<?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>S0121-750X2024000100207</article-id>
<article-id pub-id-type="doi">10.14483/23448393.21303</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Deduction and Application of the Average Switch Model in Power Electronic Devices for Simulation Time Reduction]]></article-title>
<article-title xml:lang="es"><![CDATA[Deducción y aplicación de modelo promedio del interruptor en dispositivos de electrónica de potencia para reducción del tiempo de simulación]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Benavides-Cordoba]]></surname>
<given-names><![CDATA[Santiago]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Romero-Carvajal]]></surname>
<given-names><![CDATA[Anamaria]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Munoz-Galeano]]></surname>
<given-names><![CDATA[Nicolas]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Cano-Quintero]]></surname>
<given-names><![CDATA[Juan Bernardo]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lopez-Lezama]]></surname>
<given-names><![CDATA[Jesus María]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad de Antioquia Departamento de Ingenieria Electrica Grupo de investigacion GIMEL]]></institution>
<addr-line><![CDATA[Medellín ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad de Antioquia Departamento de Ingenieria Electrica Grupo de investigacion GIMEL]]></institution>
<addr-line><![CDATA[Medellin ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,Universidad de Antioquia Departamento de Ingenieria Electrica Grupo de investigacion GIMEL]]></institution>
<addr-line><![CDATA[Medellin ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,Universidad de Antioquia Departamento de Ingenieria Electrica Grupo de investigacion GIMEL]]></institution>
<addr-line><![CDATA[Medellin ]]></addr-line>
<country>Colombia</country>
</aff>
<aff id="Af5">
<institution><![CDATA[,Universidad de Antioquia Departamento de Ingenieria Electrica Grupo de investigacion GIMEL]]></institution>
<addr-line><![CDATA[Medellin ]]></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=S0121-750X2024000100207&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0121-750X2024000100207&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0121-750X2024000100207&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract  Context: Time is a crucial issue in the simulation of power electronics (PE) devices, even more when these elements are integrated into microgrids.  Method: This paper deals with the deduction of the average switch model for PE devices with the purpose of reducing simulation times. For doing this, the average model is only applied over the power switches of PE devices, not being applied over the complete topology as traditionally done. The proposed average model switch permits eliminating the ripple of voltage and currents but keeping the transient of the signals. The average model switch is derived for Boost and Buck converter switches and then generalized to power inverter switches. The proposed approach is validated using OpenModelica software.  Results: A system featuring a battery, a DC/DC converter, and an inverter connected to the power grid was simulated. A comparison was performed between a simulation that considers the power switches and a simulation that uses the proposed average model switch, the time simulation was reduced up to 99.788 %, which validates the proposed approach. Conclusions: The proposed average switch model significantly reduces simulation times. This method offers a promising way to streamline power electronics device simulations, particularly in the context of microgrids and other applications where time efficiency is critical.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen  Contexto: El tiempo es un factor crucial en la simulación de dispositivos de electrónica potencia (EP), especialmente cuando estos elementos se integran en microredes.  Método: Este artículo deduce el modelo de interruptor promedio para dispositivos de EP con el propósito de reducir los tiempos de simulación. Para lograr esto, el modelo promedio se aplica únicamente a los interruptores de potencia de los dispositivos de EP, sin aplicarse a toda la topología como se hace tradicionalmente. El modelo promedio propuesto permite eliminar la oscilación de voltaje y corriente, pero conserva el comportamiento transitorio de las señales. El modelo promedio del interruptor se deriva para interruptores convertidores Boost y Buck y luego se generaliza a interruptores de inversores de potencia. El enfoque propuesto se valida utilizando el software OpenModelica.  Resultados: Se simuló un sistema que incluye una batería, un convertidor DC/DC y un inversor conectado a la red eléctrica. Se realizó una comparación entre una simulación que considera los interruptores de potencia y una simulación que utiliza el modelo promedio del interruptor propuesto, lo que redujo el tiempo de simulación hasta en un 99,788 %, validando así el modelo propuesto.  Conclusiones: El modelo de interruptor promedio propuesto reduce significativamente los tiempos de simulación. Este método ofrece una forma prometedora de agilizar las simulaciones de dispositivos de electrónica de potencia, especialmente en el contexto de microredes y otras aplicaciones donde la eficiencia en el tiempo es fundamental.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Power electronics]]></kwd>
<kwd lng="en"><![CDATA[Microgrids]]></kwd>
<kwd lng="en"><![CDATA[Average model]]></kwd>
<kwd lng="en"><![CDATA[Inverter]]></kwd>
<kwd lng="en"><![CDATA[Converter]]></kwd>
<kwd lng="es"><![CDATA[Electrónica de potencia]]></kwd>
<kwd lng="es"><![CDATA[Microrredes]]></kwd>
<kwd lng="es"><![CDATA[Modelo promedio]]></kwd>
<kwd lng="es"><![CDATA[inversor]]></kwd>
<kwd lng="es"><![CDATA[convertidor]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>[1]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Pearson]]></surname>
<given-names><![CDATA[R. R.]]></given-names>
</name>
</person-group>
<source><![CDATA[&#8220;Photovoltaic power converter modeling in Modelica,&#8221;]]></source>
<year>2017</year>
