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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1666388</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2025.1666388</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Feasibility study on hybrid energy harvesting solution in rail transportation system</article-title>
<alt-title alt-title-type="left-running-head">Khan 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/fenrg.2025.1666388">10.3389/fenrg.2025.1666388</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Khan</surname>
<given-names>Abdul Moeed</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Akmurzina</surname>
<given-names>Kalamkas</given-names>
</name>
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<contrib contrib-type="author">
<name>
<surname>Bagheri</surname>
<given-names>Mehdi</given-names>
</name>
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<aff>
<institution>Department of Electrical and Computer Engineering, Nazarbayev University</institution>, <addr-line>Astana</addr-line>, <country>Kazakhstan</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/1758441/overview">Kashif Irshad</ext-link>, King Fahd University of Petroleum and Minerals, Saudi Arabia</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/3179727/overview">Chakrit Panpean</ext-link>, King Mongkut&#x2019;s University of Technology North Bangkok, Thailand</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3179819/overview">Samarendra Singh</ext-link>, Dr. Rammanohar Lohia Avadh University, India</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Abdul Moeed Khan, <email>abdulmoeed.khan@nu.edu.kz</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>11</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1666388</elocation-id>
<history>
<date date-type="received">
<day>15</day>
<month>07</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Khan, Akmurzina and Bagheri.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Khan, Akmurzina and Bagheri</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 terms.</p>
</license>
</permissions>
<abstract>
<p>Nowadays, given ecological concerns, including greenhouse gas (GHG) emissions and climate change, it is critical to look into environmentally friendly and sustainable energy sources (SES). This study examines the viability of using photovoltaic (PV) and micro wind turbine (WT) energy systems for hybrid energy (HE) harvesting in rail transportation systems. To meet the energy requirements of Kazakhstan&#x2019;s railway systems, this study investigates the importance of employing PV, WT, solar sleepers, and a battery energy storage system (BESS). The Talgo Tulpar passenger train traveling from Astana to Almaty has been selected for this study. The integration of solar sleepers over the rail track is also taken into consideration. This article proposes a strategic plan for the system&#x2019;s operating principles. The methodology involved examining three distinct cases: PV/WT/Grid (Case 1), PV/WT/BESS/Grid (Case 2), and PV/WT/BESS/Grid/Solar sleeper (Case 3). This system was mathematically modeled and simulated using a MATLAB algorithm. The major findings indicate that Case 1 achieves higher energy savings compared to Case 2, while Case 3 results in significantly greater savings than both Case 1 and Case 2. The results suggest considerable cost savings because less grid electricity is needed, which in turn leads to a reduced <inline-formula id="inf1">
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</abstract>
<kwd-group>
<kwd>railway power system</kwd>
<kwd>renewable energy</kwd>
<kwd>energy management system</kwd>
<kwd>photovoltaic</kwd>
<kwd>wind turbine</kwd>
<kwd>solar sleeper</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Sustainable Energy Systems</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>1 Introduction</title>
<p>Fossil fuels are used in many industries, including transportation, manufacturing, and energy generation, demonstrating their importance in today&#x2019;s world. As a result of their <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>CO</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
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</inline-formula> emissions, these activities cause serious environmental problems like air pollution and climate change. Therefore, the everyday use of transport networks is one of the primary variables determining <inline-formula id="inf3">
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<mml:mn>2</mml:mn>
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</mml:math>
</inline-formula> emissions. The transportation and energy supply sectors account for the largest share of greenhouse gas (GHG) emissions, accounting for around 28.3% and 25.3% of the total, respectively Krishnamoorthy et al. (2021). Furthermore, 29% of global energy consumption is attributable to the transport sector, which has grown significantly over the past few decades, according to the International Energy Agency (IEA) (<xref ref-type="bibr" rid="B12">Jia et al., 2020</xref>). The world&#x2019;s rapid economic expansion and increasing energy demand necessitate a shift toward green energy resources. Hybrid energy systems (HES) are being developed to make transportation systems more adaptable and eco-friendly, addressing environmental issues and the need for sustainable energy solutions. This transition from traditional sources is crucial for transportation            systems. HES, which combines various types of renewable energy resources (RESs), provides an optimal solution for developing sustainable energy (<xref ref-type="bibr" rid="B9">Gerlici et al., 2025</xref>).</p>
<p>One of the important avenues in the pursuit of efficient and sustainable mobility solutions is the use of RES in transportation networks. This is a crucial strategy for lowering fossil fuel consumption and the adverse environmental effects that electric vehicles (EVs) have on public transit systems. Electrified trains are thought to be the most automated, least polluting, and energy-efficient forms of transportation, according to <xref ref-type="bibr" rid="B2">Alshoufi et al. (2024)</xref>. Additionally, <xref ref-type="bibr" rid="B22">Teng et al. (2022)</xref> concur that the railway is often powered by electric energy, making it a low-carbon transit alternative among the many other means of transportation. Thus, building electric railroads is crucial to the nation&#x2019;s long-term, sustainable development. By reducing reliance on the primary grid, electrified rail transportation systems help to reduce energy use. Making the most of RES will help achieve this. One of the first photovoltaic (PV)-powered cars in history is named &#x201c;Sunmobile,&#x201d; which is tiny William Cobb designed the 38-cm General Motors vehicle in 1955 (<xref ref-type="bibr" rid="B3">Automostory, 2021</xref>). Several feasibility studies analyze the solar panels not only on top of the train but also how they might be deployed at train and metro stops. Examined the potential for solar energy generation in China&#x2019;s rail and road transportation systems. The authors examined the quantity of energy that can be produced by solar panels incorporated into China&#x2019;s rail and road transportation. Additionally, <xref ref-type="bibr" rid="B21">Stegenta