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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mech. Eng</journal-id>
<journal-title>Frontiers in Mechanical Engineering</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mech. Eng</abbrev-journal-title>
<issn pub-type="epub">2297-3079</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">680193</article-id>
<article-id pub-id-type="doi">10.3389/fmech.2021.680193</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Mechanical Engineering</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Hydrogen Addition to Natural Gas in Cogeneration Engines: Optimization of Performances Through Numerical Modeling</article-title>
<alt-title alt-title-type="left-running-head">Costa et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Hydro-NG Fueled ICE Simulation</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Costa</surname>
<given-names>Michela</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/222063/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Piazzullo</surname>
<given-names>Daniele</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/529102/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dolce</surname>
<given-names>Alessandro</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<label>
<sup>1</sup>
</label>CNR Istituto di Scienze e Tecnologie per l&#x2019;Energia e la Mobilit&#xe0; Sostenibili (STEMS), <addr-line>Naples</addr-line>, <country>Italy</country>
</aff>
<aff id="aff2">
<label>
<sup>2</sup>
</label>Grastim J.V. S.r.l., <addr-line>Naples</addr-line>, <country>Italy</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/930848/overview">Vincenzo Mulone</ext-link>, University of Rome Tor Vergata, Italy</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/300562/overview">Georgios Mavropoulos</ext-link>, National Technical University of Athens, Greece</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1191628/overview">Bheru Lal Salvi</ext-link>, Maharana Pratap University of Agriculture and Technology, India</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Michela Costa, <email>michela.costa@stems.cnr.it</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Engine and Automotive Engineering, a section of the journal Frontiers in Mechanical Engineering</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>05</day>
<month>08</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="collection">
<year>2021</year>
</pub-date>
<volume>7</volume>
<elocation-id>680193</elocation-id>
<history>
<date date-type="received">
<day>13</day>
<month>03</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>06</month>
<year>2021</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2021 Costa, Piazzullo and Dolce.</copyright-statement>
<copyright-year>2021</copyright-year>
<copyright-holder>Costa, Piazzullo and Dolce</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). 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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>A numerical study of the energy conversion process occurring in a lean-charge cogenerative engine, designed to be powered by natural gas, is here conducted to analyze its performances when fueled with mixtures of natural gas and several percentages of hydrogen. The suitability of these blends to ensure engine operations is proven through a zero&#x2013;one-dimensional engine schematization, where an original combustion model is employed to account for the different laminar propagation speeds deriving from the&#x20;hydrogen addition. Guidelines for engine recalibration are traced thanks to the achieved numerical results. Increasing hydrogen fractions in the blend speeds up the combustion propagation, achieving the highest brake power when a 20% of hydrogen fraction is considered. Further increase of this last would reduce the volumetric efficiency by virtue of the lower mixture density. The formation of the NOx pollutants also grows exponentially with the hydrogen fraction. Oppositely, the efficiency related to the exploitation of the exhaust gases&#x2019; enthalpy reduces with the hydrogen fraction as shorter combustion durations lead to lower temperatures at the exhaust. If the operative conditions are shifted towards leaner air-to-fuel ratios, the in-cylinder flame propagation speed decreases because of the lower amount of fuel trapped in the mixture, reducing the conversion efficiencies and the emitted nitrogen oxides at the exhaust. The link between brake power and spark timing is also highlighted: a maximum is reached at an ignition timing of 21&#xb0; before top dead center for hydrogen fractions between 10 and 20%. However, the exhaust gases&#x2019; temperature also diminishes for retarded spark timings. Lastly, an optimization algorithm is implemented to individuate the optimal condition in which the engine is characterized by the highest power production with the minimum fuel consumption and related environmental impact. As a main result, hydrogen addition up to 15% in volume to natural gas in real cogeneration systems is proven as a viable route only if engine operations are shifted towards leaner air-to-fuel ratios, to avoid rapid pressure rise and excessive production of pollutant emissions.</p>
</abstract>
<kwd-group>
<kwd>hydrogen</kwd>
<kwd>natural gas</kwd>
<kwd>cogeneration</kwd>
<kwd>numerical modelling</kwd>
<kwd>hydrogen&#x2013;NG</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>Decarbonizing energy generation is today a main issue, as related to the ONU Agenda 2030 as well as to fulfill the commitments assumed at a global level regarding the release of greenhouse gases (GHGs) within tolerable limits, so as to mitigate negative effects of climate changes. Currently considered measures to reduce the environmental impact deriving from the exploitation of fossil fuels in reciprocating internal combustion engines (ICEs), for both energy direct use and transportation purposes, include various alternatives.</p>
<p>Natural gas&#x2019; (NG) chemical properties and its easy use due to diffused accessibility to national distribution networks and/or to storage facilities make this fuel a largely used option for steady cogeneration purposes (<xref ref-type="bibr" rid="B30">Sandalci et&#x20;al., 2019</xref>). NG is mainly composed by methane (CH<sub>4</sub>) and has a low carbon-to-hydrogen (C/H) ratio, so as to provide relatively low specific CO and CO<sub>2</sub> emissions deriving from its combustion in spark ignition (SI) engines, combined with an intrinsically high knocking resistance that allows increasing the ICE compression ratio with consequent better overall efficiency (<xref ref-type="bibr" rid="B7">&#xc7;eper, 2012</xref>).</p>
<p>Issues related to the environmental impact of fossil-fuel&#x2013;powered energy systems have recently brought increased attention towards the use of hydrogen (H<sub>2</sub>), due to the intrinsic possibility of this energy carrier to produce only water vapor from its combustion. This fuel is a valuable candidate for energy storage (<xref ref-type="bibr" rid="B21">Liu et&#x20;al., 2020</xref>), especially for the so-called seasonal storage, to exploit possible electricity surpluses during peak power production periods to efficiently generate energy during shortage ones (<xref ref-type="bibr" rid="B35">Uchman et&#x20;al., 2020</xref>) and to also avoid selling of electricity surpluses during low market price intervals. The problem, indeed, regards today many already installed cogeneration plants, especially in Italy, having up to the recent past profited of incentives to power generation and delivery to the national grid, but that, due to a massive energy production, currently undergo economic losses due to a scenario of overall lower energy selling prices.</p>
