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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-598X</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1652536</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2025.1652536</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Sustainable energy solutions for rural Bangladesh: an optimized hybrid microgrid model</article-title>
<alt-title alt-title-type="left-running-head">Ali 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.2025.1652536">10.3389/fenrg.2025.1652536</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ali</surname>
<given-names>Md. Ripon</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ali</surname>
<given-names>Md. Feroz</given-names>
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<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Biswas</surname>
<given-names>Diganto</given-names>
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<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Al Mamun</surname>
<given-names>Abdullah</given-names>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Hossen</surname>
<given-names>Md. Jakir</given-names>
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<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<aff id="aff1">
<label>1</label>
<institution>Department of Electrical and Electronic Engineering, Pabna University of Science and Technology</institution>, <city>Pabna</city>, <country country="BD">Bangladesh</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>Department of Electrical and Electrical Engineering, Feni University</institution>, <city>Feni</city>, <country country="BD">Bangladesh</country>
</aff>
<aff id="aff3">
<label>3</label>
<institution>School of Information and Communication Technology, Griffith University</institution>, <city>Brisbane</city>, <state>QLD</state>, <country country="AU">Australia</country>
</aff>
<aff id="aff4">
<label>4</label>
<institution>Center for Advanced Analytics (CAA), COE for Artificial Intelligence, Faculty of Engineering &#x26; Technology (FET), Multimedia University</institution>, <city>Melaka</city>, <country country="MY">Malaysia</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Md. Jakir Hossen, <email xlink:href="jakir.hossen@mmu.edu.my">jakir.hossen@mmu.edu.my</email>; Md. Feroz Ali, <email xlink:href="feroz071021@gmail.com">feroz071021@gmail.com</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2025-11-27">
<day>27</day>
<month>11</month>
<year>2025</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1652536</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>06</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>29</day>
<month>08</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>27</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Ali, Ali, Biswas, Al Mamun and Hossen.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Ali, Ali, Biswas, Al Mamun and Hossen</copyright-holder>
<license>
<ali:license_ref start_date="2025-11-27">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>Reliable electricity access remains a critical challenge for rural Bangladesh. This study develops and optimizes a hybrid microgrid model for Bahirmadi village, integrating solar PV, wind turbines, a biogas generator, battery storage, and grid support using HOMER Pro software. A rural community load profile was constructed through a bottom-up device-usage approach, while renewable resources were derived from satellite datasets. The optimization identified a PV&#x2013;wind&#x2013;biogas&#x2013;battery&#x2013;grid hybrid configuration as the most cost-effective solution, with a net present cost (NPC) of USD 189,744 and a levelized cost of energy (COE) of USD 0.0212/kWh. The system achieves more than 80% renewable penetration while ensuring reliable supply. Sensitivity analysis demonstrated that PV capital cost and grid sellback price exert the strongest influence on system economics, whereas wind and biogas cost variations showed smaller impacts. These findings highlight the technical and economic feasibility of hybrid renewable microgrids for rural electrification in Bangladesh. Future work should incorporate field-validated meteorological records and measured rural demand data to further improve robustness and support community-specific implementation.</p>
</abstract>
<kwd-group>
<kwd>hybrid renewable energy system (HRES)</kwd>
<kwd>microgrid optimization</kwd>
<kwd>rural electrification</kwd>
<kwd>grid integration</kwd>
<kwd>HOMER pro simulation</kwd>
<kwd>techno-economic analysis</kwd>
<kwd>CO2 emission reduction</kwd>
<kwd>Bangladesh energy sector</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declare that no financial support was received for the research and/or publication of this article.</funding-statement>
</funding-group>
<counts>
<fig-count count="32"/>
<table-count count="10"/>
<equation-count count="21"/>
<ref-count count="112"/>
<page-count count="29"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-in-acceptance</meta-name>
<meta-value>Sustainable Energy Systems</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>Within the context of emerging economies, the connection between area development and <italic>per capita</italic> energy consumption has made the development of the energy sector a priority. Energy is critical to economic development, particularly for emerging nations, and is essential for aggregate productivity (<xref ref-type="bibr" rid="B13">Allouhi, 2024</xref>; <xref ref-type="bibr" rid="B8">Ali et al., 2021</xref>). Bangladesh has witnessed a dramatic rise in the demand for energy in the past decade with rapid population growth and economic development. However, it is an uphill task for Bangladesh with its populous mainland of 168.25 million people to surmount the energy crisis (<xref ref-type="bibr" rid="B34">Das et al., 2021</xref>; <xref ref-type="bibr" rid="B51">Hasan et al., 2024</xref>).</p>
<p>Bangladesh is a South Asian nation and is the world&#x2019;s eighth most populous nation with a population density of 1301 per km<sup>2</sup> (<xref ref-type="bibr" rid="B49">Hamadani et al., 2020</xref>; <xref ref-type="bibr" rid="B72">Mojumder et al., 2024</xref>). Despite tremendous growth in electricity access with 100% access to electricity now for the entire population, low voltage supplies and regular load shedding continue to be a problem and are impacting productivity and economic growth. Poor power, load shedding, and low voltage supply also inhibit productivity, decrease exports, and slow economic growth (<xref ref-type="bibr" rid="B2">Abdullah-Al-Mahbub and Islam, 2023</xref>). Therefore, resolving the nation&#x2019;s energy crisis is crucial to satisfying the country&#x2019;s long-term energy requirements. Now Bangladesh possesses a generating capacity of 30,277 MW (<xref ref-type="bibr" rid="B72">Mojumder et al., 2024</xref>) with the goal of producing 31,000 MW by 2030 and 60,000 MW by 2041 throughout the country against demand goals of 27,400 MW and 51,000 MW respectively under the revised Power System Master Plan (PSMP) of 2016 (<xref ref-type="bibr" rid="B64">Kadir et al., 2023</xref>). Renewable energy systems have become an economic solution to mitigate electricity shortages, particularly in isolated rural areas (<xref ref-type="bibr" rid="B108">Yu and Geoffron, 2020</xref>). Nevertheless, most aid-financed photovoltaic (PV) systems in off-grid areas are plagued by neglect because of insufficient funding for maintenance (<xref ref-type="bibr" rid="B79">Pandyaswargo et al., 2022</xref>; <xref ref-type="bibr" rid="B5">Adenle, 2020</xref>). Bangladesh is at a critical point of crisis in the matter of its energy resources due to the rapid urbanization of the country and growing energy demands (<xref ref-type="bibr" rid="B25">Bagdadee and Zhang, 2025</xref>). Furthermore, the dense population and low-lying delta nature of the country make it challenging to meet its needs in an environmentally friendly manner that is compatible with the problem of global warming (<xref ref-type="bibr" rid="B59">Islam et al., 2021</xref>). The rapid expansion of the renewable energy sources is crucial in order to achieve the net-zero carbon goals, with the role of renewables being anticipated at 60% of the electricity generated by 2030 and 90% by 2050 (<xref ref-type="bibr" rid="B6">Akash et al., 2024</xref>), (<xref ref-type="bibr" rid="B32">Bouckaert, 2021</xref>). <xref ref-type="fig" rid="F1">Figure 1</xref> is for Bangladesh&#x2019;s energy composition in 2025 with an installed capacity of 31,261 MW. Gas remains the dominant component at 39.62%, then coal (22.96%) and HFO (18.83%). The significant fact is that renewable energy contributes only 1,562.84 MW, only 5% of the installed capacity (<xref ref-type="bibr" rid="B41">Electricity Generation Mix, 2021</xref>). This low percentage is a sign of Bangladesh&#x2019;s infancy in harnessing sustainable energy. While its tremendous prospect in solar and wind power, the country is still reliant on fossil fuels. However, the contribution of renewable energy to the national grid reflects greater investment and policy focus (<xref ref-type="bibr" rid="B19">Avwioroko, 2023</xref>; <xref ref-type="bibr" rid="B35">Deng and Guo, 2017</xref>). Progress in this area must be enhanced in the pursuit of energy security, climate resilience, and carbon emissions mitigation. Strategic growth of renewables would significantly transform Bangladesh&#x2019;s energy future (<xref ref-type="bibr" rid="B63">Joarder et al., 2024</xref>; <xref ref-type="bibr" rid="B57">Hussain et al., 2024</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Bangladesh&#x2019;s installed power generation capacity by energy source (2025).</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g001.tif">
<alt-text content-type="machine-generated">Pie chart depicting energy sources distribution: 39.62% Gas, 22.96% Coal, 18.83% Renewable, 8.96% Imported, 5% Captive, 3.71% HFO, and 0.93% HSD. Each segment is color-coded.</alt-text>
</graphic>
</fig>
<p>Bangladesh has experienced a steady increase in electricity demand over the last decade, with electricity generation more than doubling and access to electricity rising from 47% in 2009 to 94% in 2019, primarily driven by the household sector (<xref ref-type="bibr" rid="B98">Sieed et al., 2020</xref>; <xref ref-type="bibr" rid="B102">Taheruzzaman and Janik, 2016</xref>; <xref ref-type="bibr" rid="B50">Hasan and Mohammad, 2019</xref>). Around 16% of the global population lacks access to electricity, significantly impacting productivity and sustainable development (<xref ref-type="bibr" rid="B71">Mohn, 2020</xref>). In Bangladesh, where 64.96% live in rural areas, many experience substandard electricity quality, hindering economic growth and exacerbating climate vulnerability (<xref ref-type="bibr" rid="B45">Fyza and Sarkar, 2020</xref>). Fossil fuel reservoirs are depleting daily, and the world will run out of fossil fuels in the coming years, highlighting the urgency of addressing the fossil fuel crisis alongside rising costs and scarcity (<xref ref-type="bibr" rid="B56">Hosseini, 2022</xref>; <xref ref-type="bibr" rid="B106">Wood, 2020</xref>). In a bid to provide security in terms of energy, nations are moving primarily onto RE energy sources to meet their power demands (<xref ref-type="bibr" rid="B109">Zafar et al., 2018</xref>). As of December 2021, global RE generation capacity was 3146 GW, according to REN21 (<xref ref-type="bibr" rid="B2">Abdullah-Al-Mahbub and Islam, 2023</xref>). <xref ref-type="fig" rid="F2">Figure 2</xref> indicates Bangladesh&#x2019;s capacity for renewable in 2025 to be 1,562.76 MW. Solar energy leads the way with 1,268.77 MW, of which 377.15 MW is off-grid and 891.62 MW is on-grid, reflecting extensive use across the nation. Wind power adds 62.9 MW, while hydropower adds 230 MW, all being on-grid. Biogas and biomass electricity are minimal at 0.69 MW and 0.4 MW, respectively (<xref ref-type="bibr" rid="B88">RE Generati on Mix, 2025</xref>). Dominance of solar highlights its strategic importance, whereas restricted progress of other sources suggests untapped possibility (<xref ref-type="bibr" rid="B3">Abdullah-Al-Mahbub et al., 2022</xref>). Diversification of clean technologies is essential to design a more diversified, sustainable, and resilient energy future of Bangladesh (<xref ref-type="bibr" rid="B92">Safi et al., 2023</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Technology-Wise distribution of renewable energy capacity in Bangladesh, 2025.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g002.tif">
<alt-text content-type="machine-generated">Bar chart displaying renewable energy generation types with capacities in megawatts. Solar: total 377.15, wind: total 1268.77, hydro: total 62.9, biogas to electricity: total 230, biomass to electricity: total 0.4. Categories include on-grid, off-grid, and total.</alt-text>
</graphic>
</fig>
<p>76% of the people in Bangladesh reside in rural areas, with access to electricity greatly enhanced under the Rural Electrification Program from only 250 villages in 1971 to 39,684 villages, raising the standards of living and poverty rates (<xref ref-type="bibr" rid="B30">Barkat, 2005</xref>). Power outages, particularly those lasting longer than 8 h, are increasing, most notably during the hot summer months of June, July, and August, showing the vulnerability of the electrical system to climate-change-fueled weather events (<xref ref-type="bibr" rid="B78">Pahwa, 2016</xref>), (<xref ref-type="bibr" rid="B99">Singh, 2024</xref>). As it increases in numbers and increasing energy needs, the conventional energy system that relies heavily on non-renewable resources is increasingly found wanting (<xref ref-type="bibr" rid="B80">Piyal et al., 2023</xref>; <xref ref-type="bibr" rid="B9">Ali et al., 2024</xref>). The availability of RES like solar and wind relies mainly on seasonal fluctuations in solar irradiance and wind speeds. One solution to the problem is to import HRES, which are developed to blend multiple sources of energy to minimize the effect of these fluctuations (<xref ref-type="bibr" rid="B61">Jaiswal et al., 2022</xref>; <xref ref-type="bibr" rid="B10">Ali et al., 2025a</xref>). Integrating RE sources with accessible battery capacity is vital to address the problem of stochastic power generation and over-reliance on the national grid. Solar and wind are abundant in quantity and cause no environmental cost (<xref ref-type="bibr" rid="B21">Ayua and Emetere, 2024</xref>; <xref ref-type="bibr" rid="B26">Baidya et al., 2025</xref>). A hybrid RES-based power system is the optimal option for rural electrification where extension of the utility grid is not possible (<xref ref-type="bibr" rid="B67">Krishan and Suhag, 2019</xref>).</p>