<publisher-name><![CDATA[National Distance Education University]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<label>[2]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Erickson]]></surname>
<given-names><![CDATA[R. W.]]></given-names>
</name>
<name>
<surname><![CDATA[Maksimovic]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Fundamentals of power electronics]]></source>
<year>2007</year>
<publisher-loc><![CDATA[Berlin, Germany ]]></publisher-loc>
<publisher-name><![CDATA[Springer Science &amp; Business Media]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="confpro">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Barhoumi]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Marzougui]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Slah]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[BACHA]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<source><![CDATA[&#8220;Modelling and control of floating interleaved boost converter for electric vehicle,&#8221;]]></source>
<year>2019</year>
<conf-name><![CDATA[ 2019 Int. Conf. Signal, Control Comm. (SCC)]]></conf-name>
<conf-loc> </conf-loc>
<page-range>314-9</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Surya]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Williamson]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Generalized circuit averaging technique for two-switch PWM DC-DC converters in CCM,&#8221;]]></article-title>
<source><![CDATA[Energies]]></source>
<year>2021</year>
<volume>10</volume>
<page-range>392</page-range></nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zakzouk]]></surname>
<given-names><![CDATA[N. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Khamisand]]></surname>
<given-names><![CDATA[A. K.]]></given-names>
</name>
<name>
<surname><![CDATA[Abdelsalam]]></surname>
<given-names><![CDATA[A. K.]]></given-names>
</name>
<name>
<surname><![CDATA[Williams]]></surname>
<given-names><![CDATA[B. W.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Continuous-input continuous-output current Buck-Boost DC/DC converters for renewable energy applications: Modelling and performance assessment,&#8221;]]></article-title>
<source><![CDATA[Energies]]></source>
<year>2019</year>
<volume>12</volume>
<page-range>2208</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>[6]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ali]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Khalid]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Multi-input boost converter for parallel connected renewable energy systems,&#8221;]]></article-title>
<source><![CDATA[Renew. Energy Power Qual. J]]></source>
<year>2020</year>
<volume>18</volume>
<page-range>403-8</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>[7]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chadha]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kazimierczuk]]></surname>
<given-names><![CDATA[M. K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Small-signal modeling of open-loop PWM tapped-inductor Buck DC-DC converter in CCM,&#8221;]]></article-title>
<source><![CDATA[IEEE Tran. Ind. Electronics]]></source>
<year>2021</year>
<volume>68</volume>
<numero>7</numero>
<issue>7</issue>
<page-range>5765-75</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>[8]</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kianpoor]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Yousefi]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Bayati]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Hajizadeh]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Soltani]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<source><![CDATA[&#8220;Fractional order modelling of DC-DC Boost converters,&#8221; in 2019 IEEE 28th Int. Symp. Ind. Electronics (ISIE)]]></source>
<year>2019</year>
<page-range>864-9</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>[9]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bayona]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Gelvez]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Espitia]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Design, analysis, and implementation of an equalizer circuit for the elimination of voltage imbalance in a half-bridge Boost converter with power factor correction,&#8221;]]></article-title>
<source><![CDATA[Electronics]]></source>
<year>2020</year>
<volume>9</volume>
<page-range>2171</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>[10]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Noh]]></surname>
<given-names><![CDATA[M. A. M.]]></given-names>
</name>
<name>
<surname><![CDATA[Sahid]]></surname>
<given-names><![CDATA[M. R.]]></given-names>
</name>
<name>
<surname><![CDATA[Fei]]></surname>
<given-names><![CDATA[T. K.]]></given-names>
</name>
<name>
<surname><![CDATA[Lakshmanan]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Small-signal analysis of a single-stage bridgeless boost half-bridge AC/DC converter with bidirectional switch,&#8221;]]></article-title>
<source><![CDATA[Int. J. Power Electronics and Drive Systems (IJPEDS)]]></source>
<year>2021</year>
<volume>12</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>2358-71</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>[11]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Saini]]></surname>
<given-names><![CDATA[D. K.]]></given-names>
</name>
<name>
<surname><![CDATA[Kazimierczuk]]></surname>
<given-names><![CDATA[M. K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Open-loop transfer functions of Buck-Boost converter by circuit-averaging technique,&#8221;]]></article-title>
<source><![CDATA[IET Power Electronics]]></source>
<year></year>
<volume>12</volume>
<numero>11</numero>
<issue>11</issue>
<page-range>2858-64</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>[12]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Liang]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Hu]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Yang]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[He]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Synthesis and design of the AC current controller and impedance network for the quasi-Z-source converter,&#8221;]]></article-title>