<p>In specific, the conversion of surplus of electric energy into chemical energy is the core element of the so-called power-to-gas concept and is performed through the process of water electrolysis, where electrical energy by only renewables can be used to derive both hydrogen and oxygen from water (<xref ref-type="bibr" rid="B31">Schiebahn et&#x20;al., 2015</xref>). The hydrogen reconversion to electrical energy may occur through fuel cells, although its direct use in SI cogeneration engines is often a preferable route, especially to avoid investment costs in further components beside electrolyzers. The interest towards hydrogen use for combustion in SI engines, indeed, is gaining a renewed attention by energy saving companies (ESCos), as a way to reach an overall higher efficiency of cogenerative systems over a continuous yearly&#x20;basis.</p>
<p>When dealing with hydrogen combustion in SI ICEs, its larger flammability limits compared to NG and gasoline and a knocking more resistant behavior must be considered: its oxidation process greatly differs from that of conventional fuels and would need proper redesign of the combustion chamber to face the higher propagation speed and the resulting higher pressure gradients and temperatures within the combustion chamber. Blending hydrogen with NG is an effective solution to profit of this energy vector without modifying too much the existing facilities and to simultaneously achieve greater efficiency in power production under electrical energy surplus occurrence. Hydrogen&#x2013;NG blends also allow engine operation with lean mixtures with consequent positive effects on operating&#x20;costs.</p>
<p>A summary of the main properties of NG, hydrogen, hydrogen-enriched compressed natural gas (HCNG, 10% of hydrogen in volume), and gasoline is reported in <xref ref-type="table" rid="T1">Table&#x20;1</xref>. Blending hydrogen with NG is not straightforward and always convenient as the hydrogen fraction needs to be optimized according to the specific engine operating condition. As the level of hydrogen increases at a fixed engine operative point, the in-cylinder temperature increases too, while the combustion duration reduces. The overall effect can be summarized in lower unburned hydrocarbons (UHC) and CO emissions, but in augmented nitrogen oxide (NOx) emissions, due to the higher combustion temperature and enhanced heat losses (<xref ref-type="bibr" rid="B40">Yan et&#x20;al., 2018</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Property comparison among NG, hydrogen, hydrogen&#x2013;natural gas blend and gasoline (<xref ref-type="bibr" rid="B7">&#xc7;eper, 2012</xref>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">NG</th>
<th align="center">H<sub>2</sub>
</th>
<th align="center">NG&#x2013;H<sub>2</sub>
</th>
<th align="center">Gasoline</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Stoichiometric volume fraction in air (v/v %)</td>
<td align="center">9.43</td>
<td align="center">29.53</td>
<td align="center">22.8</td>
<td align="center">1.76</td>
</tr>
<tr>
<td align="left">Autoignition temperature (K)</td>
<td align="center">813</td>
<td align="center">858</td>
<td align="center">825</td>
<td align="center">501&#x2013;744</td>
</tr>
<tr>
<td align="left">Flame temperature in air (K)</td>
<td align="center">2,148</td>
<td align="center">2,318</td>
<td align="center">2,210</td>
<td align="center">2,470</td>
</tr>
<tr>
<td align="left">Burning velocity in NTP air (m/s)</td>
<td align="center">45</td>
<td align="center">325</td>
<td align="center">110</td>
<td align="center">37&#x2013;43</td>
</tr>
<tr>
<td align="left">Diffusivity in air (cm<sup>2</sup>/s)</td>
<td align="center">0.2</td>
<td align="center">0.63</td>
<td align="center">0.31</td>
<td align="center">0.08</td>
</tr>
<tr>
<td align="left">Flammability limits (equivalence ratio)</td>
<td align="center">0.7&#x2013;4</td>
<td align="center">0.1&#x2013;7.1</td>
<td align="center">0.5&#x2013;5.4</td>
<td align="center">0.7&#x2013;3.8</td>
</tr>
<tr>
<td align="left">Lower heating value (LHV) (MJ/kg)</td>
<td align="center">48</td>
<td align="center">120</td>
<td align="center">66</td>
<td align="center">43.4</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Many laboratory experiments were performed on hydrogen&#x2013;NG or hydrogen&#x2013;methane combustion to assess the advantages of these blends up to the release of a commercialized gas in the United&#x20;States with the registered trademark of Hythane, a mixture of 15% H<sub>2</sub> and 85% of NG in volume by <xref ref-type="bibr" rid="B20">Kavathekar et&#x20;al. (2007)</xref>. The achieved results are described into detail in the next section of this article. The benefits of hydrogen addition in reducing the overall noxious emissions and in improving thermal efficiencies are also demonstrated in the study by <xref ref-type="bibr" rid="B29">Pede et&#x20;al. (2007)</xref>.</p>
<p>However, despite the high number of conducted works, there are still some open challenges, for example, the choice of the right amount of hydrogen fraction allowable to avoid rapid pressure rises and, more importantly, defining the optimal combination that exists between hydrogen addition, the excess air ratio, and spark timing (<xref ref-type="bibr" rid="B2">Alrazen and Ahmad, 2018</xref>; <xref ref-type="bibr" rid="B38">Visciglio, 2019</xref>). This is especially relevant to cogeneration purposes, where SI engines, also of very large size, are powered extremely lean and with high supercharging pressure, so as to reach extremely interesting thermal efficiencies for this kind of combustion concept.</p>
<p>The present study intends to give a contribution in this direction. In this perspective, a numerical simulation approach is followed, as it can provide useful tips for a deeper understanding of hydrogen&#x2013;NG blend combustion characteristics with reduced costs as compared to experiments. Zero or monodimensional (0&#x2013;1D) models are typically employed to conduct fast parametric analyses to investigate the optimal tradeoff between power output, fuel consumption, and emissions (<xref ref-type="bibr" rid="B40">Yan et&#x20;al., 2018</xref>). A model of this kind is developed here within the GT-Power environment, with reference to a real cogenerative engine designed to operate under NG fueling, in order to virtually characterize this retrofitting option for already installed systems.</p>
<p>A more comprehensive summary of the main experimental and numerical studies conducted for hydrogen&#x2013;natural gas blend fueling of ICEs is first introduced in the subsequent section, with emphasis on SI reciprocating engine applications. This is then followed by a description of the numerical model proposed here, as validated on available technical data. The main novelty of the present study relies on the characterization of the engine performances when fueled with different hydrogen&#x2013;NG blends by virtue of an original predictive approach able to correctly reproduce the blend combustion speed within the engine combustion chamber, according to the actual volumetric fractions of the components of the mixture. Engine performances are analyzed with the aim of assessing the suitability of several hydrogen&#x2013;NG blends by varying the spark advance, the air-to-fuel ratio, and the hydrogen fraction. Lastly, an optimization study is conducted in order to identify the optimal condition in which the engine is characterized by the highest power production with the minimum fuel consumption and related environmental impact.</p>
<p>The achieved results provide guidelines for optimization according to the user&#x2019;s energetic demand, giving particular attention to the environmental impact of the engine in terms of noxious emissions and to the structural limits of the system, these lasts identified by keeping the derivative of pressure within coherent limits with those assumed by the original manufacturer.</p>
</sec>
<sec id="s2">
<title>State of the Art of Hydrogen&#x2013;NG-Fueled SI Engines</title>