<p>Several studies have evaluated hybrid renewable energy systems (HRES) integrating PV, wind, biomass, and battery technologies to ensure reliable and sustainable power generation across diverse geographies. These investigations vary in system configurations, optimization techniques, and economic-environmental objectives, providing a broad comparative basis for assessing feasibility and performance. <xref ref-type="bibr" rid="B15">Alshammari et al. (2018)</xref> analyzed various standalone hybrid configurations to electrify remote pastoral regions in Saudi Arabia with a peak load of 18.67 kW. Their study found the PV/biomass system to be the most economically viable, yielding a TNPC of $138,521.40 and a LCOE of $0.099/kWh. In contrast (<xref ref-type="bibr" rid="B14">Alshammari and Asumadu, 2020</xref>) extended their analysis to standalone systems using harmony search and particle swarm optimization algorithms. They proposed a wind&#x2013;biomass&#x2013;PV&#x2013;battery model for island electrification, achieving a higher COE of $0.254/kWh, though it emphasized the trade-offs of standalone systems without grid support. <xref ref-type="bibr" rid="B60">Jacques Molu et al. (2023)</xref> analyzed an off-grid hybrid renewable energy system for Cameroon&#x2019;s Manoka Island, with solar, wind, biogas, and hydrogen storage. The system energized 334 residential loads with a 1082.9 kW daily consumption and 183.99 kW peak demand. Optimized cost was $0.1981/kWh, with an IRR of 9.09% and payback period of 8.76 years. Nevertheless, no grid integration analysis was conducted.</p>
<p>In Gaza (<xref ref-type="bibr" rid="B7">Al-Najjar et al., 2022</xref>) evaluated a grid-tied PV&#x2013;biogas&#x2013;battery hybrid system that achieved a 64.3% renewable energy share with a COE of $0.438/kWh. Despite not incorporating socioeconomic or environmental assessments, the study highlighted the viability of hybridization in constrained grid environments. More advanced multi-source integrations were explored by <xref ref-type="bibr" rid="B91">Sadeghi et al. (2024)</xref> in Semnan, Iran, where a hybrid PV&#x2013;wind&#x2013;biomass&#x2013;battery system achieved a COE of $0.201/kWh and an impressive 97% CO<sub>2</sub> emission reduction. <xref ref-type="bibr" rid="B95">Shah Irshad et al. (2024)</xref> further improved system efficiency through pyrolysis-based biomass utilization, achieving an exceptionally low COE of $0.027/kWh and a 92% renewable fraction. These studies underscore the value of incorporating advanced biomass technologies for cost and emission optimization.</p>
<p>In Egypt (<xref ref-type="bibr" rid="B1">Abdelsattar et al., 2024</xref>) modeled a grid-connected hybrid system in Hurghada, attaining 85% renewable penetration and an LCOE of $0.07/kWh, although initial investment remained significant. Similarly, a study on Marmara University&#x2019;s campus in Istanbul by <xref ref-type="bibr" rid="B20">Aykut and Terzi (2020)</xref> investigated four grid-connected PV&#x2013;wind&#x2013;biomass scenarios using HOMER software. The optimal configuration, featuring 1500 kW wind and 1000 kW biomass capacity, yielded an NPC of $5.62 million and COE of $0.067/kWh&#x2014;demonstrating effective campus-scale integration of renewables. Another university-focused study (<xref ref-type="bibr" rid="B94">Sera et al., 2024</xref>) examined a PV&#x2013;wind&#x2013;genset&#x2013;grid configuration and reported an LCOE of $0.0172/kWh with a 94.8% renewable energy fraction. This represents one of the most cost-effective and high-penetration systems, emphasizing the potential of hybrid systems in institutional or urban applications. <xref ref-type="bibr" rid="B66">Kasaeian et al. (2019)</xref> designed a grid-connected PV/diesel/biogas system, analyzing it under varying economic conditions. The hybrid system reduced emissions and diesel dependency. Limitations included biogas feedstock availability. The study highlighted hybrid systems&#x27; role in sustainable energy solutions.</p>
<p>Collectively, these studies illustrate the diversity in HRES design based on geographic, economic, and load-specific constraints. Standalone systems, though beneficial for remote areas, often incur higher costs due to battery reliance, whereas grid-connected models in urban or semi-urban contexts leverage external supply to reduce both COE and renewable intermittency impacts. Furthermore, the incorporation of advanced biomass conversion methods, such as pyrolysis, significantly enhances system efficiency and sustainability, suggesting a clear research direction for future energy planning.</p>
<p>Despite many studies on hybrid renewable energy systems, several gaps remain. Most previous works in Bangladesh have emphasized solar&#x2013;diesel or PV&#x2013;wind combinations with limited focus on biomass resources, and very few have integrated biogas into techno-economic optimization for rural electrification. In addition, many studies consider purely off-grid systems and do not account for grid interactions, reliability challenges, and emissions trade-offs. Furthermore, case-specific investigations for rural regions such as Kushtia are scarce, even though resource availability and community demand profiles differ significantly across the country.</p>
<p>To address these gaps, this research develops and analyzes a grid-connected hybrid PV&#x2013;wind&#x2013;biogas&#x2013;battery system tailored to a rural community in Kushtia, Bangladesh. The novelty of this work lies in three aspects: (i) incorporation of locally available biogas resources into the hybrid mix alongside solar and wind, (ii) evaluation of grid-connected operation with reliability considerations and sensitivity analysis of tariffs and grid outages, and (iii) demonstration of significant cost and emissions reductions (LCOE of 0.0212 $/kWh and nearly 79% CO<sub>2</sub> reduction) through an optimized configuration. By highlighting these contributions, the study advances knowledge on sustainable rural electrification and provides a replicable framework for other developing regions with similar resource conditions.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<label>2</label>
<title>Materials and methods</title>
<p>In this study, a general techno-economic optimization framework was adopted to design the hybrid renewable energy system. The main objective was to minimize the NPC and LCOE while ensuring reliable electricity supply for the target community. The decision variables were the installed capacities of photovoltaic panels, wind turbines, a biogas generator, and a battery energy storage system. The optimization process was constrained by the requirement of demand&#x2013;supply balance at each time step, zero unmet load, and maximization of renewable energy penetration within economic feasibility. System performance was evaluated using NPC, LCOE, renewable fraction, annual energy balance, and CO<sub>2</sub> emission reduction. After formulating this general framework, the implementation was carried out in HOMER Pro, which performed the hourly simulations and optimization based on the resource, load, and cost inputs.</p>
<sec id="s2-1">
<label>2.1</label>
<title>HOMER Pro software</title>
<p>HOMER Pro is hybrid renewable energy system simulation and optimization software, version 3.14.2 to be precise. Drawing on a user base established through decades of working with distributed power systems, it is among the most popular pieces of software available on the market for the optimization, design, and analysis of microgrids and renewable energy systems worldwide (<xref ref-type="bibr" rid="B69">Mahmu et al., 2022</xref>). The National Renewable Energy Laboratory developed a simulation package in the form of HOMER to assist the respective stakeholders in selecting the most appropriate energy mix for renewable microgrids (<xref ref-type="bibr" rid="B52">HOMER, 2022</xref>). HOMER models, analyzes technical feasibility, and optimizes architectures of complex hybrid power systems. HOMER models, analyzes technical feasibility, and designs complex hybrid power systems. It predicts life-cycle cost, performance, and distributed generation for remote sites, which makes microgrid design problems simpler (<xref ref-type="bibr" rid="B100">Solving Problems with HOMER, 2024</xref>). HOMER Pro simulates a wide range of renewable and non-renewable energy systems and features advanced applications like battery backup and hydrogen systems (<xref ref-type="bibr" rid="B36">Douiri, 2019</xref>). Its calculation module optimizes the system configuration based on technical and economic criteria like NPC and COE. HOMER Pro is a sophisticated simulation tool with consideration like resource availability, load demand, and operational constraints; It simulates system configurations to determine the most economic and optimal solution for the hybrid renewable energy system (<xref ref-type="bibr" rid="B54">Hossain et al., 2019</xref>). <xref ref-type="fig" rid="F3">Figure 3</xref> shows HOMER Pro architecture which allows the customer to select the optimal hybrid renewable energy system considering budget and technological benefits (<xref ref-type="bibr" rid="B101">Sultana et al., 2021</xref>; <xref ref-type="bibr" rid="B87">Razmjoo et al., 2019</xref>). The system simulates through the input parameters: load, resources, components, and optimization criteria. HOMER Pro is a comprehensive financial and environmental analysis tool that calculates payback periods, capital expenditures, and operating expenses, providing information on a project&#x2019;s financial viability and evaluating carbon emissions.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Architecture of HOMER Pro software.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g003.tif">
<alt-text content-type="machine-generated">Flowchart of a HOMER Simulation process. Inputs include Load, Resources, Components, and Optimization. Outputs are Optimal System Category, Net Present Cost, Cost of Energy Saving, and Excess Electricity Fraction. Further details include Total Capital Cost, Fuel Consumption, and Renewable Fraction.</alt-text>
</graphic>
</fig>
<p>The work flow in HOMER Pro is shown in <xref ref-type="fig" rid="F4">Figure 4</xref> design data set and system configuration input, first performance testing with base-line simulation (<xref ref-type="bibr" rid="B9">Ali et al., 2024</xref>). System performance with variations sensitivity analysis, identification of critical variables, least cost, maximum reliability, and minimum emissions optimization, along with feasibility.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Methodology flowchart of the proposed work.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g004.tif">
<alt-text content-type="machine-generated">Flowchart for a microgrid system design process: Start by entering location and system data. Configure the system, run a baseline simulation, and check performance criteria. If not met, identify critical variables. If met, perform a sensitivity analysis and analyze results. Check for unacceptable scenarios; if none, optimize the system. Conduct a final evaluation and end.</alt-text>
</graphic>
</fig>
<p>HOMER Pro minimizes battery storage too, trading energy reliability for expense, and models life-cycle expenses and environmental effects in a manner that microgrids are economical, sustainable, and future-proof for energy requirements (<xref ref-type="bibr" rid="B16">Alyahya et al., 2025</xref>; <xref ref-type="bibr" rid="B112">Zou et al., 2024</xref>; <xref ref-type="bibr" rid="B58">Imanloozadeh et al., 2024</xref>).</p>
<p>HRES integrates all the various renewable energy sources, including WT, solar PV, BioGen, BESS, and grid power, in the pursuit of constant energy supply with increased efficiency (<xref ref-type="bibr" rid="B17">Amer et al., 2013</xref>). <xref ref-type="fig" rid="F5">Figure 5</xref> shows HRES schematic diagram which represents a hybrid renewable energy system for electricity supply at a high school and village. It is integrated with solar PV, wind turbines, a biogas generator, and the grid, while BESS assures reliability. This system increases energy access and reduces outages, adding to the sustainability of energy within the region. It has lower maintenance requirements, hence increasing energy reliability and integration with other renewable sources within urban settings characterized by turbulent winds (<xref ref-type="bibr" rid="B70">Mohammed et al., 2021</xref>; <xref ref-type="bibr" rid="B27">Balduzzi et al., 2020</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>HRES schematic diagram of the proposed microgrid.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g005.tif">
<alt-text content-type="machine-generated">Diagram illustrating a microgrid system connecting a high school and village to various energy sources: solar PV array, BESS (Battery Energy Storage System), wind turbine, biogas generator, and the main grid. Arrows indicate the flow of energy between components.</alt-text>
</graphic>
</fig>
<p>This hybrid energy system consists of an AC and DC power source for supplying residential loads and a high school which is shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. The AC sources are BioGen, WT, and the grid, while solar PV and BESS act as DC sources. A converter is used to do AC-DC conversion with maximum possible effectiveness. This installation delivers 1114.5 kWh/day to the houses and 33.52 kWh/day to the school, which provides reliable access to energy while reducing dependency on the conventional grid.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>HOMER Pro simulation schematic for the proposed microgrid.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g006.tif">
<alt-text content-type="machine-generated">Diagram illustrating an energy system with AC and DC components. The AC section includes inputs from bioenergy, grid, and wind turbines (WT) supporting residential and high school loads. The residential load consumes 1114.50 kilowatt-hours per day with a 239.30-kilowatt peak, while the high school load uses 33.52 kilowatt-hours per day with a 4.26-kilowatt peak. A converter connects AC and DC sections. The DC segment features photovoltaic (PV) panels and a battery energy storage system (BESS). Arrows indicate energy flow direction between components.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-2">
<label>2.2</label>
<title>Site location</title>
<p>Research location is Bahirmadi, a rural village in the Daulatpur Upazila of Bangladesh&#x2019;s Kushtia district (24.0603&#xb0; N, 88.8093&#xb0; E). The region is predominantly residential and educational in nature with intensive agricultural activity and development prospect. But frequent and unannounced grid power outages adversely affect the life of the people and impede the study process at the adjacent high school. These disruptions hamper students&#x27; learning performance and capability to utilize computer-based learning materials. In an attempt to address such a challenge, the study looks into alternative, modern, and greener power sources suitable for application in such rural areas. The aim is to enhance the stability of power supply to households and learning institutions as well. <xref ref-type="fig" rid="F7">Figure 7</xref> is a diagram showing a map of the geographic location of the research area&#x2014;within Bangladesh, Kushtia district, and specifically Bahirmadi village. By resolving the current energy crisis, this research hopes to improve educational access, aid in attaining sustainability goals, and advance socio-economic development for the residents as well as the Bahirmadi school system.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Geographic positioning of the study area.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g007.tif">
<alt-text content-type="machine-generated">A collage showing the location of Bahirmadi in Bangladesh. The images include a map of Asia highlighting Bangladesh, a detailed map marking Bahirmadi near the Padma River, a two-story school building with trees, and traditional houses surrounded by greenery and a pond.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-3">
