Published
Strategy for EV Charging Station Placement Using a Bootstrapping-Based Probabilistic Power Flow
Estrategia para la ubicación de estaciones de carga de EVs utilizando un flujo de carga probabilístico basado en bootstrapping
DOI:
https://doi.org/10.15446/ing.investig.116496Keywords:
Bootstrap method, charging stations, electric vehicles, decision-making, energy efficiency, probabilistic power flow, probability density function, uncertainty (en)método bootstrap, estaciones de carga, vehículos eléctricos, toma de decisiones, eficiencia energética, flujo de carga probabilístico, función de densidad de probabilidad, incertidumbre (es)
Downloads
This work proposes a technique for placing electric vehicle charging stations using a bootstrapping-based probabilistic power flow. The methodology employs maximum likelihood estimation to model uncertainties in EV charging demand and establish robust confidence intervals for key system metrics. This approach was implemented in the Matpower simulation software within the IEEE-14 bus system, modeling the probabilistic load profile of 4500 EVs while considering 4000 realizations to obtain a wide spectrum of operation scenarios. The main results identified bus 9 as the optimal location for EV charging infrastructure, obtaining minimal active power losses (26.5 +/- 0.5 MW) and a maximum efficiency of 92.87 +/- 0.08 %. The strategic placement of charging stations is closely linked to the lowest active power losses, offering optimal efficiency. However, beyond an optimal placement, this paper aims to increase the robustness of modern grids, overcoming drawbacks related to the integration of electromobility infrastructure. The selection of the most representative features, combined with uncertainty analysis, contributes to an improved decision-making, emphasizing the need for supporting sustainable mobility.
Este trabajo propone una técnica para ubicar estaciones de carga de vehículos eléctricos mediante un flujo de potencia probabilístico basado en \textit{bootstrapping}. La metodología emplea la estimación de máxima verosimilitud para modelar las incertidumbres en la demanda de carga de vehículos eléctricos y establecer intervalos de confianza robustos para los principales indicadores del sistema. Este enfoque se implementó en el \textit{software} de simulación Matpower dentro del sistema de 14 nodos del IEEE, modelando el perfil de carga probabilístico de 4500 vehículos eléctricos y considerando 4000 realizaciones para obtener un amplio espectro de escenarios de operación. Los principales resultados identificaron el bus 9 como la ubicación óptima para la infraestructura de carga de vehículos eléctricos, obteniendo pérdidas activas mínimas (26.5 +/- 0.5 MW) y una eficiencia máxima de 92.87 +/- 0.08 %. La ubicación estratégica de las estaciones de carga está estrechamente vinculada con las menores pérdidas de potencia activa, ofreciendo una eficiencia óptima. No obstante, más allá de una ubicación óptima, este artículo buscó incrementar la robustez de las redes modernas, superando las limitaciones relacionadas con la integración de infraestructura de electromovilidad. La selección de las características más representativas, combinada con el análisis de incertidumbre, contribuye a una mejor toma de decisiones, subrayando la necesidad de apoyar la movilidad sostenible.
References
Abed, W. N. A.-D. (2023). Solving probabilistic optimal power flow with renewable energy sources in distribution networks using fire hawk optimizer, e-Prime- Advances in Electrical Engineering, Electronics and Energy 6: 100370. https://doi.org/10.1016/j.prime.2023.100370.
Amini, M. H., Kargarian, A. and Karabasoglu, O. (2016). Arima-based decoupled time series forecasting of electric vehicle charging demand for stochastic power system operation, Electric Power Systems Research 140: 378–390. https://doi.org/10.1016/j.epsr.2016.06.003.
Anad´ on Mart´ınez, V. and Sumper, A. (2022). Planning and operation objectives of public electric vehicle charging infrastructures: A review, Energies 16(14): 5431. https: //doi.org/10.3390/en16145431.
Arango Serna, M. D., Serna, C. A. and P´ erez Ortega, G. (2010). Parametric linear programming for a materials requirement planning problem solution with uncertainty, Ingenier´ ıa e Investigaci ´ on 30: 96{105. https://doi.org/10.15446/ing. investig.v30n3.18181.
Arif, A., Wang, Z., Wang, J., Mather, B., Bashualdo, H.andZhao, D. (2018). Load modeling|a review, IEEE Transactions on Smart Grid 9(6): 5986–5999. https://doi.org/10.1109/ TSG.2017.2700436.
Bibri, S. E., Krogstie, J., Amin, K. and Alahi, A. (2024). Smarter eco-cities and their leading-edge artificial intelligence of things solutions for environmental sustainability: A
comprehensive systematic review., Environmental Science and Ecotechnology 19: 100330. https://doi.org/10.1016/ j.ese.2023.100330.
Danese, A., Torsæter, B. N., Sumper, A. and Garau, M. (2022).Planning of high-power charging stations for electric vehicles: A review, Applied Sciences 12(7): 3214. https://doi.org/10.3390/app12073214.
Dileep, G. (2020). A survey on smart grid echnologies and applications, Renewable energy 146: 2589–2625. https: //doi.org/10.1016/j.renene.2019.08.092.
Guo, Q., Nojavan, S., Lei, S. and Liang, X. 2021). Economic environmental analysis of renewable-based microgrid under a cvar-based two-stage stochastic model with efficient integration of plug-in electric vehicle and demand response, Sustainable Cities and Society 75: 103276. https://doi.org/10.1016/j.scs.2021.103276. IEEE (1962).