<p>This section gives a look over the main experimental and numerical studies focused on the analysis of the performances of hydrogen&#x2013;NG-fueled SI engines.</p>
<p>Several already existing studies in the literature give comprehensive reviews dealing with hydrogen&#x2013;NG blends in SI engines. The first efforts are attributed to <xref ref-type="bibr" rid="B28">Nagalingam et&#x20;al. (1983)</xref>, where experiments on the performance and emission characteristics of a research engine fueled by various blends with hydrogen content were conducted. Later, <xref ref-type="bibr" rid="B34">Swain et&#x20;al. (1993)</xref> tested a 20% H<sub>2</sub>&#x2013;80% NG mixture over several SI research engines operating at different engine speeds and loads, registering an increase in the NOx and a reduction in the CO and UHC emissions, with a general increase in the flammability limits.</p>
<p>Higher percentages of hydrogen volume fraction were also tested by <xref ref-type="bibr" rid="B32">Sierens and Rosseel (1999)</xref>, suggesting the need to operate with an upper limit of the 20% fraction of hydrogen to guarantee a moderate increase in the NOx emissions below the imposed limits, while <xref ref-type="bibr" rid="B3">Bauer and Forest (2001)</xref> provided an optimum operative condition for a fuel mixture with 60% of hydrogen in volume.</p>
<p>It is also worth mentioning the work conducted by <xref ref-type="bibr" rid="B26">Mehra et&#x20;al. (2017)</xref>, where an overview over the technical approaches followed for hydrogen&#x2013;NG combustion optimization (such as lean-burn combustion, exhaust gas recirculation (EGR), and direct injection (DI) systems) is presented, together with numerical procedures as the quasidimensional models.</p>
<p>The several processes that can lead to NG and hydrogen production are summarized from both a technical and economical point of view in the review study of <xref ref-type="bibr" rid="B2">Alrazen and Ahmad (2018)</xref>, where the effects of hydrogen&#x2013;NG blends in SI engines are described with a closer look to the noxious emissions. The environmental impact of hydrogen&#x2013;NG-fueled engines is also largely discussed by <xref ref-type="bibr" rid="B40">Yan et&#x20;al. (2018)</xref>, together with a wide description of the influence of the hydrogen fraction over the individual thermochemical properties (LHV, autoignition temperature, flammability limits, and ignition delay) of the resulting blends.</p>
<p>As an overall guide to balance emissions and performances at different operative conditions, <xref ref-type="bibr" rid="B23">Ma et&#x20;al. (2010)</xref> recommended a mixture with 20% in volume of hydrogen while <xref ref-type="bibr" rid="B27">Moreno et&#x20;al. (2012)</xref> suggested using a 30% blend. These percentages are also advised by <xref ref-type="bibr" rid="B13">Flekiewicz et&#x20;al. (2012)</xref> to avoid abnormal phenomena as knocking in SI engines. Several authors (<xref ref-type="bibr" rid="B23">Ma et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B17">Hoekstra, Collier et&#x20;al., 1995</xref>; <xref ref-type="bibr" rid="B18">Huang, Wang et&#x20;al., 2007</xref>) investigated on hydrogen&#x2013;NG fueled engines operating with lean mixtures, achieving a significant extension of flammability limits and lower NOx emissions (40&#x2013;50%) with respect to natural&#x20;gas.</p>
<p>As already said, among the numerical simulations performed in this field, quasidimensional models are the most adopted ones due to their intrinsic flexibility and simplicity to predict the overall engine combustion and emission performances, despite the fact that no information can be achieved regarding the in-cylinder flow-field and thermochemical property evolution (<xref ref-type="bibr" rid="B24">Ma et&#x20;al., 2008</xref>; <xref ref-type="bibr" rid="B37">Verhelst and Sheppard, 2009</xref>; <xref ref-type="bibr" rid="B12">Djouadi and Bentahar, 2016</xref>). On the other hand, a high detailed characterization of the internal flow-field may derive from high-computational approaches such as computational fluid dynamics (CFD) models, although heavy burdening of the computational time is required (<xref ref-type="bibr" rid="B41">Zaker et&#x20;al., 2015</xref>; <xref ref-type="bibr" rid="B9">Costa and Piazzullo, 2018</xref>).</p>
<p>A good compromise solution between these two approaches is represented by monodimensional (1D) models, where the Navier&#x2013;Stokes equations are solved in a monodimensional discretization and the combustion and pollutant emission formation is predicted through suitable and validated submodels based on empirical correlations. Among these approaches, it is worth mentioning the work of <xref ref-type="bibr" rid="B25">Mariani et&#x20;al. (2012)</xref> that studied the performances and emissions of a SI ICE fueled by NG&#x2013;hydrogen blends under a stoichiometric condition in order to assure an efficient exhaust after treatment adopting a three-way catalyst, while <xref ref-type="bibr" rid="B19">Kamil and Rahman (2015)</xref> studied the effects of hydrogen&#x2013;NG blends on a single-cylinder port injection engine.</p>
<p>In general, the exploitation of hydrogen&#x2013;NG blends in ICEs has proven valuable to improve thermal efficiency and to produce less noxious emissions. The challenge of parameter optimization still needs to be faced, especially for ultralean mixture conditions. The developed formulation based on a 0&#x2013;1D approach is here proposed to find a relationship helping to calibrate the engine as based on the hydrogen fraction in the blend, this last being a mandatory aspect poorly discussed in the literature if cogenerative applications have to be considered (<xref ref-type="bibr" rid="B2">Alrazen and Ahman, 2018</xref>).</p>
</sec>
<sec id="s3">
<title>Engine Model Development and Validation Under NG Fueling</title>
<p>The proposed numerical model is developed with reference to the Jenbacher JMS 420 engine, of the type-4 class, employed for lean-burn cogenerative purposes under NG fueling and characterized by a high power density and outstanding efficiency. The engine is equipped with an ABB TPS 52-F32 turbocharger, while a bypass circuit serves, downstream of the compressor, to the regulation of the output power and as a protection device (<xref ref-type="bibr" rid="B8">Chvatal et&#x20;al., 1997</xref>). The main geometrical characteristics and operative conditions are reported in <xref ref-type="table" rid="T2">Table&#x20;2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Main characteristics of the reference engine.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Operating cycle</th>
<th align="center">Otto (controlled ignition), 4 strokes</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">N&#xb0; cylinders</td>
<td align="center">20</td>
</tr>
<tr>
<td align="left">Cylinder arrangement</td>
<td align="center">V70&#xb0;</td>
</tr>
<tr>
<td align="left">Bore (mm)</td>
<td align="center">145</td>
</tr>
<tr>
<td align="left">Stroke (mm)</td>
<td align="center">185</td>
</tr>
<tr>
<td align="left">Displacement (L)</td>
<td align="center">61.10</td>
</tr>
<tr>
<td align="left">Compression ratio</td>
<td align="center">12.5</td>
</tr>
<tr>
<td align="left">Engine speed (RPM)</td>
<td align="center">1,500</td>
</tr>
<tr>
<td align="left">Air-fuel equivalence ratio &#x3bb; (-)</td>
<td align="center">1.785</td>
</tr>
<tr>
<td align="left">Intake valve opening</td>
<td align="center">347&#xb0; after top dead center of firing (ATDCf)</td>
</tr>
<tr>
<td align="left">Intake valve closing</td>
<td align="center">110&#xb0; before top dead center of firing (BTDCf)</td>
</tr>
<tr>
<td align="left">Exhaust valve opening</td>
<td align="center">105&#xb0; after top dead center of firing (ATDCf)</td>
</tr>
<tr>
<td align="left">Exhaust valve closing</td>
