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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Chem. Eng.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Chemical Engineering</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Chem. Eng.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2673-2718</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1648187</article-id>
<article-id pub-id-type="doi">10.3389/fceng.2025.1648187</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Valorization of agricultural waste biomass via solar-driven gasification in regions with high solar resources: the case of Mexico</article-title>
<alt-title alt-title-type="left-running-head">Maytorena-Soria et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fceng.2025.1648187">10.3389/fceng.2025.1648187</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Maytorena-Soria</surname>
<given-names>Victor Manuel</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="conceptualization" vocab-term-identifier="https://credit.niso.org/contributor-roles/conceptualization/">Conceptualization</role>
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</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Buentello-Montoya</surname>
<given-names>David Antonio</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/3102607/"/>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Aldana</surname>
<given-names>Hugo</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<aff id="aff1">
<label>1</label>
<institution>Departamento de Ingenier&#xed;a Qu&#xed;mica y Metalurgia, Universidad de Sonora</institution>, <city>Hermosillo</city>, <country country="MX">Mexico</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>Tecnologico de Monterrey, Escuela de Ingenieria y Ciencias</institution>, <city>Jalisco</city>, <country country="MX">Mexico</country>
</aff>
<aff id="aff3">
<label>3</label>
<institution>Tecnologico de Monterrey, Escuela de Ingenieria y Ciencias</institution>, <city>Nuevo Leon</city>, <country country="MX">Mexico</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: David Antonio Buentello-Montoya, <email xlink:href="david.buentello@tec.mx">david.buentello@tec.mx</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-12-01">
<day>01</day>
<month>12</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>7</volume>
<elocation-id>1648187</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>17</day>
<month>10</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>31</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Maytorena-Soria, Buentello-Montoya and Aldana.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Maytorena-Soria, Buentello-Montoya and Aldana</copyright-holder>
<license>
<ali:license_ref start_date="2025-12-01">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>Gasification is a technology that can produce high-value fuels and chemicals from waste biomass, with challenges mainly associated to energy required and scaling up. At the same time, solar-driven gasification can tackle the problems associated to the energy required by allothermal systems, but its feasibility requires not only technological maturation, but also a strategic location. This work analyses the potential of solar gasification in Mexico using thermodynamic simulations, based on the Gibb&#x2019;s Free Energy method, and geographical and demographic information. Results indicate that states with large waste biomass production (e.g., Sinaloa and Veracruz) are better suited for solar gasification than states with a large direct normal irradiance (e.g., Sonora), particularly when based on the H<sub>2</sub>/CO ratio of the syngas. An index (Per capita Energy Self-sufficiency Index, PESI) was defined to establish a metric for the potential of different states for solar gasification, and it was found that several states (for example, Sinaloa with 480% and Sonora with 245%) can produce more energy from solar gasification than their <italic>per capita</italic> consumption.</p>
</abstract>
<kwd-group>
<kwd>solar gasification</kwd>
<kwd>biomass gasification</kwd>
<kwd>thermodynamic modelling</kwd>
<kwd>bioenergy</kwd>
<kwd>bioenergy in Mexico</kwd>
</kwd-group>
<funding-group>
<funding-statement>The authors declare that financial support was received for the research and/or publication of this article. This work was supported by the Instituto Tecnol&#xf3;gico y de Estudios Superiores de Monterrey through the Publications Support Fund (FAP, by its initials in Spanish).</funding-statement>
</funding-group>
<counts>
<fig-count count="10"/>
<table-count count="7"/>
<equation-count count="36"/>
<ref-count count="69"/>
<page-count count="21"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Sustainable Process Engineering</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>Gasification is a technology where feedstock (such as coal, biomass or plastic) is decomposed under a controlled oxidation atmosphere (usually air or steam) to produce a mixture of gases, composed of H<sub>2</sub>, CO, CH<sub>4</sub> and CO<sub>2</sub>, called syngas (<xref ref-type="bibr" rid="B8">Buentello-Montoya et al., 2023a</xref>). The decomposition of biomass during gasification is endothermic, that is, requires a source of energy to drive the reactions. Depending on the oxidizing atmosphere, gasification can be autothermal (with oxygen or even air), where the energy released during the combustion stage can drive the process, or allothermal (with steam or CO<sub>2</sub>), which requires an external source of energy. Although syngas from steam gasification usually has better quality than air-produced syngas, steam gasification is limited by the energy required for steam production (<xref ref-type="bibr" rid="B49">Mousavi Rabeti et al., 2023</xref>; <xref ref-type="bibr" rid="B52">Nathan et al., 2017</xref>; <xref ref-type="bibr" rid="B21">Freda et al., 2022</xref>). However, even with its limitations, gasification remains an attractive technology due to the versatility of syngas, since it has different applications (<xref ref-type="bibr" rid="B61">Rafati et al., 2017</xref>).</p>
<p>At the same time, solar energy is basically limitless and could supply more than enough power to satisfy society&#x2019;s needs (<xref ref-type="bibr" rid="B43">Maytorena and Buentello-Montoya, 2022</xref>). Concentrated solar power (CSP) uses irradiation coming from the sun to harness heat, which can be used for heat or electricity production (<xref ref-type="bibr" rid="B43">Maytorena and Buentello-Montoya, 2022</xref>); CSP technologies vary in applications, approaches and scales, depending on the purpose. Examples of CSP technologies are heliostat fields, dish Stirling and parabolic trough collectors (PTCs) (<xref ref-type="bibr" rid="B41">Loutzenhiser and Muroyama, 2017</xref>). CSP can be coupled with thermochemical biomass treatments like gasification (in what is called solar gasification) to tackle restrictive energy consumption. In solar gasification, radiation is harnessed directly by the feedstock (in direct heating processes) or by a heat transfer fluid (in indirect heating processes) (<xref ref-type="bibr" rid="B52">Nathan et al., 2017</xref>; <xref ref-type="bibr" rid="B41">Loutzenhiser and Muroyama, 2017</xref>; <xref ref-type="bibr" rid="B44">Maytorena and Buentello-Montoya, 2024</xref>; <xref ref-type="bibr" rid="B1">Abanades et al., 2021</xref>). Compared to conventional allothermal gasification, solar gasification is supplied of heat through concentrated solar power increasing the process cold gas efficiency and reducing the carbon footprint (<xref ref-type="bibr" rid="B71">Wieckert et al., 2013</xref>). However, when compared to other biomass conversion technologies such as pyrolysis or anaerobic digestion, solar gasification faces challenges in scalability, reactor design, the intermittency of solar energy and the resistance of the reactor materials. Pyrolysis and anaerobic digestion, for example, are commercially mature and easier to implement at small scales, but they typically yield lower-value products (for example, biogas with a relatively low energy density, in the case of anaerobic digestion (<xref ref-type="bibr" rid="B57">Pecchi and Baratieri, 2019</xref>)), require large energy inputs or extensive upgrading (<xref ref-type="bibr" rid="B44">Maytorena and Buentello-Montoya, 2024</xref>). Solar gasification offers the advantage of producing hydrogen-rich syngas with a reduced fossil energy footprint, but its technological maturity remains limited to pilot-scale demonstrations and can be circumstantial based on the availability of resources, leading to extensive research to increase the technology readiness level. Some experimental studies on solar gasification have been conducted worldwide, focusing on steam as the gasifying agent, followed by CO<sub>2</sub> and, to a lesser extent, air or oxygen, as found in <xref ref-type="table" rid="T1">Table 1</xref>, where a summary of recent studies found in Scopus-indexed databases is included.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Summary of experimental solar gasification studies reported between 2015 and 2025.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Gasification agent</th>
<th align="left">Temperature range/power</th>
<th align="left">Notes</th>
<th align="left">Ref.</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Steam and oxygen</td>
<td align="left">&#x3e;900&#xa0;&#xb0;C</td>
<td align="left">Experimental molten salt solar gasifier</td>
<td align="left">
<xref ref-type="bibr" rid="B27">Hathaway and Davidson (2021)</xref>
</td>
</tr>
<tr>
<td align="left">Steam</td>
<td align="left">150 kW<sub>th</sub>
</td>
<td align="left">Fixed bed reactor, temperatures &#x3e;1,200&#xa0;&#xb0;C</td>
<td align="left">
<xref ref-type="bibr" rid="B71">Wieckert et al. (2013)</xref>
</td>
</tr>
<tr>
<td align="left">Steam</td>
<td align="left">3 kW<sub>th</sub>
</td>
<td align="left">Residence time &#x3c;5&#xa0;s</td>
<td align="left">
<xref ref-type="bibr" rid="B50">M&#xfc;ller et al. (2017)</xref>
</td>
</tr>
<tr>
<td align="left">Steam</td>
<td align="left">1 kW<sub>th</sub>
</td>
<td align="left">Hybrid solar/autothermal gasifier</td>
<td align="left">
<xref ref-type="bibr" rid="B51">Muroyama et al. (2018)</xref>
</td>
</tr>
<tr>
<td align="left">Steam</td>
<td align="left">700/1200W<sub>th</sub>
</td>
<td align="left">Hybrid solar/autothermal gasifier, directly or indirectly heated</td>
<td align="left">
<xref ref-type="bibr" rid="B12">Curcio et al. (2021)</xref>
</td>
</tr>
<tr>
<td align="left">Steam</td>
<td align="left">150 kW<sub>th</sub>
</td>
<td align="left">Concentrated solar power tower</td>
<td align="left">
<xref ref-type="bibr" rid="B71">Wieckert et al. (2013)</xref>
</td>
</tr>
<tr>
<td align="left">Steam</td>
<td align="left">7 kW<sub>e</sub>
</td>
<td align="left">Biomasses with normally high moisture</td>
<td align="left">
<xref ref-type="bibr" rid="B4">Arribas et al. (2017)</xref>
</td>
</tr>
<tr>
<td align="left">Steam</td>
<td align="left">1.5 kW<sub>th</sub>
</td>
<td align="left">Conical spouted bed reactor</td>
<td align="left">
<xref ref-type="bibr" rid="B5">Boujjat et al. (2020)</xref>
</td>
</tr>
<tr>
<td align="left">Steam</td>
<td align="left">2.2&#xa0;kW</td>
<td align="left">Indirectly heated fluidized bed for hydrogen production</td>
<td align="left">
<xref ref-type="bibr" rid="B37">Li et al. (2020)</xref>
</td>
</tr>
<tr>
<td align="left">CO<sub>2</sub>
</td>
<td align="left">7.7&#xa0;kW</td>
<td align="left">Indirectly heated fluidized bed</td>
<td align="left">
<xref ref-type="bibr" rid="B38">Li et al. (2021)</xref>
</td>
</tr>
<tr>
<td align="left">CO<sub>2</sub>
</td>
<td align="left">2.2 kW<sub>th</sub>
</td>
<td align="left">Molten salt gasifier</td>
<td align="left">
<xref ref-type="bibr" rid="B26">Hathaway and Davidson (2017)</xref>
</td>
</tr>
<tr>
<td align="left">CO<sub>2</sub>
</td>
<td align="left">&#x3e;1,000&#xa0;&#xb0;C</td>
<td align="left">Coal and coke gasification</td>
<td align="left">
<xref ref-type="bibr" rid="B32">Kodama et al. (2010)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Although solar power can be relatively reliable in every location worldwide, the climatological characteristics favor some geographical locations (<xref ref-type="bibr" rid="B24">Global Solar Atlas, 2020</xref>). A particular case is Mexico, where based in the Global Solar Atlas, the World Bank has reported that around 0.1% of the total area is enough to produce enough energy to satisfy its needs (<xref ref-type="bibr" rid="B24">Global Solar Atlas, 2020</xref>; <xref ref-type="bibr" rid="B72">World Bank, 2020</xref>). Moreover, Mexico generates more than 30,000 Mtons of organic waste per year, which can serve as a decentralized feedstock for energy production from gasification, tackling constraints associated to resource availability (<xref ref-type="bibr" rid="B48">Molina-Guerrero et al., 2020</xref>; <xref ref-type="bibr" rid="B2">Aldana et al., 2014</xref>).</p>
