level controller leverages the benefits of the planning phase, utilizing day-ahead markets, while the second-level controller focuses on the operational phase to address local grid constraints (voltage and loading) and users’ needs (charging requirements and options for active participation in grid flexibility).

4. Grid Impact of Voltage Droop Control on Power Output

In addition to limiting the number of EVs charging simultaneously, controlling and reducing the charging power of EVs can enable the distribution grid to accommodate more EVs within safe loading limits. The droop control approach is thus considered effective demand response management for reducing voltage deviations caused by EV charging, thereby improving the voltage profile of distribution grids. An example from the NB_630 kVA transformer network demonstrates the impact of droop control on the power output of EV chargers. This network consists of 62 residential households, and each is assumed to have one 11 kW EV charger. The battery capacities of all EVs are valued as 44 kWh, 52 kWh, 58 kWh, 70 kWh, and 82 kWh, according to the EV market.
Except EV charging, the load profiles of other consumers are modeled based on the real data collected from a Danish residential district in 2023. The initial SOC of each EV is determined according to the daily distance that the EVs cover based on the survey of the driving habits of users, which eliminates the influence of various battery capacities. The moments of EV connection to the grid are sampled by python command, which are generated from the “continuous uniform” distribution over the stated interval; this is called a “scattered charging” pattern in the following.

4.1. Charging Without Voltage Droop Control

Two scenarios of EV charging are evaluated in this condition to assess the distribution grid performance. The first scenario involves simultaneous charging from 00 to 10 h, where all EVs charge at the same time. The second scenario involves the scattered charging pattern from 15 to 40 h, where the EVs charge randomly based on their arrival. During the simulation, any form of energy management for EV charging is not considered.
The results in Figure 5 indicate that simultaneous EV charging leads to severe grid stress, with transformer loading peaking at 147.6%, overloading cables up to 150%, causing the terminal voltage to drop as low as 0.86 p.u. During the scattered charging period, while the transformer loading stays below 100%, some cables are briefly overloaded.

4.2. Charging with Voltage Droop Control

When droop control-based EV charging is implemented, the EV charging power is dynamically adjusted based on the POC voltage of each EV charger (Figure 6), instead of the fixed rated power. This strategy eliminates overloading of both the transformer and cables, ensuring they operate within a pre-set limit of 80%. Transformer loading decreases by 67.6%, and maximum cable loading is reduced by 74%. Voltage drops are also mitigated, with the lowest terminal voltage improving to 0.93 p.u., well within the acceptable safety range of ±10%.
Due to the reduction in charging power, the EVs need longer time to be fully charged compared to charging without droop control. Specific charging times depend on the initial SOC and charging power of each EV. Adopting droop control indeed increases the charging time of EVs by 0.2 h to 1.5 h. Because all the charging process can be completed during the night, the above charging delays can be acceptable.
These results highlight the effectiveness of the droop control strategy in dynamically managing EV charging power to prevent grid overloading. Additionally, a droop control approach based on transformer loading can be implemented to ensure reliable and efficient grid operation by uniformly adjusting the charging power across all EVs based on the same droop parameter [27]. However, this approach may occasionally cause the terminal voltage to drop below the operational limit of 0.9 p.u.

4.3. Discussion on the Effect of Droop Control

As EV adoption increases, charging demands introduce fluctuating loads that can strain the grid infrastructure, affecting transformer capacity, voltage regulation, and cable loading. In these simulations, various algorithms are being developed to address these problems. The proposed solutions are not intended to depend on a specific price signal but rather on a type of contract established between the citizens and the distribution system operators. Through this agreement, both schedule-based and droop control would be enabled, potentially relying on a capacity contract combined with a component tied to the actual kWh contributions from the households. Researchers, governments, and operators are actually testing the scheduling approach, and it is not a technical problem to implement the approach according to the national regulations on market flexibility. However, it needs to be noted that there are no agreements yet on the approach based on droop control.
Results from dynamic control approaches in the NB_630 kVA transformer network show that droop control dynamically curtails the operating power to prevent grid stress and maintain stability, whereas price signal-based control optimizes self-consumption for EVs but risks grid strain during low-price periods. Future potential for droop control can be foreseen as EVs with variable power charging capabilities emerge.
Limiting EV charging power via droop control can certainly cause a longer charging time for EVs to be fully charged. The charging time increment ranges from 0.2 h to 1.5 h. But because the charging congestion happens at night, the charging time increment will not impact on daily activities, which is acceptable to customers.
Droop control effectively mitigates grid stress but may raise fairness concerns in energy distribution during low-price periods. Due to the voltage droop control, there is unequal curtailment of power among the consumers based upon their distance from the transformer substation. This highlights the need for a constant droop coefficient based on transformer loading, ensuring fairness and maintaining grid operating parameters within their limits. It may require intensive communication infrastructure. Coordinated scheduling proves beneficial in networks with limited hosting capacity and EVs with constant power charging. Smart charging strategies are essential to address the growing surge in EV adoption in Denmark.