<label>2.3</label>
<title>Demand profile</title>
<p>
<xref ref-type="table" rid="T1">Table 1</xref> displays Bahirmadi village&#x2019;s load profile in Kushtia District, including residential and local high school energy needs. The overall per-day energy demand for every house is estimated at 11.271 kWh. For 100 residences, total residential energy load amounts to approximately 1114.5 kWh/day. The load for the local high school, which is dominated by lighting, ceiling fans, desktop computers, and a water pump, is approximated at 33.52 kWh/day. Ceiling fans and refrigerators account for most of the energy use in homes, whereas the high school demands a lot of power for lighting and computer learning facilities. This detailed load calculation is required for proper energy distribution planning and interconnecting renewable energy systems to offer a constant and sustainable power supply to Bahirmadi area.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Load profile of residential and high school.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center"/>
<th align="center">Load description</th>
<th align="center">Quantity</th>
<th align="center">Power (W)</th>
<th align="center">Total power (W)</th>
<th align="center">On time (h/d)</th>
<th align="center">Total energy (kWh/days)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="7" align="center">Residential</td>
<td align="center">Light</td>
<td align="center">6</td>
<td align="center">15</td>
<td align="center">90</td>
<td align="center">12</td>
<td align="center">1.08</td>
</tr>
<tr>
<td align="center">Street Light</td>
<td align="center">1</td>
<td align="center">15</td>
<td align="center">15</td>
<td align="center">11</td>
<td align="center">0.165</td>
</tr>
<tr>
<td align="center">Ceiling fan</td>
<td align="center">3</td>
<td align="center">60</td>
<td align="center">180</td>
<td align="center">8</td>
<td align="center">1.44</td>
</tr>
<tr>
<td align="center">Refrigerator</td>
<td align="center">1</td>
<td align="center">300</td>
<td align="center">300</td>
<td align="center">24</td>
<td align="center">7.2</td>
</tr>
<tr>
<td align="center">Television</td>
<td align="center">1</td>
<td align="center">80</td>
<td align="center">80</td>
<td align="center">8</td>
<td align="center">0.64</td>
</tr>
<tr>
<td align="center">Water pump</td>
<td align="center">1</td>
<td align="center">746</td>
<td align="center">746</td>
<td align="center">1</td>
<td align="center">0.746</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">Total &#x3d;</td>
<td align="center">11.271</td>
</tr>
<tr>
<td rowspan="7" align="center">High School</td>
<td align="center">Light</td>
<td align="center">60</td>
<td align="center">15</td>
<td align="center">900</td>
<td align="center">8</td>
<td align="center">7.2</td>
</tr>
<tr>
<td align="center">Ceiling fan</td>
<td align="center">40</td>
<td align="center">60</td>
<td align="center">2400</td>
<td align="center">7</td>
<td align="center">16.8</td>
</tr>
<tr>
<td align="center">PC</td>
<td align="center">5</td>
<td align="center">200</td>
<td align="center">1000</td>
<td align="center">6</td>
<td align="center">6</td>
</tr>
<tr>
<td align="center">Printer</td>
<td align="center">3</td>
<td align="center">150</td>
<td align="center">450</td>
<td align="center">2</td>
<td align="center">0.9</td>
</tr>
<tr>
<td align="center">Projector</td>
<td align="center">2</td>
<td align="center">250</td>
<td align="center">500</td>
<td align="center">3</td>
<td align="center">1.5</td>
</tr>
<tr>
<td align="center">Water pump</td>
<td align="center">1</td>
<td align="center">1120</td>
<td align="center">1120</td>
<td align="center">1</td>
<td align="center">1.12</td>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">Total &#x3d;</td>
<td align="center">33.52</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The rural demand profile was generated using a bottom-up device-usage model calibrated with published surveys. While this approach approximates rural demand, measured load data would provide higher accuracy and is recommended for future studies.</p>
<sec id="s2-3-1">
<label>2.3.1</label>
<title>Residential load</title>
<p>The pattern of residential electricity demand for Bahirmadi village is illustrated in <xref ref-type="fig" rid="F8">Figure 8</xref> under the variations of daily, seasonal, and yearly. The daily profile shows peak usage between 17:00 and 20:00 h with maximum consumption, driven by lighting, ceiling fan usage, and refrigerator use during the evening. The seasonal profile shows consistent energy consumption throughout the year with slightly higher peaks during the hot summer months (May&#x2013;August), most likely with higher cooling loads. The daily hourly consumption patterns are plotted annually in a heatmap of 365 days and reveal persistent diurnal patterns with increased intensity at night and zero load during late nights. This thorough analysis of demand covering the cluster of 100 households representing a total daily demand of &#x223c;1114.5 kWh is essential for hybrid renewable energy system optimization and design aimed at minimizing grid unreliability and maximizing energy availability in rural household settings.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Daily, Seasonal and Yearly load profile for residential load.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g008.tif">
<alt-text content-type="machine-generated">Three profiles of energy usage are shown. The daily profile shows a bar chart of kilowatts peaking around 18:00. The seasonal profile is a box plot, with kilowatt usage peaking in July. The yearly profile is a heat map, ranging from zero to two hundred fifty kilowatts, with higher usage in the middle of the year.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-3-2">
<label>2.3.2</label>
<title>Commercial load</title>
<p>
<xref ref-type="fig" rid="F9">Figure 9</xref> shows the daily, seasonal, and yearly load profile of a high school in Bahirmadi village, Kushtia District, having a peak load of 4.26 kW. In the daily profile, energy consumption rises in the morning to a peak from 12:00 to 15:00 and gradually decreases after school hours. The seasonal profile has showed fluctuations across months, with the highest demand observed in August and July. The yearly profile heatmap visualizes the hourly variation over the year, showing quite consistent daytime consumptions. The total daily energy demand of 33.52 kWh suggests that power management strategies, including renewable integration, might help in making energy use in schools more efficient and sustainable.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Daily, Seasonal and Yearly load profile for high school. These base profiles were scaled to represent 100 households plus one school, giving &#x223c;1,148 kWh/day (&#x2248;419 MWh/yr). This represents a realistic community-scale cluster, not just a single household.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g009.tif">
<alt-text content-type="machine-generated">Three graphs display energy usage profiles. The daily profile (top left) shows peak usage around noon, decreasing in the evening. The seasonal profile (top right) uses box plots indicating higher variability and peak energy use in summer months, particularly June to August. The yearly profile (bottom) is a heat map depicting energy consumption throughout the year, with color intensity indicating higher usage, peaking mid-year.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec id="s2-4">
<label>2.4</label>
<title>Renewable resource analysis</title>
<p>In general, the data required for the simulation of HOMER are renewable energy resources, namely, solar radiation, clearness index, temperature, and wind speed at a particular location. Data on solar irradiation of the selected site was downloaded from the internet from the database of NASA Surface Meteorology and Solar Energy (<xref ref-type="bibr" rid="B76">NASA POWER, 2024</xref>). Simulation is done with different renewable resources. Data of these resources were collected from different sources. HOMER Pro uses NASA&#x2019;s long-term averaged climate data, normally over a 22-year period-the default being between 1983 and 2005-which is then averaged out for the site in question regarding temperature, wind speed, and solar radiation (<xref ref-type="bibr" rid="B38">Eckman and Stackhouse, 2012</xref>).</p>
<sec id="s2-4-1">
<label>2.4.1</label>
<title>Solar Irradiation and Clearness Index</title>
<p>This <xref ref-type="fig" rid="F10">Figure 10</xref> depicts the monthly fluctuation of clearness index and daily solar radiation at Bahirmadi village, Daulatpur Upazila, Kushtia District. The clearness index ranges between 0.398 in July and 0.659 in February, indicating significant variation of atmospheric clarity under changing seasonal weather patterns. Similarly, daily solar radiation ranges between 6.33 kWh/m<sup>2</sup>/day in April and 4.03 kWh/m<sup>2</sup>/day in September. Higher radiation levels from February to May reflect favorable solar energy generation conditions for the period. Combining the clearness index and radiation examination is necessary for enhancing photovoltaic system efficiency and sustainable solar energy planning in rural Bangladesh. In respect to this variability, solar energy systems should consider this, therefore having supplemental sources of energy from either wind or biogas whenever the radiation is low (<xref ref-type="bibr" rid="B81">POWER, 2025</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Solar Irradiation and Clearness Index for the site.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g010.tif">
<alt-text content-type="machine-generated">Bar chart showing monthly daily radiation in kilowatt-hours per square meter per day, depicted in green bars, and clearness index as a blue line. Radiation peaks in April with a decline in June, while the clearness index peaks in October.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-4-2">
<label>2.4.2</label>
<title>Temperature</title>
<p>
<xref ref-type="fig" rid="F11">Figure 11</xref> represents Bahirmadi village, Daulatpur Upazila, Kushtia District monthly average temperature profile. The temperature ranges from a low of 17.66 &#xb0;C in January to a high of 32.52 &#xb0;C in May. There is an increasing trend from January to May and a gradual descent towards December. This temperature trend signifies typical climatic conditions in the region with high summer temperatures affecting cooling load and system performance. Understanding this temperature variation is critical for the design of effective renewable energy systems and thermal load calculations. This data helps in climate assessment and energy planning. Higher temperature linearly impacts the efficiency of the PV module as it increases the internal resistance of the photovoltaic panels (<xref ref-type="bibr" rid="B37">Dubey et al., 2013</xref>).</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Monthly temperature variation for the site.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g011.tif">
<alt-text content-type="machine-generated">Bar chart showing monthly average temperatures in degrees Celsius. January starts at 17.66, peaking in May at 32.52, then decreases to 18.52 by December.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-4-3">
<label>2.4.3</label>
<title>Biomass Resource</title>
<p>
<xref ref-type="fig" rid="F12">Figure 12</xref> shows monthly biomass availability at Bahirmadi village, Upazila Daulatpur, Kushtia District, with a uniformly distributed supply of 9 tonnes/day for each month of the year. The biogas generator was assumed to operate on cow dung, poultry manure, and rice straw residues, which are abundantly available in Bahirmadi and widely used in rural Bangladesh for biogas production. This uniform availability is characteristic of a dependable and consistent biomass resource, possibly derived from farm waste and organic rubbish. Such consistency is critical in planning and implementing biomass-derived hybrid energy systems, offering a steady fuel supply for power production and ensuring greater reliability in renewable energy supply.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Sustainable Biomass Availability Per Month for the site.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g012.tif">
<alt-text content-type="machine-generated">Bar graph showing biomass production in tonnes per day across the months from January to December. Each month consistently reports a biomass level of nine tonnes per day.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s2-4-4">
<label>2.4.4</label>
<title>Wind speed</title>
<p>This <xref ref-type="fig" rid="F13">Figure 13</xref> illustrates monthly average wind speed variation in Bahirmadi village, Daulatpur Upazila, Kushtia District. Wind speeds range from the lowest of 3.41 m/s during October to the highest of 5.53 m/s during June. Higher wind speeds are seen between April and August, aligning with the pre-monsoon and monsoon periods, which are optimal for wind power generation. Seasonal possibility of integrating wind power is evident in the data, particularly during mid-year months. Identification of wind speed patterns is crucial in assessing turbine efficiency and optimal hybrid renewable system design for rural electrification sustainability in the area. In fact, this information is significant for assessing wind energy potential, wind turbine placement, and renewable system design. The output of a WT is also related directly to the wind speed itself; higher wind speeds generate more electricity, and <italic>vice versa</italic> (<xref ref-type="bibr" rid="B104">Wind power, 2025</xref>).</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Seasonal Wind Speed Fluctuations for the site.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g013.tif">
<alt-text content-type="machine-generated">Bar chart displaying monthly average wind speeds in meters per second. June has the highest speed at 5.53, while December is the lowest at 3.6. Speeds gradually increase from January to June and decrease to December.</alt-text>
</graphic>
</fig>
<p>Since site-specific ground-validated meteorological and detailed rural load data were not publicly available, satellite-based datasets and a bottom-up device-usage load estimation were used. This approach is a standard practice when field measurements are unavailable.</p>
</sec>
</sec>
<sec id="s2-5">
<label>2.5</label>
<title>Modeling the components</title>
<p>One of the most important steps to be carried out before judgment on sizing and performance of a hybrid energy system under given conditions is modeling of its components. The subsequent section describes the mathematical modeling of the recommended components of HRES.</p>
<sec id="s2-5-1">
<label>2.5.1</label>
<title>Solar PV system</title>
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</mml:mrow>
</mml:math>
</inline-formula> is Ambient temperature at NOCT (usually 20 &#xb0;C), <inline-formula id="inf12">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi>G</mml:mi>
<mml:mrow>
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<mml:mi>T</mml:mi>
</mml:mrow>
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</mml:mrow>
