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A battery energy storage system (BESS) plays an important role in microgrids because it helps mitigate the problems caused by the variability of renewable energy sources, such as unattended demand and voltage instability. However, a BESS increases the cost of a microgrid due to the initial investment and maintenance, requiring a cost\u2013benefit analysis to determine its size for each application. This paper addresses this problem by formulating a method that combines economic and technical approaches to provide favorable relations between costs and performances. Mixed integer linear programming (MILP) is used as optimization algorithm to size BESS, which is applied to an isolated community in Colombia located at Isla M\u00facura. The results indicate that the optimal BESS requires a maximum power of 17.6 kW and a capacity of 76.61 kWh, which is significantly smaller than the existing 480 kWh system. Thus, a reduction of 83.33% in the number of batteries is obtained. This optimized size reduces operational costs while maintaining technical reliability. The proposed method aims to solve an important problem concerning state policy and the universalization of electrical services, providing more opportunities to decision makers in minimizing the costs and efforts in the implementation of energy storage systems for isolated microgrids.<\/jats:p>","DOI":"10.3390\/computation13050114","type":"journal-article","created":{"date-parts":[[2025,5,12]],"date-time":"2025-05-12T04:21:23Z","timestamp":1747023683000},"page":"114","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Battery Sizing Method for Microgrids\u2014A Colombian Application Case"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-0752-9005","authenticated-orcid":false,"given":"Andres Felipe","family":"Zamora-Mu\u00f1oz","sequence":"first","affiliation":[{"name":"Escuela de Ingenier\u00eda El\u00e9ctrica y Electr\u00f3nica, Universidad del Valle, Cali 760042, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5458-2427","authenticated-orcid":false,"given":"Martha Lucia","family":"Orozco-Gutierrez","sequence":"additional","affiliation":[{"name":"Escuela de Ingenier\u00eda El\u00e9ctrica y Electr\u00f3nica, Universidad del Valle, Cali 760042, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8471-2835","authenticated-orcid":false,"given":"Dany Mauricio","family":"Lopez-Santiago","sequence":"additional","affiliation":[{"name":"Grupo de Investigaci\u00f3n GITICAP, Potencia y Tecnolog\u00edas Incorporadas S.A., Carrera 56, 2-50, Cali 760042, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9354-1145","authenticated-orcid":false,"given":"Jhoan Alejandro","family":"Montenegro-Oviedo","sequence":"additional","affiliation":[{"name":"Escuela de Ingenier\u00eda El\u00e9ctrica y Electr\u00f3nica, Universidad del Valle, Cali 760042, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2231-4177","authenticated-orcid":false,"given":"Carlos Andres","family":"Ramos-Paja","sequence":"additional","affiliation":[{"name":"Facultad de Minas, Universidad Nacional de Colombia, Medellin 050041, Colombia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1109\/TSG.2011.2160745","article-title":"Sizing of Energy Storage for Microgrids","volume":"3","author":"Chen","year":"2012","journal-title":"IEEE Trans. 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Energy"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.ijepes.2013.10.019","article-title":"Optimal sizing of battery energy storage for micro-grid operation management using a new improved bat algorithm","volume":"56","year":"2014","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1049\/iet-gtd.2015.0429","article-title":"Grey wolf optimisation for optimal sizing of battery energy storage device to minimise operation cost of microgrid","volume":"10","author":"Sharma","year":"2016","journal-title":"IET Gener. Transm. Distrib."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"44","DOI":"10.1016\/j.est.2019.02.027","article-title":"Optimal sizing of battery energy storage systems in off-grid micro grids using convex optimization","volume":"23","author":"Zolfaghari","year":"2019","journal-title":"J. Energy Storage"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"5766","DOI":"10.1002\/er.6198","article-title":"Optimal energy management strategy for a renewable-based microgrid considering sizing of battery energy storage with control policies","volume":"45","author":"Quynh","year":"2021","journal-title":"Int. J. Energy Res."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1080\/15325008.2022.2061641","article-title":"Optimal Sizing and Management of Battery Energy Storage Systems in Microgrids for Operating Cost Minimization","volume":"49","author":"Vaka","year":"2021","journal-title":"Electr. Power Compon. Syst."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Tejero-G\u00f3mez, J.A., and Bayod-R\u00fajula, \u00c1.A. (2024). Analysis of Grid-Scale Photovoltaic Plants Incorporating Battery Storage with Daily Constant Setpoints. Energies, 17.","DOI":"10.3390\/en17236117"},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Bade, S.O., Tomomewo, O.S., Meenakshisundaram, A., Dey, M., Alamooti, M., and Halwany, N. (2025). Multi-Criteria Optimization of a Hybrid Renewable Energy System Using Particle Swarm Optimization for Optimal Sizing and Performance Evaluation. Clean Technol., 7.","DOI":"10.3390\/cleantechnol7010023"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"602","DOI":"10.3390\/cleantechnol6020032","article-title":"On\u2013off-Grid Optimal Hybrid Renewable Energy Systems for House Units in Iraq","volume":"6","author":"Alshamri","year":"2024","journal-title":"Clean Technol."