5. Experience Sharing on Implementation of Intelligent EV Charging Control Systems and Its Benefits

From the above simulation results, it can be observed that smart control strategies are beneficially effective to deal with the overloading issues caused by a surge in EV adoption in residential distribution power systems. However, putting scientific and technological achievements into practice is much more complicated and difficult compared with simulation modeling calculations on computers. Residences with EVs and a charging unit, as observed in the demonstration site in SERENE and SUSTANENCE projects, have wide ranges of EVs from different manufacturers and charging service providers [28,29]. Most of the EV models are controllable through an application programming interface, enabling real-time monitoring and control. However, controlling and optimizing the charging of EVs within the local community grid has posed significant challenges due to limited direct control of the EV charging station available to local community operators [30]. There are national incentives for EV owners, where the electricity tax is substantially reduced by nearly 1 DKK/kWh. However, the involvement of an EV charging operator is mandatory, to qualify for this tax reduction and they keep primary access to the charging data.
To address the limitations, NEOGRID, a local community operator, has been exploring direct interfacing with EVs, instead of charging stations, for doing the scheduling according to self-consumption, electricity prices, and grid conditions, achieving partial success with limited EV models. Ideally, the local community operator should fully monitor and control EV charging for optimizing the grid impact. However, the charging operators’ control over chargers continues to affect reliable management of charging schedules.
It is recommended that EV charging operators enable input from energy community operators to optimize charging within local grids to avoid grid congestion and take self-consumption into account. However, this recommendation is complicated by Denmark’s current landscape, where over 30 different charging operators exist, each offering varying levels of integration and control. To bridge this gap, there is a pressing need for a standardized interface that allows operators to manage individual EV charging within the community while respecting the priorities and preferences of EV owners. Such an approach would harmonize flexible grid operation with user autonomy, encouraging a more efficient and cooperative energy ecosystem.
Although EVs are being integrated as consumers and potential storage units, the Danish grid does not yet support bidirectional power flows, i.e., EV batteries can feed power back into the grids. However, V2G technology could be of great benefit in future distributed energy networks. This is proved by the Polish demo case in the SUSTENANCE project where charging stations with V2G charging technology were installed. The main challenge shows that there are no legal regulations or manuals that would be specific for installing and using V2G chargers. Generally, the V2G technology is not yet widely accessible, so the specific aspects of connecting such chargers to the grid and their billing were not yet fully established and resolved. The situation probably will change when the V2G technology is implemented within the regulations regarding flexibility services.

6. Conclusions

The growing adoption of EVs among Danish households, driven by public policies, environmental consciousness, and advancements in EV technology, represents a major step toward sustainable transportation. However, this rapid growth poses significant challenges for the LV distribution grid, particularly in terms of hosting capacity, grid congestion, and under-voltage issues. These challenges can be partially mitigated through the smart control of EVs.
Therefore, this paper examines the challenges faced by the LV distribution grid through a simulation study of the Danish residential electricity network. It is predicted via load flow analysis that low-carbon technologies such as HPs and EVs in fact increase the risk of overloading the residential power grid. To cope with the challenge, a droop control-based EV charging coordination approach is adopted. Simulation results indicate that a charging scheme without droop control, although it enhances self-consumption for EVs, may lead to grid strain during periods of low electricity prices, with transformer loading peaking at 147.6%, overloading cables up to 150%, and causing terminal voltage to drop as low as 0.86 p.u. By contrast, droop control effectively adjusts operating power in real time to alleviate grid burden and maintain stability. Transformer loading decreases by 67.6%, and maximum cable loading is reduced by 74%. Voltage drops are also mitigated, with the lowest terminal voltage improving to 0.93 p.u., well within the acceptable safety range of ±10%. The potential of droop control is expected to grow as EVs with variable power charging capabilities become more prevalent.
The insights from demonstration H2020 projects like SERENE and SUSTENANCE underscore the importance of integrating smart charging solutions and fostering collaboration between EV charging operators and energy community operators to maintain a resilient and efficient grid that meets the evolving demands of sustainable mobility. Various smart control strategies can be implemented to support demand response and optimization. Moreover, actively involving consumers in grid operations through energy management systems is essential to reducing the strain on the distribution grid. Furthermore, although there are some limitations, V2G technology could be highly beneficial in a distributed energy network in the future.