<p>This work addresses research gaps by presenting a nationwide assessment of the geographic potential of solar-driven gasification in Mexico, moving beyond reactor-scale demonstrations to whole region analysis based on a simulation model. Since the hydrodynamics and transport phenomena associated with gasification can be heavily dependent on the biomass physical properties, a complete Computational Fluid Dynamics study considering different biomasses with variable composition across a whole country is prohibitively complicated. Similarly, kinetic studies usually consider biomass &#x201c;lumps&#x201d; or model compounds, hence, results can become complicated to relate with varying and diverse biomass composition. Therefore, thermodynamic equilibrium modeling is combined with information on state-level biomass availability and solar resource data to identify regions in Mexico where solar gasification could provide meaningful energy contributions or support alternatives such as hydrogen-based chemical production. For the analysis, calculations were conducted using thermodynamic simulations based on an in-house-developed Python code. The reported information can be relevant for engineers, scientists and stakeholders in different countries with similar scenarios. The integrated approach presents the potential relevance of combined CSP and waste-to-energy technologies in countries with both high solar resources and significant agricultural waste streams.</p>
<p>To provide an insight into the potential of solar gasification when compared to the autothermal technology using air (that is, non-solar), results are presented under the same conditions considering (<xref ref-type="bibr" rid="B8">Buentello-Montoya et al., 2023a</xref>) air and (<xref ref-type="bibr" rid="B49">Mousavi Rabeti et al., 2023</xref>) steam as gasification agents. The structure of the work is as follows. After the introduction, the methodology is conferred, starting with a description of the model employed in the simulations, followed by the methodologies used to assess the performance of gasification and information on the input used on each state. The following section presents and discusses the results. In the results and discussion section, firstly, autothermal (non-solar) and allothermal gasification with steam are compared in terms of the heating value of the produced gas and process efficiency. Afterwards, results are presented by state where the potential of solar gasification is assessed based on aspects such as the solar energy received by the state and the average agricultural waste biomass composition, among others. Finally, the manuscript closes by presenting a summary and a series of conclusions from the findings.</p>
</sec>
<sec sec-type="methods" id="s2">
<label>2</label>
<title>Methodology</title>
<sec id="s2-1">
<label>2.1</label>
<title>Description of the thermodynamic model</title>
<p>The model employed in the simulations is a thermodynamic equilibrium model which follows the Gibb&#x2019;s free energy minimization method as found in <xref ref-type="disp-formula" rid="e1">Equation 1</xref> (<xref ref-type="bibr" rid="B58">Privat et al., 2016</xref>):<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>G</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>min</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>&#x2211;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:msubsup>
<mml:mi>g</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>0</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>G</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the change in Gibbs&#x2019; free energy, <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the moles of species <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msubsup>
<mml:mi>g</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>0</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the molar Gibbs&#x2019; free energy of species <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The model is based on in-house developed Python code that simulates equilibrium, assuming an infinitely long residence time (suitable for downdraft and some fluidized bed gasifiers), constant temperature and pressure (<xref ref-type="bibr" rid="B1">Abanades et al., 2021</xref>). In every simulation, the material and energy balances were solved to ensure accuracy, whereas transport phenomena were ignored. The model was validated against experimental data reported in literature; the feedstock composition, gasification agent and gasification temperature were replicated, and the simulation results were compared with the reported syngas composition in each case (<xref ref-type="bibr" rid="B11">Cho et al., 2014</xref>; <xref ref-type="bibr" rid="B23">Gai and Dong, 2012</xref>; <xref ref-type="bibr" rid="B29">Jayah et al., 2003</xref>; <xref ref-type="bibr" rid="B33">Kramb et al., 2014</xref>; <xref ref-type="bibr" rid="B69">Tuomi et al., 2015</xref>; <xref ref-type="bibr" rid="B73">Xiao et al., 2007</xref>; <xref ref-type="bibr" rid="B19">Fazil et al., 2022</xref>; <xref ref-type="bibr" rid="B39">Loha et al., 2011</xref>; <xref ref-type="bibr" rid="B16">Duan et al., 2014</xref>; <xref ref-type="bibr" rid="B63">Samani et al., 2024</xref>). The Root Mean Square Error (RMSE) was calculated by species and used as an indicator of the accuracy of the model. The RMSE was calculated with <xref ref-type="disp-formula" rid="e2">Equation 2</xref>:<disp-formula id="e2">
<mml:math id="m7">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msqrt>
<mml:msup>
<mml:mrow>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:msqrt>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf6">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the mole flow of species <inline-formula id="inf7">
<mml:math id="m9">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> obtained from the simulations, <inline-formula id="inf8">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>X</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the mole flow of species <inline-formula id="inf9">
<mml:math id="m11">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> reported in literature and <inline-formula id="inf10">
<mml:math id="m12">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the number of replicated experiments for a given species.</p>
<p>The average RMSE by species is presented in <xref ref-type="table" rid="T2">Table 2</xref> (which serves to determine which species has the largest error), while <xref ref-type="table" rid="T3">Table 3</xref> presents details on the simulated literature. The global average RMSE value is less than 5%, which indicates agreement and accuracy of the model when compared with similar models with MAEs ranging from less than 5% to more than 10% (<xref ref-type="bibr" rid="B59">Puig-Arnavat et al., 2010</xref>).</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Overall Mean Absolute Error, calculated from results from the simulations and the experiments.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Species</th>
<th align="center">RMSE</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">H<sub>2</sub>
</td>
<td align="center">0.643</td>
</tr>
<tr>
<td align="center">CO</td>
<td align="center">0.449</td>
</tr>
<tr>
<td align="center">CO<sub>2</sub>
</td>
<td align="center">0.563</td>
</tr>
<tr>
<td align="center">CH<sub>4</sub>
</td>
<td align="center">0.245</td>
</tr>
<tr>
<td align="center">Average</td>
<td align="center">0.475</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Details on the literature simulated to validate the model, the reported syngas composition and the simulations retults.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Ref.</th>
<th rowspan="2" align="center">Gas</th>
<th colspan="4" align="center">Feedstock composition (weight %)</th>
<th colspan="4" align="center">Literature syngas composition (weight %)</th>
<th colspan="4" align="center">Simulation syngas composition (weight %)</th>
</tr>
<tr>
<th align="center">C</th>
<th align="center">H</th>
<th align="center">O</th>
<th align="center">N</th>
<th align="center">H<sub>2</sub>
</th>
<th align="center">CO</th>
<th align="center">CO<sub>2</sub>
</th>
<th align="center">CH<sub>4</sub>
</th>
<th align="center">H<sub>2</sub>
</th>
<th align="center">CO</th>
<th align="center">CO<sub>2</sub>
</th>
<th align="center">CH<sub>4</sub>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<xref ref-type="bibr" rid="B69">Tuomi et al. (2015)</xref>
</td>
<td align="center">Air</td>
<td align="center">53.2</td>
<td align="center">5.5</td>
<td align="center">37.1</td>
<td align="center">0.3</td>
<td align="center">20.2</td>
<td align="center">16.1</td>
<td align="center">15.9</td>
<td align="center">3.8</td>
<td align="center">18.69</td>
<td align="center">18.98</td>
<td align="center">16.66</td>
<td align="center">5.63</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B23">Gai and Dong (2012)</xref>
</td>
<td align="center">Air</td>
<td align="center">43.83</td>
<td align="center">5.95</td>
<td align="center">45.01</td>
<td align="center">0.97</td>
<td align="center">6.91</td>
<td align="center">11.35</td>
<td align="center">20.37</td>
<td align="center">1.84</td>
<td align="center">9.89</td>
<td align="center">14.73</td>
<td align="center">21.47</td>
<td align="center">5.41</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B73">Xiao et al. (2007)</xref>
</td>
<td align="center">Air</td>
<td align="center">86.42</td>
<td align="center">12.28</td>
<td align="center">0</td>
<td align="center">0.72</td>
<td align="center">5</td>
<td align="center">22</td>
<td align="center">11</td>
<td align="center">4.7</td>
<td align="center">7.71</td>
<td align="center">25.14</td>
<td align="center">18.51</td>
<td align="center">6.14</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B11">Cho et al. (2014)</xref>
</td>
<td align="center">Air</td>
<td align="center">80.8</td>
<td align="center">12.8</td>
<td align="center">5.10</td>
<td align="center">0.20</td>
<td align="center">26.69</td>
<td align="center">7.27</td>
<td align="center">8.72</td>
<td align="center">6.39</td>
<td align="center">23.55</td>
<td align="center">15.51</td>
<td align="center">15.33</td>
<td align="center">6.03</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B19">Fazil et al. (2022)</xref>
</td>
<td align="center">Air</td>
<td align="center">42.38</td>
<td align="center">5.24</td>
<td align="center">35.41</td>
<td align="center">1.78</td>
<td align="center">10.76</td>
<td align="center">14.79</td>
<td align="center">18.11</td>
<td align="center">1.35</td>
<td align="center">9.49</td>
<td align="center">18.18</td>
<td align="center">21.19</td>
<td align="center">4.58</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B19">Fazil et al. (2022)</xref>
</td>
<td align="center">Air</td>
<td align="center">85.32</td>
<td align="center">14.68</td>
<td align="center">0</td>
<td align="center">0</td>
<td align="center">13.53</td>
<td align="center">19.54</td>
<td align="center">2.18</td>
<td align="center">11.49</td>
<td align="center">15.87</td>
<td align="center">24.98</td>
<td align="center">17.41</td>
<td align="center">6.63</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B16">Duan et al. (2014)</xref>
</td>
<td align="center">Steam</td>
<td align="center">64.53</td>
<td align="center">3.75</td>
<td align="center">7.00</td>
<td align="center">0.96</td>
<td align="center">59.8</td>
<td align="center">25.4</td>
<td align="center">14.7</td>
<td align="center">0.1</td>
<td align="center">40.58</td>
<td align="center">30.12</td>
<td align="center">13.43</td>
<td align="center">3.57</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B36">Li et al. (2019)</xref>
</td>
<td align="center">Steam</td>
<td align="center">41.61</td>
<td align="center">5.45</td>
<td align="center">50.70</td>
<td align="center">1.64</td>
<td align="center">33.27</td>
<td align="center">34.97</td>
<td align="center">24.7</td>
<td align="center">7.06</td>
<td align="center">26.64</td>
<td align="center">35.31</td>
<td align="center">23.22</td>
<td align="center">5.19</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B36">Li et al. (2019)</xref>
</td>
<td align="center">Steam</td>
<td align="center">41.67</td>
<td align="center">5.42</td>
<td align="center">52.33</td>
<td align="center">0.03</td>
<td align="center">38.42</td>
<td align="center">36.1</td>
<td align="center">19.3</td>
<td align="center">6.18</td>
<td align="center">29.08</td>
<td align="center">36.98</td>
<td align="center">18.98</td>
<td align="center">4.57</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B36">Li et al. (2019)</xref>
</td>
<td align="center">Steam</td>
<td align="center">48.93</td>
<td align="center">6.22</td>
<td align="center">42.16</td>
<td align="center">0.92</td>
<td align="center">39.1</td>
<td align="center">43.14</td>
<td align="center">11.3</td>
<td align="center">6.46</td>
<td align="center">29.88</td>
<td align="center">36.55</td>
<td align="center">25.66</td>
<td align="center">6.17</td>
</tr>
<tr>
<td align="center">
<xref ref-type="bibr" rid="B63">Samani et al. (2024)</xref>
</td>
<td align="center">O<sub>2</sub>/Steam</td>
<td align="center">54.8</td>
<td align="center">6.3</td>
<td align="center">37.69</td>
<td align="center">0.78</td>
<td align="center">41.5</td>
<td align="center">29.5</td>
<td align="center">26.3</td>
<td align="center">2.7</td>
<td align="center">33.66</td>
<td align="center">28.14</td>
<td align="center">19.09</td>
<td align="center">5.43</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<label>2.2</label>
