An Arithmetic Optimization Algorithm for the Optimal Deployment of Electric Vehicle Fast Charging Stations in the Distribution Network with PV Integration
Received: 4 September 2025 | Revised: 12 October 2025 | Accepted: 18 October 2025 | Online: 17 November 2025
Corresponding author: Hung Duc Nguyen
Abstract
Electric Vehicles (EVs) have attracted significant interest from the automotive sector and government bodies due to their lower carbon dioxide emissions and reduced maintenance and operational expenses. However, the increasing adoption of EVs impacts distribution network factors, including power losses and voltage stability. To ensure network reliability, it is crucial to strategically locate EV Fast-Charging Stations (EV-FCSs). This study presents a two-stage approach for optimal FCS placement. In Stage 1, a Charging Station Owner Decision Index (CSODI) is proposed to identify cost-effective locations with high EV traffic. In Stage 2, an Enhanced Arithmetic Optimization Algorithm (EAOA) is applied to minimize real power loss and investment costs, while ensuring that system constraints are met. The proposed method is validated using the IEEE 34-bus distribution system under two scenarios: one without Vehicle-to-Grid (V2G) and the other with V2G. Further analysis considers three subcases: optimizing for investment cost (Case 1), a balanced trade-off (Case 2), and power loss minimization (Case 3). The results demonstrate that V2G significantly reduces power loss and improves voltage stability across all cases, with Case 2 offering the best balance between cost and efficiency. The findings confirm that optimized FCS placement, coupled with V2G and renewable integration, enhances grid performance, sustainability, and cost efficiency in modern distribution networks.
Keywords:
distribution networks, electric vehicles, fast charging stations, distributed generationDownloads
References
L. Chen, C. Xu, H. Song, and K. Jermsittiparsert, "Optimal sizing and sitting of EVCS in the distribution system using metaheuristics: A case study," Energy Reports, vol. 7, pp. 208–217, Nov. 2021. DOI: https://doi.org/10.1016/j.egyr.2020.12.032
Md. M. Islam, H. Shareef, and A. Mohamed, "Optimal location and sizing of fast charging stations for electric vehicles by incorporating traffic and power networks," IET Intelligent Transport Systems, vol. 12, no. 8, pp. 947–957, 2018. DOI: https://doi.org/10.1049/iet-its.2018.5136
A. Pal, A. Bhattacharya, and A. K. Chakraborty, "Allocation of electric vehicle charging station considering uncertainties," Sustainable Energy, Grids and Networks, vol. 25, Mar. 2021, Art. no. 100422. DOI: https://doi.org/10.1016/j.segan.2020.100422
G. Battapothula, C. Yammani, and S. Maheswarapu, "Multi-objective optimal planning of FCSs and DGs in distribution system with future EV load enhancement," IET Electrical Systems in Transportation, vol. 9, no. 3, pp. 128–139, 2019. DOI: https://doi.org/10.1049/iet-est.2018.5066
M. H. Moradi, M. Abedini, S. M. R. Tousi, and S. M. Hosseinian, "Optimal siting and sizing of renewable energy sources and charging stations simultaneously based on Differential Evolution algorithm," International Journal of Electrical Power & Energy Systems, vol. 73, pp. 1015–1024, Dec. 2015. DOI: https://doi.org/10.1016/j.ijepes.2015.06.029
L. Bitencourt, T. P. Abud, B. H. Dias, B. S. M. C. Borba, R. S. Maciel, and J. Quirós-Tortós, "Optimal location of EV charging stations in a neighborhood considering a multi-objective approach," Electric Power Systems Research, vol. 199, Oct. 2021, Art. no. 107391. DOI: https://doi.org/10.1016/j.epsr.2021.107391
J. Cheng, J. Xu, W. Chen, and B. Song, "Locating and sizing method of electric vehicle charging station based on Improved Whale Optimization Algorithm," Energy Reports, vol. 8, pp. 4386–4400, Nov. 2022. DOI: https://doi.org/10.1016/j.egyr.2022.03.077
C. Li, L. Zhang, Z. Ou, Q. Wang, D. Zhou, and J. Ma, "Robust model of electric vehicle charging station location considering renewable energy and storage equipment," Energy, vol. 238, Jan. 2022, Art. no. 121713. DOI: https://doi.org/10.1016/j.energy.2021.121713