Author Contributions

Methodology, R.S.; Validation, H.Z., R.S. and B.B.-J.; Formal analysis, H.Z., R.S., H.G. and S.K.C.; Investigation, H.Z.; Writing—original draft, H.Z. and R.S.; Writing—review & editing, H.Z., R.S., H.G., S.K.C. and B.B.-J.; Supervision, B.B.-J.; Project administration, B.B.-J. All authors have read and agreed to the published version of the manuscript.

Funding

This research received funding from EU Horizon projects—SUSTENANCE under grant agreement no. 101022587 and SERENE under grant agreement no.957682. The views and opinions expressed are, however, those of the author(s) only and do not necessarily reflect those of the European Union or the European Climate, Infrastructure and Environment Executive Agency. Neither the European Union nor the granting authority can be held responsible for them.

Data Availability Statement

The original contributions presented in this study are included in the article. Further inquiries can be directed to the corresponding author.

Conflicts of Interest

The authors declare no conflict of interest.

Nomenclature

Below, a nomenclature list is given to provide descriptions of the variables and parameters used in the main equations throughout the paper.
CbatEV battery capacity [kWh]
DODDepth of discharge of an EV [%]
icritCritical level of transformer loading [%]
Ixmer(t)Distribution transformer loading [%]
kdroop(t)Droop coefficient based on common parameters
ki(t)Droop coefficient based on transformer loading
kv(t)Droop coefficient based on terminal voltage
PcharEV charging power [kW]
PratedEV rated charging power [kW]
SOC(t)State of charge of an EV [%]
SOCiniInitial state of charge of an EV [%]
tDesignation of time [hour]
VhDroop voltage upper limit [p.u.]
VlDroop voltage lower limit [p.u.]
Vpoc(t)Terminal voltage at the point of connection of the EV charger [p.u.]

