<?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>1405-7743</journal-id>
<journal-title><![CDATA[Ingeniería, investigación y tecnología]]></journal-title>
<abbrev-journal-title><![CDATA[Ing. invest. y tecnol.]]></abbrev-journal-title>
<issn>1405-7743</issn>
<publisher>
<publisher-name><![CDATA[Universidad Nacional Autónoma de México, Facultad de Ingeniería]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1405-77432020000400007</article-id>
<article-id pub-id-type="doi">10.22201/fi.25940732e.2020.21.4.035</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Modeling of a 1kW free piston Stirling engine: Opportunity for sustainable electricity production]]></article-title>
<article-title xml:lang="es"><![CDATA[Modelado de un motor Stirling de pistón libre de 1kW: Oportunidad para la producción de electricidad sostenible]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Ávila-Pérez]]></surname>
<given-names><![CDATA[José Rodrigo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gutiérrez-Urueta]]></surname>
<given-names><![CDATA[Geydy Luz]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Tapia-Rodríguez]]></surname>
<given-names><![CDATA[Fidencio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Araoz-Ramos]]></surname>
<given-names><![CDATA[Joseph]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Autónoma de San Luis Potosí  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Autónoma de San Luis Potosí  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>México</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad Panamericana Facultad de Ingeniería ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Equa Simulations AB  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
<country>Suecia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2020</year>
</pub-date>
<volume>21</volume>
<numero>4</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1405-77432020000400007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1405-77432020000400007&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1405-77432020000400007&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: As part of the many alternatives for the development of new methods for sustainable energy transformation, the Stirling engine is distinguished due to the characteristics of an external combustion engine, with many advantages. These engines can be activated with heat, representing an additional option for the use of renewable energy. The Free Piston Stirling Engine (FPSE) is special due to the elimination of all wearing mechanisms of a typical kinematic Stirling engine. A linear mechanical storage device replaces the crank device of the kinematic one, making possible long operating life, higher efficiency, and zero maintenance. This document presents a theoretical model of a Free Piston Stirling Engine (FPSE) based on a dynamical and thermal analysis. As the core of the study, the &#8220;first-order analysis&#8221; of the thermal machine is implemented by taking some ideal assumptions. A technique of evolutionary computation is presented as a feasible solution for finding functional correct design parameters. For the dynamical part, the mathematical model is obtained through energy balances, and then a stability study is implemented to assure the oscillations of the machine. Results include several cases, which offer parameters such as cylinder and rod area, cooler temperature, heater temperature, piston and displacer mass, piston and displacer stiffness, phase angle, frequency, and power. It is critical to consider the sensibility of the system, and therefore, it is essential to apply a stability analysis in order to fully understand the behavior of the thermal machine. Results were compared in terms of a calculated error considering first-order analysis and the stability study developed with the Schmidt analysis.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Como parte de las muchas alternativas para el desarrollo de nuevos métodos para la transformación de energía sostenible, el motor Stirling se distingue por las características de un motor de combustión externa, con muchas ventajas. Estos motores se pueden activar con calor, lo que representa una opción adicional para el uso de energía renovable. El motor de pistón libre Stirling (FPSE) es especial debido a la eliminación de todos los mecanismos de desgaste de un motor cinemático típico de Stirling. Un dispositivo de almacenamiento mecánico lineal reemplaza el dispositivo de manivela del cinemático, lo que hace posible una larga vida útil, una mayor eficiencia y un mantenimiento nulo. Este documento presenta un modelo teórico de un motor Stirling de pistón libre (MSPL) basado en un análisis dinámico y térmico. Como el núcleo del estudio, el "análisis de primer orden" de la máquina térmica se implementa tomando algunas suposiciones ideales. Una técnica de computación evolutiva se presenta como una solución factible para encontrar parámetros de diseño correctos y funcionales. Para la parte dinámica, el modelo matemático se obtiene a través de balances de energía, y luego se implementa un estudio de estabilidad para asegurar las oscilaciones de la máquina. Los resultados incluyen varios casos, que ofrecen parámetros como el área del cilindro y la varilla, la temperatura del enfriador, la temperatura del calentador, la masa del pistón y del desplazador, la rigidez del pistón y del desplazador, el ángulo de fase, la frecuencia y la potencia. Es fundamental tener en cuenta la sensibilidad del sistema y, por lo tanto, es esencial aplicar un análisis de estabilidad para comprender completamente el comportamiento de esta máquina térmica. Los resultados se comparan en términos de error calculado considerando el análisis de primer orden y el estudio de estabilidad desarrollado con el análisis de Schmidt.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Stirling]]></kwd>
<kwd lng="en"><![CDATA[engine]]></kwd>
<kwd lng="en"><![CDATA[free piston]]></kwd>
<kwd lng="en"><![CDATA[stability]]></kwd>
<kwd lng="en"><![CDATA[genetic algorithm]]></kwd>
<kwd lng="en"><![CDATA[design]]></kwd>
<kwd lng="es"><![CDATA[Stirling]]></kwd>
<kwd lng="es"><![CDATA[motor]]></kwd>
<kwd lng="es"><![CDATA[pistón libre]]></kwd>
<kwd lng="es"><![CDATA[estabilidad]]></kwd>
<kwd lng="es"><![CDATA[algoritmo genético]]></kwd>
<kwd lng="es"><![CDATA[diseño]]></kwd>
</kwd-group>
</article-meta>
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