<title>Material balance</title>
<p>The mass balances were solved at the gasification temperatures and considering the feedstock biomass compositions, to fulfill the minimization of the Gibbs&#x2019; free energy (<xref ref-type="bibr" rid="B58">Privat et al., 2016</xref>). While gasification involves a number of reactions and stages (for example, drying, devolatilization, pyrolysis and reduction (<xref ref-type="bibr" rid="B44">Maytorena and Buentello-Montoya, 2024</xref>)), Gibb&#x2019;s free energy based models do not include full kinetics and instead use a single global reaction that accounts for all of the semi reactions, and provide accurate results for gasifiers with long residence times (such as downdraft and fluidized bed gasifier) (<xref ref-type="bibr" rid="B58">Privat et al., 2016</xref>).</p>
<p>The mass balance (<xref ref-type="disp-formula" rid="e3">Equation 3</xref>) involved solving the global reaction and finding the components fraction at the minimum Gibb&#x2019;s free energy, considering H<sub>2</sub>, CO, CO<sub>2</sub>, CH<sub>4</sub>, H2O and a tar (C<sub>6</sub>H<sub>6</sub>) as the possible products:<disp-formula id="e3">
<mml:math id="m13">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>&#x3b1;</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mi>&#x3b2;</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b3;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3.76</mml:mn>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b4;</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msub>
<mml:mo>&#x27f6;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>5</mml:mn>
</mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3.76</mml:mn>
<mml:mi>&#x3b3;</mml:mi>
<mml:msub>
<mml:mi>N</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf11">
<mml:math id="m14">
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf12">
<mml:math id="m15">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> are normalized values based on the biomass ultimate analysis (and considering the subindex of carbon as 1), <inline-formula id="inf13">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the mass fraction of the <inline-formula id="inf14">
<mml:math id="m17">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> species in the product, <inline-formula id="inf15">
<mml:math id="m18">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the normalized injected air mass fraction and <inline-formula id="inf16">
<mml:math id="m19">
<mml:mrow>
<mml:mi>&#x3b4;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the normalized injected steam mass fraction. In order to solve the global reaction, mass balance equations for carbon, hydrogen and oxygen were established, in addition to three equilibrium equations for the Water-Gas Shift (WGS) (<xref ref-type="disp-formula" rid="e4">Equation 4</xref>), methanation (<xref ref-type="disp-formula" rid="e5">Equation 5</xref>) and carbon gasification (<xref ref-type="disp-formula" rid="e6">Equation 6</xref>):<disp-formula id="e4">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mo>&#x21c4;</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<disp-formula id="e5">
<mml:math id="m21">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x21c4;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m22">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
<mml:mo>&#x21c4;</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>The air mass was established as a function of the equivalence ratio, <inline-formula id="inf17">
<mml:math id="m23">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, calculated with <xref ref-type="disp-formula" rid="e7">Equation 7</xref>:<disp-formula id="e7">
<mml:math id="m24">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>E</mml:mi>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>8</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
<p>The steam mass was calculated with <xref ref-type="disp-formula" rid="e8">Equation 8</xref> from the steam-to-biomass ratio (SBR):<disp-formula id="e8">
<mml:math id="m25">
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>B</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf18">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the mole flows of the species <inline-formula id="inf19">
<mml:math id="m27">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>
<inline-formula id="inf20">
<mml:math id="m28">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> was assumed as <inline-formula id="inf21">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (benzene) and subsequently decomposed into <inline-formula id="inf22">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (toluene) and <inline-formula id="inf23">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (naphthalene) following the mechanism proposed in literature and involving <xref ref-type="disp-formula" rid="e9">Equations 9</xref>&#x2013;<xref ref-type="disp-formula" rid="e15">15</xref> (<xref ref-type="bibr" rid="B30">Jess, 1996</xref>; <xref ref-type="bibr" rid="B54">Norinaga et al., 2014</xref>; <xref ref-type="bibr" rid="B22">Frenklach, 2002</xref>):<disp-formula id="e9">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x21c4;</mml:mo>
<mml:mn>3</mml:mn>
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3</mml:mn>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>&#x2a;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
<disp-formula id="e10">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x21c4;</mml:mo>
<mml:mn>3</mml:mn>
<mml:msubsup>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
<disp-formula id="e11">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x21c4;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>H</mml:mi>
<mml:mn>5</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2a;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
<disp-formula id="e12">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x27f6;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>7</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
<disp-formula id="e13">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>H</mml:mi>
<mml:mn>5</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x27f6;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>H</mml:mi>
<mml:mn>7</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2a;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
<disp-formula id="e14">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>H</mml:mi>
<mml:mn>7</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x27f6;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>H</mml:mi>
<mml:mn>9</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(14)</label>
</disp-formula>
<disp-formula id="e15">
<mml:math id="m38">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi>H</mml:mi>
<mml:mn>9</mml:mn>
<mml:mo>&#x2a;</mml:mo>
</mml:msubsup>
<mml:mo>&#x27f6;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>10</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>8</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi>H</mml:mi>
<mml:mo>&#x2a;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(15)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-3">
<label>2.3</label>
<title>Energy balance</title>
<p>A parabolic trough collector was assumed as the employed technology to harness the solar radiation and fuel the reactions in each case, with a solar receiver Concentration Ratio (<inline-formula id="inf24">
<mml:math id="m39">
<mml:mrow>
<mml:mfenced open="" close=")" separators="|">
<mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula> of 100 (<xref ref-type="bibr" rid="B62">Sajjadnejad et al., 2020</xref>). The heat that was absorbed by the heat transfer fluid (HTF) was calculated with <xref ref-type="disp-formula" rid="e16">Equation 16</xref>:<disp-formula id="e16">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#xb7;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mi>N</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
<label>(16)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf25">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the energy collected by the solar receiver and transferred to the HTF, <inline-formula id="inf26">
<mml:math id="m42">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>N</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is Direct Normal Irradiation and <inline-formula id="inf27">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>c</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the solar collector efficiency. <xref ref-type="fig" rid="F1">Figure 1</xref> portrays a schematic of the simulated system. DNI is captured by PTCs and transferred to the HTF. The hot HTF is then used to heat the gasifying agent (air or steam), which is then used for gasification inside the reactor, producing the syngas stream.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Schematic of the solar gasification reactor system emulated during the simulations. Heat is collected using Parabolic Trough Collectors and used to heat a heat transfer fluid, which is then used to generate steam for gasification.</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g001.tif">
<alt-text content-type="machine-generated">Diagram of a solar-assisted gasification system for agricultural residues. Solar radiation heats the parabolic trough collectors, transferring heat to a heat transfer fluid (HTF). This HTF heats the gasification agent, which mixes with steam to convert residues into syngas. The process includes drying, pyrolysis, oxidation, and reduction phases, and generates syngas and ashes as outputs.</alt-text>
</graphic>
</fig>
<p>It was assumed that the receiver has a constant efficiency of 80% (<xref ref-type="bibr" rid="B43">Maytorena and Buentello-Montoya, 2022</xref>). The <inline-formula id="inf28">
<mml:math id="m44">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>N</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> for every state were extracted from the Global Solar Atlas (<xref ref-type="bibr" rid="B24">Global Solar Atlas, 2020</xref>); the average daily flux for the different states, and the maximum theoretical temperature that can be reached by a black body with 100% efficiency under the studied conditions is portrayed in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Average direct normal irradiation received per day by the states of Mexico (<xref ref-type="bibr" rid="B24">Global Solar Atlas, 2020</xref>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">&#x23;</th>
<th align="center">State</th>
<th align="center">Daily average DNI, kWh/m<sup>2</sup>
</th>
<th align="center">Maximum theoretical temperature, &#xb0;C</th>
<th align="center">&#x23;</th>
<th align="center">State</th>
<th align="center">Daily average DNI, kWh/m<sup>2</sup>
</th>
<th align="center">Maximum theoretical temperature, &#xb0;C</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">Aguascalientes</td>
<td align="center">6.89</td>
<td align="center">704</td>
<td align="center">14</td>
<td align="center">Oaxaca</td>
<td align="center">6.46</td>
<td align="center">670</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">Chihuahua</td>
<td align="center">7.54</td>
<td align="center">757</td>
<td align="center">15</td>
<td align="center">Puebla</td>
<td align="center">6.53</td>
<td align="center">675</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">Ciudad de M&#xe9;xico</td>
<td align="center">5.62</td>
<td align="center">600</td>
<td align="center">16</td>
<td align="center">Quer&#xe9;taro</td>
<td align="center">6.44</td>
<td align="center">667</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">Durango</td>
<td align="center">7.40</td>
<td align="center">745</td>
<td align="center">17</td>
<td align="center">Quintana Roo</td>
<td align="center">5.14</td>
<td align="center">559</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">Guanajuato</td>
<td align="center">6.54</td>
<td align="center">676</td>
<td align="center">18</td>
<td align="center">San Luis Potos&#xed;</td>
<td align="center">6.64</td>
<td align="center">684</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">Guerrero</td>
<td align="center">5.65</td>
<td align="center">602</td>
<td align="center">19</td>
<td align="center">Sinaloa</td>
<td align="center">6.28</td>
<td align="center">654</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">Hidalgo</td>
<td align="center">5.70</td>
<td align="center">606</td>
<td align="center">20</td>
<td align="center">Sonora</td>
<td align="center">7.49</td>
<td align="center">752</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">Jalisco</td>
<td align="center">6.31</td>
<td align="center">657</td>
<td align="center">21</td>
<td align="center">Tabasco</td>
<td align="center">4.48</td>
<td align="center">502</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">M&#xe9;xico</td>
<td align="center">5.72</td>
<td align="center">608</td>
<td align="center">22</td>
<td align="center">Tamaulipas</td>
<td align="center">5.41</td>
<td align="center">582</td>
</tr>
<tr>
<td align="center">10</td>
<td align="center">Michoac&#xe1;n</td>
<td align="center">5.67</td>
<td align="center">604</td>
<td align="center">23</td>
<td align="center">Tlaxcala</td>
<td align="center">6.36</td>
<td align="center">661</td>