et al. (2024)</xref> conducted a detailed analysis on the application of photovoltaic panels installed on the roofs and sidewalls of passenger train carriages. Their study demonstrated that such integration can significantly reduce electricity consumption by utilizing onboard renewable energy generation. The research also emphasized the importance of accounting for environmental factors such as shading and variable solar exposure, as well as the role of energy storage systems in addressing temporal mismatches between energy generation and demand. These findings highlight the potential of hybrid solar solutions in enhancing the energy efficiency and sustainability of modern railway transportation. In order to convert train infrastructure into a PV field, the Italian business Green Rail is also suggesting integrating solar panels. Since relying solely on one source is no longer essential, the integration of RES is growing considerably. About 300 stations in India use PV and wind turbine (WT) energy systems, which may be integrated with other sources to increase system dependability and efficiency (<xref ref-type="bibr" rid="B14">Kuznetsov et al., 2024</xref>).</p>
<p>One of the crucial phases in the creation of sustainable energy solutions is the installation of WT systems. Like solar energy systems, these items offer a sustainable and clean energy source that can significantly reduce GHG emissions. At the moment, PV energy systems and WT energy systems are being used in a growing number of businesses. Wind farms are among the most effective ways to use WT energy to power electric trains in the railway system. WT is crucial for sustainable energy solutions, providing clean RESs that significantly reduce GHG emissions. Wind farms are an efficient way to use WT energy to power electric trains in the railway system. For instance, it is mentioned that starting in 2017, WT systems would power the trains of Nederlander Spoorwegen (NS), a Dutch state-owned railway operator that operates passenger trains in the country (<xref ref-type="bibr" rid="B14">Kuznetsov et al., 2024</xref>). WT with horizontal axes (HAWT) and vertical axes (VAWT) are the two primary varieties of WT. Usually, wind turbines make up the VAWT (<xref ref-type="bibr" rid="B20">Seifi Davari et al., 2024</xref>). The incapacity of RES supplies to be stored for later use is one of its disadvantages. Therefore, while they are still available, it is imperative to extract as much energy as possible from them. Furthermore, it is hard to ensure that they will always be regular and focused because they usually depend on the climate of the place. This indicates that because RES depend on the environment, their production is uncertain. Energy storage technologies, such as battery energy storage systems (BESS), are included in the review, which can stabilize the energy network, reduce fossil fuel use, and mitigate the environmental impacts of EVs. It also highlights the importance of maximizing RESs in supporting electrified rail transportation systems. BESS can improve the power quality of a distribution system, according to <xref ref-type="bibr" rid="B13">Khan et al. (2025)</xref>, <xref ref-type="bibr" rid="B23">Xin et al. (2023)</xref>. Furthermore, the battery may be precisely positioned inside the distribution network to regulate the voltage and distribution system loss. The research offers a realistic vision for battery technology and electric hybrid cars in the context of power system applications. Additionally, <xref ref-type="bibr" rid="B16">Madhusudanan and Padhmanabhaiyappan (2024)</xref> have looked at using BESS to generate electricity from WT and PV. A power system simulation study has been given by the authors to improve the hybrid generating system&#x2019;s imbalanced performance. The functioning of the hybrid RESs with BESS in the daytime power market has been examined by <xref ref-type="bibr" rid="B4">Bakhtvar and Al-Hinai (2021)</xref>. Through testing in a sample study scenario, the author has suggested optimal operational techniques. Thus, in order to guarantee seamless operation, the vital role of BESS necessitates sophisticated planning and technological solutions. Applying the BESS&#x2019;s strategic integration with other RES is crucial.</p>
<p>This study explores the use of RESs, particularly PV and WT, in rail transportation systems. It focuses on hybrid energy generation strategies, including PV installed on moving trains and micro-hydro WT placed on the roof. The study emphasizes the importance of stochastic energy characterization in RES and proposes the application of a BESS to monitor excess energy from RESs. This might not be enough, though, to completely satisfy the train&#x2019;s energy needs. As a result, more PV is taken into account than the railway truck&#x2019;s sleepers. This study aims to boost the use of RESs and reduce the amount of electricity flowing from the main grid. This paper suggests a strategic plan for improving the state of the battery storage system in the HES to accomplish the aim. Additionally, using analytical calculations based on three situations, it presents a mathematical model of the suggested system.</p>
</sec>
<sec id="s2">
<title>2 Mathematical modeling</title>
<sec id="s2-1">
<title>2.1 Objective function</title>
<p>This section formulates and provides the proposed power management approach. To reduce the railway system&#x2019;s need for researching HES, which reduces the amount of energy used from the grid. The mathematical expression for the objective function is given below. <xref ref-type="disp-formula" rid="e1">Equation 1</xref> shows a mathematical expression of an objective function.<disp-formula id="e1">
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</mml:mrow>
</mml:math>
<label>(1)</label>
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</inline-formula>, while the energy extracted from the grid at time <inline-formula id="inf6">
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</inline-formula> is the energy used to charge the BESS at time <inline-formula id="inf9">
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</inline-formula> is the energy discharged by the BESS at time <inline-formula id="inf11">
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</inline-formula> is the consumption load of the train at time <inline-formula id="inf13">
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<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the power generation by the wind turbine at time <inline-formula id="inf15">
<mml:math id="m16">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf16">
<mml:math id="m17">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>Sleeper</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula> is the power generation by sleeper solar panels at time <inline-formula id="inf17">
<mml:math id="m18">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>.</p>
</sec>
<sec id="s2-2">
<title>2.2 Solar energy system</title>
<p>The performance of PV systems can be affected by temperature and sun radiation are the two most crucial factors. Furthermore, the PV panel that was chosen is a monocrystalline solar cell. The technical specifications of the chosen solar panel are shown in <xref ref-type="table" rid="T1">Table 1</xref>. Through <xref ref-type="disp-formula" rid="e2">Equation 2</xref>, power production associated with solar irradiation can be assessed <xref ref-type="bibr" rid="B17">Maleki and Pourfayaz (2015)</xref>.<disp-formula id="e2">