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</inline-formula> is Solar irradiance at NOCT (usually 800 W/m<sup>2</sup>), <inline-formula id="inf13">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
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<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b1;</mml:mi>
<mml:mi>p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is Temperature coefficient of power loss (1/&#xb0;C) and <inline-formula id="inf15">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3c4;</mml:mi>
<mml:mi>a</mml:mi>
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</mml:mrow>
</mml:math>
</inline-formula> is Transmittance-absorptance product (dimensionless).</p>
</sec>
<sec id="s2-5-2">
<label>2.5.2</label>
<title>WT model</title>
<p>HOMER employs a robust platform for modeling wind power production by integrating environmental, physical, and technical factors in order to achieve accurate power output prediction. The procedure begins with the inputting of wind resource data, typically time series at hourly or sub-hourly resolution. A significant initial step is scaling reference wind speed data to the WT hub height, for which two advanced methods are offered by HOMER: the power law method, widely used for general applications and expressed in <xref ref-type="disp-formula" rid="e3">Equation 3</xref> (<xref ref-type="bibr" rid="B29">Barakat et al., 2024</xref>; <xref ref-type="bibr" rid="B47">G&#xfc;ven and Mahmoud Samy, 2022</xref>), and the logarithmic law method, preferred for complex terrains where higher precision is required and planned in <xref ref-type="disp-formula" rid="e4">Equation 4</xref> (<xref ref-type="bibr" rid="B94">Sera et al., 2024</xref>). Actual conditions usually vary because of air density variations, which HOMER adjusts for through a density adjustment calculation, described in <xref ref-type="disp-formula" rid="e5">Equations 5</xref>, <xref ref-type="disp-formula" rid="e6">6</xref> (<xref ref-type="bibr" rid="B40">El-Maaroufi et al., 2024</xref>; <xref ref-type="bibr" rid="B31">Bilal et al., 2025</xref>). Besides, HOMER simulates system losses by a multiplicative sequence of efficiency factors, as described in <xref ref-type="disp-formula" rid="e7">Equation 7</xref>.<disp-formula id="e3">
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<label>(3)</label>
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<label>(4)</label>
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<label>(5)</label>
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<label>(6)</label>
</disp-formula>
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<label>(7)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-5-3">
<label>2.5.3</label>
<title>Biogas system</title>
<p>Biomass, which includes agricultural waste wood, livestock and human waste, is an abundant and undoubtedly old source of energy. Biogas is a admixture that consists of carbon dioxide (CO2) and methane (CH4) (<xref ref-type="bibr" rid="B65">Kaldellis, 2010</xref>). A 50 kW generator set is for backup, if power from solar resources and grid is not provide to fulfil the demands. Livestock manure is used to generate biogas for electricity. The total annual manure from nearby villages can be estimated (<xref ref-type="bibr" rid="B90">Rehan, 2024</xref>). An assessment was conducted to determine the potential for producing biomass energy and electricity using the available manure by <xref ref-type="disp-formula" rid="e8">Equations 8</xref>&#x2013;<xref ref-type="disp-formula" rid="e10">10</xref> (<xref ref-type="bibr" rid="B96">Shahzad et al., 2017</xref>; <xref ref-type="bibr" rid="B39">Efficiency, 2012</xref>; <xref ref-type="bibr" rid="B86">Ranjan Pradhan et al., 2019</xref>).<disp-formula id="e8">
<mml:math id="m23">
<mml:mrow>
<mml:mi>M</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
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<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>n</mml:mi>
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</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where M is the amount of manure produced in 1 year (tons), N<sub>i</sub> is the total number of animals, m<sub>i</sub> is manure produced by a single animal, n is the number of specific group of animals,<disp-formula id="e9">
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</mml:mstyle>
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<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mrow>
<mml:mi>O</mml:mi>
<mml:mi>M</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>v</mml:mi>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
<p>V<sub>b</sub> is the biogas volume per year (m<sup>3</sup>) from livestock manure, K<sub>Dmi</sub> is dry contents in manure, K<sub>Omi</sub> is organic contents in dry material, <sub>Bi</sub> is specific biogas output (m<sup>3</sup>/tons),<disp-formula id="e10">
<mml:math id="m25">
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>B</mml:mi>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>K</mml:mi>
<mml:mi>e</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mi>c</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>while P is the biomass energy generation (kW), K<sub>e</sub> is the coefficient of plant efficiency usually 0.4, T<sub>c</sub> is yearly operation hours of plant. The biomass electricity generation can be estimated by using following <xref ref-type="disp-formula" rid="e11">Equation 11</xref>.<disp-formula id="e11">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>a</mml:mi>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>1000</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>C</mml:mi>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>M</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mn>860</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>operating</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mtext>hours</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>day</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-5-4">
<label>2.5.4</label>
<title>Converter</title>
<p>The installation of the power conversion equipment in HOMER&#x2019;s model framework becomes extremely important while planning IHRES systems with both AC and DC components (<xref ref-type="bibr" rid="B73">Mokhtara et al., 2021</xref>). This conversion stage provides the capability for AC-DC or DC-AC transformation of electricity to ensure optimized power flow regulation for IHRES. Because there is bound to be some loss of energy, the power input and output to the converter are connected through its rate of conversion efficiency, less than 100%, as illustrated in <xref ref-type="disp-formula" rid="e12">Equation 12</xref> (<xref ref-type="bibr" rid="B46">G&#xfc;ve et al., 2022</xref>; <xref ref-type="bibr" rid="B24">Ba-swaimi et al., 2025</xref>).<disp-formula id="e12">
<mml:math id="m27">
<mml:mrow>
<mml:msubsup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msubsup>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-5-5">
<label>2.5.5</label>
<title>Battery Storage</title>
<p>The battery energy storage system is the most significant component of the hybrid generation system of all the components. The SOC of the battery will differ between any two time instants t and t &#x2212; 1 based on whether the battery can be done using the <xref ref-type="disp-formula" rid="e13">Equation 13</xref> below (<xref ref-type="bibr" rid="B22">Azahra et al., 2020</xref>). The calculation of the SOC of the battery can be done using the <xref ref-type="disp-formula" rid="e13">Equation 13</xref> below (<xref ref-type="bibr" rid="B107">Xia et al., 2021</xref>):<disp-formula id="e13">
<mml:math id="m28">
<mml:mrow>
<mml:mtext>SOC</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mtext>SOC</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:msubsup>
<mml:mo>&#x222b;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:msubsup>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mtext>bat</mml:mtext>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mi mathvariant="normal">b</mml:mi>
</mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mrow>
<mml:mtext>bus</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mfrac>
<mml:mtext>dt</mml:mtext>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
</p>
<p>Where, <inline-formula id="inf16">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
<mml:mi>&#x3b7;</mml:mi>
<mml:mrow>
<mml:mi>b</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is Battery efficiency [%], L<sub>b</sub>(t) is Load power of the battery [kW], V<sub>bus</sub> is Bus voltage [volt].</p>
<p>In this microgrid, zinc-bromine flow batteries are chosen, having a very long cycle life, scalability, and suitability for medium-scale energy storage applications, hence EnerStore 50 Agile Flow Battery (<xref ref-type="bibr" rid="B33">Chen et al., 2024</xref>).</p>
</sec>
<sec id="s2-5-6">
<label>2.5.6</label>
<title>Utility grid integration</title>
<p>During electricity shortages, the grid supplies the required energy. HOMER calculates the cumulative yearly energy charge using the following <xref ref-type="disp-formula" rid="e14">Equation 14</xref> (<xref ref-type="bibr" rid="B72">Mojumder et al., 2024</xref>).<disp-formula id="e14">
<mml:math id="m30">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>E</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mtext>rates</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>y</mml:mi>
<mml:mn>12</mml:mn>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>p</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mtext>power</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mtext>rates</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>y</mml:mi>
<mml:mn>12</mml:mn>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>s</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mtext>sellback</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(14)</label>
</disp-formula>
</p>
<p>HOMER utilizes the following <xref ref-type="disp-formula" rid="e15">Equation 15</xref> to determine the total annual grid demand charge (listed after December):<disp-formula id="e15">
<mml:math id="m31">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>d</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>x</mml:mi>
<mml:mrow>
<mml:mtext>rates</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mi>y</mml:mi>
<mml:mn>12</mml:mn>
</mml:munderover>
</mml:mstyle>
<mml:mtext>&#x200a;</mml:mtext>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mi>x</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(15)</label>
</disp-formula>
</p>
</sec>
</sec>
<sec id="s2-6">
<label>2.6</label>
<title>Economic modelling</title>
<p>Economic modelling in HOMER plays a crucial role in the evaluation of the financial viability and cost-effectiveness of different configurations of energy generation systems. With the assessment of the cost and benefit effects of different system configurations, economic modelling assists stakeholders in making informed investment choices on clean and sustainable energy options (<xref ref-type="bibr" rid="B44">Ezekwem et al., 2024</xref>).</p>
<sec id="s2-6-1">
<label>2.6.1</label>
<title>NPC</title>
<p>NPC is a financial tool to measure the cost-effectiveness of a project or investment in its lifespan. It accounts for the present value of money by discounting future cash flows to their present amount. NPC is the total cost of a project, such as initial investment, operational costs, and any future revenue or savings, in present value terms. The total NPC can be determined by applying <xref ref-type="disp-formula" rid="e16">Formula 16</xref> given below (<xref ref-type="bibr" rid="B23">Aziz et al., 2020</xref>):<disp-formula id="e16">
<mml:math id="m32">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(16)</label>
</disp-formula>where<inline-formula id="inf17">
<mml:math id="m33">
<mml:mrow>
<mml:mo>,</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>C</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>i</mml:mi>
<mml:mi>s</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>N</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>t</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>P</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>t</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>U</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>D</mml:mi>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the total cost per annum and CRF is the capital recovery factor, i is the rate of interest in%, <inline-formula id="inf18">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mi>R</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>j</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is life of the project in years. Capital recovery factor is a multiplier by which present value of an annuity (a series of equal annual cash flows) can be determined. The value of CRF is determined with the aid of the following <xref ref-type="disp-formula" rid="e17">Formula 17</xref> (<xref ref-type="bibr" rid="B4">Acakpovi et al., 2020</xref>)<disp-formula id="e17">
<mml:math id="m35">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>F</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>N</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>i</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(17)</label>
</disp-formula>where N is the number of years and i is calculated using <xref ref-type="disp-formula" rid="e18">Equation 18</xref> (<xref ref-type="bibr" rid="B103">Twaha et al., 2012</xref>):<disp-formula id="e18">
<mml:math id="m36">
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>f</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(18)</label>
</disp-formula>where, <inline-formula id="inf19">
<mml:math id="m37">
<mml:mrow>
<mml:msub>
<mml:mi>i</mml:mi>
<mml:mi>o</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the nominal interest rate and f is the annual inflation rate.</p>
</sec>
<sec id="s2-6-2">
<label>2.6.2</label>
<title>LCOE</title>
<p>LCOE is found by dividing the total costs of the project (capital expenditures, operating expenditures, and fuel expenditures) by the total electricity generated during the project&#x2019;s life. It is the average cost per unit of electricity produced and can be employed to equate various energy sources or technologies. It can be employed to identify the cost competitiveness and economic viability of alternative generation of energy. The formula of LCOE is presented in <xref ref-type="disp-formula" rid="e19">Equation 19</xref> (<xref ref-type="bibr" rid="B43">Ezekwem and Muthusamy, 2023</xref>):<disp-formula id="e19">
<mml:math id="m38">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(19)</label>
</disp-formula>
</p>
<p>Where, <inline-formula id="inf20">
<mml:math id="m39">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mi>O</mml:mi>
<mml:mi>E</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>i</mml:mi>
<mml:mi>s</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mi>e</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>t</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>o</mml:mi>
<mml:mi>f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>E</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>g</mml:mi>
<mml:mi>y</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>U</mml:mi>
<mml:mi>S</mml:mi>