</tr>
<tr>
<td align="center">11</td>
<td align="center">Morelos</td>
<td align="center">5.87</td>
<td align="center">621</td>
<td align="center">24</td>
<td align="center">Veracruz</td>
<td align="center">4.37</td>
<td align="center">573</td>
</tr>
<tr>
<td align="center">12</td>
<td align="center">Nayarit</td>
<td align="center">6.17</td>
<td align="center">646</td>
<td align="center">25</td>
<td align="center">Yucat&#xe1;n</td>
<td align="center">5.30</td>
<td align="center">711</td>
</tr>
<tr>
<td align="center">13</td>
<td align="center">Nuevo Le&#xf3;n</td>
<td align="center">5.26</td>
<td align="center">570</td>
<td align="center">26</td>
<td align="center">Zacatecas</td>
<td align="center">6.99</td>
<td align="center">573</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Since the used model assumes thermodynamic equilibrium, the achievable temperature by the HTF was calculated following <xref ref-type="disp-formula" rid="e17">Equation 17</xref> (Stefan-Boltzmann&#x2019;s law):<disp-formula id="e17">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3b5;</mml:mi>
<mml:mi>&#x3c3;</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msubsup>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msubsup>
<mml:mo>&#x2212;</mml:mo>
<mml:msubsup>
<mml:mi>T</mml:mi>
<mml:mn>0</mml:mn>
<mml:mn>4</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(17)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf29">
<mml:math id="m46">
<mml:mrow>
<mml:mi>&#x3b5;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the collector&#x2019;s emissivity, <inline-formula id="inf30">
<mml:math id="m47">
<mml:mrow>
<mml:mi>&#x3c3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the Stefan-Boltzmann constant and <inline-formula id="inf31">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf32">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the ambient and HTF temperatures, respectively.</p>
<p>The temperature achievable by the reactants inside the gasifier was calculated with <xref ref-type="disp-formula" rid="e18">Equation 18</xref>:<disp-formula id="e18">
<mml:math id="m50">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfrac>
<mml:msub>
<mml:mi>Q</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mo>&#x2211;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(18)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf33">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mrow>
<mml:mi>H</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the heat exchanger efficiency and <inline-formula id="inf34">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf35">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the specific heat and masses of species <inline-formula id="inf36">
<mml:math id="m54">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
<p>The enthalpy of reaction was calculated with <xref ref-type="disp-formula" rid="e19">Equation 19</xref>:<disp-formula id="e19">
<mml:math id="m55">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2211;</mml:mo>
<mml:msub>
<mml:mi>y</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
<mml:mo>&#x394;</mml:mo>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>0</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
<label>(19)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf37">
<mml:math id="m56">
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:msubsup>
<mml:mi>h</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>0</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the enthalpy of formation of species <inline-formula id="inf38">
<mml:math id="m57">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. The heat of formation (<inline-formula id="inf39">
<mml:math id="m58">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mn>0</mml:mn>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>) and Lower Heating Value of the fed waste biomass (<inline-formula id="inf40">
<mml:math id="m59">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, in MJ/kg) were calculated with <xref ref-type="disp-formula" rid="e20">Equations 20</xref>, <xref ref-type="disp-formula" rid="e21">21</xref>:<disp-formula id="e20">
<mml:math id="m60">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
<mml:mn>0</mml:mn>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mn>0</mml:mn>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:msubsup>
<mml:mrow>
<mml:mo>&#x394;</mml:mo>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mn>0</mml:mn>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>12</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>16</mml:mn>
<mml:mi>&#x3b2;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(20)</label>
</disp-formula>
<disp-formula id="e21">
<mml:math id="m61">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>34.835</mml:mn>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>93.87</mml:mn>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>H</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>10.8</mml:mn>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>O</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>6.28</mml:mn>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>N</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>10.465</mml:mn>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>S</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(21)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf41">
<mml:math id="m62">
<mml:mrow>
<mml:msub>
<mml:mi>w</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the mass fraction of species <inline-formula id="inf42">
<mml:math id="m63">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, from the ultimate analysis of the processed biomass.</p>
</sec>
<sec id="s2-4">
<label>2.4</label>
<title>Gasification efficiency assessment</title>
<p>To assess the gasification process, different parameters were employed; a commonly used index is the Cold Gas Efficiency (<inline-formula id="inf43">
<mml:math id="m64">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>), which is defined as the ratio between the heating values of the syngas and the feedstock and was calculated with <xref ref-type="disp-formula" rid="e22">Equation 22</xref>:<disp-formula id="e22">
<mml:math id="m65">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>G</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(22)</label>
</disp-formula>
</p>
<p>Where the LHV of the syngas (in MJ/Nm<sup>3</sup>) is calculated with <xref ref-type="disp-formula" rid="e23">Equation 23</xref> from its composition (<xref ref-type="bibr" rid="B31">Khartchenko and Kharchenko, 2014</xref>):<disp-formula id="e23">
<mml:math id="m66">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4.18</mml:mn>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>2.57</mml:mn>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3.0</mml:mn>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>8.54</mml:mn>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>15.13</mml:mn>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(23)</label>
</disp-formula>
</p>
<p>Additionally, the Carbon Conversion Efficiency (<inline-formula id="inf44">
<mml:math id="m67">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) (<xref ref-type="disp-formula" rid="e24">Equation 24</xref>) was calculated as the ratio of carbon moles in the syngas and the carbon moles in the biomass (<xref ref-type="bibr" rid="B31">Khartchenko and Kharchenko, 2014</xref>):<disp-formula id="e24">
<mml:math id="m68">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>H</mml:mi>
</mml:mrow>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi>Y</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(24)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-5">
<label>2.5</label>
<title>Analysis of the potential of gasification in M&#xe9;xico</title>
<p>To determine the potential of gasification an analysis per state was performed. First, the availability of the biomass and the population of each state was determined. Then, an average availability <italic>per capita</italic> was estimated by dividing the total produced biomass (<inline-formula id="inf45">
<mml:math id="m69">
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) by the population, as found in <xref ref-type="disp-formula" rid="e25">Equation 25</xref>:<disp-formula id="e25">
<mml:math id="m70">
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>s</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(25)</label>
</disp-formula>
</p>
<p>Based on the biomass availability and DNI, energy density index (EDI), which represents the maximum achievable energy to be produced via gasification with air or steam (using solar energy as a source of energy was calculated). The EDI was calculated from the syngas LHV, and the available waste biomass (<xref ref-type="disp-formula" rid="e26">Equation 26</xref>):<disp-formula id="e26">
<mml:math id="m71">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(26)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf46">
<mml:math id="m72">
<mml:mrow>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>y</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the yearly availability of waste per state. After that, considering the DNI and the composition of biomass per state a H<sub>2</sub>/CO ratio was calculated, to determine the areas with larger potential for hydrogen or chemical production.</p>
<p>Finally, to assess how the energy demand per state compares to the energy production potential, the Per capita Energy Self-sufficiency Index (PESI) was defined. The PESI (<xref ref-type="disp-formula" rid="e27">Equation 27</xref>) describes the energy contents in the produced syngas associated to the <italic>per capita</italic> produced waste to the <italic>per capita</italic> consumed energy:<disp-formula id="e27">
<mml:math id="m73">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>I</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>H</mml:mi>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>S</mml:mi>
<mml:mi>y</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mi>w</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>c</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mi>E</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(27)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf47">
<mml:math id="m74">
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the consumed energy <italic>per capita</italic>, equaling 2,425&#xa0;kWh, according to SENER (Mexico&#x2019;s federal energy secretariat) (<xref ref-type="bibr" rid="B64">Secretar&#xed;a de Energ&#xed;a SENER, 2023</xref>); importantly, <inline-formula id="inf48">
<mml:math id="m75">
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> accounts for the energy consumed by the residential, industrial, commercial and other sectors. In other words, the PESI provides an indicator of the potential energetic self-sufficiency of each state. A PESI&#x3e;1 (or a fulfillment of more than 100% of the <italic>per capita</italic> required energy) indicates an energy surplus in a state. This can be a valuable decision-making indicator, since states with a PESI&#x3e;&#x3e;1 may be able to produce energy for other contiguous states with a PESI&#x3c;1.</p>
</sec>
<sec id="s2-6">
<label>2.6</label>
<title>Feedstock characterization</title>
<p>The elemental composition of the waste used in the simulations by state was assumed as the weighted average of the elemental composition of each type of residue generated in each state (<xref ref-type="bibr" rid="B70">Vassilev et al., 2010</xref>; <xref ref-type="bibr" rid="B34">Kumar et al., 2022</xref>; <xref ref-type="bibr" rid="B67">Silva et al., 2019</xref>), based on the average agricultural waste masses produced per state per year. The agricultural waste composition from different states throughout Mexico was collected from (<xref ref-type="bibr" rid="B65">SIAP, 2024</xref>); the information can be found in <xref ref-type="table" rid="T5">Table 5</xref>. A total of 13 different agricultural residues were considered, representing an estimated amount of 53 million tons per year, including maize, sugar cane, sorghum and wheat, among others. Information was not available for 5 out of the 31 states: Baja California, Campeche, Coahuila, Colima and Chiapas. The proximate analysis is not included since ashes do not participate in the reactions.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Average ultimate composition from the agricultural waste in different states in Mexico, in weight percent.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">&#x23;</th>
<th align="left">State</th>
<th align="right">C</th>
<th align="right">H</th>
<th align="right">O</th>
<th align="right">N</th>
<th align="right">S</th>
<th align="right">&#x23;</th>
<th align="left">State</th>
<th align="right">C</th>
<th align="right">H</th>
<th align="right">O</th>
<th align="right">N</th>
<th align="right">S</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="left">Aguascalientes</td>
<td align="right">47.83</td>
<td align="right">6.33</td>
<td align="right">44.96</td>
<td align="right">0.74</td>
<td align="right">0.07</td>
<td align="right">14</td>
<td align="left">Oaxaca</td>
<td align="right">48.81</td>
<td align="right">6.16</td>
<td align="right">44.12</td>