<source><![CDATA[IEEE Trans. Ind. Electronics]]></source>
<year>2018</year>
<volume>65</volume>
<numero>10</numero>
<issue>10</issue>
<page-range>8287-96</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>[13]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Tannir]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Accurate modeling of nonideal low-power PWM DC-DC converters operating in CCM and DCM using enhanced circuit-averaging techniques,&#8221;]]></article-title>
<source><![CDATA[ACM Trans, Design Autom. Electronic Syst]]></source>
<year>2016</year>
<volume>21</volume>
<page-range>1-15</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>[14]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jayachandran]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Krishnaswamy]]></surname>
<given-names><![CDATA[V.]]></given-names>
</name>
<name>
<surname><![CDATA[Lavanya]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Dhandapani]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Modelling and analysis of voltage mode controlled Luo converter,&#8221;]]></article-title>
<source><![CDATA[American J. App. Sci]]></source>
<year>2015</year>
<volume>12</volume>
<numero>10</numero>
<issue>10</issue>
<page-range>766-74</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>[15]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Schmitz]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Martins]]></surname>
<given-names><![CDATA[D. C.]]></given-names>
</name>
<name>
<surname><![CDATA[Coelho]]></surname>
<given-names><![CDATA[R. F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;A simple, accurate small-signal model of a coupled-inductor-based DC-DC converter including the leakage inductance effect,&#8221;]]></article-title>
<source><![CDATA[IEEE Trans. Circ. Syst. II: Express Briefs]]></source>
<year>2021</year>
<volume>68</volume>
<numero>7</numero>
<issue>7</issue>
<page-range>2533-7</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>[16]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Reddivari]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Jena]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Analysis of RCD snubber based non-ideal Z-source inverter using average modelling approaches,&#8221;]]></article-title>
<source><![CDATA[Int. J. Electronics]]></source>
<year>2020</year>
<volume>107</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>755-77</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>[17]</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ghizzawi]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
<name>
<surname><![CDATA[Tannir]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<source><![CDATA[&#8220;Circuit-averaged modeling of non-ideal low-power DC-AC inverters,&#8221; in 2020 IEEE Texas Power Energy Conf. (TPEC)]]></source>
<year>2020</year>
<page-range>1-6</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>[18]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Salehi]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Martinez-Garcia]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Velasco-Quesada]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[Garcia-Vilchez]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Inverter control analysis in a microgrid community based on droop control strategy,&#8221;]]></article-title>
<source><![CDATA[Renew. Energy Power Qual. J]]></source>
<year>2021</year>
<volume>19</volume>
<page-range>166-70</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>[19]</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hamida]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Fekik]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Azar]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kamal]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Ardjal]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Denoun]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[&#8220;Fuzzy logic cyclic reports modulation control for a five-Cell inverter,&#8221;]]></source>
<year></year>
</nlm-citation>
</ref>
<ref id="B20">
<label>[20]</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cho]]></surname>
<given-names><![CDATA[J.-H.]]></given-names>
</name>
<name>
<surname><![CDATA[Ku]]></surname>
<given-names><![CDATA[N.-J.]]></given-names>
</name>
<name>
<surname><![CDATA[Kim]]></surname>
<given-names><![CDATA[R.-Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Hyun]]></surname>
<given-names><![CDATA[D.-S.]]></given-names>
</name>
</person-group>
<source><![CDATA[&#8220;Small-signal modeling and control of three-phase grid-connected three-level neutral-point-clamped inverter with a LCL filter,&#8221; in 2013 IEEE Energy Conv. Cong. Expo]]></source>
<year>2013</year>
<page-range>4076-81</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>[21]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Moraes]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Reis]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Filho]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Novel time-domain average model for harmonic current prediction in photovoltaic and wind power units,&#8221;]]></article-title>
<source><![CDATA[Int. Trans. Electrical Energy Syst.]]></source>
<year>2021</year>
<volume>31</volume>
</nlm-citation>
</ref>
<ref id="B22">
<label>[22]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Itkonen]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Luukko]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Sankala]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Laakkonen]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Pollanen]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[&#8220;Modeling and análisis of the dead-time effects in parallel PWM two-level three-phase voltage-source inverters,&#8221;]]></article-title>
<source><![CDATA[IEEE Trans. Power Electronics]]></source>
<year>2009</year>
<volume>24</volume>
<numero>11</numero>
<issue>11</issue>
<page-range>2446-55</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