<mml:mi>D</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> <inline-formula id="inf21">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>t</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the annual total cost, <inline-formula id="inf22">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the AC primary load supplied, <inline-formula id="inf23">
<mml:math id="m42">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>m</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>D</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the DC primary load supplied and <inline-formula id="inf24">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>g</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the total grid sales.</p>
</sec>
<sec id="s2-6-3">
<label>2.6.3</label>
<title>IRR</title>
<p>The Internal Rate of Return (IRR): Another significant parameter to employ in assessing the financial viability of a system is the IRR. The IRR is the expected return on investment as a percentage. To calculate the IRR, the NPC will need to be reduced to zero at a given discount rate. The IRR can be calculated using <xref ref-type="disp-formula" rid="e20">Equation 20</xref> (<xref ref-type="bibr" rid="B62">Jawad et al., 2023</xref>).<disp-formula id="e20">
<mml:math id="m44">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msubsup>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi>i</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
<mml:mfrac>
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>i</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>I</mml:mi>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(20)</label>
</disp-formula>
</p>
<p>The parameters being considered are in line with the values contained in the NPC formula. The higher the IRR, the higher is the return after subtracting the costs of production (<xref ref-type="bibr" rid="B18">Ashraful Islam et al., 2024</xref>).</p>
</sec>
<sec id="s2-6-4">
<label>2.6.4</label>
<title>RF</title>
<p>RF is a measurement of the proportion of energy generated from renewable sources over the total energy generated within the system. It is dimensionless and calculated by <xref ref-type="disp-formula" rid="e21">Equation 21</xref> (<xref ref-type="bibr" rid="B75">Nallolla and Vijayapriya, 2022</xref>):<disp-formula id="e21">
<mml:math id="m45">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>F</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(21)</label>
</disp-formula>
</p>
<p>Where, <inline-formula id="inf25">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the non-renewable generation of electricity (kWh/yr), <inline-formula id="inf26">
<mml:math id="m47">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the non-renewable generation of heat (kWh/yr), <inline-formula id="inf27">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the total served electrical load (kWh/yr) and <inline-formula id="inf28">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mi>s</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the total served thermal load (kWh/yr).</p>
<p>For the economic analysis, a project lifetime of 25 years, a nominal discount rate of 15%, and an inflation rate of 9% were assumed, consistent with HOMER Pro&#x2019;s financial model. These values were applied in the calculation of NPC and LCOE.</p>
</sec>
</sec>
<sec id="s2-7">
<label>2.7</label>
<title>Techno-economic specifications</title>
<p>The techno-economic variables give the rated capacities, capital and replacement costs, and annual O&#x26;M costs of the major system components, including the PV system, WT, and power converter which is shown in <xref ref-type="table" rid="T2">Table 2</xref>. Generic 10 kW horizontal-axis wind turbines (HAWTs) was used in the microgrids that offer an inexpensive, scalable, and low-maintenance solution that is more powerful and efficient than vertical-axis turbines, but delivers reliable decentralized energy production (<xref ref-type="bibr" rid="B110">Zahariea et al., 2018</xref>; <xref ref-type="bibr" rid="B105">Winslow, 2017</xref>). The system includes PV modules rated at 1 kW, a 10 kW WT, a 1 kW converter, a 1 kW BioGen, and a 50 kWh BESS. Capital and replacement costs are detailed for each component, with PV and WT systems having the highest initial investment per kW. The variables are needed to determine system performance, estimate life cycle cost, and conduct financial analysis for ensuring the viability and sustainability of the hybrid renewable energy system.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Techno-Economical summary of the components.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Parameter</th>
<th align="center">PV</th>
<th align="center">WT</th>
<th align="center">Converter</th>
<th align="center">BioGen</th>
<th align="center">BESS</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Rated Capacity</td>
<td align="center">1 kW</td>
<td align="center">10 kW</td>
<td align="center">1 kW</td>
<td align="center">1 kW</td>
<td align="center">50 kWh</td>
</tr>
<tr>
<td align="center">Capital Cost ($)</td>
<td align="center">300/kW</td>
<td align="center">3000/unit</td>
<td align="center">118/kW</td>
<td align="center">85/kW</td>
<td align="center">760</td>
</tr>
<tr>
<td align="center">Replacement Cost ($)</td>
<td align="center">300/kW</td>
<td align="center">3000/unit</td>
<td align="center">100/kW</td>
<td align="center">70/kW</td>
<td align="center">700</td>
</tr>
<tr>
<td align="center">O&#x26;M Cost ($/yr)</td>
<td align="center">10/kW</td>
<td align="center">50/unit</td>
<td align="center">10/kW</td>
<td align="center">0.07/kW</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center">References</td>
<td align="center">
<xref ref-type="bibr" rid="B85">Ramesh and Saini (2020)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B53">Horizontal Axis Wind Turbine (2022)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B83">Rahmat et al. (2022)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B12">Alibaba (2022)</xref>
</td>
<td align="center">
<xref ref-type="bibr" rid="B74">Muna and Kuo (2022)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Result and discussion</title>
<p>Among the 2,743 solutions simulated, 2,073 were feasible, while 670 were infeasible due to capacity shortage constraints. Additionally, 629 solutions were excluded for other reasons: 363 lacked a necessary converter, and 186 included an unnecessary converter. Notably, no solutions were omitted due to infeasibility outside of these specific technical constraints. This breakdown highlights the critical importance of proper component selection&#x2014;particularly converter configuration&#x2014;and capacity planning in the design of an efficient and effective microgrid system. To support robust decision-making, a 25-year planning horizon was applied using an hourly time-series simulation for various feasible microgrid scenarios. HOMER Pro analyzed nine hybrid energy systems which is shown in <xref ref-type="table" rid="T3">Table 3</xref>. Optimal configurations combined PV-wind-BioGen with batteries to achieve up to an 86.3% renewable fraction, which minimized CO<sub>2</sub> emissions. While PV-wind alone was cost-effective, batteries improved reliability and reduced unmet load. Challenges include intermittency, high initial costs, and the need for strategic planning and policy support.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Summary of the different case study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Components</th>
<th align="center">Case study</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">BESS-Grid-Converter</td>
<td align="center">Base Case</td>
</tr>
<tr>
<td align="center">PV-WT-BioGen-BESS-Grid-Converter</td>
<td align="center">Case-I</td>
</tr>
<tr>
<td align="center">PV-WT-BioGen-Grid-Converter</td>
<td align="center">Case-II</td>
</tr>
<tr>
<td align="center">PV- BioGen-BESS-Grid-Converter</td>
<td align="center">Case-III</td>
</tr>
<tr>
<td align="center">PV-BioGen-Grid-Converter</td>
<td align="center">Case-IV</td>
</tr>
<tr>
<td align="center">WT-BioGen-BESS-Grid-Converter</td>
<td align="center">Case-V</td>
</tr>
<tr>
<td align="center">WT-BESS-Grid-Converter</td>
<td align="center">Case-VI</td>
</tr>
<tr>
<td align="center">WT-BioGen-Grid</td>
<td align="center">Case-VII</td>
</tr>
<tr>
<td align="center">BioGen-BESS-Grid-Converter</td>
<td align="center">Case-VIII</td>
</tr>
<tr>
<td align="center">BioGen-Grid</td>
<td align="center">Case-IX</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s3-1">
<label>3.1</label>
<title>Techno economic analysis</title>
<p>This study evaluates the feasibility, affordability, and sustainability of energy systems for residential and commercial facilities by integrating grid connectivity, energy storage solutions, and renewable energy sources. The objective is to ensure a reliable power supply, minimize operational costs, and promote environmentally friendly alternatives suited for diverse user demands in both living and business environments.</p>
<p>
<xref ref-type="fig" rid="F14">Figure 14</xref> entitled &#x201c;Breakdown of Financial Parameters: a) NPC and COE, b) Capital and Operating Costs&#x201d; presents the economic comparison between all the cases. Plots (a) and (b) show a comparison of the performance of economics for various microgrid alternatives with respect to total cost, energy cost, capital outlay, and yearly operating cost. The base case is the highest with respect to the total cost at $531,778.90 and the energy cost at $0.09461 per kilowatt-hour, with low cost efficiency even though there is very little upfront expenditure. Case I has the minimum total cost of $189,744.20 and energy cost of $0.02116, followed by Case II, $205,719.50 and $0.02194, respectively. The findings reflect the economic benefit of optimally adjusted hybrid systems. Cases III to VIII reflect a steady increase in both parameters, Case IX approaching the base case at $515,582.30 and $0.09142, representing moderate cost improvement. Figure (b) graphs the initial capital cost against annual operating cost. The base case has lowest required capital at $26,076.65 but highest operating expense of $37,716.66 per year, which reflects long-term inefficiency. Case I and Case II also have capital expenditures of $121,419.10 and $122,496.90 but much lower operating expense of $5,095.87 and $6,206.97, respectively. Case III is also acceptable with capital expense of $117,594.00 and cost of $12,285.55 per year, which reflects a good balance. On the contrary, Cases IV, V, and VII exhibit higher annual costs with smaller investment of capital, which may discourage long-term saving. The figures demonstrate that higher initial investment in optimal configurations drastically reduces total and recurring costs, ensuring better economic returns throughout the lifetime of the system. Case I is optimum because it presents a very low NPC with low COE, which further ensures long-term cost efficiency and low operating cost that reduces stress during operations. Initial higher capital becomes insignificant compared to the overall economic benefits throughout its system life cycle.</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Breakdown of financial parameters: <bold>(a)</bold> NPC and COE, <bold>(b)</bold> capital and operating costs.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g014.tif">
<alt-text content-type="machine-generated">Two bar charts comparing financial metrics across different cases. Chart (a) displays Net Present Cost (NPC) and Cost of Electricity (COE) in dollars, with Base Case having the highest NPC. Chart (b) shows Initial Capital and Operating Cost in dollars per year, with Base Case having the highest initial capital. Each case has distinct values for each metric.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F15">Figure 15</xref> illustrates annual energy purchased and sold in various microgrid configurations. The base case captures maximum energy purchased (434,319.3 kWh) and minimum energy exported (398.36 kWh), which indicates full grid dependency. Case I and Case II perform best with lesser energy purchases (91,706.55 and 135,102.2 kWh, respectively) and maximum energy exports (249,727.2 and 280,480.1 kWh), signifying high integration of renewables and surplus generation. Cases III to VII perform moderately with varying import-export balances, whereas Cases VIII and IX have minimal export capacities and more dependence upon grid electricity. In conclusion, the figure illustrates how hybrid configurations can reduce grid dependence and enable energy trading, thereby enhancing system autonomy as well as financial performance.</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>Grid energy Exchange in various microgrid Configurations.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g015.tif">
<alt-text content-type="machine-generated">Bar chart comparing energy purchased and energy sold across ten cases. Green bars represent energy purchased in kilowatt-hours, with values ranging from 250,905 to 598,452. Purple bars represent energy sold, with values ranging from 5,226 to 434,319.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F16">Figure 16</xref> present comparative analysis on a yearly emission basis for different hybrid microgrid configurations for the major pollutants: CO<sub>2</sub>, CO, SO<sub>2</sub>, and NO<sub>x</sub>. In Figure (a), the emission of CO<sub>2</sub> is the maximum in the base case with 274,490 kg/yr, reflecting complete dependency on fossil fuel. Case I shows the maximum reduction, bringing CO<sub>2</sub> emissions down to 58,001 kg/yr (78.9% reduction), followed by Case II with 85,415 kg/yr. In all cases, CO emissions are minimal, with a slight increase in Case VIII (1.45 kg/yr). Figure (b) shows the same trend for SO<sub>2</sub> and NO<sub>x</sub> emissions, where the base case again has the highest values (1,190 kg/yr and 582 kg/yr, respectively). Case I presents the lowest SO<sub>2</sub> and NO<sub>x</sub> emissions (251 kg/yr and 123 kg/yr), respectively, validating its effectiveness in reducing air pollutants. Emissions increase from Case I to Case IX, parallel to the reduction in renewable integration. All these findings together illustrate the environmental benefit of high-renewable hybrid systems in reducing harmful air pollutants and greenhouse gas emissions and thus enabling the sustainability of energy transition in off-grid or semi-grid applications.</p>
<fig id="F16" position="float">
<label>FIGURE 16</label>
<caption>
<p>Comparative emission analysis: <bold>(a)</bold> Carbon-based and <bold>(b)</bold> Acidic/Nitrogen Oxides emissions.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g016.tif">
<alt-text content-type="machine-generated">Two bar graphs illustrate emission data across different cases. Graph (a) shows carbon dioxide and carbon monoxide emissions, with carbon dioxide being predominant, especially in the base case. Cases show varying reductions. Graph (b) depicts sulfur dioxide and nitrogen oxides emissions, with sulfur dioxide higher in the base case. Emissions generally decrease in subsequent cases.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F17">Figure 17</xref> illustrates the renewable energy fraction for various system configurations, where a drastic improvement is seen from the base case (0%) to optimized hybrid cases. The maximum RF of 86.29% is achieved for Case I, followed by 80.69% for Case II, indicating high integration of renewable resources. Mid-performance is observed in Cases III through VIII, with 42.95%&#x2013;66.45%, for various mixes of conventional and renewable sources. Case IX presents limited renewable penetration (14.48%), reflecting higher dependence on fossil-based production. Such contrast demonstrates the effectiveness of different arrangements for maximizing the proportion of renewables and reducing consumption of non-renewable resources.</p>