<td align="right">0.47</td>
<td align="right">0.07</td>
</tr>
<tr>
<td align="left">2</td>
<td align="left">Chihuahua</td>
<td align="right">49.12</td>
<td align="right">7.53</td>
<td align="right">41.36</td>
<td align="right">1.13</td>
<td align="right">0.04</td>
<td align="right">15</td>
<td align="left">Puebla</td>
<td align="right">48.15</td>
<td align="right">6.19</td>
<td align="right">44.06</td>
<td align="right">0.70</td>
<td align="right">0.07</td>
</tr>
<tr>
<td align="left">3</td>
<td align="left">Ciudad de M&#xe9;xico</td>
<td align="right">45.19</td>
<td align="right">6.11</td>
<td align="right">45.64</td>
<td align="right">3.10</td>
<td align="right">0.02</td>
<td align="right">16</td>
<td align="left">Quer&#xe9;taro</td>
<td align="right">48.57</td>
<td align="right">6.36</td>
<td align="right">44.26</td>
<td align="right">0.71</td>
<td align="right">0.08</td>
</tr>
<tr>
<td align="left">4</td>
<td align="left">Durango</td>
<td align="right">46.57</td>
<td align="right">6.32</td>
<td align="right">45.60</td>
<td align="right">0.84</td>
<td align="right">0.06</td>
<td align="right">17</td>
<td align="left">Quintana Roo</td>
<td align="right">49.42</td>
<td align="right">6.06</td>
<td align="right">44.10</td>
<td align="right">0.30</td>
<td align="right">0.06</td>
</tr>
<tr>
<td align="left">5</td>
<td align="left">Guanajuato</td>
<td align="right">48.68</td>
<td align="right">6.25</td>
<td align="right">44.01</td>
<td align="right">0.62</td>
<td align="right">0.09</td>
<td align="right">18</td>
<td align="left">San Luis Potos&#xed;</td>
<td align="right">48.93</td>
<td align="right">6.04</td>
<td align="right">44.24</td>
<td align="right">0.34</td>
<td align="right">0.06</td>
</tr>
<tr>
<td align="left">6</td>
<td align="left">Guerrero</td>
<td align="right">48.41</td>
<td align="right">6.35</td>
<td align="right">44.11</td>
<td align="right">0.69</td>
<td align="right">0.08</td>
<td align="right">19</td>
<td align="left">Sinaloa</td>
<td align="right">48.04</td>
<td align="right">6.30</td>
<td align="right">44.25</td>
<td align="right">0.77</td>
<td align="right">0.07</td>
</tr>
<tr>
<td align="left">7</td>
<td align="left">Hidalgo</td>
<td align="right">48.18</td>
<td align="right">6.26</td>
<td align="right">43.82</td>
<td align="right">0.71</td>
<td align="right">0.09</td>
<td align="right">20</td>
<td align="left">Sonora</td>
<td align="right">48.14</td>
<td align="right">6.39</td>
<td align="right">44.00</td>
<td align="right">0.94</td>
<td align="right">0.07</td>
</tr>
<tr>
<td align="left">8</td>
<td align="left">Jalisco</td>
<td align="right">48.49</td>
<td align="right">6.22</td>
<td align="right">43.55</td>
<td align="right">0.55</td>
<td align="right">0.07</td>
<td align="right">21</td>
<td align="left">Tabasco</td>
<td align="right">49.45</td>
<td align="right">6.11</td>
<td align="right">44.00</td>
<td align="right">0.34</td>
<td align="right">0.07</td>
</tr>
<tr>
<td align="left">9</td>
<td align="left">M&#xe9;xico</td>
<td align="right">48.26</td>
<td align="right">6.33</td>
<td align="right">43.87</td>
<td align="right">0.80</td>
<td align="right">0.08</td>
<td align="right">22</td>
<td align="left">Tamaulipas</td>
<td align="right">49.40</td>
<td align="right">6.19</td>
<td align="right">43.58</td>
<td align="right">0.45</td>
<td align="right">0.08</td>
</tr>
<tr>
<td align="left">10</td>
<td align="left">Michoac&#xe1;n</td>
<td align="right">48.74</td>
<td align="right">6.30</td>
<td align="right">43.87</td>
<td align="right">0.63</td>
<td align="right">0.08</td>
<td align="right">23</td>
<td align="left">Tlaxcala</td>
<td align="right">48.17</td>
<td align="right">6.34</td>
<td align="right">44.07</td>
<td align="right">0.72</td>
<td align="right">0.09</td>
</tr>
<tr>
<td align="left">11</td>
<td align="left">Morelos</td>
<td align="right">49.20</td>
<td align="right">6.06</td>
<td align="right">43.57</td>
<td align="right">0.36</td>
<td align="right">0.07</td>
<td align="right">24</td>
<td align="left">Veracruz</td>
<td align="right">49.33</td>
<td align="right">6.09</td>
<td align="right">44.06</td>
<td align="right">0.37</td>
<td align="right">0.06</td>
</tr>
<tr>
<td align="left">12</td>
<td align="left">Nayarit</td>
<td align="right">48.42</td>
<td align="right">6.07</td>
<td align="right">45.61</td>
<td align="right">0.48</td>
<td align="right">0.06</td>
<td align="right">25</td>
<td align="left">Yucat&#xe1;n</td>
<td align="right">47.64</td>
<td align="right">6.46</td>
<td align="right">44.75</td>
<td align="right">0.75</td>
<td align="right">0.09</td>
</tr>
<tr>
<td align="left">13</td>
<td align="left">Nuevo Le&#xf3;n</td>
<td align="right">46.76</td>
<td align="right">6.16</td>
<td align="right">44.26</td>
<td align="right">1.67</td>
<td align="right">0.06</td>
<td align="right">26</td>
<td align="left">Zacatecas</td>
<td align="right">43.08</td>
<td align="right">5.88</td>
<td align="right">48.19</td>
<td align="right">0.95</td>
<td align="right">0.03</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-7">
<label>2.7</label>
<title>Cost analysis</title>
<p>To evaluate the cost of gasification, an Order-of-Magnitude estimate was made for each state. The base costs for Direct Capital Cost (DCI), utilities (water, electricity) consumption and other variable costs (for example, salaries) were adapted from (<xref ref-type="bibr" rid="B6">Boujjat et al., 2021</xref>) and are presented in <xref ref-type="table" rid="T6">Tables 6</xref> and <xref ref-type="table" rid="T7">7</xref>.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Base data for the cost analysis (<xref ref-type="bibr" rid="B6">Boujjat et al., 2021</xref>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Concept</th>
<th align="center">Value</th>
<th align="center">Unit</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Plant capacity (<inline-formula id="inf49">
<mml:math id="m76">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>)</td>
<td align="center">870</td>
<td align="center">Ton<sub>dry</sub>/day</td>
</tr>
<tr>
<td align="center">Direct Capital Cost (<inline-formula id="inf50">
<mml:math id="m77">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>)</td>
<td align="center">360.31</td>
<td align="center">million$ (2024)</td>
</tr>
<tr>
<td align="center">Plant staff base (<inline-formula id="inf51">
<mml:math id="m78">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>)</td>
<td align="center">54</td>
<td align="center">Operators</td>
</tr>
<tr>
<td align="center">Water consumption factor for the gasification process (<inline-formula id="inf52">
<mml:math id="m79">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>)</td>
<td align="center">0.66</td>
<td align="center">l/kg<sub>dry-biomass</sub>
</td>
</tr>
<tr>
<td align="center">Water consumption factor for mirrors cleaning (<inline-formula id="inf53">
<mml:math id="m80">
<mml:mrow>
<mml:mfenced open="" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">18</td>
<td align="center">l/MWh</td>
</tr>
<tr>
<td align="center">Electricity consumption factor (<inline-formula id="inf54">
<mml:math id="m81">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>)</td>
<td align="center">0.17</td>
<td align="center">kWh/kg<sub>dry-biomass</sub>
</td>
</tr>
<tr>
<td align="center">Othe Variable Cost (<inline-formula id="inf55">
<mml:math id="m82">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>)</td>
<td align="center">11</td>
<td align="center">million$/year (2024)</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Variable cost factors (considering 2024 prices).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Concept</th>
<th align="center">Value</th>
<th align="center">Unit</th>
<th align="center">Reference</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Operator salary</td>
<td align="center">528.6</td>
<td align="center">$/month</td>
<td align="center">
<xref ref-type="bibr" rid="B47">Ministry of Economy Secretar&#xed;a de Econom&#xed;a (2025)</xref>
</td>
</tr>
<tr>
<td align="center">Electricity price</td>
<td align="center">82.06</td>
<td align="center">$/MWh</td>
<td align="center">
<xref ref-type="bibr" rid="B64">Secretar&#xed;a de Energ&#xed;a SENER (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Water price</td>
<td align="center">2.24</td>
<td align="center">$/m<sup>3</sup>
</td>
<td align="center">
<xref ref-type="bibr" rid="B46">Mexican Institute for Competitivenes (2023)</xref>
</td>
</tr>
<tr>
<td align="center">Biomass price</td>
<td align="center">16.37</td>
<td align="center">$/ton</td>
<td align="center">
<xref ref-type="bibr" rid="B17">El Sol de Hidalgo (2025)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>For the cost analysis, DCI, Fixed Costs (FC) and Variable Costs (VC) were considered. The DCI per state (<inline-formula id="inf56">
<mml:math id="m83">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) was estimated scaling the base values in <xref ref-type="table" rid="T6">Table 6</xref>, deemed Direct Capital Cost base (<inline-formula id="inf57">
<mml:math id="m84">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) and biomass capacity base (<inline-formula id="inf58">
<mml:math id="m85">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>); the biomass availability by state on dry basis (<inline-formula id="inf59">
<mml:math id="m86">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) was considered and employed in <xref ref-type="disp-formula" rid="e28">Equation 28</xref>, updated to year 2024 using the Chemical Engineering Plant Cost Index (<xref ref-type="bibr" rid="B6">Boujjat et al., 2021</xref>). A moisture content of 20% in the residues was assumed for <inline-formula id="inf60">
<mml:math id="m87">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>; this cost does not include cost of land. Although conventional downstream processes in gasification systems, operations such as steam reforming, shift and Pressure Swing Absorption (PSA) are not part of the study, hence, are not considered in the economic analysis, thus reducing the DCI by 12%.<disp-formula id="e28">
<mml:math id="m88">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>0.78</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(28)</label>
</disp-formula>
</p>
<p>For the estimation of fixed cost per state (<inline-formula id="inf61">
<mml:math id="m89">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), the labor cost (<inline-formula id="inf62">
<mml:math id="m90">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), the general and administrative expenses, estimated as 20% of the <inline-formula id="inf63">
<mml:math id="m91">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and the material maintenance costs and repairs, assumed to be equal to 0.5% of the project direct capital costs were considered (<xref ref-type="bibr" rid="B6">Boujjat et al., 2021</xref>). <inline-formula id="inf64">
<mml:math id="m92">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was estimated with <xref ref-type="disp-formula" rid="e29">Equation 29</xref> (<xref ref-type="bibr" rid="B6">Boujjat et al., 2021</xref>):<disp-formula id="e29">
<mml:math id="m93">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.2</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.005</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(29)</label>
</disp-formula>
</p>
<p>
<inline-formula id="inf65">
<mml:math id="m94">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was estimated by the Number of Operators (<inline-formula id="inf66">
<mml:math id="m95">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) and their salaries, according to <xref ref-type="disp-formula" rid="e30">Equation 30</xref>. <inline-formula id="inf67">
<mml:math id="m96">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> was determined by scaling the plant staff base (<inline-formula id="inf68">
<mml:math id="m97">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) using <xref ref-type="disp-formula" rid="e31">Equation 31</xref> (<xref ref-type="bibr" rid="B6">Boujjat et al., 2021</xref>). The Average Salary of Power Generation Machine Operators (<inline-formula id="inf69">
<mml:math id="m98">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>), presented in <xref ref-type="table" rid="T6">Table 6</xref>, was used in the estimation of <inline-formula id="inf70">
<mml:math id="m99">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>.<disp-formula id="e30">
<mml:math id="m100">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>A</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
</mml:math>
<label>(30)</label>
</disp-formula>
<disp-formula id="e31">
<mml:math id="m101">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>0.25</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(31)</label>
</disp-formula>
</p>
<p>Variable costs per state (<inline-formula id="inf71">
<mml:math id="m102">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) included electricity, water, biomass and other variable costs and were calculated using <xref ref-type="disp-formula" rid="e32">Equation 32</xref>.<disp-formula id="e32">
<mml:math id="m103">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(32)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf72">
<mml:math id="m104">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf73">