<mml:math id="m19">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>PV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>PV</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x22c5;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>ref</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>ref</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>For evaluating the generated PV power (see <xref ref-type="fig" rid="F1">Figure 1</xref>), the PV-rated power is denoted by <inline-formula id="inf18">
<mml:math id="m20">
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>PV</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:math>
</inline-formula>. The solar radiation at the reference condition (1000 W/m<sup>2</sup>) is denoted by <inline-formula id="inf19">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>ref</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and the solar radiation at the particular location is denoted by <inline-formula id="inf20">
<mml:math id="m22">
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>. Additionally, the manufacturer&#x2019;s datasheet provides the solar panel&#x2019;s temperature coefficient <inline-formula id="inf21">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf22">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>ref</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the temperature of the cell under reference conditions (25 &#xb0;C). The cell temperature <inline-formula id="inf23">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> can be identified by applying <xref ref-type="disp-formula" rid="e3">Equation 3</xref>; <xref ref-type="bibr" rid="B17">Maleki and Pourfayaz (2015)</xref>.<disp-formula id="e3">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>air</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>NOCT</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>20</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>800</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where the air temperature, expressed in Celsius units (&#xb0;C), is denoted by <inline-formula id="inf24">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>air</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>. The manufacturer&#x2019;s datasheet provides information on the nominal operating cell temperature (NOCT). This dataset is collected along the route from Astana to Almaty and varies in latitude and longitude depending on the train stops (<xref ref-type="bibr" rid="B18">NASA Prediction Of Worldwide Energy Resources (POWER), 2025</xref>). The Talgo train consists of a total of 11 wagons, each equipped with 8 PV modules, each having a rated power capacity of 310 W. Thus, the total rated PV capacity of the entire train is 27.28 kW.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>The technical parameters of the &#x201c;Canadian Solar&#x201d; CS6X-310M (310W).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Characteristic (unit)</th>
<th align="center">Specification</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Nominal operating maximum power, <inline-formula id="inf25">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>max</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (W)</td>
<td align="center">310</td>
</tr>
<tr>
<td align="left">Power tolerance (W)</td>
<td align="center">
<inline-formula id="inf26">
<mml:math id="m29">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>5</td>
</tr>
<tr>
<td align="left">Cell arrangement</td>
<td align="center">72 (6 <inline-formula id="inf27">
<mml:math id="m30">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 12)</td>
</tr>
<tr>
<td align="left">Cell type</td>
<td align="center">Mono-crystalline</td>
</tr>
<tr>
<td align="left">Optimum operating voltage at <inline-formula id="inf28">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>max</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>mp</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (V)</td>
<td align="center">36.7</td>
</tr>
<tr>
<td align="left">Optimum operating current at <inline-formula id="inf29">
<mml:math id="m32">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>max</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>mp</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (A)</td>
<td align="center">8.44</td>
</tr>
<tr>
<td align="left">Open circuit voltage, <inline-formula id="inf30">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>oc</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (V)</td>
<td align="center">45.3</td>
</tr>
<tr>
<td align="left">Short circuit current, <inline-formula id="inf31">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>sc</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (A)</td>
<td align="center">8.95</td>
</tr>
<tr>
<td align="left">Module efficiency, <inline-formula id="inf32">
<mml:math id="m35">
<mml:mrow>
<mml:mi>&#x3b7;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (%)</td>
<td align="center">16.16</td>
</tr>
<tr>
<td align="left">Maximum series fuse rating (A)</td>
<td align="center">15</td>
</tr>
<tr>
<td align="left">Nominal operating temperature, NOCT (<inline-formula id="inf33">
<mml:math id="m36">
<mml:mrow>
<mml:mo>&#xb0;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>C)</td>
<td align="center">45 <inline-formula id="inf34">
<mml:math id="m37">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 2</td>
</tr>
<tr>
<td align="left">Linear power output warranty (years)</td>
<td align="center">25</td>
</tr>
<tr>
<td align="left">Weight [kg]</td>
<td align="center">23</td>
</tr>
<tr>
<td align="left">Dimensions (length <inline-formula id="inf35">
<mml:math id="m38">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> width <inline-formula id="inf36">
<mml:math id="m39">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> height) (m)</td>
<td align="center">1.954 <inline-formula id="inf37">
<mml:math id="m40">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.982 <inline-formula id="inf38">
<mml:math id="m41">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.04</td>
</tr>
<tr>
<td align="left">Surface area (m<sup>2</sup>)</td>
<td align="center">1.92</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Total generation by PV from Astana to Almaty.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g001.tif">
<alt-text content-type="machine-generated">Line graph showing PV power (kilowatts) versus time in minutes. Power rises steeply to 40 kW by 456 minutes, then drops to near zero at 913 minutes, indicating nighttime, before rising again towards the end.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-3">
<title>2.3 Wind energy system</title>
<p>The train&#x2019;s speed is regarded in this study as the wind&#x2019;s speed. As illustrated in <xref ref-type="fig" rid="F2">Figure 2</xref>, it is evident that wind is caused by the train&#x2019;s movement wherever it is. At an average speed of 50&#x2013;60 km/h, the train creates air pressure in the opposite direction, according to <xref ref-type="bibr" rid="B15">Liu et al. (2024)</xref>. When a train is in motion, the air is compressed, driving it to its sides and creating a vacuum at its sides and back (<xref ref-type="bibr" rid="B5">Bi et al., 2022</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Model of the wind flow.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g002.tif">