<fig id="F17" position="float">
<label>FIGURE 17</label>
<caption>
<p>Renewable energy contribution under optimized microgrid scenarios.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g017.tif">
<alt-text content-type="machine-generated">Bar chart showing the renewable fraction percentage for different cases. From left to right: Base Case (0%), Case I (86.28%), Case II (80.68%), Case III (59.24%), Case IV (55.31%), Case V (42.95%), Case VI (66.43%), Case VII (51.56%), Case VIII (55.90%), and Case IX (14.48%). Highlighted in green.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>Optimum result</title>
<p>Based on simulation outputs, Case I, with PV, WT, BioGen, BESS, grid, and converter, is the optimal setup. It captures the minimum NPC of $189,744, minimum COE of $0.0212, and maximum RF of 86.3% among all the cases. The initial cost is $121,419, while the operating cost per year is only $5,096, which indicates sound long-term economic viability. The base case with BESS, grid, and converter only has the highest NPC of $531,779, highest COE of $0.0946, and RF of 0% and shows the dependency on non-renewable sources and poorest economic performance. Although other cases, such as Case II and III, give reasonable performance, they have larger NPC and lower RF than Case I. Case IX and VIII with no PV or WT give very small renewable integration and higher energy cost, thus are not so good in sustainable planning.</p>
<p>The accompanying <xref ref-type="fig" rid="F18">Figure 18</xref> illustrates the cost metrics, component sizes, and renewable fractions of each case. It clearly highlights Case I&#x2019;s performance with the lowest cost indicators and highest renewable integration, confirming its optimality in the techno-economic analysis. The visual comparison supports that a system combining solar, wind, and biogas with storage and grid backup offers the most effective solution for off-grid or remote microgrid design.</p>
<fig id="F18" position="float">
<label>FIGURE 18</label>
<caption>
<p>Renewable microgrid architecture optimization in HOMER Pro.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g018.tif">
<alt-text content-type="machine-generated">A table displaying energy system parameters including PV, WT, Bio, BESS, Grid, and Converter capacities in kilowatts. Financial metrics such as NPC, COE, Operating Cost, Initial Capital, and Renewable Fraction are listed. Two rows are highlighted, showing details for a system with 250 kW PV and 5 WT. Metrics include $189,744 NPC, $0.0212 COE, $5,096 operating cost, $121,419 initial capital, and 86.3 percent renewable fraction.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F19">Figure 19</xref> shows the breakdown of costs of each component in the hybrid system by capital, operating, replacement, and salvage. The total capital cost is $121,419, with PV contributing the highest amount at $75,000, followed by the converter ($19,879) and WT ($15,000). The genset has the highest operating cost at $76,680 and grid at negative operating value (&#x2013;$76,043), which indicates avoided costs. Total operating cost is $60,097. Replacement costs amount to $14,563, mostly in the converter ($7,541) and WT ($5,136). Salvage values reduce total cost by &#x2013;$6,335, in which WT contributes the most recovery (&#x2013;$2,947). The battery, even with its small value, has a salvage of &#x2013;$122.24. This analysis points to PV as the major capital investment and the genset as the largest contributor to regular costs, presenting an unobscured image of long-term economic impacts within the system.</p>
<fig id="F19" position="float">
<label>FIGURE 19</label>
<caption>
<p>Cost breakdown for system components.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g019.tif">
<alt-text content-type="machine-generated">Stacked bar chart showing costs related to energy components. Categories include Capital, Operating, Replacement, Salvage, and Resource. Bars are color-coded: wind turbine, system converter, solar PV, grid, generic biogas genset, and battery. Operating costs are the highest, dominated by grid and solar PV. Capital costs are significant, influenced by solar PV and system converters.</alt-text>
</graphic>
</fig>
<p>The heatmap <xref ref-type="fig" rid="F20">Figure 20</xref> graph displays the performance of a 250 kW PV system with a total annual production of 388,441 kWh. Its specific yield is 1,554 kWh/kW, which is indicative of efficiency relative to capacity. The capital cost is $75,000, and the maintenance cost is $2,500 per year. The LCOE is low at $0.0208/kWh, indicating that energy production is economical. A 92.7% PV penetration depicts the highest contribution of the system to the energy mix. The heatmap represents the fluctuation with time and season, highlighting the strong performance and economic viability of the system throughout the year.</p>
<fig id="F20" position="float">
<label>FIGURE 20</label>
<caption>
<p>Annual PV electrical output heatmap.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g020.tif">
<alt-text content-type="machine-generated">Heatmap showing energy usage in kilowatts over a year, with days on the x-axis and hours on the y-axis. Bright yellow indicates high usage, while dark blue indicates low usage. Color scale ranges from 0 to 250 kW.</alt-text>
</graphic>
</fig>
<p>The heatmap <xref ref-type="fig" rid="F21">Figure 21</xref> presents the performance of a WT system composed of 5 units, each with a rated capacity of 50 kW, and a total of 250 kW. The system produces 199,469 kWh/year at 6,628 h/year operation, illustrating consistent generation. With a capital investment cost of $15,000 and an economic maintenance cost of $250/year, the installation is cost-effective. With a lifespan of 20 years, the WT system offers long-term energy returns. The space-time distribution of energy generation is illustrated by the heatmap, which captures seasonal patterns of wind and consistent performance, upholding the reliability and cost-effectiveness of the WT system during its lifecycle.</p>
<fig id="F21" position="float">
<label>FIGURE 21</label>
<caption>
<p>Annual WT electrical output heatmap.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g021.tif">
<alt-text content-type="machine-generated">Heat map displaying power usage in kilowatts over a year. The x-axis represents days of the year, while the y-axis shows hours of the day. Color intensity from blue to yellow indicates power levels from zero to sixty kilowatts.</alt-text>
</graphic>
</fig>
<p>The heatmap <xref ref-type="fig" rid="F22">Figure 22</xref> indicates the performance of a 100 kW BioGen system powered by biogas. With an annual output of 79,161 kWh and 817 operating hours/year, the system supports concentrated energy supply. It has a capital expenditure of $8,500 and a maintenance expenditure of $5,719/year. It has an operating fuel expenditure of zero and fuel usage of 238 tons/year. The system has a marginal cost of generation of $0/kWh and a fixed cost of $7.35/hour. With a 24.5-year operating lifespan, the heatmap demonstrates seasonally or demand-based generation characteristics, validating the unit&#x2019;s cost-effectiveness and reliability within renewable hybrid power systems.</p>
<fig id="F22" position="float">
<label>FIGURE 22</label>
<caption>
<p>Annual BioGen electrical output heatmap.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g022.tif">
<alt-text content-type="machine-generated">Heat map showing hourly power usage (in kilowatts) over a year with color coding from blue (0 kW) to yellow (100 kW). The x-axis represents days, while the y-axis represents hours.</alt-text>
</graphic>
</fig>
<p>The heatmap <xref ref-type="fig" rid="F23">Figure 23</xref> of the SOC of battery demonstrates its key performance parameters and operating features. The BESS has a rated capacity of 200 kWh with an expected operational life of 30 years, highlighting long-term reliability. It has an annual throughput of 118,180 kWh, which indicates great energy cycling capacity. It experiences losses of 38,966 kWh annually, illustrating efficiency constraints. It possesses capital costs of $3,040, which is the cost of the initial investment. With an autonomy of 3.76 h, the BESS can supply energy independently for a very long time during the time of peak demand or power outages.</p>
<fig id="F23" position="float">
<label>FIGURE 23</label>
<caption>
<p>Annual battery SOC (%) heatmap.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g023.tif">
<alt-text content-type="machine-generated">Heatmap showing percentage data over 360 years by hour. Y-axis represents hours from 0 to 24, X-axis shows years from 0 to 360. Color scale ranges from blue at 0 percent to yellow at 100 percent.</alt-text>
</graphic>
</fig>
<p>The heatmap <xref ref-type="fig" rid="F24">Figure 24</xref> represents the performance of a 168 kW converter operating 7,054 h/year. It delivers an average output of 44.0 kW, with values ranging from 0 kW to 168 kW, reflecting dynamic load adaptation. The converter processes 405,562 kWh/year of input energy, yielding 385,284 kWh/year as output, with losses totaling 20,278 kWh/year. Its capacity factor stands at 26.1%, indicating moderate utilization relative to its rated capacity. The heatmap captures real-time operational variations, highlighting periods of peak and low activity. This visual analysis showcases the converter&#x2019;s essential role in balancing energy flow within the system while maintaining efficiency and reliability.</p>
<fig id="F24" position="float">
<label>FIGURE 24</label>
<caption>
<p>Annual converter electrical output heatmap.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g024.tif">
<alt-text content-type="machine-generated">Heatmap showing power consumption in kilowatts over days of the year versus hours of the day. The scale ranges from blue (low consumption) to yellow (high consumption), indicating varying power usage patterns.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F25">Figure 25</xref> is a comparison of energy purchased and sold to the grid monthly for the period of 1 year. A net of 91,707 kWh was purchased and 249,727 kWh sold, which is a net export of energy. The high energy sold is evident from the months of January to April with a high in March at 27,866 kWh compared to the purchase of 6,756 kWh. Summer months (May to August) witness a regular decline in energy sold, a minimum of which is felt in August (15,938 kWh), while energy purchased increases up to a maximum of 9,308 kWh in August. September to December sees the reverse trend, with sold energy increasing and buying decreasing. The minimum buy is seen in November (5,968 kWh) but has comparatively high sales (19,799 kWh). The consistent energy surplus sold over bought in each month shows strong system performance, most likely as a result of the renewable generation. The analysis confirms the system to be an annual net exporter of electricity.</p>
<fig id="F25" position="float">
<label>FIGURE 25</label>
<caption>
<p>Monthly energy transaction breakdown.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g025.tif">
<alt-text content-type="machine-generated">Bar chart comparing monthly energy purchased and sold in kilowatt-hours. Bars representing energy purchased are pink, and those for energy sold are green. Values fluctuate across months, with energy sold consistently higher, peaking in August. The highest purchase is in December.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F26">Figure 26</xref> is a graph of the 25-year cumulative cash flow of both the proposed and current systems. The proposed system starts with a much higher cash flow that diminishes over the years, while the current system increases steadily over the years and eventually catches up with the proposed system around year 15. The economic outcome is favorable for the proposed system, with the simple payback of 2.90 years and the NPV of $342,035. The ROI is 30.2%, and the IRR is 34.4%, reflecting high investment efficiency. With a capital expenditure of $95,342 and annualized savings of $32,621, the proposed system shows rapid cost recovery and long-term financial benefits and thus is an extremely feasible alternative relative to the current setup.</p>
<fig id="F26" position="float">
<label>FIGURE 26</label>
<caption>
<p>Cumulative cash flow over project lifetime.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g026.tif">
<alt-text content-type="machine-generated">Line graph comparing cash flow over 25 years for current and proposed systems. The y-axis shows cash flow in dollars, while the x-axis shows years. The current system (blue line) increases steadily, peaking at over $450,000 in year 25. The proposed system (orange line) remains constant at just above $90,000.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F27">Figure 27</xref> shows monthly energy production (MWh) from four sources: WT, PV, Grid, and Bio. PV has the highest contribution overall, peaking at 40.87 MWh in March and bottoming out at 25.13 MWh in July. WT is highest in July (23.64 MWh) and lowest in November (10.48 MWh). Grid supply is relatively stable, ranging from 6.011 MWh (May) to 9.683 MWh (September). Bio varies moderately, with a high in July (10.32 MWh) and a low in December (3.578 MWh). Total monthly production is highest in March (&#x223c;69 MWh) and lowest in October (&#x223c;58 MWh), with evidence of seasonality in energy production.</p>
<fig id="F27" position="float">
<label>FIGURE 27</label>
<caption>
<p>Monthly renewable and grid energy production (MWh).</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g027.tif">
<alt-text content-type="machine-generated">Bar graph showing monthly energy production in megawatt-hours (MWh) for January to December. Categories include Wind Turbines (WT) in brown, Photovoltaics (PV) in green, Grid in yellow, and Biomass (Bio) in orange. Each month displays a stacked bar reaching between 35 and 70 MWh, with Wind Turbines contributing the most and Biomass the least.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F28">Figure 28</xref> illustrates the time series of power generation and consumption of the hybrid microgrid system (Case I) over a week in July. The total electrical load served fluctuates from day to day, with peaks exceeding 200 kW, especially on July 3&#x2013;5. Solar PV generation exhibits clear diurnal patterns, with high output during the day, whereas wind turbine output comes intermittently and complements solar generation during low-solar times. The biogas generator provides firm backup in the early morning and evening when renewables are low. Purchases from the grid are minimal and of short duration only, indicating high self-sufficiency. Battery state of charge fluctuates with renewable availability and load demand, indicating optimal utilization of energy storage during periods of low generation. This dynamic interaction among components highlights the system&#x2019;s potential for supply-demand balance under complementary resource coordination, justifying the operational effectiveness and energy resilience of the optimized hybrid microgrid.</p>