<mml:math id="m105">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>W</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf74">
<mml:math id="m106">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mi>f</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are water consumption factor for the gasification process, water consumption factor for mirror cleaning and electricity consumption factors, respectively; values are presented in <xref ref-type="table" rid="T6">Table 6</xref>. <inline-formula id="inf75">
<mml:math id="m107">
<mml:mrow>
<mml:msub>
<mml:mi>W</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf76">
<mml:math id="m108">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf77">
<mml:math id="m109">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the prices of water, electricity and biomass, respectively, presented in <xref ref-type="table" rid="T7">Table 7</xref>; the prices were updated using producer price index reported by INEGI (<xref ref-type="bibr" rid="B28">INEGI, 2025</xref>). <inline-formula id="inf78">
<mml:math id="m110">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents Other Variable Costs per state and include other raw materials, waste treatment, solid waste disposal and environmental surcharges; these <inline-formula id="inf79">
<mml:math id="m111">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> were scaled from the base value (<inline-formula id="inf80">
<mml:math id="m112">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) presented in <xref ref-type="table" rid="T6">Table 6</xref> using <xref ref-type="disp-formula" rid="e33">Equation 33</xref>.<disp-formula id="e33">
<mml:math id="m113">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>0.78</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(33)</label>
</disp-formula>
</p>
<p>The Total Variable Cost per state (<inline-formula id="inf81">
<mml:math id="m114">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) was estimated by adding <inline-formula id="inf82">
<mml:math id="m115">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf83">
<mml:math id="m116">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. To estimate the Net Present Value of <inline-formula id="inf84">
<mml:math id="m117">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<inline-formula id="inf85">
<mml:math id="m118">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), <xref ref-type="disp-formula" rid="e34">Equation 34</xref> was used considering an inflation value of 4% (g), an interest rate of 12% (r) and 25 years of life of the plant (n).<disp-formula id="e34">
<mml:math id="m119">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>n</mml:mi>
</mml:msup>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(34)</label>
</disp-formula>
</p>
<p>Then <inline-formula id="inf86">
<mml:math id="m120">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf87">
<mml:math id="m121">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> were added to estimate the Net Present Value of Cost per state (<inline-formula id="inf88">
<mml:math id="m122">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>). This value represents the total expenses of the project during its lifetime at present value and was used along with EDI calculated per state (<inline-formula id="inf89">
<mml:math id="m123">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) to determine two indicators about the economic performance of the project. First indicator was the unitary cost per capacity of power production per state (<inline-formula id="inf90">
<mml:math id="m124">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), according to <xref ref-type="disp-formula" rid="e35">Equation 35</xref>.<disp-formula id="e35">
<mml:math id="m125">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
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<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
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<mml:mrow>
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</mml:msub>
<mml:mrow>
<mml:mn>33068.7</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(35)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf91">
<mml:math id="m126">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
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<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is in $/kW of syngas produced, <inline-formula id="inf92">
<mml:math id="m127">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
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<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is in $ and <inline-formula id="inf93">
<mml:math id="m128">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
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<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> in PJ/year. The factor <inline-formula id="inf94">
<mml:math id="m129">
<mml:mrow>
<mml:mn>33068.7</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> was obtained considering 350&#xa0;days/year and 24&#xa0;h/d of operation.</p>
<p>The second indicator represents the unitary cost of energy per state (<inline-formula id="inf95">
<mml:math id="m130">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) during the lifetime of the project and was obtained using <xref ref-type="disp-formula" rid="e36">Equation 36</xref>.<disp-formula id="e36">
<mml:math id="m131">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
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</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mi mathvariant="normal">x</mml:mi>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mn>6</mml:mn>
</mml:msup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(36)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf96">
<mml:math id="m132">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is in $/GJ, <inline-formula id="inf97">
<mml:math id="m133">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf98">
<mml:math id="m134">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> have the same units that in <xref ref-type="disp-formula" rid="e35">Equation 35</xref>.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<label>3</label>
<title>Results and discussion</title>
<p>Simulations were conducted considering the maximum achievable temperature under the mean irradiation conditions for every state (<xref ref-type="bibr" rid="B8">Buentello-Montoya et al., 2023a</xref>). Air and (<xref ref-type="bibr" rid="B49">Mousavi Rabeti et al., 2023</xref>) steam as the gasification agent; although air gasification is an autothermal technology, the results are presented since they can be useful to provide a comparison with steam gasification under the same conditions, considering that one of the bottlenecks for steam gasification lies in the energy required to produce steam at the given temperature (<xref ref-type="bibr" rid="B8">Buentello-Montoya et al., 2023a</xref>; <xref ref-type="bibr" rid="B43">Maytorena and Buentello-Montoya, 2022</xref>; <xref ref-type="bibr" rid="B63">Samani et al., 2024</xref>; <xref ref-type="bibr" rid="B9">Buentello-Montoya et al., 2023b</xref>). In the upcoming section, firstly the effect of the gasifying agent in the produced gas, and the process CCE and CGE is presented. Afterwards, the results are presented by state; in the &#x201c;by state&#x201d; analysis, the effect of the DNI, the biomass composition and biomass availability is assessed, where the effect in the energy production potential and the H<sub>2</sub>/CO ratio is presented and discussed.</p>
<sec id="s3-1">
<label>3.1</label>
<title>Effect of the gasifying agent in the syngas quality and process efficiency</title>
<p>The effect of the DNI in the produced gas LHV is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, where the ER (for air gasification) was varied from 0.2 to 0.4 (usual for air gasification (<xref ref-type="bibr" rid="B66">Sikarwar et al., 2016</xref>)), while the SBR (for steam gasification) was varied from 0.5 to 1.0 (usual for steam gasification (<xref ref-type="bibr" rid="B66">Sikarwar et al., 2016</xref>)). <xref ref-type="fig" rid="F2">Figure 2a</xref> corresponds to gasification using air, while <xref ref-type="fig" rid="F2">Figure 2b</xref> portrays results from gasification using steam. It can be seen that in the case of air, the LHV increases with DNI (albeit slightly), whereas in the case of steam, the DNI results in a decrease in LHV. Higher DNI leads to higher temperatures, which favors the reverse WGS reaction thus decreasing the H<sub>2</sub> contents in the syngas. On the other hand, as expected (due to carbon and H<sub>2</sub> oxidation, as well as dilution of the gas with nitrogen) the LHV decreases with increasing ER and increases with the SBR (due to an increase in the hydrogen contents in the reactants).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Effect of the DNI in the syngas LHV using <bold>(a)</bold> air and <bold>(b)</bold> steam as gasification agent.</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g002.tif">
<alt-text content-type="machine-generated">Two scatter plots labeled (a) and (b) compare LHV (MJ/Nm&#xB3;) against daily average DNI (kWh/m&#xB2;). Plot (a) uses colors for different ER values: green for 0.2, blue for 0.3, and orange for 0.4, showing upward trends. Plot (b) represents SBR values with orange for 1.0, blue for 0.75, and green for 0.5, showing a decline.</alt-text>
</graphic>
</fig>
<p>With regards to the H<sub>2</sub>/CO ratio, a significant difference can be seen when comparing the use of air and steam in gasification (<xref ref-type="fig" rid="F3">Figure 3</xref>), where the ratio increases in a ratio of around 1:5 when changing air to steam. The increase occurs due to the abundance of H<sub>2</sub>O for the WGS reaction, where the reaction occurs in reverse with increasing temperature due to its exothermicity. This implies that for the synthesis of products such as Fischer-Tropsch fuels, high temperatures (or alternatively, high DNIs) are not necessarily favorable. However, the DNI can be potentially controlled using window shade-like devices (<xref ref-type="bibr" rid="B44">Maytorena and Buentello-Montoya, 2024</xref>). With regards to the ER (in the case of air gasification), the ratio decreases with increasing ER (due to the production of additional CO from the carbon in the biomass). With respect to the SBR (for steam gasification), a marginal decrease occurs with increasing SBR due to shifts in equilibrium in the WGS and the Boudouard reactions (<xref ref-type="bibr" rid="B7">Buentello-Montoya et al., 2020</xref>). With air gasification, higher temperatures promote the decomposition of biomass to H<sub>2</sub>, CO and CO<sub>2</sub>. On the other hand, in the case of steam gasification, higher temperatures lead to the formation of large amounts of H<sub>2</sub>O from H<sub>2</sub>; this is further reflected when analyzing the H<sub>2</sub>/CO ratio.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Effect of the DNI and gasification agent in the syngas H<sub>2</sub>/CO ratio, where <bold>(a)</bold> corresponds to air and <bold>(b)</bold> to steam as agent, respectively.</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g003.tif">
<alt-text content-type="machine-generated">Scatter plots comparing daily average DNI (kWh/m&#xB2;) to H&#x2082;/CO ratios. Graph (a) shows data for ER values: 0.2 (green), 0.3 (blue), 0.4 (orange). Graph (b) presents data for SBR values: 1.0 (orange), 0.75 (blue), 0.5 (green). Both graphs show a downward trend.</alt-text>
</graphic>
</fig>
<p>On the other hand, increasing the gasification temperature and ER (<xref ref-type="fig" rid="F4">Figure 4a</xref>) results in an increased CCE. On the contrary, the CCE decreases with increasing SBR due to shifts in equilibrium in the Boudouard and the carbon gasification reactions (as portrayed in <xref ref-type="fig" rid="F4">Figure 4b</xref>). At higher temperatures, higher CCEs are achieved using air than when compared to using steam. This can be attributed to thermodynamics favoring reactions such as combustion and the Boudouard reaction (<xref ref-type="bibr" rid="B7">Buentello-Montoya et al., 2020</xref>). On the other hand, the CGE increases with DNI using air (<xref ref-type="fig" rid="F4">Figure 4c</xref>) and decreases with DNI using steam (<xref ref-type="fig" rid="F4">Figure 4d</xref>). With regards to the mass of gasification agent, the increase in ER results in lower CGE (mainly due to dilution of the syngas with N<sub>2</sub>) while the larger hydrogen availability with increasing SBR results in an increased LHV, leading to an increase in the CGE.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Effect of the DNI in the process CCE using air and steam as gasification agent. <bold>(a)</bold> CCE using different ERs (0.2, 0.3 and 0.4), <bold>(b)</bold> CCE using different SBRs (0.5, 0.75 and 1.0), <bold>(c)</bold> CGE using different ERs (0.2, 0.3 and 0.4) and <bold>(d)</bold> CGE using different SBRs (0.5, 0.75 and 1.0).</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g004.tif">