<alt-text content-type="machine-generated">Illustration of a train moving right with arrows indicating movement direction. Wind flow direction is shown with arrows pointing left against the front of the train.</alt-text>
</graphic>
</fig>
<p>To fill this void, a tremendous volume of air flows into the train&#x2019;s sides and rear. The wind speed is computed in this study based on the possibility that the train&#x2019;s motion will produce wind. As previously stated, the Talgo train in Kazakhstan operates at a speed of around 110 km/h; hence, it may be said that the train&#x2019;s motion creates a wind. <xref ref-type="bibr" rid="B6">Das et al. (2020)</xref> have presented a viable method where the wind is produced by the speed of the train. <xref ref-type="table" rid="T2">Table 2</xref> demonstrates the technical characteristics of the selected WT. The output power generated by (<xref ref-type="disp-formula" rid="e4">Equation 4</xref>) and dataset is from the route of Astana to Almaty and varies the latitude and longitude based on train stops NASA Prediction Of Worldwide Energy Resources (POWER) (2025).<disp-formula id="e4">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>Wind</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mi>A</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>The output power of the WT, illustrated in <xref ref-type="fig" rid="F3">Figure 3</xref>, is proportional to the wind speed. Here, the circular cross-sectional area is denoted by <inline-formula id="inf39">
<mml:math id="m43">
<mml:mrow>
<mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (m<sup>2</sup>), <inline-formula id="inf40">
<mml:math id="m44">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the wind speed (m/s), and <inline-formula id="inf41">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c1;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the air mass density (kg/m<sup>3</sup>). The feasibility analysis indicates that the turbine power coefficient, <inline-formula id="inf42">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, is 0.4 (<xref ref-type="bibr" rid="B19">Nurmanova et al., 2017</xref>). The Talgo train consists of a total of 11 wagons, each equipped with 8 wind turbines rated at 300 W each. Therefore, the total rated wind generation capacity of the full train is 26.40 kW.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Specifications of the vertical axis wind turbine (VAWT).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Characteristic (unit)</th>
<th align="center">Specification</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Weight (kg)</td>
<td align="center">10</td>
</tr>
<tr>
<td align="left">Dimensions (length <inline-formula id="inf43">
<mml:math id="m47">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> width <inline-formula id="inf44">
<mml:math id="m48">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> height) (m)</td>
<td align="center">0.7 <inline-formula id="inf45">
<mml:math id="m49">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.7 <inline-formula id="inf46">
<mml:math id="m50">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 1.2</td>
</tr>
<tr>
<td align="left">Features</td>
<td align="center">VAWT</td>
</tr>
<tr>
<td align="left">Maximum Voltage (V)</td>
<td align="center">AC Three-phase 24</td>
</tr>
<tr>
<td align="left">Peak Power (W)</td>
<td align="center">300</td>
</tr>
<tr>
<td align="left">Start-up Wind Velocity (m/s)</td>
<td align="center">0.9</td>
</tr>
<tr>
<td align="left">Noise Level (dB)</td>
<td align="center">
<inline-formula id="inf47">
<mml:math id="m51">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 40</td>
</tr>
<tr>
<td align="left">Number of Blades</td>
<td align="center">6</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Total generation by WT from Astana to Almaty.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g003.tif">
<alt-text content-type="machine-generated">Line graph showing wind power in kilowatts over time in minutes, peaking sharply at regular intervals near 1000 kW before dropping to near zero. An inset graph highlights a specific section, illustrating a sharp rise to around 900 kW before gradually declining.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-4">
<title>2.4 Solar sleeper</title>
<p>Railway sleepers with solar panels for energy supply, as shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. In Germany, the British energy business Bankset is now testing the idea of mounting solar panels over railroad rails. The technical specifications of the chosen solar sleeper are shown in <xref ref-type="table" rid="T3">Table 3</xref>. They showcased a bold proposal that intends to install gigawatts of PV systems on top of railway sleepers (<xref ref-type="disp-formula" rid="e5">Equation 5</xref>); (<xref ref-type="bibr" rid="B11">Ji et al., 2020</xref>). Based on dimensions in 1 km, we can install a 1,265 solar sleeper.<disp-formula id="e5">
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<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The solar panels are placed above the railway track&#x2019;s sleepers.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g004.tif">
<alt-text content-type="machine-generated">Illustration of a rectangular grid structure with alternating black and blue panels. Dimensions are marked: sleeper's length is two hundred fifty millimeters, each panel's length is three hundred fifty-five millimeters, with a width of five hundred forty millimeters. Overall width is one thousand sixty-seven millimeters, with an additional two hundred twenty-eight point five millimeters on each side.</alt-text>
</graphic>
</fig>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Specifications of the small solar panel module.</p>
</caption>
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<thead valign="top">
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<th align="left">Characteristic (unit)</th>
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</table-wrap>
</sec>
<sec id="s2-5">
<title>2.5 Battery energy storage system (BESS)</title>
<p>A lead-acid BESS is used in this feasibility study to reduce the intermittent output power of RESs and the stochastic load profile of PHEVs. This parameter can be identified based on (<xref ref-type="disp-formula" rid="e6">Equation 6</xref>); <xref ref-type="bibr" rid="B1">Adefarati and Bansal (2019)</xref>.<disp-formula id="e6">
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</sec>
</sec>
<sec sec-type="methods" id="s3">
<title>3 Methodology</title>