<fig id="F28" position="float">
<label>FIGURE 28</label>
<caption>
<p>Temporal variation of generation, storage, and load in Case I microgrid.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g028.tif">
<alt-text content-type="machine-generated">Line graph showing the power output and consumption from July 1 to July 7. It includes seven categories: total electrical load served, grid purchases, generic biogas genset power, wind turbine power, solar PV power, and battery state of charge. Each category is represented by a different colored line. The y-axis ranges from zero to two hundred fifty kilowatts. Peaks and fluctuations vary across the categories, illustrating changes in energy production and usage over time.</alt-text>
</graphic>
</fig>
<p>Hence, Case I presents the optimal configuration for a microgrid, which can show an almost balanced solution on sustainability, cost, and reliability. It shows a very low NPC and COE, with a high RF, while having minimal greenhouse gas emissions and efficient grid interactions. Solar PV, WT, BioGen and BESS integrate to ensure a steady energy supply while well-managing grid transactions and keeping the unmet load low. The economic analysis confirms that the system is highly financially viable, featuring a discounted payback period of just 3.25 years and a simple payback period of 2.90 years. Additionally, the system achieves a strong internal rate of return of 34.4%, indicating a robust return on investment. Overall, Case I stands out as a financially attractive and environmentally sustainable microgrid solution suitable for practical implementation.</p>
</sec>
<sec id="s3-3">
<label>3.3</label>
<title>Sensitivity analysis results</title>
<p>Sensitivity analysis is a key method in energy system modeling for analyzing the variation of system performance and decision outcomes with changes in input parameters. It enables researchers and practitioners to identify the most influential drivers of result uncertainty, enhancing the robustness and credibility of model projections. By varying significant inputs systematically over defined ranges, sensitivity analysis portrays dependencies, interactions, and risks under variable or uncertain conditions. Sensitivity analysis assists in better-informed design, planning, and policymaking by indicating the relative importance of environmental, economic, and technical variables in complex energy systems.</p>
<p>
<xref ref-type="table" rid="T4">Table 4</xref> The table determines significant input-sensitive parameters under three major determinants regulating the performance and viability of hybrid energy systems. The Environmental and Resource Factors include solar radiation (2.93&#x2013;6.83 kWh/m<sup>2</sup>/day), temperature (15.80 &#xb0;C&#x2013;36.86 &#xb0;C), wind speed (2.60&#x2013;6.06 m/s), and available biomass (5.4&#x2013;12.6 tonnes/day), all of which have key roles in renewable energy production. Economic Parameters such as inflation rate (5.4%&#x2013;12.6%), nominal discount rate (9%&#x2013;21%), cost of power ($0.048&#x2013;$0.112/kWh), and sellback price ($0.024&#x2013;$0.056/kWh) affect financial viability. Infrastructure and Reliability parameters are hub height (9.6&#x2013;22.4 m), grid failure frequency (300&#x2013;700 events/year), mean repair time (0.6&#x2013;1.4 h), and repair time variability (30&#x2013;70 min) influencing system operational stability. The ranges provided are amenable to system sensitivity analyses for optimization of the system.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>List of input sensitive variables with values.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Factor</th>
<th align="center">Input sensitive variable</th>
<th align="center">Values</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="4" align="center">Environmental and Resource Factors</td>
<td align="center">Solar radiation (kWh/m<sup>2</sup>/day)</td>
<td align="center">2.93, 3.90, 4.88, 5.85, 6.83</td>
</tr>
<tr>
<td align="center">Temperature (&#xb0;C)</td>
<td align="center">15.80, 21.06, 26.33, 31.60, 36.86</td>
</tr>
<tr>
<td align="center">Wind speed (m/s)</td>
<td align="center">2.60, 3.46, 4.33, 5.19, 6.06</td>
</tr>
<tr>
<td align="center">Available Biomass (tonnes/day)</td>
<td align="center">5.4, 7.2, 9, 10.8, 12.6</td>
</tr>
<tr>
<td rowspan="4" align="center">Economic Parameter</td>
<td align="center">Inflation Rate</td>
<td align="center">5.4, 7.2, 9, 10.8, 12.6</td>
</tr>
<tr>
<td align="center">Nominal Discount Rate</td>
<td align="center">9, 12, 15, 18, 21</td>
</tr>
<tr>
<td align="center">Power Price</td>
<td align="center">0.048, 0.064, 0.08, 0.096, 0.112</td>
</tr>
<tr>
<td align="center">Sellback Rate</td>
<td align="center">0.024, 0.032, 0.04, 0.048, 0.056</td>
</tr>
<tr>
<td rowspan="4" align="center">Infrastructure and Reliability</td>
<td align="center">Hub height (m)</td>
<td align="center">9.6, 12.8, 16, 19.2, 22.4</td>
</tr>
<tr>
<td align="center">Grid Failure Frequency</td>
<td align="center">300, 400, 500, 600, 700</td>
</tr>
<tr>
<td align="center">Grid Mean Repair Time</td>
<td align="center">0.6, 0.8, 1, 1.2, 1.4</td>
</tr>
<tr>
<td align="center">Grid Variation Repair Time</td>
<td align="center">30, 40, 50, 60, 70</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s3-3-1">
<label>3.3.1</label>
<title>Environmental and Resource Factors sensitivity</title>
<p>
<xref ref-type="fig" rid="F29">Figure 29</xref> illustrates the impact of variation of environmental and resource parameters on system performance parameters: COE, NPC, operating cost, and renewable fraction. COE reduces significantly with solar irradiation and wind speed increases from 60% to 140% of their base values to 0.0359&#x2013;0.0153 $/kWh and 0.0359&#x2013;0.0134 $/kWh, respectively, while temperature and biomass availability have a minimal impact. For NPC, solar and wind upgrades reduce the cost to 150,376 $ and 132,290 $ from 256,617 $ and 282,318 $, respectively. Operating costs also display the same trend, reducing from more than 12,000 $/yr for low wind to merely 822 $/yr for high wind, and that for biomass is not identifiable. Renewable portion gets better for augmented solar and wind feed, to 87.38% and 86.74%, respectively, with temperature and biomass being fixed. These results emphasize that solar irradiance and wind speed are the most important variables in terms of system performance and economic viability and thus continue to be of core importance to design and optimization.</p>
<fig id="F29" position="float">
<label>FIGURE 29</label>
<caption>
<p>Impact of <bold>(a)</bold> COE, <bold>(b)</bold> NPC, <bold>(c)</bold> Operating Cost, and <bold>(d)</bold> Renewable Fraction on Environmental and Resource parameter variations.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g029.tif">
<alt-text content-type="machine-generated">Four line graphs labeled (a) to (d) show variations in key energy metrics against percentage variation. Graph (a) depicts cost of energy with different variation impacts. Graph (b) illustrates net present cost trends. Graph (c) focuses on operating costs. Graph (d) shows changes in renewable fraction. Variables include solar irradiation, wind speed, temperature, and available biomass. Each graph includes a legend with different markers for each variable.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="table" rid="T5">Table 5</xref> shows an integrated ranking of sensitivity of four prominent input parameters&#x2014;wind speed, solar irradiation, temperature, and accessible biomass&#x2014;based on their influence on indicators of system performance: COE, NPC, operation cost, and renewable fraction. Wind speed ranks highest due to its strong impact across all metrics, significantly lowering costs and increasing renewable contribution. Solar irradiation also shows high sensitivity, primarily enhancing PV output and reducing economic metrics. Temperature exhibits low sensitivity, with minimal variation in results. Available biomass shows no impact, indicating it is non-limiting in the current configuration. This analysis supports prioritizing wind and solar inputs in system optimization.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Ranked impact of environmental and resource variations on hybrid system metrics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Rank</th>
<th align="center">Parameter</th>
<th align="center">Sensitivity level</th>
<th align="center">Metrics affected</th>
<th align="center">Reason</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">Wind Speed</td>
<td align="center">High</td>
<td align="center">COE, NPC, Operating Cost, RF</td>
<td align="center">Strongly reduces COE, NPC, and costs; significantly increases renewable share due to high wind energy contribution</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">Solar Irradiation</td>
<td align="center">Moderate</td>
<td align="center">COE, NPC, Operating Cost, RF</td>
<td align="center">Substantial impact on cost and renewable share; higher irradiation improves PV output, reducing system costs</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">Temperature</td>
<td align="center">Low</td>
<td align="center">Minimal effect on all metrics</td>
<td align="center">Slight changes observed in performance; minor effect on system behavior and costs</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">Available Biomass</td>
<td align="center">None</td>
<td align="center">No significant effect on any metric</td>
<td align="center">All outputs remain constant across variations; biomass input is non-limiting in system configuration</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3-2">
<label>3.3.2</label>
<title>Economic parameter sensitivity</title>
<p>
<xref ref-type="fig" rid="F30">Figure 30</xref> indicates the sensitivity of COE, NPC, Operating Cost, and Renewable Fraction to &#xb1;40% variations in key economic parameters: nominal discount rate, inflation rate, power price, and sellback rate. In (a), COE rises substantially with higher nominal discount rate (&#x2b;98.5%) but with higher inflation rate (&#x2212;35.4%) and sellback rate (&#x2212;28.8%). In (b), NPC is the most sensitive to discount rate, decreasing by 33.9% as it increases, and also increasing by 29% with inflation rate. In (c), operating cost decreases by 43.6% with a higher sellback rate, but increases almost not at all with inflation and power price. In (d), renewable share increases sharply with power price (&#x2b;10.1%) and increases not much with inflation. But it falls at rising sellback rate (&#x2212;5.6%) and increases slightly with discount rate. Nominal discount rate and sellback rate generally have a significant effect on system cost, whereas renewable share is affected by power price, while indicating principal levers to maximize hybrid energy system economics.</p>
<fig id="F30" position="float">
<label>FIGURE 30</label>
<caption>
<p>Impact of <bold>(a)</bold> COE, <bold>(b)</bold> NPC, <bold>(c)</bold> Operating Cost and <bold>(d)</bold> Renewable Fraction on economic parameter variations.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g030.tif">
<alt-text content-type="machine-generated">Four line graphs labeled (a) to (d) display variations in financial metrics. Each graph compares nominal discount rate, inflation rate, power price, and sellback rate across different variations. (a) shows COE trends, (b) depicts NPC changes, (c) illustrates operating cost variations, and (d) represents renewable fraction percentages, each fluctuating uniquely per parameter.</alt-text>
</graphic>
</fig>
<p>The four economic parameters are ordered based on the impact they have on system performance shown in.</p>
<p>The sensitivity ranking in <xref ref-type="table" rid="T6">Table 6</xref> indicates the effect of key economic parameters on system performance. Nominal discount rate is ranked the highest with COE increasing by 98.5%, NPC decreasing by 33.9%, and renewable fraction having a change of 2.8%, indicating high impact on investment cost indicators. Sellback rate is also sensitive to a large extent, reducing operating cost by 43.6%, COE by 28.8%, and NPC by 16.7%, and affecting renewable fraction by 5.6%. Inflation rate indicates medium sensitivity, reducing COE by 35.4% and increasing NPC by 29%. Price of power has moderate impact, changing renewable share by 10.1% and having mild effect on cost parameters.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Sensitivity ranking of economic parameters based on output variation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Rank</th>
<th align="center">Parameter</th>
<th align="center">Sensitivity level</th>
<th align="center">Metrics affected</th>
<th align="center">Reason</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">Nominal Discount Rate</td>
<td align="center">Very High</td>
<td align="center">COE, NPC, RF</td>
<td align="center">COE changed by 98.5%, NPC by 33.9%, RF by 2.8%; strong influence on long-term financial performance</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">Sellback Rate</td>
<td align="center">High</td>
<td align="center">COE, NPC, Operating Cost, RF</td>
<td align="center">Operating Cost changed by 43.6%, COE by 28.8%, NPC by 16.7%, RF by 5.6%; greatly affects export revenue and system balance</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">Inflation Rate</td>
<td align="center">Moderate</td>
<td align="center">COE, NPC</td>
<td align="center">COE changed by 35.4%, NPC by 29%; impacts cost estimation and long-term investment returns</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">Power Price</td>
<td align="center">Low</td>
<td align="center">RF</td>
<td align="center">RF changed by 10.1%; incentivizes cleaner energy due to increased grid cost</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3-3">
<label>3.3.3</label>
<title>Infrastructure and reliability sensitivity</title>
<p>
<xref ref-type="fig" rid="F31">Figure 31</xref> demonstrates the influence of changes in infrastructure and reliability parameter&#x2014;hub height, grid failure frequency, grid mean repair time, and grid variation repair time&#x2014;on COE, NPC, Operating Cost, and Renewable Fraction. In (a), COE falls by 13.9% for increased hub height and by 53.1% for increased grid failure frequency, showing high sensitivity towards outage rates. In (b), NPC shows a steady decline (&#x2212;11.6%) for increased hub height, while it rises sharply (&#x2b;46.5%) for increased grid failure frequency, showing cost sensitivity towards reliability. In (c), the operating cost drops significantly (&#x2212;27.4%) with a higher hub height but increases by 637% with rising failure frequency, indicating severe operating interruptions. In (d), the renewable fraction slightly improves with hub height (&#x2b;1.5%) but increases by 8.7% with grid failure frequency, possibly because there is greater reliance on local generation. In total, grid failure frequency is the most dominant parameter, with hub height following closely, highlighting the significance of grid operation reliability and wind system design.</p>
<fig id="F31" position="float">
<label>FIGURE 31</label>
<caption>
<p>Impact of <bold>(a)</bold> COE, <bold>(b)</bold> NPC, <bold>(c)</bold> Operating Cost and <bold>(d)</bold> Renewable Fraction on Infrastructure and Reliability parameter variations.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g031.tif">