<alt-text content-type="machine-generated">Grouped scatter plots illustrating the relationship between daily average DNI and efficiencies. Chart (a) and (b) show carbon conversion efficiency with varying equivalence ratios (ER) and steam-to-biomass ratios (SBR), showing increasing trends. Chart (c) and (d) depict cold gas efficiency under similar conditions, displaying both increasing and slightly decreasing patterns. Different colored dots represent specific ER and SBR values.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>Energy density by state</title>
<p>
<xref ref-type="fig" rid="F5">Figure 5</xref> provides information on the waste agricultural biomass availability by state, where 5a shows the average total produced biomass, <xref ref-type="fig" rid="F5">Figure 5b</xref> shows the population by state, 5c shows the average produced biomass <italic>per capita</italic>, 5&#xa0;days portrays a map of the normalized average biomass waste generation by state (calculated by diving the average production of state <inline-formula id="inf99">
<mml:math id="m135">
<mml:mrow>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> by the average production of Sinaloa, the top producer) and 6e portrays the average yearly DNI by state. The produced biomass <italic>per capita</italic> was calculated using data available from Mexico&#x2019;s federal government (<xref ref-type="bibr" rid="B53">National Institute of Statistics and Geography Instituto Nacional de Estad&#xed;stica y Geograf&#xed;a, 2020</xref>). The largest mass of residues is located in the states of Sinaloa, Jalisco and Veracruz, while the largest average generation of residues <italic>per capita</italic> can be found in the states of Sinaloa, Tamaulipas and Sonora. Regarding sun energy availability, the states with the largest average DNI are Chihuahua, Sonora and Durango. This shows that there is no correspondence between the availability of residues and irradiation.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Biomass availability and DNI by state, where <bold>(a)</bold> shows the waste biomass by state (in tons/year), <bold>(b)</bold> shows the waste biomass <italic>per capita</italic>, <bold>(c)</bold> shows a map of the normalized waste generation, <bold>(d)</bold> shows the normalized average biomass waste generation and <bold>(e)</bold> shows the average yearly DNI (in kWh/m<sup>2</sup>) (<xref ref-type="bibr" rid="B24">Global Solar Atlas, 2020</xref>).</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g005.tif">
<alt-text content-type="machine-generated">Three bar charts compare states in Mexico. Chart (a) shows waste generation in kilotons per year, chart (b) shows population in millions, and chart (c) shows waste generation per person per year in tons. Key states include Jalisco, M&#xE9;xico, and San Luis Potos&#xED; with varying trends across the charts. Map (d) depicts normalized biomass availability across different regions in Mexico, shaded from light to dark orange. Regions are labeled with values indicating availability, with the highest at 1.00. Map (e) shows yearly average Direct Normal Irradiance (DNI) in kilowatt-hours per square meter for the same regions, using a similar color scale. Each area is labeled with its DNI value, ranging from 1,571.76 to 2,715.12.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F6">Figure 6a</xref> presents the EDI calculated per state via gasification with air, while <xref ref-type="fig" rid="F6">Figure 6b</xref> shows the EDI of gasification with steam. The presented results were obtained with a constant gasification agent mass to achieve a gas yield of &#x2248;1.2 Nm<sup>3</sup>/kg biomass (ER of 0.2, for air and SBR of 0.5 for steam).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Energy Density Index in PJ/year, obtained with <bold>(a)</bold> air and <bold>(b)</bold> steam gasification.</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g006.tif">
<alt-text content-type="machine-generated">Two maps of Mexico depicting the Energy Density Index in petajoules per year by region. Map (a) shows values ranging from 0.11 to 60, using shades of orange, with higher densities in the north. Map (b) displays values from 0.2 to 126.8 in shades of blue, with concentrated densities in the northwest and center. Gray areas indicate missing data.</alt-text>
</graphic>
</fig>
<p>The states with the highest EDIs using air are Sinaloa, Chihuahua, Jalisco and Veracruz, with 60, 55.9, 46.6 and 42.5 PJ/year, respectively. Interestingly, although the EDI tends to be higher in the north, the relationship does not hold true for every case. Using steam as a gasifying agent results in Sinaloa, Veracruz, Chihuahua and Jalisco, with 126.8, 101.7, 100.1 and 98.7 PJ/year, respectively, being the states with the highest values. In contrast, for both gasifying agents, Ciudad de M&#xe9;xico, Aguascalientes, Nuevo Le&#xf3;n, Yucat&#xe1;n and Quer&#xe9;taro result in the lowest energy potential, where 0.10, 0.65, 1.1, 1.4&#xa0;years 2.1 PJ/year were obtained with air, and 0.24, 1.3, 2.6, 3.3 and 4.5 PJ/year were obtained with steam. The results indicate that (1) the states with the most and least potential are the same, regardless of the gasification agent, and (<xref ref-type="bibr" rid="B49">Mousavi Rabeti et al., 2023</xref>) the defining aspect in the potential for solar gasification as a source of energy is the biomass availability, above the biomass composition and the DNI. This goes in agreement with Machine-Learning studies that report that the LHV of a syngas is more than anything affected by the gasification temperature, even if the H<sub>2</sub> content in the syngas is directly related to the hydrogen contents in the biomasses, while the biomass component with the highest importance in the overall process performance is carbon (<xref ref-type="bibr" rid="B10">Buentello-Montoya et al., 2025</xref>). Notwithstanding, the biomass composition has a significant effect. For example, Chihuahua ranks fourth in waste generation (<xref ref-type="fig" rid="F6">Figure 6a</xref>) but ranks second in the EDI using air, and Veracruz ranks third in waste generation, but ranks second in EDI with steam. Generally speaking, the energy density using steam increases by a factor of around 2.2 when replacing air with steam. This highlights the potential of the inclusion of solar energy for the allothermal process.</p>
</sec>
<sec id="s3-3">
<label>3.3</label>
<title>H<sub>2</sub>/CO by state</title>
<p>H<sub>2</sub>/CO is an important indicator of the potential applications of syngas, as, for example, for the synthesis of some chemicals a high H<sub>2</sub>/CO ratio (&#x3e;2) is necessary. <xref ref-type="fig" rid="F7">Figure 7</xref> shows the H<sub>2</sub>/CO by state, where <xref ref-type="fig" rid="F7">Figures 7a,b</xref> represent the use of air and steam as gasification agent, respectively. By comparing <xref ref-type="fig" rid="F7">Figure 7</xref> with <xref ref-type="fig" rid="F5">Figure 5e</xref>, it can be inferred that a negative relationship between the DNI and the H<sub>2</sub>/CO exists, where the increase in DNI has a more significant effect when using steam; the more significant effect can be related to the exothermicity of the water-gas shift reaction. Still, when using steam, most states have a H<sub>2</sub>/CO&#x3e;&#x3e;2, indicating a potential for additional syngas applications besides energy. However, from the biomass availability (<xref ref-type="fig" rid="F5">Figure 5</xref>), it can be inferred the states with the highest H<sub>2</sub>/CO ratio (Veracruz with 26.7, Tamaulipas with 11.2 and Nuevo Leon with 12.8, all located in eastern Mexico) also have a low-to-average normalized biomass productions (Veracruz 0.77, Tamaulipas 0.54 and Nuevo Leon 0.02), indicating that in Mexico, the H<sub>2</sub>/CO is not the sole important decision making indicator for a H<sub>2</sub>-based chemicals plant, since this criteria may result in feedstock availability problem. Additionally, something to notice is that the states with higher H<sub>2</sub>/CO ratio are close to existing petrochemical facilities (in Guanajuato, Hidalgo Tabasco and Veracruz), which can be an opportunity to use that infrastructure to convert the syngas into chemicals through processes such as Fischer-Tropsch (<xref ref-type="bibr" rid="B25">Gobierno de M&#xe9;xico, 2022</xref>). Moreover, establishing a plant for biomass processing in the states by the Gulf of Mexico (Veracruz and Tabasco) could benefit from other economic activities such as aquaculture, or from waste such as algae washed ashore; this analysis is outside of the scope of the present work, however.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>H<sub>2</sub>/CO ratio by state. <bold>(a)</bold> Corresponds to air gasification and <bold>(b)</bold> to steam gasification.</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g007.tif">
<alt-text content-type="machine-generated">Two maps of Mexico show H2/CO ratios by region. Map (a) uses a red color scale; values range from 1.0 to 4.9, with higher values in the southeast. Map (b) uses a blue color scale; values range from 3.0 to 26.7, with higher values in the southeast.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-4">
<label>3.4</label>
<title>Per capita self-sufficiency index</title>
<p>To evaluate the extent to which each state could rely on its own agricultural residues and solar resource for energy generation, the Per Capita Energy Self-Sufficiency Index (PESI), defined in <xref ref-type="disp-formula" rid="e27">Equation 27</xref>, was employed. The PESI compares the theoretical energy content of syngas produced from the waste biomass produced <italic>per capita</italic> to the average <italic>per capita</italic> energy consumption in Mexico, which is approximately 2,425&#xa0;kWh/year (<xref ref-type="bibr" rid="B64">Secretar&#xed;a de Energ&#xed;a SENER, 2023</xref>). A PESI value greater than 1 indicates that a state could theoretically generate enough energy from solar gasification of agricultural biomass waste to exceed its own demand, whereas values below 1 indicate that local residues are insufficient, and that external energy sources or complementary technologies would be required. By analyzing the results in terms of PESI, it becomes possible to determine which states have potential for energy self-sufficiency, those that might benefit from regional integration, and that where solar gasification may be unsuitable.</p>
<p>
<xref ref-type="fig" rid="F8">Figure 8</xref> shows bar plots of the PESI using (<xref ref-type="fig" rid="F8">Figure 8a</xref>) air and (<xref ref-type="fig" rid="F8">Figure 8b</xref>) steam as gasification agents, while <xref ref-type="fig" rid="F8">Figures 8c,d</xref> show a map of the geographical distribution of the PESI using air and steam, respectively. Finally, <xref ref-type="fig" rid="F8">Figures 8e,f</xref> portray the PESI for both gasification agents as a function of the available waste biomass and the DNI.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Per capita Energy Self-sufficiency Index (PESI) by state, calculated using <bold>(a)</bold> air and <bold>(b)</bold> steam as gasification agent, maps of the PESI using <bold>(c)</bold> air and <bold>(d)</bold> steam, and <bold>(e)</bold> and <bold>(f)</bold> show the PESI as a function of the available waste biomass and DNI for air and steam, respectively.</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g008.tif">
<alt-text content-type="machine-generated">(a) Horizontal bar graph showing PESI values for Mexican states, categorized as Low, Moderate, and Exceeded. Sinaloa and Sonora have the highest PESI values. (b) Similar graph for the same states with different PESI ranges. Sonora and Sinaloa again have the highest values. (c) Map of Mexico with states shaded to reflect PESI levels, from 0.00 to 2.36. Sinaloa shows the highest PESI value of 2.36. Map (d) shows the PESI indicator across Mexican states with a gradient from light to dark blue, indicating values ranging from 0.05 to 4.80. Charts (e) and (f) display contour plots, relating produced waste biomass to yearly average DNI in kilowatt-hours per square meter, with contour lines labeled with different values.</alt-text>
</graphic>
</fig>
<p>From the results found in <xref ref-type="fig" rid="F8">Figure 8</xref>, the states can be grouped into three categories.<list list-type="order">
<list-item>
<p>Exceeded PESI (PESI&#x2265; 100%), where the energy potential surpasses the <italic>per capita</italic> consumption. These states are suitable for solar gasification, and may benefit from not only energy generation, but the production of compounds such as ammonia from the produced hydrogen:</p>
<list list-type="bullet">
<list-item>
<p>Using air: Sinaloa (236%), Sonora (132%), Chihuahua (120%) and Tamaulipas (100%).</p>
</list-item>
<list-item>
<p>Using steam: Sinaloa (480%), Sonora (245%), Tamaulipas (222%), Chihuahua (209%), Nayarit (154%), Veracruz (144%), Jalisco (135%), Guanajuato (127%) and Michoac&#xe1;n (124%).</p>
</list-item>
</list>
</list-item>
<list-item>
<p>Moderate PESI (50%&#x3c;PESI&#x3c;100%), which may include states with a significant energy production potential, but due to population, may not satisfy the required energy and thus may require synergy from other technologies or support from adjacent states. These states may be suitable for a solar gasification plant:</p>
<list list-type="bullet">
<list-item>