<td align="center">380&#xb0; after top dead center of firing (ATDCf)</td>
</tr>
<tr>
<td align="left">Intake valve diameter (mm)</td>
<td align="center">72</td>
</tr>
<tr>
<td align="left">Exhaust valve diameter (mm)</td>
<td align="center">60</td>
</tr>
<tr>
<td align="left">Intake valve maximum lift (mm)</td>
<td align="center">13.55</td>
</tr>
<tr>
<td align="left">Exhaust valve maximum lift (mm)</td>
<td align="center">14.25</td>
</tr>
<tr>
<td align="left">Spark timing (deg)</td>
<td align="center">24&#xb0; before top dead center (BTDC)</td>
</tr>
<tr>
<td align="left">Electric power (kW)</td>
<td align="center">1,500</td>
</tr>
<tr>
<td align="left">Fuel</td>
<td align="center">Natural gas</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The engine performances under NG and hydrogen&#x2013;NG fueling are evaluated through a 0&#x2013;1D numerical model developed within the GT-Power&#x2122; (<xref ref-type="bibr" rid="B14">Gtisoft Website, 2021</xref>) environment. The model solves the Navier&#x2013;Stokes equations in a one-dimensional framework; thus, all quantities are averaged on pipe sections and are assumed as changing only along the flow. Pipes and flow splits are discretized into subvolumes, to better approximate every bend or restriction. In each volume, scalar variables as pressure and temperature are assumed to be uniform, while vector variables are calculated at each boundary. All the engine components are modeled, from the intake to the exhaust ducts, the throttle, the valves, and the cylinders, whose geometrical properties are attained from an available CAD model of the engine. The engine model representation is shown in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>, where the presence of a wastegate valve is also clearly visible. This makes for a correct turbomatching between the compressor and the turbine and serves to regulate the maximum attainable boost pressure under each operative condition.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Scheme of the engine modeled in GT-Power&#x2122;.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g001.tif"/>
</fig>
<p>The air compressor is modeled by relying on the similar ABB TPS 57-D compressor whose map is available in the literature (<xref ref-type="bibr" rid="B1">ABB Website, 2021</xref>), while the turbine performances are simulated by relying on the operative map available in the software after a proper tuning of the relevant mass flow&#x20;rates.</p>
<p>The combustion phase is modeled through the predictive model named &#x201c;<italic>EngCylCombSITurb</italic>&#x201d; (<xref ref-type="bibr" rid="B15">Hernandez et&#x20;al., 2005</xref>). This approach is preferred to the classical Wiebe function (<xref ref-type="bibr" rid="B16">Heywood, 1988</xref>), where the fuel burned mass fraction is defined through a sigmoid-like function, as this last is validated for traditional fuels but it fails for nontraditional ones as for hydrogen&#x2013;NG blends, whose chemical characteristics and combustion behavior depend upon the volumetric fractions of the components (<xref ref-type="bibr" rid="B6">Caputo et&#x20;al., 2018</xref>; <xref ref-type="bibr" rid="B5">Caputo et&#x20;al., 2019</xref>).</p>
<p>The adopted model calculates the laminar speed through the following expression:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mi>S</mml:mi>
<mml:mi>L</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
<mml:msup>
<mml:mrow>
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<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi>&#x3c6;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>u</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>&#x3b1;</mml:mi>
</mml:msup>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>p</mml:mi>
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
</mml:msup>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where<list list-type="simple">
<list-item>
<p>&#x2022; <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the maximum laminar flame speed at reference conditions (T<sub>ref</sub> &#x3d; 300&#xa0;K and P<sub>ref</sub> &#x3d; 1&#xa0;bar)</p>
</list-item>
<list-item>
<p>&#x2022; <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mi>&#x3c6;</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a parameter that indicates the decay profile of the flame speed from its maximum value as a function of the equivalence&#x20;ratio</p>
</list-item>
<list-item>
<p>&#x2022; <inline-formula id="inf3">
<mml:math id="m4">
<mml:mi>&#x3c6;</mml:mi>
</mml:math>
</inline-formula> is the equivalence&#x20;ratio</p>
</list-item>
<list-item>
<p>&#x2022; <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c6;</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the equivalence ratio relative to&#x20;<inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi>B</mml:mi>
<mml:mi>m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</p>
</list-item>
<list-item>
<p>&#x2022; <inline-formula id="inf6">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>u</mml:mi>
</mml:msub>
<mml:mo>&#xa0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>is the temperature of the unburned&#x20;gases</p>
</list-item>
<list-item>
<p>&#x2022; <italic>&#x3b1;</italic> is a parameter expressing the dependency of the laminar speed with the temperature compared to the reference conditions</p>
</list-item>
<list-item>
<p>&#x2022; <italic>&#x3b2;</italic> depends upon the equivalence ratio and is an indicator of the decrease in speed with pressure</p>
</list-item>
</list>
</p>
<p>These parameters are already tuned and listed for different traditional fuels as methane in the GT-Power&#x2122; library, but not for hydrogen&#x2013;methane mixtures. Therefore, these parameters are here calculated for each mixture within the Chemkin&#x2122; environment by relying on the detailed kinetic mechanism Gri-Mech 3.0 (<xref ref-type="bibr" rid="B33">Smith et&#x20;al., 1999</xref>), so as to build a more customized combustion model as the hydrogen fraction varies in the fuel mixture. The validation of this approach was previously performed by <xref ref-type="bibr" rid="B5">Caputo et&#x20;al., 2019</xref>, with reference to a ternary mixture of H<sub>2</sub>&#x2013;CH<sub>4</sub>&#x2013;CO with respect to experimental measurements under reference conditions. <xref ref-type="fig" rid="F2">Figure&#x20;2</xref> reports the calculated laminar flame speed as a function of the equivalence ratio for NG, hydrogen, and three blends of hydrogen&#x2013;NG (hydrogen volume fraction at 10, 20, and 30%) at standard pressure and temperature and by varying the fuel&#x2013;air equivalence ratio. Increasing the hydrogen percentage in the fuel blend obviously leads to higher laminar flame speeds and moves the maximum value of the bell-shaped curve toward fuel-richer mixtures. Lastly, in the engine model, the wall heat transfer phenomenon is described through the work of <xref ref-type="bibr" rid="B39">Woschni (1967)</xref>, while Zel&#x2019;dovich&#x2019;s chemical mechanism <xref ref-type="bibr" rid="B42">Zeldovich et al. (1947)</xref> is adopted for the prediction of the NO<sub>x</sub> emissions.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Calculated laminar speeds of NG, hydrogen, and hydrogen&#x2013;NG blends as a function of the equivalence ratio at standard conditions; <bold>(B)</bold> detail for NG and hydrogen&#x2013;NG blends.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g002.tif"/>
</fig>
<p>Model validation is performed under NG fueling at the steady-state condition under full and 75% load by comparing the datasheet brake power, brake efficiency, fuel and the mixture mass flow rate, brake specific fuel consumption (BSFC), and brake mean effective pressure (BMEP) of the real engine under study with the results achieved by the model. The simulations under both loads are conducted after a proper regulation of the throttle valve angle aimed at achieving the desired power. The imposed initial and boundary conditions are shown in <xref ref-type="table" rid="T3">Table&#x20;3</xref>.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Imposed initial and boundary conditions.</p>