<p>This paper explores the use of RES on a moving electric train, study specifically in Almaty, Kazakhstan, reached by the &#x201c;Talgo Tulpar&#x201d; train from Astana. Building the system&#x2019;s mathematical model is crucial since it aids in comprehending its constituent parts. This paper discusses the BESS and the solar sleepers along the intended route, in addition to the PV and WT on top of the train. Next, the right kind of wind turbine and solar panels have been chosen. The wind turbine is chosen as a tiny VAWT that is horizontally oriented, while the train and sleepers&#x2019; solar panels are both monocrystalline. Reducing the amount of energy coming from the upstream utility grid (primary energy network) is the aim of this endeavor, serve as the foundation for the mathematical model that is built. To meet the train&#x2019;s energy needs, the share of RESs should be raised. The study identifies train characteristics, such as trip schedule and route length, to design an HES for rail transportation. The train&#x2019;s technical parameters are crucial for determining roof space for PV and WT. In many industries, including transportation, an Energy Management System (EMS) is an essential technological framework that maximizes energy utilization, boosts operational effectiveness, and lessens environmental effects.</p>
<p>By reducing the import of fossil fuels, RES helps countries to increase energy security while maintaining their standard of life without harming nature. Together with other energy producers like fuel cells and microturbines, the microgrid (MG) uses RES like PV and WT. The idea was established to lower pollution levels and generate costs. The paper presents an HES for the railway, utilizing WT, PV, BESS, and solar sleepers as distributed resources. The EMS is based on a strategic plan to enhance the railway system&#x2019;s energy network, as illustrated in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The hybrid energy systems constituent parts.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g005.tif">
<alt-text content-type="machine-generated">Diagram illustrating an energy management system for train load. Wind turbines and photovoltaic panels generate electricity, sent to the train, battery bank, and utility grid. Dashed lines indicate information flow; solid lines show electrical flow. Data is managed by the system, displayed on a computer screen.</alt-text>
</graphic>
</fig>
<p>The BESS strategic plan aims to prioritize renewable energy generation over grid energy, as shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. If the State of Charge (SOC) is less than 85%, the plan calls for charging when the train&#x2019;s need for renewable energy is exceeded. If there is enough SOC, excess energy is returned to the grid, optimizing power consumption and perhaps generating income through feed-in tariffs. While grid energy supports any additional load requirements, the BESS discharges to protect battery life and performance if the SOC is higher than 20%. This strategy shows a dedication to sustainable EMS and the ability of cutting-edge control systems to improve the use of RESs.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>The BESS strategic plan to maximize grid energy use.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g006.tif">
<alt-text content-type="machine-generated">Flowchart illustrating energy management. It begins with &#x22;Start&#x22;, checking if generation (G) is greater than demand (D). If yes, it checks if battery state of charge (B.SOC) is less than or equal to 85%, leading to &#x22;Charge BESS&#x22;. If no, the flow moves to &#x22;Return the Grid&#x22;. If G is not greater than D, it checks if B.SOC is greater than 20%. If yes, it proceeds to &#x22;Take Power from the BESS&#x22;. If no, it leads to &#x22;Take Power from the Grid&#x22;. Definitions for G, D, B, and Char are provided.</alt-text>
</graphic>
</fig>
<sec id="s3-1">
<title>3.1 Study on train stops and dimensions</title>
<p>This paper examines the &#x201c;Talgo Tulpar&#x201d; train in Kazakhstan. Two of Kazakhstan&#x2019;s major cities, Astana and Almaty, are connected via one of the &#x201c;Talgo Tulpar&#x201d; train&#x2019;s most frequently traveled routes. In addition, the technical specification of the train and its parameters are illustrated in <xref ref-type="table" rid="T4">Table 4</xref>. As seen in <xref ref-type="fig" rid="F7">Figure 7</xref>, the route is 1,200 km long and includes 11 stops, making the entire journey time 18 h and 49 min.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Technical specifications of the train.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameter</th>
<th align="center">Value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Length of wagon (m)</td>
<td align="center">13.140</td>
</tr>
<tr>
<td align="left">Width of wagon (m)</td>
<td align="center">3.200</td>
</tr>
<tr>
<td align="left">Height of wagon (m)</td>
<td align="center">3.524</td>
</tr>
<tr>
<td align="left">Weight of the train at full load (tons)</td>
<td align="center">343</td>
</tr>
<tr>
<td align="left">Maximum weight per motor axle load (tons)</td>
<td align="center">18</td>
</tr>
<tr>
<td align="left">Number of wagons</td>
<td align="center">11</td>
</tr>
<tr>
<td align="left">Weight of the wagon (tons)</td>
<td align="center">61</td>
</tr>
<tr>
<td align="left">Operating speed (km/h)</td>
<td align="center">110</td>
</tr>
<tr>
<td align="left">Type of current</td>
<td align="center">25 kV AC, 50 Hz</td>
</tr>
<tr>
<td align="left">Output power (kW)</td>
<td align="center">2,400</td>
</tr>
<tr>
<td align="left">Traction system</td>
<td align="center">Electric</td>
</tr>
<tr>
<td align="left">Wagon dimension standard</td>
<td align="center">GOST 9238: 1-VM</td>
</tr>
<tr>
<td align="left">Lifetime (years)</td>
<td align="center">30</td>
</tr>
<tr>
<td align="left">Manufacturer</td>
<td align="center">Patentes Talgo S. L</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Train station map for Talgo Tulpar from Astana to Almaty.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g007.tif">
<alt-text content-type="machine-generated">Map of Kazakhstan showing key locations connected by train routes. Cities include Astana, Karagandy, and Almaty, with stops at Karagandy sort, Karagandy pass, Dariya, Akadyr, Saryshagan, and Anrakhay. The map indicates regional boundaries and major geographical features.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="table" rid="T5">Table 5</xref> shows all the stations of the Talgo Tulpar train and also the arrival and departure times of the train. For the calculation of train load and generation of power using RESs, we consider the parking time of the train at one stop and also consider how much time it takes the train to move from one stop to another stop.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Route details Astana to Almaty.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Station</th>
<th align="center">Arrival time</th>
<th align="center">Departure time</th>
<th align="center">Parking time (min)</th>
<th align="center">Time taken</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Astana</td>
<td align="center">&#x2014;</td>
<td align="center">11:45</td>
<td align="center">&#x2014;</td>
<td align="center">2 h 41 m</td>
</tr>
<tr>
<td align="left">Karagandy Sort</td>
<td align="center">14:26</td>
<td align="center">14:28</td>
<td align="center">2</td>
<td align="center">24 m</td>
</tr>
<tr>
<td align="left">Karagandy Pass</td>
<td align="center">14:52</td>
<td align="center">15:22</td>
<td align="center">30</td>
<td align="center">1 h 9 m</td>
</tr>
<tr>
<td align="left">Dariya</td>
<td align="center">16:31</td>
<td align="center">16:34</td>
<td align="center">3</td>
<td align="center">1 h 8 m</td>
</tr>
<tr>
<td align="left">Akadyr</td>
<td align="center">17:42</td>