References

  1. The Motor Vehicle Agency (Motorstyrelsen). Registration Tax and Rates. Available online: https://motorst.dk/en-us/individuals/vehicle-taxes/registration-tax/registration-tax-and-rates (accessed on 24 September 2024).
  2. Danmarks Statistik. New Registrations and Used Cars. Available online: https://www.dst.dk/en/Statistik/emner/transport/transportmidler/nyregistrerede-og-brugte-biler (accessed on 12 September 2024).
  3. Viganò, G.; Clerici, D.; Michelangeli, C.; Moneta, D.; Bosisio, A.; Morotti, A.; Greco, B.; Caterina, P. Energy transition through PVs, EVs, and HPs: A case study to assess the impact on the Brescia distribution network. In Proceedings of the 2021 AEIT International Annual Conference (AEIT), Milan, Italy, 4–8 October 2021; pp. 1–6. [Google Scholar]
  4. Kotsonias, A.; Hadjidemetriou, L.; Kyriakides, E.; Ioannou, Y. Operation of a low voltage distribution grid in Cyprus and the impact of photovoltaics and electric vehicles. In Proceedings of the 2019 IEEE PES Innovative Smart Grid Technologies Europe (ISGT-Europe), Bucharest, Romania, 29 September–2 October 2019; pp. 1–5. [Google Scholar]
  5. Oliyide, R.O.; Cipcigan, L.M. The impacts of electric vehicles and heat pumps load profiles on low voltage distribution networks in Great Britain by 2050. Int. Multidiscip. Res. J. 2021, 11, 30–45. [Google Scholar] [CrossRef]
  6. van der Burgt, J.; Vera, S.P.; Wille-Haussmann, B.; Andersen, A.N.; Tambjerg, L.H. Grid impact of charging electric vehicles; study cases in Denmark, Germany and The Netherlands. In Proceedings of the 2015 IEEE Eindhoven PowerTech, Eindhoven, The Netherlands, 29 June–2 July 2015; pp. 1–6. [Google Scholar]
  7. Procopiou, A.T.; Quirós-Tortós, J.; Ochoa, L.F. HPC-based probabilistic analysis of LV networks with EVs: Impacts and control. IEEE Trans. Smart Grid 2016, 8, 1479–1487. [Google Scholar] [CrossRef]
  8. Kong, W.; Ma, K.; Li, F. Probabilistic impact assessment of phase power imbalance in the LV networks with increasing penetrations of low carbon technologies. Electr. Power Syst. Res. 2022, 202, 107607. [Google Scholar] [CrossRef]
  9. Sortomme, E.; Hindi, M.M.; MacPherson, S.J.; Venkata, S. Coordinated charging of plug-in hybrid electric vehicles to minimize distribution system losses. IEEE Trans. Smart Grid 2010, 2, 198–205. [Google Scholar] [CrossRef]
  10. Srivastava, A.; Manas, M.; Dubey, R.K. Electric vehicle integration’s impacts on power quality in distribution network and associated mitigation measures: A review. J. Eng. Appl. Sci. 2023, 70, 32. [Google Scholar] [CrossRef]
  11. Brinkel, N.; Schram, W.; AlSkaif, T.; Lampropoulos, I.; Van Sark, W. Should we reinforce the grid? Cost and emission optimization of electric vehicle charging under different transformer limits. Appl. Energy 2020, 276, 115285. [Google Scholar] [CrossRef]
  12. Sharif, M.; Seker, H. Smart EV Charging With Context-Awareness: Enhancing Resource Utilization via Deep Reinforcement Learning. IEEE Access 2024, 12, 7009–7027. [Google Scholar] [CrossRef]
  13. Singh, A.R.; Kumar, R.S.; Madhavi, K.R.; Alsaif, F.; Bajaj, M.; Zaitsev, I. Optimizing demand response and load balancing in smart EV charging networks using AI integrated blockchain framework. Sci. Rep. 2024, 14, 31768. [Google Scholar] [CrossRef] [PubMed]
  14. Yuan, W.; Guan, L. Minimizing System Entropy: A Dual-Phase Optimization Approach for EV Charging Scheduling. Entropy 2025, 27, 303. [Google Scholar] [CrossRef] [PubMed]
  15. Calearo, L.; Thingvad, A.; Suzuki, K.; Marinelli, M. Grid loading due to EV charging profiles based on pseudo-real driving pattern and user behavior. IEEE Trans. Transp. Electrif. 2019, 5, 683–694. [Google Scholar] [CrossRef]
  16. Al Zishan, A.; Haji, M.M.; Ardakanian, O. Adaptive congestion control for electric vehicle charging in the smart grid. IEEE Trans. Smart Grid 2021, 12, 2439–2449. [Google Scholar] [CrossRef]
  17. Ramadan, H.; Ali, A.; Nour, M.; Farkas, C. Smart charging and discharging of plug-in electric vehicles for peak shaving and valley filling of the grid power. In Proceedings of the 2018 Twentieth International Middle East Power Systems Conference (MEPCON), Cairo, Egypt, 18–20 December 2018; pp. 735–739. [Google Scholar]
  18. Secchi, M.; Barchi, G.; Macii, D.; Petri, D. Smart electric vehicles charging with centralised vehicle-to-grid capability for net-load variance minimisation under increasing EV and PV penetration levels. Sustain. Energy Grids Netw. 2023, 35, 101120. [Google Scholar] [CrossRef]
  19. Weckx, S.; Driesen, J. Load balancing with EV chargers and PV inverters in unbalanced distribution grids. IEEE Trans. Sustain. Energy 2015, 6, 635–643. [Google Scholar] [CrossRef]
  20. Saleh, S.V.; Latify, M.A. Coordinated Unbalance Compensation and Harmonic Mitigation in the Secondary Distribution Network Through EVs Participation. IEEE Trans. Smart Grid 2024, 15, 4450–4462. [Google Scholar] [CrossRef]
  21. Ireshika, M.A.S.T.; Lliuyacc-Blas, R.; Kepplinger, P. Voltage-based droop control of electric vehicles in distribution grids under different charging power levels. Energies 2021, 14, 3905. [Google Scholar] [CrossRef]
  22. Sinha, R.; Chaudhary, S.K.; Bak-Jensen, B.; Golmohamadi, H. Smart Operation Control of Power and Heat Demands in Active Distribution Grids Leveraging Energy Flexibility. Energies 2024, 17, 2986. [Google Scholar] [CrossRef]