</caption>
<table>
<tbody valign="top">
<tr>
<td align="left">Cylinder temperature (K)</td>
<td align="center">480</td>
</tr>
<tr>
<td align="left">Chamber temperature (K)</td>
<td align="center">570</td>
</tr>
<tr>
<td align="left">Piston temperature (K)</td>
<td align="center">600</td>
</tr>
<tr>
<td align="left">Intake duct temperatures (K)</td>
<td align="center">330&#x2013;450</td>
</tr>
<tr>
<td align="left">Exhaust duct temperatures (K)</td>
<td align="center">600&#x2013;900</td>
</tr>
<tr>
<td align="left">Inlet pressure (bar)</td>
<td align="center">1.04</td>
</tr>
<tr>
<td align="left">Inlet temperature (K)</td>
<td align="center">300</td>
</tr>
<tr>
<td align="left">Outlet pressure (bar)</td>
<td align="center">1.00</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The comparison between the datasheet and calculated results under both loads is reported in <xref ref-type="table" rid="T4">Table&#x20;4</xref>. The brake efficiency is evaluated as the ratio of the brake power and the primary power, this last obtained by multiplying the fuel mass flow rate by the lower heating value of NG. The results can be said to have good agreement, as a maximum absolute error slightly below the 2% can be noticed for the brake efficiency at the 75% load case, as derived from a numerical overprediction of the total mixture mass flow&#x20;rate.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Comparison between the datasheet and calculated values of the main operative parameters (SOS &#x3d; 24&#xb0; BTDC and &#x3bb; &#x3d; 1.785).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th colspan="3" align="center">Full load</th>
<th colspan="3" align="center">75% load</th>
</tr>
<tr>
<th align="left"/>
<th align="center">Datasheet</th>
<th align="center">Model</th>
<th align="center">Error (%)</th>
<th align="center">Datasheet</th>
<th align="center">Model</th>
<th align="center">Error (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Fuel mass flow rate (kg/h)</td>
<td align="char" char=".">269.6</td>
<td align="char" char=".">272</td>
<td align="char" char=".">
<bold>0.74</bold>
</td>
<td align="char" char=".">207.3</td>
<td align="char" char=".">205.6</td>
<td align="char" char=".">&#x2212;<bold>0.82</bold>
</td>
</tr>
<tr>
<td align="left">Total mixture mass flow rate (kg/h)</td>
<td align="char" char=".">8,520</td>
<td align="char" char=".">8,479.5</td>
<td align="char" char=".">&#x2212;<bold>0.48</bold>
</td>
<td align="char" char=".">6,356</td>
<td align="char" char=".">6,400</td>
<td align="char" char=".">
<bold>0.78</bold>
</td>
</tr>
<tr>
<td align="left">Brake power (kW)</td>
<td align="char" char=".">1,596</td>
<td align="char" char=".">1,600</td>
<td align="char" char=".">
<bold>0.19</bold>
</td>
<td align="char" char=".">1,155</td>
<td align="char" char=".">1,146</td>
<td align="char" char=".">&#x2212;<bold>0.77</bold>
</td>
</tr>
<tr>
<td align="left">Brake efficiency (%)</td>
<td align="char" char=".">42.8</td>
<td align="char" char=".">42.6</td>
<td align="char" char=".">&#x2212;<bold>0.47</bold>
</td>
<td align="char" char=".">41.7</td>
<td align="char" char=".">41.1</td>
<td align="char" char=".">&#x2212;<bold>1.44</bold>
</td>
</tr>
<tr>
<td align="left">BMEP (bar)</td>
<td align="char" char=".">20.17</td>
<td align="char" char=".">20.2</td>
<td align="char" char=".">
<bold>0.15</bold>
</td>
<td align="char" char=".">15.1</td>
<td align="char" char=".">14.8</td>
<td align="char" char=".">&#x2212;<bold>1.98</bold>
</td>
</tr>
<tr>
<td align="left">BSFC (g/kWh)</td>
<td align="char" char=".">175</td>
<td align="char" char=".">175.4</td>
<td align="char" char=".">
<bold>0.27</bold>
</td>
<td align="char" char=".">179.5</td>
<td align="char" char=".">179.3</td>
<td align="char" char=".">&#x2212;<bold>0.11</bold>
</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<p>The maximum absolute error, which represent the percentual variation with respect the datasheet value.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The brake efficiency of the considered engine is very high due to the lean operation and supercharging as for the new-generation cogenerative engines by the main current original equipment manufacturers (OEMs).</p>
</sec>
<sec id="s4">
<title>Numerical Simulations of the Engine Under Hydrogen&#x2013;NG Blend Fueling</title>
<p>The feasibility of using hydrogen&#x2013;NG blends is evaluated by replacing NG with increasing percentages of hydrogen, in a range between 10 and 30% by volume. Properties of each blend are shown in <xref ref-type="table" rid="T5">Table&#x20;5</xref> in terms of density, stoichiometric air-to-fuel, and LHV. A parametric analysis is performed for each blend by varying the spark timing and air-to-fuel ratio in order to study the influence of these parameters over the engine efficiency, the combustion characteristics, and the formation of noxious emissions.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Main physicochemical properties of blends obtained by increasing the volumetric percentage of hydrogen.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Density (kg/m<sup>3</sup>)</th>
<th align="center">Stoichiometric air-to-fuel ratio (-)</th>
<th align="center">LHV (MJ/kg)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">NG</td>
<td align="char" char=".">0.71</td>
<td align="char" char=".">16.96</td>
<td align="char" char=".">49.63</td>
</tr>
<tr>
<td align="left">H10&#x2013;NG</td>
<td align="char" char=".">0.65</td>
<td align="char" char=".">17.19</td>
<td align="char" char=".">50.60</td>
</tr>
<tr>
<td align="left">H15&#x2013;NG</td>
<td align="char" char=".">0.62</td>
<td align="char" char=".">17.29</td>
<td align="char" char=".">50.98</td>
</tr>
<tr>
<td align="left">H20&#x2013;NG</td>
<td align="char" char=".">0.59</td>
<td align="char" char=".">17.40</td>
<td align="char" char=".">51.41</td>
</tr>
<tr>
<td align="left">H25&#x2013;NG</td>
<td align="char" char=".">0.56</td>
<td align="char" char=".">17.51</td>
<td align="char" char=".">51.84</td>
</tr>
<tr>
<td align="left">H30&#x2013;NG</td>
<td align="char" char=".">0.52</td>
<td align="char" char=".">17.61</td>
<td align="char" char=".">52.26</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s4-1">
<title>Parametric Analysis As a Function of the Air-to-Fuel Ratio</title>
<p>The air-to-fuel ratio is varied between 1.75, 1.785, and 1.82 at a fixed spark timing equal to 24&#xb0; BTDC under full-load operation. As shown in <xref ref-type="fig" rid="F3">Figure&#x20;3A</xref>, an increase of the fuel primary power with increasing percentages of hydrogen can be noticed up to a 20% volumetric percentage, as mainly related to the increase in the LHV of the mixture (<xref ref-type="table" rid="T5">Table&#x20;5</xref>). For greater hydrogen amounts, the reduction of the blend density (<xref ref-type="table" rid="T5">Table&#x20;5</xref>) and the fuel mass flow rate, this last shown in <xref ref-type="fig" rid="F3">Figure&#x20;3B</xref>, becomes dominant, with a general decrease of the primary power related to the mixture trapped within the combustion chamber. The related engine volumetric efficiency shown in <xref ref-type="fig" rid="F3">Figure&#x20;3C</xref> is a result of the engine response to blends characterized by increased hydrogen fractions and as resulting from the specific turbine&#x2013;compressor matching for each case. The primary power obviously also increases with lower values of the air-to-fuel ratio regardless of the considered hydrogen fraction.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> Fuel primary power, <bold>(B)</bold> fuel mass flow rate, and <bold>(C)</bold> volumetric efficiency at different hydrogen volumetric percentages and air-to-fuel ratios and spark timing equal to 24&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g003.tif"/>