14 bus power flow test case, Illinois Center for a Smarter Electric Grid (ICSEG) Available online: https:// icseg.iti.illinois.edu/ieee-14-bus-system(Accessed on 25 August 2024).
Li, G. and Zhang, X.-P. (2012). Modeling of plug-in hybrid electric vehicle charging demand in probabilistic power flow calculations, IEEE Transactions on Smart Grid 3(1): 492–499. https://doi.org/10.1109/TSG.2011. 2172643.
Markensteijn, A., Romate, J. and Vuik, C. (2020). A graph-based model framework for steady-state load flow problems of general multi-carrier energy systems, Applied Energy 280: 115286. https://doi.org/10.1016/j.apenergy.2020. 115286.
Mokhtar, S. F., Yusof, Z. M. and Sapiri, H. (2023).Confidence intervals by bootstrapping approach: A significance review, Malaysian Journal of Fundamental and Applied Sciences (MJFAS) 19(1): 30–42. https://doi.org/10.11113/ mjfas.v19n1.2660.
Pessoa, A., Sousa, G., Mau´ es, L., Alvarenga, F. and Santos, D. (2021). Cost forecasting of public construction projects using multilayer perceptron artificial neural networks: A case study, Ingenier´ ıa e Investigaci´ on 41(3): 1–11. https://doi.org/10.15446/ing.investig.v41n3.87737.
Prusty, B. R. and Jena, D. (2017). A critical review on probabilistic load flow studies in uncertainty constrained power systems with photovoltaic generation and a new approach, Renewable and Sustainable Energy Reviews 69: 1286–1302. https://doi.org/10.1016/j.rser.2016.12. 044.
Romero, A. A., Zini, H. C. and Ratta, G. (2011). An overview of approaches for modelling uncertainty in harmonic loadflow, Ingenier´ ıa e Investigaci ´ on 31: 18{26. https://doi.org/ 10.15446/ing.investig.v31n2SUP.25207.
Salazar-Caceres, F., Ramirez-Murillo, H., Torres-Pinz´ on, C. A. and Camargo-Mart´ınez, M. P. (2024). Performance estimation technique for solar-wind hybrid systems: A machine learning approach, Alexandria Engineering Journal 87: 175–185. https://doi.org/10.1016/j.aej.2023. 12.029.
Singh, V., Moger, T. and Jena, D. (2022). Uncertainty handling techniques in power systems: A critical review, Electric Power Systems Research 203: 107633. https://doi.org/10.
1016/j.epsr.2021.107633.
Tan, B., Chen, H., Zheng, X. and Huang, J. (2022). Two stage robust optimization dispatch for multiple microgrids with electric vehicle loads based on a novel data-driven uncertainty set, International Journal of Electrical Power & Energy Systems 134: 107359. https://doi.org/10.1016/j. ijepes.2021.107359.
Wang, H., Yan, Z., Xu, X. and He, K. (2020). Probabilistic power flow analysis of microgrid with renewable energy, International Journal of Electrical Power & Energy Systems 114: 105393. https://doi.org/10.1016/j.ijepes.2019.105393.
Younesi, A., Shayeghi, H., Wang, Z., Siano, P., Mehrizi Sani, A. and Safari, A. (2022). Trends in modern power systemsresilience: State-of-the-art review, Renewable and Sustainable Energy Reviews 162: 112397. https://doi.org/10.1016/j.rser.2022.112397.
Zimmerman, R., Murillo-S´ anchez, C. and Gan, D. (1997). Free, open-source tools for electric power system simulation and optimization, Available online: https://matpower. org/(Accessed on 25 August 2024).
Zuluaga, C. D. and ´ Alvarez, M. A. (2018). Bayesian probabilistic power flow analysis using jacobian approximate bayesian computation, IEEE Transactions on Power Systems 33(5): 5217–5225. https://doi.org/10.1109/TPWRS.2018.2810641.
How to Cite
APA
ACM
ACS
ABNT
Chicago
Harvard
IEEE
MLA
Turabian
Vancouver
Download Citation
License
Copyright (c) 2025 Harrynson Ramírez Murillo, Ricardo Rincon, Fabián Salazar, Martha Patricia Camargo, Natalia Rojas-Medina, Camilo Leal-Rincón

This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors or holders of the copyright for each article hereby confer exclusive, limited and free authorization on the Universidad Nacional de Colombia's journal Ingeniería e Investigación concerning the aforementioned article which, once it has been evaluated and approved, will be submitted for publication, in line with the following items:
1. The version which has been corrected according to the evaluators' suggestions will be remitted and it will be made clear whether the aforementioned article is an unedited document regarding which the rights to be authorized are held and total responsibility will be assumed by the authors for the content of the work being submitted to Ingeniería e Investigación, the Universidad Nacional de Colombia and third-parties;
2. The authorization conferred on the journal will come into force from the date on which it is included in the respective volume and issue of Ingeniería e Investigación in the Open Journal Systems and on the journal's main page (https://revistas.unal.edu.co/index.php/ingeinv), as well as in different databases and indices in which the publication is indexed;
3. The authors authorize the Universidad Nacional de Colombia's journal Ingeniería e Investigación to publish the document in whatever required format (printed, digital, electronic or whatsoever known or yet to be discovered form) and authorize Ingeniería e Investigación to include the work in any indices and/or search engines deemed necessary for promoting its diffusion;
4. The authors accept that such authorization is given free of charge and they, therefore, waive any right to receive remuneration from the publication, distribution, public communication and any use whatsoever referred to in the terms of this authorization.