},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Trivi\u0107, B., and Savi\u0107, A. (2025). Optimal Allocation and Sizing of BESS in a Distribution Network with High PV Production Using NSGA-II and LP Optimization Methods. Energies, 18.","DOI":"10.3390\/en18051076"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Saleeb, H., El-Rifaie, A.M., Sayed, K., Accouche, O., Mohamed, S.A., and Kassem, R. (2025). Optimal Sizing and Techno-Economic Feasibility of Hybrid Microgrid. Processes, 13.","DOI":"10.3390\/pr13041209"},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Rus-Casas, C., Gilabert-Torres, C., and Fern\u00e1ndez-Carrasco, J.I. (2024). Optimizing Energy Management and Sizing of Photovoltaic Batteries for a Household in Granada, Spain: A Novel Approach Considering Time Resolution. Batteries, 10.","DOI":"10.3390\/batteries10100358"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Amin, S.M.M., Hossain, N., Lipu, M.S.H., Urooj, S., and Akter, A. (2023). Development of a PV\/Battery Micro-Grid for a Data Center in Bangladesh: Resilience and Sustainability Analysis. Sustainability, 15.","DOI":"10.3390\/su152215691"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Jarso, A.K., Jin, G., and Ahn, J. (2025). Hybrid Genetic Algorithm-Based Optimal Sizing of a PV\u2013Wind\u2013Diesel\u2013Battery Microgrid: A Case Study for the ICT Center, Ethiopia. Mathematics, 13.","DOI":"10.3390\/math13060985"},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Guam\u00e1n-Molina, J., Pesantez, P., Chavez-Fuentez, C., and R\u00edos, A. (2023). Industrial Application of Photovoltaic Systems with Storage for Peak Shaving: Ecuador Case Study. Eng. Proc., 47.","DOI":"10.3390\/engproc2023047015"},{"key":"ref_25","first-page":"536","article-title":"Hierarchical predictive control of microgrids in islanded operation","volume":"14","author":"Cominesi","year":"2016","journal-title":"IEEE Trans. Autom. Sci. Eng."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"110022","DOI":"10.1016\/j.rser.2020.110022","article-title":"Review of optimal methods and algorithms for sizing energy storage systems to achieve decarbonization in microgrid applications","volume":"131","author":"Hannan","year":"2020","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1016\/j.tej.2012.09.013","article-title":"The U.S. Department of Energy\u2019s Microgrid Initiative","volume":"25","author":"Ton","year":"2012","journal-title":"Electr. J."},{"key":"ref_28","unstructured":"UPME (2024, April 20). Plan Indicativo de Expansi\u00f3n de Cobertura de Energ\u00eda El\u00e9ctrica\u2014PIEC 2019\u20132023, Available online: https:\/\/www1.upme.gov.co\/siel\/Pages\/Plan-indicativo-expansion-cobertura-EE-PIEC.aspx."},{"key":"ref_29","unstructured":"IPSE (2024, April 20). Centro Nacional de Monitoreo, Available online: https:\/\/ipse.gov.co\/cnm\/."},{"key":"ref_30","first-page":"3239","article-title":"MILP software","volume":"5","author":"Linderoth","year":"2010","journal-title":"Wiley Encycl. Oper. Res. Manag. Sci."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"996","DOI":"10.1109\/TSG.2012.2231440","article-title":"A Microgrid Energy Management System Based on the Rolling Horizon Strategy","volume":"4","author":"Benavides","year":"2013","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_32","unstructured":"IPSE (2024, April 20). Gu\u00eda Practica de Estructuraci\u00f3n de Proyectos, Available online: https:\/\/ipse.gov.co\/guia-practica-de-estructuracion-de-proyectos\/."},{"key":"ref_33","unstructured":"Renewables.ninja (2024, April 20). Solar Photovoltaic Power. Available online: https:\/\/www.renewables.ninja\/."},{"key":"ref_34","unstructured":"GlobalPetrolPrices (2024, April 20). Colombia Precios del Diesel. Available online: https:\/\/es.globalpetrolprices.com\/Colombia\/diesel_prices\/."},{"key":"ref_35","unstructured":"Distribuidora, G.G. (2024, April 20). Catalogo Plantas El\u00e9ctricas. Available online: https:\/\/gedisa.com.ve\/recientes_aun\/catalogos\/electricos\/libreria_planta\/ConjuntoMarco_01.html."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"1505","DOI":"10.3390\/en8021505","article-title":"Energy Coordinative Optimization of Wind-Storage-Load Microgrids Based on Short-Term Prediction","volume":"8","author":"Hu","year":"2015","journal-title":"Energies"},{"key":"ref_37","unstructured":"Megger (2025, April 24). Battery Testing Guide. Available online: https:\/\/megger.widen.net\/s\/cdtz6qcgg5\/batterytesting-guide_en_v02."},{"key":"ref_38","unstructured":"Made in China (2025, April 24). Bater\u00eda Solar de Plomo-\u00e1cido Sellada SMF de 2V 2500ah Cspower. Available online: https:\/\/es.made-in-china.com\/co_cspower\/product_Cspower-2V-2500ah-SMF-Sealed-Lead-Acid-Battery-Solar-Battery_rnoinnuug.html."},{"key":"ref_39","unstructured":"HITACHI (2025, April 24). \u00bfC\u00f3mo Calcular la Potencia de Aire Acondicionado para una Superficie Determinada?. Available online: https:\/\/www.hitachiaircon.com\/es\/noticias\/descubre-como-calcular-la-potencia-de-aire-acondicionado-que-necesitas-para-tu-casa."}],"container-title":["Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2079-3197\/13\/5\/114\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T17:30:36Z","timestamp":1760031036000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2079-3197\/13\/5\/114"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,5,10]]},"references-count":39,"journal-issue":{"issue":"5","published-online":{"date-parts":[[2025,5]]}},"alternative-id":["computation13050114"],"URL":"https:\/\/doi.org\/10.3390\/computation13050114","relation":{},"ISSN":["2079-3197"],"issn-type":[{"value":"2079-3197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,5,10]]}}}