  23. Danish Energy Agency (Energistyrelsen). Information About the Heating Area. Available online: https://ens.dk/forsyning-og-forbrug/information-om-varme (accessed on 12 November 2024).
  24. Nagel, N.O.; Jåstad, E.O.; Martinsen, T. The grid benefits of vehicle-to-grid in Norway and Denmark: An analysis of home- and public parking potentials. Energy 2024, 293, 130729. [Google Scholar] [CrossRef]
  25. Sinha, R.; Moldes, E.R.; Zaidi, A.; Mahat, P.; Pillai, J.R.; Hansen, P. An electric vehicle charging management and its impact on losses. In Proceedings of the IEEE PES ISGT Europe, Lyngby, Denmark, 6–9 October 2013; pp. 1–5. [Google Scholar]
  26. Dixon, J.; Bell, K. Electric vehicles: Battery capacity, charger power, access to charging and the impacts on distribution networks. eTransportation 2020, 4, 100059. [Google Scholar] [CrossRef]
  27. Sinha, R.; Golmohamadi, H.; Chaudhary, S.K.; Bak-Jensen, B. Electric Vehicle Charging Management with Droop Control. In Proceedings of the 2024 IEEE International Conference on Power System Technology (PowerCon), Kathmandu, Nepal, 4–6 November 2024; pp. 1–5. [Google Scholar]
  28. Sustainable and Integrated Energy Systems in Local Communities-SERENE. Available online: https://h2020serene.eu/ (accessed on 11 February 2025).
  29. Sustainable Energy System for Achieving Novel Carbon Neutral Energy Communities-H2020 SUSTENANCE. Available online: https://h2020sustenance.eu/ (accessed on 10 February 2025).
  30. Coria, G.E.; Penizzotto, F.; Romero, A. Probabilistic analysis of impacts on distribution networks due to the connection of diverse models of plug-in electric vehicles. IEEE Lat. Am. Trans. 2020, 18, 2063–2072. [Google Scholar] [CrossRef]
Figure 1. Load flow analysis of a residential area in Denmark with 67 houses: 37 houses need HPs in the future and 5 houses already have EVs in present.
Figure 1. Load flow analysis of a residential area in Denmark with 67 houses: 37 houses need HPs in the future and 5 houses already have EVs in present.
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Figure 2. Box plot of transformer loading in 2023.
Figure 2. Box plot of transformer loading in 2023.
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Figure 3. 24 h plot of maximum and minimum transformer loading profiles in 2023.
Figure 3. 24 h plot of maximum and minimum transformer loading profiles in 2023.
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Figure 4. Architecture of EV charging and discharging control [22].
Figure 4. Architecture of EV charging and discharging control [22].
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Figure 5. Dynamic simulation results of EV charging without voltage droop control (x-axis in hours). Different curves in subfigure (b) represent loadings of different cables between terminals; different curves in subfigure (c) represent voltages of different terminals, which are numbered as “T_xx” in Figure 1; different curves in subfigure (d,e) represent charging power and SOC of EVs at different terminals.
Figure 5. Dynamic simulation results of EV charging without voltage droop control (x-axis in hours). Different curves in subfigure (b) represent loadings of different cables between terminals; different curves in subfigure (c) represent voltages of different terminals, which are numbered as “T_xx” in Figure 1; different curves in subfigure (d,e) represent charging power and SOC of EVs at different terminals.
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Figure 6. Dynamic simulation results of EV charging with voltage droop control (x-axis in hours). Different curves in subfigure (b) represent loadings of different cables between terminals; different curves in subfigure (c) represent voltages of different terminals, which are numbered as “T_xx” in Figure 1; different curves in subfigure (d,e) represent charging power and SOC of EVs at different terminals.
Figure 6. Dynamic simulation results of EV charging with voltage droop control (x-axis in hours). Different curves in subfigure (b) represent loadings of different cables between terminals; different curves in subfigure (c) represent voltages of different terminals, which are numbered as “T_xx” in Figure 1; different curves in subfigure (d,e) represent charging power and SOC of EVs at different terminals.
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MDPI and ACS Style

Zhang, H.; Sinha, R.; Golmohamadi, H.; Chaudhary, S.K.; Bak-Jensen, B. Autonomous Control of Electric Vehicles Using Voltage Droop. Energies 2025, 18, 2824. https://doi.org/10.3390/en18112824

AMA Style

Zhang H, Sinha R, Golmohamadi H, Chaudhary SK, Bak-Jensen B. Autonomous Control of Electric Vehicles Using Voltage Droop. Energies. 2025; 18(11):2824. https://doi.org/10.3390/en18112824

Chicago/Turabian Style

Zhang, Hanchi, Rakesh Sinha, Hessam Golmohamadi, Sanjay K. Chaudhary, and Birgitte Bak-Jensen. 2025. "Autonomous Control of Electric Vehicles Using Voltage Droop" Energies 18, no. 11: 2824. https://doi.org/10.3390/en18112824

APA Style

Zhang, H., Sinha, R., Golmohamadi, H., Chaudhary, S. K., & Bak-Jensen, B. (2025). Autonomous Control of Electric Vehicles Using Voltage Droop. Energies, 18(11), 2824. https://doi.org/10.3390/en18112824

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