<td align="center">17:57</td>
<td align="center">15</td>
<td align="center">3 h 10 m</td>
</tr>
<tr>
<td align="left">Saryshagan</td>
<td align="center">21:07</td>
<td align="center">21:22</td>
<td align="center">15</td>
<td align="center">3 h 47 m</td>
</tr>
<tr>
<td align="left">Chu</td>
<td align="center">01:09</td>
<td align="center">01:31</td>
<td align="center">22</td>
<td align="center">1 h 40 m</td>
</tr>
<tr>
<td align="left">Anrakhay</td>
<td align="center">03:11</td>
<td align="center">03:33</td>
<td align="center">22</td>
<td align="center">31 m</td>
</tr>
<tr>
<td align="left">Otar</td>
<td align="center">04:04</td>
<td align="center">04:13</td>
<td align="center">9</td>
<td align="center">1 h 55 m</td>
</tr>
<tr>
<td align="left">Almaty 1</td>
<td align="center">06:08</td>
<td align="center">06:13</td>
<td align="center">5</td>
<td align="center">21 m</td>
</tr>
<tr>
<td align="left">Almaty 2</td>
<td align="center">06:34</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="fig" rid="F8">Figure 8</xref> shows the side view of the train, and based on the dimensions, we make a calculation for how many PV and WT we can install. However, with a surface size of 1.954 &#x2a; 0.982 m<sup>2</sup>, the chosen solar panel, &#x201c;Canadian Solar&#x201d; CS6X-310M, fully satisfies the wagon&#x2019;s required width (0.982 <inline-formula id="inf68">
<mml:math id="m75">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 1.250 m). The WT measures 0.7 &#x2a; 0.7 m, and its breadth (0.7 <inline-formula id="inf69">
<mml:math id="m76">
<mml:mrow>
<mml:mo>&#x3c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 1.250 m) exactly matches the wagon&#x2019;s width. Based on dimensions and calculations, we can install the 8 PV and WT on one wagon, as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>The wagon of the Talgo Tulpar train seen from the side (measurements in mm).</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g008.tif">
<alt-text content-type="machine-generated">Illustration of a train car viewed from the side. The car is blue with a gray body and has multiple windows. Dimensions are marked: 12,140 units long with 500-unit sections on each end.</alt-text>
</graphic>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>The placement of wind turbines and solar panels on a moving train conceptual design, taken and modified from (<xref ref-type="bibr" rid="B19">Nurmanova et al., 2017</xref>).</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g009.tif">
<alt-text content-type="machine-generated">Illustration of a train with multiple solar panels on its roof. An inset diagram shows a generator system inside the train. The system includes a wind turbine, gearbox, air gap, and generator, demonstrating integrated renewable energy technology.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Train energy profile</title>
<p>The train energy consumption must be determined to simulate the HES. Since the train&#x2019;s movement determines the majority of its energy usage, determining the train&#x2019;s speed profile is important. The derived speed profile is used to assess the train&#x2019;s energy usage. Consequently, the formulation is used to estimate the train&#x2019;s energy consumption statistics. The power is found by multiplying the traction force by the train&#x2019;s speed in (<xref ref-type="disp-formula" rid="e8">Equation 8</xref>).<disp-formula id="e8">
<mml:math id="m77">
<mml:mrow>
<mml:mtext>Power</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where <inline-formula id="inf70">
<mml:math id="m78">
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the train&#x2019;s speed, and <inline-formula id="inf71">
<mml:math id="m79">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the tractive force (effort), which is identified based on <xref ref-type="disp-formula" rid="e9">Equation 9</xref>.<disp-formula id="e9">
<mml:math id="m80">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x22c5;</mml:mo>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>Temperature, humidity, filth, and speed all have an impact on the adhesion coefficient, or <inline-formula id="inf72">
<mml:math id="m81">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, which determines the rolling values for steel rails and wheels. Furthermore, <inline-formula id="inf73">
<mml:math id="m82">
<mml:mrow>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the train&#x2019;s vertical reaction, which is influenced by its maximum axle load. <xref ref-type="disp-formula" rid="e10">Equation 10</xref> is used to obtain the adhesion coefficient for the electric train Renfe.<disp-formula id="e10">
<mml:math id="m83">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mn>0.2115</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>33</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>42</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>v</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>where, <inline-formula id="inf74">
<mml:math id="m84">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the constant value, and for the Spanish Renfe train, it equals <inline-formula id="inf75">
<mml:math id="m85">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.27. The energy consumption of the Talgo train has thus been computed using the methodology suggested for the Renfe train in Spain. It&#x2019;s crucial to remember that the adhesion coefficient likewise depends proportionately on the train&#x2019;s speed.</p>
<p>As a result, real-time information on the chosen train&#x2019;s speed or energy usage was needed. Since neither the speed nor the energy profile of this train is publicly available. As a result, the model that was supplied was used to build the velocity profile of the chosen train. <xref ref-type="bibr" rid="B7">Deng (2024)</xref> have taken into account the train&#x2019;s speed fluctuation between stations while creating the speed profiles for the fast and slow modes. <xref ref-type="fig" rid="F10">Figure 10</xref> shows the power demand of a train traveling from Astana to Almaty.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Talgo Tulpar train load profile, given kW per minute.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g010.tif">
<alt-text content-type="machine-generated">Line graph depicting train load in kilowatts per minute over time in minutes, showing fluctuations with several peaks, the highest approaching 5500 kW/minute. An inset zooms into a specific section, detailing a rise and stabilization in load.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s4">
<title>4 Case studies, results, and discussion</title>
<p>The integration of a HES into Kazakhstan&#x2019;s railway network is presented in this study. The Talgo Tulpar train, a high-speed train built by Talgo S.L. of Spain, is undergoing a feasibility study to connect Almaty and Astana. The train is a well-traveled route between the two cities and is referred to as the &#x201c;RENFE S130&#x2033; in Spain. With a 1200-km trip taking about 19 h, the train&#x2019;s installation has greatly shortened travel times. At specific moments, stations might pause. The trip map is shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. <xref ref-type="table" rid="T5">Table 5</xref> provides a thorough explanation of the Talgo train schedule between Astana and Almaty. Consequently, one complete day, or 24 h, was taken into consideration for the simulation studies (from 12:00 p.m. until 11:59 a.m. the next day). MATLAB algorithm simulation is used to simulate and evaluate the suggested system, which integrates RESs such as PV, WT, BESS, and the main grid. To investigate how the EMS reacts when sharing power across several sources in all operational modes, several situations are investigated. For a full day, we examined several scenarios for this simulation. There are three cases for this operation.<list list-type="simple">