</fig>
<p>The trend of the produced brake power shown in <xref ref-type="fig" rid="F4">Figure&#x20;4A</xref>, therefore, is to be intended a consequence of the combined effects related to the evolution of the volumetric efficiency and the fuel mass flow rate. A maximum power gain equal to the 13% with respect to the baseline NG operative condition is achieved at the highest air-to-fuel ratio being considered (<italic>&#x3bb;</italic> &#x3d; 1.75) and for a hydrogen fraction equal to the 20%. Increasing percentages of hydrogen up to the 20% results in enhanced brake powers due to faster combustion and, thus, higher peaks of pressure. This circumstance, indeed, can be appreciated by looking at <xref ref-type="fig" rid="F4">Figures 4B,C</xref>, where the combustion duration and the pressure peaks are reported. The combustion duration is intended as the crank angle difference between the angle where the 90% of the mixture is burned and that corresponding to a 10% burned fraction. The pressure peaks also shift towards the TDC, as shown by the peak angle &#x3b8;<sub>peak</sub> in <xref ref-type="fig" rid="F4">Figure&#x20;4D</xref>; thus, for hydrogen fractions higher than 20%, both the primary energy exploited during the expansion phase and the resulting brake power reduce.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Engine power produced, <bold>(B)</bold> combustion duration, <bold>(C)</bold> pressure peaks, and <bold>(D)</bold> peak of pressure angles at different hydrogen volumetric percentages in the blend and air-to-fuel ratios and spark timing equal to 24&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g004.tif"/>
</fig>
<p>Despite the combined effects of less-exploitable primary fuel power and reduced net power delivered to the piston during the expansion phase for mixtures with more than the 20% volume fraction of hydrogen, an overall boost of the engine brake efficiency and a decrease of the BSFC can be noticed as the hydrogen percentage increases. The trend of these variables is shown in <xref ref-type="fig" rid="F5">Figures&#x20;5A,B</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> Engine brake efficiency, <bold>(B)</bold> BSFC, <bold>(C)</bold> engine exhaust efficiency, and <bold>(D)</bold> engine total efficiency at different hydrogen volumetric percentages and air-to-fuel ratios and spark timing equal to 24&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g005.tif"/>
</fig>
<p>On the other hand, the efficiency related to the exploitation of the enthalpy of the exhaust gases decreases as the hydrogen fraction increases. Indeed, as shown in <xref ref-type="fig" rid="F4">Figures 4C,D</xref>, higher peaks of pressure and shorter combustion durations lead to lower temperatures at the exhaust, with an overall reduction in the related efficiency (<xref ref-type="fig" rid="F5">Figure&#x20;5C</xref>). It is worth noticing the tradeoff occurring for a <italic>&#x3bb;</italic> equal to 1.75, as the highest brake efficiency and the lowest exhaust efficiency are, respectively, achieved. Lastly, the descending trend of the total efficiency, here considered as the sum of the brake and exhaust efficiencies, with the hydrogen fraction is shown in <xref ref-type="fig" rid="F5">Figure&#x20;5D</xref>.</p>
<p>The enhancement of the brake efficiency with the hydrogen fraction also influences the pollutant emitted. Indeed, despite the lower power produced at the highest hydrogen fraction in the blend (30%), higher flame speed and faster combustion phases have a direct influence over the reduction of the UHC emitted at the exhaust. These are shown in <xref ref-type="fig" rid="F6">Figure&#x20;6A</xref>. However, the higher pressures, and, thus, higher temperatures, achieved also influence the formation of the NO<sub>x</sub>, in accordance with the Zeldovich mechanism adopted, as can be seen in <xref ref-type="fig" rid="F6">Figure&#x20;6B</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> UHC and <bold>(B)</bold> NOx emitted at the engine exhaust at different hydrogen volumetric percentages and air-to-fuel ratios and spark timing equal to 24&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g006.tif"/>
</fig>
<p>Lastly, when the engine operates at leaner air-to-fuel ratios, the in-cylinder flame propagation speed decreases and, consequently, the combustion duration increases, leading to retarded and lower peaks of pressure and deteriorated conversion efficiencies. Therefore, the amount of UHC produced increases, while the overall NO<sub>x</sub> formation falls. However, it must be noticed from <xref ref-type="fig" rid="F5">Figure&#x20;5A</xref> that the influence of the increase in the hydrogen fraction over the engine performances at leaner mixtures is generally more effective, as the brake efficiency at <italic>&#x3bb;</italic> &#x3d; 1.82 increases of the 4.5% with respect to the 2.1% when <italic>&#x3bb;</italic> &#x3d;&#x20;1.75.</p>
</sec>
<sec id="s4-2">
<title>Parametric Analysis As a Function of the Spark Timing</title>
<p>The analysis of the engine performances is here performed by varying the spark timing between 18&#xb0;, 21&#xb0;, 24&#xb0;, and 27&#xb0; BTDC at an air-to-fuel ratio equal to&#x20;1.785.</p>
<p>The effects on the evolution of the fuel primary power and of the fuel mass flow rate as the spark timing varies are shown, respectively, in <xref ref-type="fig" rid="F7">Figures 7A,B</xref>. As the start of spark (SOS) changes, the combustion phase, the exhaust gas enthalpy, and the subsequent operative conditions at which the turbocharger operates also vary. Indeed, as the spark timing is anticipated, lower pressure and temperature values are achieved upstream of the turbine and, thus, less power is requested for the expansion phase. The boost power resulting from the matching compressor also reduces, with a net side effect on the mixture mass flow rate undergoing the engine operative cycle and, thus, of the volumetric efficiency (<xref ref-type="fig" rid="F7">Figure&#x20;7C</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> Fuel primary power, <bold>(B)</bold> fuel mass flow rate, and <bold>(C)</bold> volumetric efficiency at different hydrogen volumetric percentages and spark timings and lambda equal to 24&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g007.tif"/>
</fig>
<p>The parabolic evolution of the fuel mass flow rate and primary energy with the increase in the hydrogen fraction was already discussed in the previous section. The brake power produced is shown in <xref ref-type="fig" rid="F8">Figure&#x20;8A</xref>. It also reduces by anticipating the spark timing. However, for hydrogen fractions between 10 and 20%, a maximum relative at an SOS of 21&#xb0; BTDC is achieved.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<bold>(A)</bold> Engine power produced, <bold>(B)</bold> combustion duration, <bold>(C)</bold> pressure peaks, and <bold>(D)</bold> peak of pressure angles at different hydrogen volumetric percentages and spark timings and lambda equal to 24&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g008.tif"/>
</fig>
<p>As the spark timing shifts towards the TDC, longer combustion phases are determined as shown in <xref ref-type="fig" rid="F8">Figure&#x20;8B</xref>, while <xref ref-type="fig" rid="F8">Figures 8C,D</xref> show how the pressure cycles are characterized by lower and delayed peak values.</p>