M. S. K. Reddy and K. Selvajyothi, "Optimal placement of electric vehicle charging station for unbalanced radial distribution systems," Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, vol. 47, no. 2, 2025, Art. no. 1731017. DOI: https://doi.org/10.1080/15567036.2020.1731017
A. Mohsenzadeh, S. Pazouki, S. Ardalan, and M.-R. Haghifam, "Optimal placing and sizing of parking lots including different levels of charging stations in electric distribution networks," International Journal of Ambient Energy, vol. 39, no. 7, pp. 743–750, 2018. DOI: https://doi.org/10.1080/01430750.2017.1345010
F. Ahmad, A. Iqbal, I. Ashraf, M. Marzband, and I. Khan, "Placement of Electric Vehicle Fast Charging Stations using Grey Wolf Optimization in Electrical Distribution Network," in 2022 IEEE International Conference on Power Electronics, Smart Grid, and Renewable Energy (PESGRE), Thiruvananthapuram (Trivandrum), Kerala, India, Jan. 2022, pp. 1–6. DOI: https://doi.org/10.1109/PESGRE52268.2022.9715842
X. Luo and R. Qiu, "Electric vehicle charging station location towards sustainable cities," International journal of environmental research and public health, vol. 17, no. 8, 2020, Art. no. 2785. DOI: https://doi.org/10.3390/ijerph17082785
P. Rajesh and F. H. Shajin, "Optimal allocation of EV charging spots and capacitors in distribution network improving voltage and power loss by Quantum-Behaved and Gaussian Mutational Dragonfly Algorithm (QGDA)," Electric Power Systems Research, vol. 194, May 2021, Art. no. 107049. DOI: https://doi.org/10.1016/j.epsr.2021.107049
M. Bilal, M. Rizwan, I. Alsaidan, and F. M. Almasoudi, "AI-Based Approach for Optimal Placement of EVCS and DG With Reliability Analysis," IEEE Access, vol. 9, pp. 154204–154224, 2021. DOI: https://doi.org/10.1109/ACCESS.2021.3125135
A. N. Archana and T. Rajeev, "A Novel Reliability Index Based Approach for EV Charging Station Allocation in Distribution System," IEEE Transactions on Industry Applications, vol. 57, no. 6, pp. 6385–6394, Oct. 2021. DOI: https://doi.org/10.1109/TIA.2021.3109570
F. Ahmad, I. Ashraf, A. Iqbal, M. Marzband, and I. Khan, "A novel AI approach for optimal deployment of EV fast charging station and reliability analysis with solar based DGs in distribution network," Energy Reports, vol. 8, pp. 11646–11660, Nov. 2022. DOI: https://doi.org/10.1016/j.egyr.2022.09.058
F. Ahmad, A. Iqbal, I. Ashraf, M. Marzband, and I. Khan, "Placement of electric vehicle fast charging stations in distribution network considering power loss, land cost, and electric vehicle population," Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, vol. 44, no. 1, pp. 1693–1709, Mar. 2022. DOI: https://doi.org/10.1080/15567036.2022.2055233
H. D. Nguyen, P. M. Le, and K. H. Truong, "Searching Optimal Placement and Operations of Energy Storage Systems based on Equilibrium Optimizer," Engineering, Technology & Applied Science Research, vol. 15, no. 4, pp. 24174–24180, Aug. 2025. DOI: https://doi.org/10.48084/etasr.11238
T. L. Duong and T. T. Nguyen, "Network Reconfiguration for an Electric Distribution System with Distributed Generators based on Symbiotic Organisms Search," Engineering, Technology & Applied Science Research, vol. 9, no. 6, pp. 4925–4932, Dec. 2019. DOI: https://doi.org/10.48084/etasr.3166
L. Abualigah, A. Diabat, S. Mirjalili, M. Abd Elaziz, and A. H. Gandomi, "The Arithmetic Optimization Algorithm," Computer Methods in Applied Mechanics and Engineering, vol. 376, Apr. 2021, Art. no. 113609. DOI: https://doi.org/10.1016/j.cma.2020.113609
T. H. B. Huy, T. V. Tran, D. Ngoc Vo, and H. T. T. Nguyen, "An improved metaheuristic method for simultaneous network reconfiguration and distributed generation allocation," Alexandria Engineering Journal, vol. 61, no. 10, pp. 8069–8088, Oct. 2022. DOI: https://doi.org/10.1016/j.aej.2022.01.056
T. V. Tran, B.-H. Truong, T. P. Nguyen, T. A. Nguyen, T. L. Duong, and D. N. Vo, "Reconfiguration of Distribution Networks With Distributed Generations Using an Improved Neural Network Algorithm," IEEE Access, vol. 9, pp. 165618–165647, 2021. DOI: https://doi.org/10.1109/ACCESS.2021.3134872
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