<list-item>
<p>Case 1: PV and WT.</p>
</list-item>
<list-item>
<p>Case 2: PV, WT, and BESS.</p>
</list-item>
<list-item>
<p>Case 3: PV, WT, Solar Sleeper, and BESS.</p>
</list-item>
</list>
</p>
<p>
<inline-formula id="inf76">
<mml:math id="m86">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>SOC</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>min</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf77">
<mml:math id="m87">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>SOC</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are 20% and 80%, respectively, in all modes. Throughout the day, the solar system functions in all modes with a consistent distribution, with its power peaking at midday, depending on the amount of light irradiation. WT production peaks and troughs are caused by the wind speed&#x2019;s fluctuating erratically throughout the day.</p>
<p>In Case 1, the effectiveness of PV and micro-WT over a moving train is investigated, which is often referred to as the general or basic case. It is crucial to compare this basic case with different scenarios that take into account the integration of PV sleepers and storage systems. The graph depiction of the train&#x2019;s load, RES usage, and grid energy consumption during motion is displayed in <xref ref-type="fig" rid="F10">Figure 10</xref>. As is evident, the utility grid is primarily responsible for the train&#x2019;s load. <xref ref-type="fig" rid="F11">Figure 11</xref> displays the PV and WT&#x2019;s output power throughout the course of a complete day (12:00 p.m. to 11:59 a.m. the following day). The total generated energy from RESs and energy savings are obtained from the simulation.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>The train&#x2019;s load, renewable energy use, and grid energy use graph.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g011.tif">
<alt-text content-type="machine-generated">Line graph showing power usage over time in minutes, with three lines representing Load (blue), Grid (orange), and RES (gray). Peaks occur at regular intervals for Load and Grid, while RES remains low. An inset highlights a specific interval with similar trends. Time on the x-axis ranges from 0 to 1370 minutes, and power on the y-axis ranges from -500 to 5500 kilowatts.</alt-text>
</graphic>
</fig>
<p>In Case 2, the train energy system is equipped with PV, WT, and BESS systems. Examining how the BESS affects the train&#x2019;s power system is the goal. This instance examines the BESS strategy plan in the HES depicted in <xref ref-type="fig" rid="F6">Figure 6</xref>. The BESS&#x2019;s SOC should remain between 20% and 85% to ensure battery longevity and reliability. If the SOC is outside the specified limits, a harsh penalty is applied. The particle swarm optimization (PSO) aims to keep the SOC within the permitted range to avoid penalties. <xref ref-type="fig" rid="F12">Figure 12</xref> shows the train&#x2019;s load, RESs, and grid energy consumption during the journey. The PSO also aims to maximize the BESS&#x2019;s charging and discharging conditions by adhering to the strategy plan.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>The train&#x2019;s load, renewable energy use, and grid energy use graph.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g012.tif">
<alt-text content-type="machine-generated">Line graph depicting power usage in kilowatts over time in minutes. The legend identifies three lines: Load (blue), RES (gray), and Grid (orange). The Grid line shows frequent spikes, the Load line mirrors the Grid with minor variations, and the RES line remains mostly flat. An inset detail highlights a section of the graph.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F13">Figures 13</xref>, <xref ref-type="fig" rid="F14">14</xref> show the ideal BESS SOC level and BESS power depending on the SOC level. The BESS&#x2019;s state of charging and discharging is visible. The charging state of the BESS is indicated by positive BESS power values, while the discharging state is shown by negative BESS power indications. When there is positive electricity, the battery&#x2019;s stored energy increases because energy is entering the battery. Conversely, negative graph values show that energy is leaving the battery to satisfy the system&#x2019;s power requirements.</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>The optimized BESS SOC level.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g013.tif">
<alt-text content-type="machine-generated">Line graph depicting the state of charge (SOC) in percentage over time in minutes, ranging from zero to one thousand three hundred sixty-nine. The SOC fluctuates between approximately twenty percent and eighty percent, showing frequent spikes and dips without a consistent pattern.</alt-text>
</graphic>
</fig>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>The optimized BESS Power.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g014.tif">
<alt-text content-type="machine-generated">Line graph showing fluctuations in BESS power output over time. The x-axis represents time in minutes from zero to one thousand three hundred sixty-nine. The y-axis indicates BESS power in kilowatts, ranging from negative thirty to forty. The data exhibits frequent and irregular peaks and troughs.</alt-text>
</graphic>
</fig>
<p>However, the train&#x2019;s energy requirements cannot be met by the quantity of RESs produced. <xref ref-type="table" rid="T6">Table 6</xref> illustrates this by showing the figures for total grid power use, total renewable power generation, and the total BESS power storage. The grid&#x2019;s energy usage is far higher than that of its renewable energy output. However, since the combined PV and WT are small-scale and situated above the train, it makes sense. There is an insignificant amount of renewable energy produced when the BESS is actively charging or discharging. This implies that certain system qualities, such as keeping a high SOC to handle unforeseen demand spikes or having a reserve for periods when renewables are not produced, are prioritized in the operational system design.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Comparison of energy parameters in different cases.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameter</th>
<th align="center">Case 1</th>
<th align="center">Case 2</th>
<th align="center">Case 3</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Utility Power Usage (kWh)</td>
<td align="center">&#x2014;</td>
<td align="center">43070</td>
<td align="center">20942.6</td>
</tr>
<tr>
<td align="left">RESs Power (kWh)</td>
<td align="center">2081.72</td>
<td align="center">2081.72</td>
<td align="center">604411.6</td>
</tr>
<tr>
<td align="left">PV Power (kWh)</td>