<p>Despite the lower brake power produced by the engine as the SOS anticipates, an enhancement of the brake efficiency reported in <xref ref-type="fig" rid="F9">Figure&#x20;9A</xref> and a reduction of the BSFC in <xref ref-type="fig" rid="F9">Figure&#x20;9B</xref> can be noticed. The explanation again lies in the shorter duration of the combustion process, which results in a faster and more complete oxidation of the trapped fuel. However, the lower temperature achieved at the exhaust when anticipating the SOS again results in a reduction of the related exhaust efficiency, as shown in <xref ref-type="fig" rid="F9">Figure&#x20;9C</xref>. The minimum of the engine total efficiency shown in <xref ref-type="fig" rid="F9">Figure&#x20;9D</xref> is indeed achieved for an SOS of 27&#xb0;&#x20;BTDC.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>
<bold>(A)</bold> Engine brake efficiency, <bold>(B)</bold> BSFC, <bold>(C)</bold> engine exhaust efficiency, and <bold>(D)</bold> engine total efficiency at different hydrogen volumetric percentages and spark timings and lambda equal to 24&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g009.tif"/>
</fig>
<p>Lastly, a direct reduction of the UHC emitted at the exhaust is again achieved as shown in <xref ref-type="fig" rid="F10">Figure&#x20;10A</xref>, but the higher heat release and pressure during the combustion phase also determine an enhanced formation of NO<sub>x</sub>, as can be appreciated by looking at <xref ref-type="fig" rid="F10">Figure&#x20;10B</xref>.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>
<bold>(A)</bold> UHC and <bold>(B)</bold> NOx emitted at the engine exhaust at different hydrogen volumetric percentages and spark timings and lambda equal to 24&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g010.tif"/>
</fig>
</sec>
<sec id="s4-3">
<title>Engine Performance Optimization</title>
<p>The parametric analysis conducted in the previous sections helped highlighting the quantitative influence of the spark timing, the air-to-fuel ratio, and the hydrogen fraction over the performances and environmental impact of the considered cogenerative engine under hydrogen&#x2013;NG blend fueling.</p>
<p>The present section is dedicated to the solution of an optimization problem aimed at finding the condition of engine operation resulting the best in terms of power production with the minimum fuel consumption and related environmental impact.</p>
<p>The problem being considered, into more detail, is the&#x20;optimization of the engine power output and the minimization of the BSFC, NOx, and UHC emissions. The genetic algorithm NSGA-II (nondominated sorting genetic algorithm&#x2013;II) is here chosen as suitable to deal with multiobjective optimization problems (<xref ref-type="bibr" rid="B10">Costa et&#x20;al., 2019</xref>). The initial design of experiments (DOE) is composed of 40 operative conditions, generated through a quasirandom uniform Sobol sequence in a range of variation of <italic>&#x3bb;</italic> being between 1.75 and 1.82, a spark timing comprised between 18&#xb0; BTDC and 27&#xb0; BTDC, and a hydrogen volumetric fraction in the blend being between 0 and 30%. The total number of evaluated designs is 200 over a period of time of 36&#xa0;h parallelized over 4 CPUs @3.30&#xa0;GHz.</p>
<p>Between the operative conditions analyzed by the optimization procedure, those corresponding to pressure cycles that are prohibitive for the structural limits of the system must be discarded. Indeed, the excessive pressure rise and the risk of an incipient knocking regime for high-load operation must be considered, which increases as the hydrogen fraction increases, due to the influence of this species on the combustion speed (<xref ref-type="fig" rid="F2">Figure&#x20;2</xref>) which results in a faster rate of heat release by the mixture trapped within the combustion chamber. The maximum derivative of pressure (MDP), equal to the maximum value of the derivative of the pressure cycle over the crank angle, is here considered as it correlates very well with the well-known maximum amplitude of pressure oscillation (MAPO) indicator (<xref ref-type="bibr" rid="B22">Lounici et&#x20;al., 2017</xref>). In the literature, authors generally refer to an MDP value between 3 and 3.5&#xa0;bar/deg as the knocking limit (<xref ref-type="bibr" rid="B4">Boccardi et&#x20;al., 2016</xref>) for light-duty spark ignition engines. However, with reference to the baseline operative case assumed here (SOS of 24&#xb0; BTDC and a <italic>&#x3bb;</italic> of 1.785) in which the real engine runs under NG fueling, the MDP results equal to 5.7&#xa0;bar/deg that can indeed be considered an admissible limit in the case of steady cogenerative engines. This value is here considered as the higher limit, as referring to a condition in which a real commercially available engine operates without problems of excessive solicitations related to abnormal combustion processes.</p>
<p>As a matter of fact, with respect to the reference case where the engine is fueled by only NG at an SOS of 24&#xb0; BTDC and a <italic>&#x3bb;</italic> of 1.785, the solutions individuated by the parametric analysis performed in the previous sections and characterized by more anticipated SOS or richer air-to-fuel ratios must surely be discarded, as the related MDP overwhelms the imposed limit due to the faster rate of pressure rise, despite the hydrogen fraction considered. An analogous reasoning can be made for the operative cases under H<sub>2</sub>&#x2013;NG fueling characterized by an SOS of 24&#xb0;, as the hydrogen addiction enhances the combustion speed. As concerns the remaining cases studied within the parametric analysis, <xref ref-type="table" rid="T6">Table&#x20;6</xref> reports the percent variations of the BSFC, NOx, and UHC emitted and of the brake power produced by the engine with respect to the baseline condition under NG fueling. Each cell in the table is colored in shades of green and red according to the relevant variation.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Percent variation of the BSFC, NOx, and UHC emitted and brake power produced by the engine in different configurations with respect to the baseline case under NG fueling.</p>
</caption>
<table>
<tbody>
<tr>
<td>
<inline-graphic xlink:href="fmech-07-680193-fx1.tif"/>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>An increase in the produced brake power is always achieved for the engine operative cases at an air-to-fuel ratio of 1.785 and different SOS. However, these conditions are always counterbalanced by an increase in the pollutant emissions produced or by an increase in the BSFC. On the other hand, if a shift towards leaner air-to-fuel ratios, as 1.82, is considered, along with a proper tuning of the SOS with the H<sub>2</sub> fraction in the blend, the best performances with respect to the baseline condition can be guaranteed in each aspect. Therefore, it is expected that the optimal condition evaluated by the optimization procedure should point towards leaner engine operations.</p>
<p>The results of the optimization procedure are shown in <xref ref-type="fig" rid="F11">Figure&#x20;11</xref> in a parallel chart. Among the optimal cases individuated by the algorithm, the ones which, at the same time, guarantee higher brake power produced and lower BSFC and emitted NOx and UHC, without burdening the structural limits of the system, are cases 27 and 196, whose characteristics are also summarized in <xref ref-type="table" rid="T7">Table&#x20;7</xref>. As expected, both conditions refer to operative conditions shifted towards leaner air-to-fuel ratios. A maximum of 24% of volume hydrogen fraction in the blend can be reached if the SOS is slightly retarded up to 20.5&#xb0; BTDC. However, the NOx amount produced in this case is equal to the one characterizing the reference case under only NG fueling; thus, further increases in the hydrogen fraction are not allowed.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Parallel chart of the 200 operative cases analyzed by the optimization algorithm. The optimal conditions are enlightened in bold&#x20;blue.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g011.tif"/>