<p>Using air: Nayarit (74%) and Michoac&#xe1;n (58%).</p>
</list-item>
<list-item>
<p>Using steam: Zacatecas (93%) and Tabasco (53%).</p>
</list-item>
</list>
</list-item>
<list-item>
<p>Low PESI (PESI&#x3c;50%), where the potential for energy production is low compared to its requirements, due to limitations in the available waste biomass, and therefore, may be questionable for solar gasification unless supported with other technologies:</p>
<list list-type="bullet">
<list-item>
<p>Using air: Zacatecas (48%) and Ciudad de M&#xe9;xico (0.14%).</p>
</list-item>
<list-item>
<p>Using steam: Quintana Roo (45%) a Ciudad de M&#xe9;xico (0.31%).</p>
</list-item>
</list>
</list-item>
</list>
</p>
<p>From the results and based on the geographical distribution and on the categories, different actions can be undertaken.<list list-type="order">
<list-item>
<p>Exceeded PESI: The surplus energy could be exported however attention must be paid to the energy consumed (and the associated carbon footprint) during transportation and the associated logistics. Additionally, hydrogen-based refineries and processes can be established to produce chemicals such as methane, methanol or urea (<xref ref-type="bibr" rid="B42">Masjedi et al., 2024</xref>; <xref ref-type="bibr" rid="B68">Sinha and Panigrahy, 2024</xref>; <xref ref-type="bibr" rid="B3">Alfian and Purwanto, 2019</xref>).</p>
</list-item>
</list>
</p>
<p>Moderate PESI: Moderate PESI states may benefit from solar gasification but will be hardly able to rely on it as the sole source of energy, therefore, are recommended to potentially work in tandem with Exceeded PESI states to satisfy their needs.<list list-type="simple">
<list-item>
<p>2. Low PESI: Low PESI states may benefit more from other technologies such as biodigesters.</p>
</list-item>
</list>
</p>
<p>Remarkably, a high PESI value does not necessarily mean that the state is suitable for solar gasification, since interest might be in the production of chemicals which require parameters such as a large H<sub>2</sub>/CO ratio. Moreover, states with a PESI value can be either a hub for chemical production or energy production, to satisfy the demands of other states. For example, Sinaloa (PESI of 2.36 with air and 4.80 with steam) could provide contiguous states with low PESIs (0.60 for steam and 0.32 for air) with chemicals and energy.</p>
<p>With regards to the relationship between the available waste biomass (<xref ref-type="fig" rid="F8">Figures 8e,f</xref>), the DNI and the PESI, it can be seen that the main contributor to the PESI is the available waste biomass. Therefore, the potential use (e.g., as a fuel, or for downstream processing) of the produced syngas can be attributed to the DNI and the average biomass composition, whereas states with a large amount of available agricultural biomass are suitable for energy production.</p>
<p>Regarding the geographical distribution and its relationship with PESI and energy availability, Veracruz is connected to the center of Mexico, where no state has a PESI score larger than 1, and where more than 30% of the overall population (and energy consumption) is found, making it prospect for a solar gasification plant.</p>
</sec>
<sec id="s3-5">
<label>3.5</label>
<title>Economic indicators</title>
<p>To evaluate the economic performance of the process, <inline-formula id="inf100">
<mml:math id="m136">
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</inline-formula> and <inline-formula id="inf101">
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> where estimated and used as indicators. <xref ref-type="fig" rid="F9">Figure 9</xref> presents the behavior of <inline-formula id="inf102">
<mml:math id="m138">
<mml:mrow>
<mml:msub>
<mml:mrow>
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</inline-formula>. This indicator shows that smaller production capacity (i.e., states with lower biomass production) leads to higher costs, which is expected because of economy of scale. At the same time, a large decrease in the <inline-formula id="inf103">
<mml:math id="m139">
<mml:mrow>
<mml:msub>
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<mml:mi>a</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> can be observed for capacities below 2 million tons of biomass processed per year. With production above 1.9 million tons/year, the reduction in cost is less pronounced, varying around 18% with a variation of 5 million tons/year in plan capacity. The range between 1,700&#x2013;2,100 $/kW is larger than those reported in literature (<xref ref-type="bibr" rid="B40">Lourinho et al., 2023</xref>), which varies between 675&#x2013;1,300 $/kW; the reported values do not include all the variable costs considered in this work, however.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Unitary cost per capacity of power production (<inline-formula id="inf104">
<mml:math id="m140">
<mml:mrow>
<mml:msub>
<mml:mrow>
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>).</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g009.tif">
<alt-text content-type="machine-generated">Graph depicting the relationship between plant capacity and cost. As plant capacity increases from zero to eight million tons per year, the cost in dollars per kilowatt decreases steeply initially and then gradually levels off.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F10">Figure 10</xref> presents the values of <inline-formula id="inf105">
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</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, where Chihuahua has the smallest value with 1.96 $/GJ, followed by Sinaloa, Veracruz and Sonora, with 2.25, 2.26 and 2.28 $/GJ respectively. These results show that the cost of production of syngas can be competitive with prices of natural gas in M&#xe9;xico, which have varied between 2.97 and 6.79 $/GJ during the period of 2020&#x2013;2024 (<xref ref-type="bibr" rid="B64">Secretar&#xed;a de Energ&#xed;a SENER, 2023</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Unitary cost of energy per state (<inline-formula id="inf106">
<mml:math id="m142">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>U</mml:mi>
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</mml:math>
</inline-formula>).</p>
</caption>
<graphic xlink:href="fceng-07-1648187-g010.tif">
<alt-text content-type="machine-generated">Map of Mexico showing the UCE values in dollars per gigajoule for each state. Values range from 1.96 to 7.60, with varying shades of blue indicating different costs.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-6">
<label>3.6</label>
<title>Overview of environmental benefits of the technology</title>
<p>The proposed technology can potentially decrease the environmental burden associated to satisfying the country&#x2019;s energy needs. With respect to land use, the proposed systems relies on existing agricultural and municipal residues as feedstock, rather than dedicated energy crops (first generation biofuels). This reduces pressure on fertile land and avoids negative impacts associated with land-use change (<xref ref-type="bibr" rid="B56">Parthasarathy et al., 2022</xref>). It is worth noting that most of these residues are currently disposed of in open-air landfills in Mexico, since this is the most economical and straightforward option; however, such disposal is associated to environmental and health problems due to potential emissions, infiltration of pollutants to groundwater bodies, and particle matter associated to health hazards (<xref ref-type="bibr" rid="B20">Foong et al., 2020</xref>). On the other hand, regarding water consumption, solar thermochemical systems generally require less water than conventional plants whose energy is supplied by combustion since do not rely on steam cycles, given that the primary energy input for solar gasification plants is solar radiation coupled with locally available biomass, in addition that no additional water is required to harvest the crops (<xref ref-type="bibr" rid="B18">Eldredge, 2021</xref>). In terms of greenhouse gas emissions, solar gasification avoids the use of heat derived from fossil fuels or from the direct burning of biomass, significantly reducing the carbon footprint and greenhouse gas emissions (<xref ref-type="bibr" rid="B44">Maytorena and Buentello-Montoya, 2024</xref>; <xref ref-type="bibr" rid="B18">Eldredge, 2021</xref>; <xref ref-type="bibr" rid="B55">Nzihou et al., 2012</xref>). In addition, the co-production of biochar provides complementary benefits, as this material enables carbon capture and storage while improving soil physical properties such as aeration, workability, and water retention capacity (<xref ref-type="bibr" rid="B56">Parthasarathy et al., 2022</xref>), associated to the recognition of biochar as an advanced and sustainable material with the potential to increase soil fertility, improve crop yields, and sequester atmospheric carbon (<xref ref-type="bibr" rid="B60">Qambrani et al., 2017</xref>). All in all, have the potential to reduce emissions associated to energy production while fostering circular economy strategies based on waste utilization, to produce valuable chemicals such as Fischer-Tropsch liquids (<xref ref-type="bibr" rid="B35">Li et al., 2017</xref>). Nevertheless, it must be acknowledged that a full-fledged life cycle assessment (LCA) is necessary to comprehensively quantify these benefits and impacts. Although such an analysis is beyond the scope of the present work, it is proposed as a future research direction to more fully evaluate the environmental implications of this technology.</p>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Summary and conclusions</title>
<p>An analysis of the potential of solar gasification in Mexico was conducted using Gibbs free energy minimization-based simulations to assess the potential of steam-based solar gasification. Air and steam were compared as gasifying agents using average direct normal irradiation to heat the reactor. Results demonstrate that although the syngas quality (in terms of the Lower Heating Value and H<sub>2</sub>/CO ratio) is affected by direct normal irradiance (where higher irradiation tends to decrease the lower heating value and H<sub>2</sub>/CO ratio of the produced syngas), the decisive factors for solar gasification as a source of energy are the biomass availability and composition, rather than the solar resource. Moreover, it was found that steam produces better quality syngas than air, highlighting the necessity to find energy sources for steam gasification. A Per Capita Energy Self-Sufficiency Index (PESI) was computed, which shows that states with abundant agricultural residues, such as Sinaloa and Veracruz, could meet or even surpass their local energy demand through solar gasification. Moreover, the economic analysis shows that states with high biomass and energy production can have potential for gasification, since the unitary cost of energy of around 2&#x2013;2.3 $/GJ is competitive with natural gas, whose cost in Mexico varies between 2.97&#x2013;6.79 $/GJ.</p>
<p>Overall, the findings highlight solar biomass gasification as a promising strategy for coupling Mexico&#x2019;s agricultural waste streams with the abundance of solar resources, potentially contributing to decentralized energy supply and to the development of hydrogen-based chemical industries. Future research should extend this analysis by considering seasonal feedstock variability, logistics and supply chain aspects, and the environmental footprint of large-scale implementation. Moreover, a deeper economic analysis focused on the states of Sinaloa, Veracruz and Chihuahua (and possibly Jalisco) may be worthwhile, considering specifics of each state such as land price, loans, taxes, variation in salaries, biomass and utilities costs and energy sale prices.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The datasets presented in this article are not readily available because The data is confidential, unfortunately. Requests to access the datasets should be directed to David Buentello-Montoya, <email xlink:href="david.buentello@tec.mx">david.buentello@tec.mx</email>.</p>
</sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>VM-S: Conceptualization, Formal Analysis, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review and editing. DB-M: Conceptualization, Investigation, Methodology, Software, Supervision, Validation, Writing &#x2013; original draft, Writing &#x2013; review and editing. HA: Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Writing &#x2013; original draft, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s9">
<title>Generative AI statement</title>
<p>The authors declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1143904/overview">Kavitha S</ext-link>, Karpagam Academy of Higher Education, India</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1870967/overview">Sankar Chakma</ext-link>, Indian Institute of Science Education and Research, Bhopal, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2551035/overview">Elnaz Sohani</ext-link>, University of Nottingham, United Kingdom</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3232590/overview">Narendra Sadhwani</ext-link>, Thermo Fisher Scientific, United States</p>
</fn>
</fn-group>
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