<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0121-750X</journal-id>
<journal-title><![CDATA[Ingeniería]]></journal-title>
<abbrev-journal-title><![CDATA[ing.]]></abbrev-journal-title>
<issn>0121-750X</issn>
<publisher>
<publisher-name><![CDATA[Universidad Distrital Francisco José de Caldas]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0121-750X2024000100208</article-id>
<article-id pub-id-type="doi">10.14483/23448393.21340</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Stochastic Mixed-Integer Branch Flow Optimization for the Optimal Integration of Fixed-Step Capacitor Banks in Electrical Distribution Grids]]></article-title>
<article-title xml:lang="es"><![CDATA[Optimización estocástica, entera mixta y de flujo por ramas para la integración óptima de bancos de capacitores de paso fijo en redes de distribución de energía]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gil-Gonzalez]]></surname>
<given-names><![CDATA[Walter]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Herrera-Orozco]]></surname>
<given-names><![CDATA[Andres Ricardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Molina-Cabrera]]></surname>
<given-names><![CDATA[Alexander]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Tecnologica de Pereira  ]]></institution>
<addr-line><![CDATA[Pereira ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Tecnologica de Pereira  ]]></institution>
<addr-line><![CDATA[Pereira ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Tecnologica de Pereira  ]]></institution>
<addr-line><![CDATA[Pereira ]]></addr-line>
<country>Colombia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>04</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>04</month>
<year>2024</year>
</pub-date>
<volume>29</volume>
<numero>1</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0121-750X2024000100208&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-750X2024000100208&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-750X2024000100208&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract  Context: The use of capacitor banks is the most common and preferred solution for reducing power losses in electrical distribution networks, given their cost-effectiveness and low maintenance requirements. However, achieving their optimal integration in terms of location and size is a challenging problem.  Method: This paper proposes a stochastic mixed-integer convex model based on a branch flow optimization model, which incorporates three different load-generation conditions, in order to address the stochastic nature of distribution systems.  Results: The simulation results indicate that the proposed stochastic mixed-integer branch flow (SMIBF) model provides the best solution for all test feeders analyzed, reducing the objective function value by 39,81, 35,29, and 56,31 % regarding the benchmark case in the modified 33-, 69-, and 85-node test feeders, respectively.  Conclusions: An SMIBF model was developed to optimally integrate fixed-step capacitor banks into electrical distribution grids. This model considered the stochastic nature of distribution systems under multiple operating conditions and ensured that the global optimum could be found.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen  Contexto: El uso de bancos de capacitores es la solución más común y preferida para reducir la pérdida de energía en redes de distribución eléctrica, dados su rentabilidad y bajos requisitos de mantenimiento. Sin embargo, lograr su integración óptima en términos de ubicación y tamaño es un problema desafiante.  Métodos: Este artículo propone un modelo convexo estocástico entero-mixto basado en un modelo de optimización de flujo de ramas, el cual incorpora tres diferentes condiciones de generación-carga, para abordar la naturaleza estocástica de los sistemas de distribución.  Resultados: Los resultados de la simulación indican que el modelo SMIBF propuesto proporcionó la mejor solución para todos los sistemas de prueba analizados, reduciendo el valor de la función objetivo en un 39,81, 35,29 y 56,31 % respecto al caso de referencia para los alimentadores de prueba modificados de 33, 69 y 85 nodos respectivamente.  Conclusiones: Se desarrolló un modelo SMIBF para la integración óptima de bancos de capacitores de paso fijo en redes de distribución eléctrica. Este modelo tuvo en cuenta la naturaleza estocástica de los sistemas de distribución bajo múltiples condiciones de operación y garantizó que se pudiera encontrar el óptimo global.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[stochastic mixed-integer model]]></kwd>
<kwd lng="en"><![CDATA[branch flow optimization]]></kwd>
<kwd lng="en"><![CDATA[fixed-step capacitor banks]]></kwd>
<kwd lng="en"><![CDATA[electrical distribution network]]></kwd>
<kwd lng="en"><![CDATA[global optimum]]></kwd>
<kwd lng="es"><![CDATA[modelo estocástico de enteros mixtos]]></kwd>
<kwd lng="es"><![CDATA[optimización de flujo de ramas]]></kwd>
<kwd lng="es"><![CDATA[bancos de capacitores de paso fijo]]></kwd>
<kwd lng="es"><![CDATA[red de distribución eléctrica]]></kwd>
<kwd lng="es"><![CDATA[óptimo global]]></kwd>
</kwd-group>
</article-meta>
</front><back>
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