</fig>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Comparison between the performances of the studied engine under the reference case (only NG fueling) with the cases evaluated by the optimization procedure.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">H<sub>2</sub> fraction (v/v %)</th>
<th align="center">Lambda (-)</th>
<th align="center">SOS (&#xb0; BTDC)</th>
<th align="center">Brake power (kW)</th>
<th align="center">BSFC (g/kWh)</th>
<th align="center">NOx (ppm)</th>
<th align="center">UHC (ppm)</th>
<th align="center">MDP (bar/deg)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Reference</td>
<td align="char" char=".">0</td>
<td align="char" char=".">1.785</td>
<td align="char" char=".">24</td>
<td align="char" char=".">1,596</td>
<td align="char" char=".">175.3</td>
<td align="char" char=".">121.8</td>
<td align="char" char=".">404.9</td>
<td align="char" char=".">5.7</td>
</tr>
<tr>
<td align="left">Case 27</td>
<td align="char" char=".">24</td>
<td align="char" char=".">1.82</td>
<td align="char" char=".">20.5</td>
<td align="char" char=".">1712</td>
<td align="char" char=".">166.7</td>
<td align="char" char=".">121.7</td>
<td align="char" char=".">395.6</td>
<td align="char" char=".">4.6</td>
</tr>
<tr>
<td align="left">Case 196</td>
<td align="char" char=".">15</td>
<td align="char" char=".">1.82</td>
<td align="char" char=".">24</td>
<td align="char" char=".">1,652.5</td>
<td align="char" char=".">170.1</td>
<td align="char" char=".">105.2</td>
<td align="char" char=".">402.4</td>
<td align="char" char=".">4</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Lastly, the 200 operative cases analyzed by the optimization algorithm are also interpolated by employing the regression Kriging algorithm by using a Gaussian variogram, as it provides good linear assumptions of the analyzed values (<xref ref-type="bibr" rid="B36">Vel&#xe1;squez et&#x20;al., 2017</xref>). <xref ref-type="fig" rid="F12">Figures 12</xref>&#x2013;<xref ref-type="fig" rid="F15">15</xref> better highlight the effects of each controlling variable on the engine performances, displaying the response surfaces, respectively, for the brake power, the BSFC, and the NOx and UHC emitted as a function of the hydrogen fraction and the air-to-fuel ratio at different spark timings. The results are consistent with the evolution trends depicted from the previously conducted parametric analysis.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Produced brake power at various spark timings: <bold>(A)</bold> 18&#xb0; BTDC, <bold>(B)</bold> 22&#xb0; BTDC, and <bold>(C)</bold> 27&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g012.tif"/>
</fig>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>BSFC at various spark timings: <bold>(A)</bold> 18&#xb0; BTDC, <bold>(B)</bold> 22&#xb0; BTDC, and <bold>(C)</bold> 27&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g013.tif"/>
</fig>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Emitted NOx at various spark timings: <bold>(A)</bold> 18&#xb0; BTDC, <bold>(B)</bold> 22&#xb0; BTDC, and <bold>(C)</bold> 27&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g014.tif"/>
</fig>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>Emitted UHC at various spark timings: <bold>(A)</bold> 18&#xb0; BTDC, <bold>(B)</bold> 22&#xb0; BTDC, and <bold>(C)</bold> 27&#xb0; BTDC.</p>
</caption>
<graphic xlink:href="fmech-07-680193-g015.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>A numerical model of a real turbocharged SI engine for cogenerative applications, developed in GT-Power environment, is presented here. The engine model is first validated under NG fueling, and then, its performances are&#x20;numerically evaluated by substituting a certain percentage of natural gas with hydrogen. A parametric analysis highlights the quantitative influence of the spark timing and the air-to-fuel ratio over the engine performances and noxious emission formation as the hydrogen fraction is varied.</p>
<p>The main results show that<list list-type="simple">
<list-item>
<p>&#x2022; higher amounts of hydrogen fractions in the hydrogen&#x2013;NG blend speed up the combustion propagation, determining higher and more anticipated pressure peaks. The combustion efficiencies and fuel consumptions enhance, but the formation of the NO<sub>x</sub> pollutants grows exponentially with the hydrogen fraction. A 20% of hydrogen fraction in the blend guarantees the highest brake power regardless of the air-to-fuel ratios and spark timing, as a further increase in the hydrogen fraction leads to reduced volumetric efficiencies.</p>
</list-item>
<list-item>
<p>&#x2022; on the other hand, the efficiency related to the exploitation of the enthalpy of the exhaust gases decreases as the hydrogen fraction increases, as higher peaks of pressure and shorter combustion durations lead to lower temperatures at the exhaust.</p>
</list-item>
<list-item>
<p>&#x2022; at leaner air-to-fuel ratios, the in-cylinder flame propagation speed decreases because of the lower amount of fuel trapped in the mixture, leading to retarded and lower peaks of pressure, reduced conversion efficiencies, and a lower NOx production. The influence of the hydrogen fraction over the engine performances at leaner mixtures is generally more effective.</p>
</list-item>
<list-item>
<p>&#x2022; the brake power reduces with anticipated spark timing, but a maximum is reached at an SOS of 21&#xb0; BTDC for hydrogen fractions between 10 and 20%. Despite this trend, an enhancement of the brake efficiency and a reduction of the BSFC are registered at anticipated SOS, but the higher heat release and pressure cycles during the combustion phase also determine an enhanced formation of&#x20;NO<sub>x</sub>.</p>
</list-item>
<list-item>
<p>&#x2022; the lower temperature achieved at the exhaust when anticipating the SOS results in a reduction of the related exhaust efficiency, with a minimum of the engine total efficiency for an SOS of 27&#xb0;&#x20;BTDC.</p>
</list-item>
</list>
</p>
<p>Lastly, an optimization procedure is carried out, aimed at individuating the best condition in which the engine operates with the maximum power output and the minimum BSFC, NOx, and UHC emissions without burdening the system with excessive solicitations. In summary, shifting to leaner air-to-fuel ratios is generally preferred to avoid rapid pressure rises, especially if the blend is characterized by a hydrogen fraction higher than&#x20;15%.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>MC: data curation, supervision, and writing&#x2014;review and editing. DP: conceptualization and writing&#x2014;original draft. AD: writing and editing.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of Interest</title>
<p>Author AD was employed by the company Grastim J.V.&#x20;S.r.l.</p>
<p>The remaining 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="disclaimer" id="s9">
<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>
<sec id="s10">
<title>Abbreviations</title>
<p>0D, zero dimensional; 1D, monodimensional; 3D, three dimensional; ATDC, after top dead center (deg); BMEP, brake mean effective pressure (bar); BSFC, brake specific fuel consumption (g/kWh); BTDC, before top dead center (deg); CFD, computational fluid dynamics; CH4, methane; CO, carbon monoxide; CO2, carbon dioxide; DI, direct injection; EGR, exhaust gas recirculation; GHG, green house gases; H2, hydrogen; HCNG, hydrogen-enriched compressed natural gas; ICE, internal combustion engine; LFS, laminar flame speed (m/s); LHV, lower heating value; MAPO, maximum amplitude of pressure oscillations; MBT, maximum break torque (N&#x2a;m); MDP, maximum derivative of pressure (bar/deg); NG, natural gas; NOx, nitrogen oxides; NTP, normal temperature and pressure; RPM, revolutions per minute; SI, spark ignition; SOS, start of spark (deg); TDC, top dead center (deg); and UHC, unburned hydrocarbons.</p>
</sec>
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