<td align="center">279.88</td>
<td align="center">279.88</td>
<td align="center">279.88</td>
</tr>
<tr>
<td align="left">WT Power (kWh)</td>
<td align="center">1801.84</td>
<td align="center">1801.84</td>
<td align="center">1801.84</td>
</tr>
<tr>
<td align="left">Solar Sleeper (kWh)</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">602329.9</td>
</tr>
<tr>
<td align="left">Excess Power (kWh)</td>
<td align="center">76.22</td>
<td align="center">76.22</td>
<td align="center">580377.2</td>
</tr>
<tr>
<td align="left">Energy Savings (%)</td>
<td align="center">4.45</td>
<td align="center">4.33</td>
<td align="center">53.48</td>
</tr>
<tr>
<td align="left">BESS Power (kWh)</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2212;7.54</td>
<td align="center">14.7</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>A novel and untested technique of producing power across railway rails, Case 3 examines solar sleepers&#x2019; influence on the railway power system. These sleepers have a great potential for producing enormous amounts of energy, even if this has not been shown in the literature. The graph of the train&#x2019;s load, RESs, and grid power consumption during the journey is shown in <xref ref-type="fig" rid="F15">Figure 15</xref>. As is evident, a significant amount of energy is produced by all RESs, causing the excess energy to be sent back into the grid. The graph shows the high generation of hybrid power resources, with solar sleepers being the primary source of energy. However, the performance of these sleepers is influenced by the climate, which can affect their ability to meet the train&#x2019;s energy demand.</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>Grid energy use, train load, and renewable energy graph.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g015.tif">
<alt-text content-type="machine-generated">Line graph depicting power (in kW) over time (in minutes) with three lines: Load (blue), RES (gray), and Grid (orange). The main graph shows initial RES dominance, then Grid increase, and RES decrease around 304 minutes. The inset highlights a section from 1065 to 1216 minutes, with Load and Grid stabilizing, marked by a red box and arrow.</alt-text>
</graphic>
</fig>
<p>Furthermore, the suggested strategy has been implemented to optimize BESS charging and discharging decision options since case 3 also takes BESS into account. Based on the best charging and discharging choices, <xref ref-type="fig" rid="F16">Figures 16</xref>, <xref ref-type="fig" rid="F17">17</xref> display the optimal BESS SOC level and the BESS power indicators. With an SOC above 30%, the observation demonstrates that the BESS is actively charged and drained, preventing over-discharge. The BESS power has variability, frequently switching between charging and discharging, suggesting potential system optimization for stability. A balance among charging in excess and discharging at times of demand that is high or low generation is suggested by the distribution of positive and negative numbers.</p>
<fig id="F16" position="float">
<label>FIGURE 16</label>
<caption>
<p>The optimized BESS SOC level.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g016.tif">
<alt-text content-type="machine-generated">Line graph showing the state of charge (SOC) of a battery energy storage system (BESS) over time in minutes. The SOC starts at around 35 percent, rises to about 85 percent, falls to around 32 percent, and then climbs back to approximately 65 percent.</alt-text>
</graphic>
</fig>
<fig id="F17" position="float">
<label>FIGURE 17</label>
<caption>
<p>The optimized BESS Power.</p>
</caption>
<graphic xlink:href="fenrg-13-1666388-g017.tif">
<alt-text content-type="machine-generated">Line graph illustrating Battery Energy Storage System (BESS) power levels in kilowatts over time in minutes, ranging from zero to approximately one thousand three hundred sixty-nine. Power fluctuates between negative seventy and positive seventy kilowatts.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="table" rid="T6">Table 6</xref> presents the features of the energy network using solar sleepers, as planned in the proposed strategic plan. Due to the substantial power generation capability of solar sleepers, the dependency on grid-supplied electricity can be significantly reduced. However, since solar sleepers do not operate continuously throughout the day, the train&#x2019;s electrical load remains primarily reliant on grid power during periods of low solar efficiency.</p>
<p>This relates to around the hours of 6 p.m.&#x2013;7 a.m. The indication of power savings in this research instance is substantially higher than in previous scenarios. Approximately 53.4% of the grid&#x2019;s energy may be saved with the suggested configuration. Additionally, solar sleepers are used on the 1200-km railway track that connects Astana and Almaty. As a result, each element under consideration has a different energy generation index. Each resource&#x2019;s energy generation index should be stabilized to reduce grid energy consumption.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>This paper explores the incorporation of hybrid energy harvesting technologies into Kazakhstan&#x2019;s rail network. The project is on a small-scale PV and WT energy application with a BESS on the Talgo Tulpar, a moving electric train. To evaluate the performance and energy-generating potential of the suggested HES, the research created a thorough mathematical model and employed MATLAB simulations. The study considered three case studies: PV/WT, PV/WT/BESS/Grid, and PV/WT/BESS/Grid/Solar sleepers. According to the findings, an effective EMS combined with PV and WT energy sources may greatly lessen reliance on the primary electricity grid. Even modest installations of PV and WT can result in energy savings. The addition of a BESS adds layer of efficiency, allowing for more efficient energy storage and usage. The study also investigated the high potential of solar sleepers, an innovative approach in the field.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>AK: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Resources, Software, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing, Funding acquisition, Project administration, Supervision. KA: Writing &#x2013; original draft, Writing &#x2013; review and editing, Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization. MB: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This work was supported in part by the Collaborative Research Project (CRP), Nazarbayev University under Grant 211123CRP1604, and in part by the Faculty Development Competitive Research Grant (FDCRG), Nazarbayev University under Grant 201223FD8811.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<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>
<p>The author(s) declared that they were an editorial board member of Frontiers, at the time of submission. This had no impact on the peer review process and the final decision</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) 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>
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<sec sec-type="disclaimer" id="s11">
<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>
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