<alt-text content-type="machine-generated">Four line graphs analyze variations in energy parameters: (a) Cost of Energy (COE) vs. Variation (%), (b) Net Present Cost (NPC) vs. Variation (%), (c) Operating Cost vs. Variation (%), (d) Renewable Fraction vs. Variation (%). Lines represent hub height, grid failure frequency, grid mean repair time, and grid variation repair time. Trends differ across the graphs.</alt-text>
</graphic>
</fig>
<p>The ranking <xref ref-type="table" rid="T7">Table 7</xref> for sensitivity considers how infrastructure and reliability parameters affect the performance of hybrid systems. Grid failure frequency tops the list, having a significant impact on all the parameters: COE ranged from 53.1%, NPC by 46.5%, operating cost by 637%, and renewable fraction by 8.7%. Hub height is also found to be sensitive, recording reductions in COE by 13.9%, NPC by 11.6%, and operating cost by 27.4% while renewable fraction is increased by 1.5%. Grid mean repair time has medium influence, changing COE by 4.4%, NPC by 8.7%, and operating cost by 18.1%. Grid variation repair time shows low influence, changing only renewable fraction by 6.7%.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Sensitivity ranking of infrastructure and reliability parameters based on output variation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Rank</th>
<th align="center">Parameter</th>
<th align="center">Sensitivity level</th>
<th align="center">Metrics affected</th>
<th align="center">Reason</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">Grid Failure Frequency</td>
<td align="center">High</td>
<td align="center">COE, NPC, Operating Cost, RF</td>
<td align="center">COE changed by 53.1%, NPC by 46.5%, Operating Cost by 637%, RF by 8.7%; system is highly sensitive to grid reliability failures</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">Hub Height</td>
<td align="center">Moderate</td>
<td align="center">COE, NPC, Operating Cost, RF</td>
<td align="center">COE changed by 13.9%, NPC by 11.6%, Operating Cost by 27.4%, RF by 1.5%; higher height improves performance and reduces cost</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">Grid Mean Repair Time</td>
<td align="center">Low&#x2013; Moderate</td>
<td align="center">COE, NPC, Operating Cost, RF</td>
<td align="center">COE changed by 4.4%, NPC by 8.7%, Operating Cost by 18.1%, RF by 2.6%; delayed repairs moderately impact system cost</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">Grid Variation Repair Time</td>
<td align="center">Low</td>
<td align="center">RF</td>
<td align="center">RF changed by 6.7%; slight impact from repair variability, other metrics remain nearly unchanged</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3-4">
<label>3.3.4</label>
<title>Economic multiplier evaluation</title>
<p>
<xref ref-type="table" rid="T8">Table 8</xref> shows the responsiveness of system costs to a &#xb1;20% variation in each component&#x2019;s capital cost, replacement, and O&#x26;M cost. Solar PV is the most responsive, as NPC and COE both change by &#xb1;11.43%. Converter is the second largest, with NPC changing by &#x2212;5.18% to &#x2b;4.78% and COE by &#x2212;5.53% to &#x2b;6.13%. Wind turbine cost causes NPC and COE to change by &#xb1;2.17% and &#xb1;2.16%, respectively. BioGen shows unequal effects: NPC ranges from &#x2212;0.78% to &#x2b;2.95%, while COE ranges from &#x2212;3.61% to &#x2b;0.08%. BESS affects very minimally with variation of &#xb1;0.31% only.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Impact of 20% variations in component costs on NPC and COE.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Components</th>
<th align="center">Variations of capital, replacement and O&#x26;M cost</th>
<th align="center">Variation of NPC (%)</th>
<th align="center">Variation of COE (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Solar PV</td>
<td align="center">20% (decrease)</td>
<td align="center">&#x2212;11.43%</td>
<td align="center">&#x2212;11.43%</td>
</tr>
<tr>
<td align="center">20% (increase)</td>
<td align="center">11.43%</td>
<td align="center">11.43%</td>
</tr>
<tr>
<td rowspan="2" align="center">Wind Turbine</td>
<td align="center">20% (decrease)</td>
<td align="center">&#x2212;2.17%</td>
<td align="center">&#x2212;2.16%</td>
</tr>
<tr>
<td align="center">20% (increase)</td>
<td align="center">2.17%</td>
<td align="center">2.16%</td>
</tr>
<tr>
<td rowspan="2" align="center">BESS</td>
<td align="center">20% (decrease)</td>
<td align="center">&#x2212;0.31%</td>
<td align="center">&#x2212;0.31%</td>
</tr>
<tr>
<td align="center">20% (increase)</td>
<td align="center">0.31%</td>
<td align="center">0.31%</td>
</tr>
<tr>
<td rowspan="2" align="center">BioGen</td>
<td align="center">20% (decrease)</td>
<td align="center">&#x2212;0.78%</td>
<td align="center">&#x2212;3.61%</td>
</tr>
<tr>
<td align="center">20% (increase)</td>
<td align="center">2.95%</td>
<td align="center">0.08%</td>
</tr>
<tr>
<td rowspan="2" align="center">Converter</td>
<td align="center">20% (decrease)</td>
<td align="center">&#x2212;5.18%</td>
<td align="center">&#x2212;5.53%</td>
</tr>
<tr>
<td align="center">20% (increase)</td>
<td align="center">4.78%</td>
<td align="center">6.13%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The sensitivity analysis <xref ref-type="table" rid="T9">Table 9</xref> examines the effect of &#xb1;20% variation in capital, replacement, and O&#x26;M costs of major components on NPC and COE. Solar PV is most sensitive with both NPC and COE varying by &#xb1;11.43%, which indicates its overarching effect on system economics. Converter is the second, NPC varying between &#x2212;5.18% and &#x2b;4.78% and COE between &#x2212;5.53% and &#x2b;6.13%. Wind turbine costs induce &#xb1;2.17% (NPC) and &#xb1;2.16% (COE) variations. BioGen induces asymmetric effects with NPC varying &#x2212;0.78% to &#x2b;2.95% and COE between &#x2212;3.61% and &#x2b;0.08%. BESS is the least sensitive at &#xb1;0.31% for NPC and COE.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Sensitivity ranking of microgrid components based on the impact of cost variations on NPC and COE.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Rank</th>
<th align="center">Component</th>
<th align="center">Sensitivity level</th>
<th align="center">Reason</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">Solar PV</td>
<td align="center">Very High</td>
<td align="center">A &#xb1;20% cost change results in &#xb1;11.43% variation in both NPC and COE, indicating strong linear sensitivity. As the dominant power generation source, its cost structure heavily influences total system economics</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">Converter</td>
<td align="center">High</td>
<td align="center">Exhibits &#x2212;5.18% to &#x2b;4.78% change in NPC and &#x2212;5.53% to &#x2b;6.13% in COE with 20% cost variation. Its central role in managing AC/DC flows makes its efficiency and cost highly influential on system performance and expenses</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">WT</td>
<td align="center">Moderate</td>
<td align="center">Cost variations lead to &#xb1;2.17% NPC and &#xb1;2.16% COE changes. While not the main energy source, it still contributes significantly to generation, hence moderate sensitivity</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">BioGen</td>
<td align="center">Low-Moderate</td>
<td align="center">Shows irregular effects: NPC changes &#x2212;0.78% to &#x2b;2.95%, COE from &#x2212;3.61% to &#x2b;0.08%. Its non-linear response implies operational or fuel-related cost dynamics. Although not dominant in capacity, it can create cost spikes</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">BESS</td>
<td align="center">Low</td>
<td align="center">Only &#xb1;0.31% variation in NPC and COE from a 20% cost change. The low economic sensitivity suggests that its sizing or usage frequency is relatively small, having limited impact on total system cost</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3-4">
<label>3.4</label>
<title>Evaluating interdependencies among solar, wind, BioGen, storage, and grid parameter</title>
<p>The correlation heatmap <xref ref-type="fig" rid="F32">Figure 32</xref> illustrates interdependencies among 13 key energy variables. A strong positive correlation (0.98) exists between Solar PV Incident Solar and Solar PV Power Output, indicating effective solar energy conversion. Similarly, Wind Speed and Wind Turbine Power Output show a high correlation (0.96), reflecting efficient wind energy utilization. Total Renewable Power Output is highly correlated with Renewable Penetration (0.98) and Grid Sales (0.85), suggesting that surplus renewable generation contributes significantly to grid exports. Battery State of Charge correlates negatively with Inverter Power Output (&#x2212;0.74) and positively with Rectifier Power Output (0.78), demonstrating expected charging and discharging behavior. Total Electrical Load Served aligns strongly with Inverter Power Output (0.89), highlighting the inverter&#x2019;s role in meeting demand. These relationships confirm coherent system dynamics, supporting the reliability of the data and the performance of renewable-integrated microgrid operations.</p>
<fig id="F32" position="float">
<label>FIGURE 32</label>
<caption>
<p>Heatmap of operational and environmental variable correlations in a renewable energy system.</p>
</caption>
<graphic xlink:href="fenrg-13-1652536-g032.tif">
<alt-text content-type="machine-generated">Heatmap displaying correlations between various renewable energy parameters and grid interactions. Intensity varies from deep blue (negative correlation) to deep red (positive correlation). Labels include solar PV incident, wind speed, inverter output, and battery state of charge.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s3-5">
<label>3.5</label>
<title>Comparison with others published work</title>
<p>
<xref ref-type="table" rid="T10">Table 10</xref> encapsulates the comparative global analysis of various renewable energy systems, structural configurations, geographic distributions, and categorical applications. It highlights the varying levels of renewable integration and economic metrics, reflecting context-specific adaptations to energy needs across rural, urban, and institutional settings. Comparing off-grid and on-grid systems, it places in relief the interplay of challenges and solutions specific to location in influencing the adoption of renewable energy. The variation in RF, NPC, and COE across diverse contexts represents a dynamic balance between technological feasibility, economic viability, and environmental sustainability. In the final analysis, the table shows a multi-dimensional view of renewable energy potential, tailored to the geographically and functionally distinct scenarios.</p>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>Comparison of the proposed work with others published work.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">System structure</th>
<th align="center">Location</th>
<th align="center">System type and category</th>
<th align="center">RF (%)</th>
<th align="center">NPC($)</th>
<th align="center">COE ($/kWh)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">PV-BioGen-BESS (<xref ref-type="bibr" rid="B97">Sharma et al., 2021</xref>)</td>
<td align="center">Punjab, India</td>
<td align="center">Off-grid<break/>Village</td>
<td align="center">100</td>
<td align="center">$76837</td>
<td align="center">0.032</td>
</tr>
<tr>
<td align="center">PV-BioGen-DG-WT-BESS (<xref ref-type="bibr" rid="B93">Sawle et al., 2018</xref>)</td>
<td align="center">Barwani, India</td>
<td align="center">Off-grid<break/>City</td>
<td align="center">100</td>
<td align="center">170,657.59</td>
<td align="center">0.2899</td>
</tr>
<tr>
<td align="center">PV-BioGen-DG-Grid-BESS (<xref ref-type="bibr" rid="B84">Rajbongshi et al., 2017</xref>)</td>
<td align="center">Jhawani, Tezpur</td>
<td align="center">On-grid<break/>Village</td>
<td align="center">91</td>
<td align="center">---</td>
<td align="center">0.145</td>
</tr>
<tr>
<td align="center">PV-BioGen-Grid-BESS (<xref ref-type="bibr" rid="B111">Zahid et al., 2023</xref>)</td>
<td align="center">Hattar, Pakistan</td>
<td align="center">On-grid<break/>Industrial</td>
<td align="center">25.2</td>
<td align="center">135B PKR</td>
<td align="center">14.1 PKR</td>
</tr>
<tr>
<td align="center">PV-WT-BioGen-Grid BESS (<xref ref-type="bibr" rid="B48">Haleema et al., 2023</xref>)</td>
<td align="center">Shamshabad, India</td>
<td align="center">On-grid<break/>Residential</td>
<td align="center">82</td>
<td align="center">---</td>
<td align="center">0.059</td>
</tr>
<tr>
<td align="center">PV-BioGen-Grid (<xref ref-type="bibr" rid="B9">Ali et al., 2024</xref>)</td>
<td align="center">Pabna, bangladesh</td>
<td align="center">On-grid<break/>Residential</td>
<td align="center">80.1</td>
<td align="center">321,798</td>
<td align="center">0.0232</td>
</tr>
<tr>
<td align="center">PV-WT-BioGen-Grid (<xref ref-type="bibr" rid="B11">Ali et al., 2025b</xref>)</td>
<td align="center">Rajshahi, Bangladesh</td>
<td align="center">On-grid<break/>Residential</td>
<td align="center">59.4</td>
<td align="center">46,813</td>
<td align="center">0.0306</td>
</tr>
<tr>
<td align="center">The Proposed Work</td>
<td align="center">Kushtia, Bangladesh</td>
<td align="center">On-grid<break/>Residential and Commercial</td>
<td align="center">86.3</td>
<td align="center">189,744</td>
<td align="center">0.0212</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>It is acknowledged that the benchmarked studies in <xref ref-type="table" rid="T10">Table 10</xref> were conducted under different load assumptions and varying local resource conditions such as solar radiation, wind regime, and biomass feedstock. Therefore, this comparison is not intended as a strict one-to-one equivalence, but rather to highlight relative techno-economic feasibility and design trends. Indicators such as NPC, COE, and renewable fraction provide a common basis for relative comparison, although differences in local context must be considered when interpreting the results. These studies were selected due to their geographical proximity within South Asia, similar rural electrification contexts, and comparable hybrid system architectures, which provide a meaningful benchmark for regional performance. Our results further show that by applying a multi-scenario optimization framework with HOMER Pro, incorporating tariff sensitivity and grid unreliability, the proposed system achieves a higher renewable fraction and lower cost of energy, suggesting that this methodology could yield improved outcomes if applied to comparable systems.</p>
<p>This study introduces a novel approach to rural electrification in Bangladesh through the integrative design and optimization of a hybrid energy system combining photovoltaic, wind, and biogas technologies with battery storage and grid connectivity. Unlike previous works that often consider isolated renewable sources or lack localized resource assessment, this research incorporates real, site-specific solar radiation, wind speed, and biomass availability data for Bahirmadi village. The system is comprehensively analyzed using HOMER Pro through 2,743 simulations, ensuring an exhaustive search for optimal configurations based on cost, reliability, and environmental impact. The proposed PV/Wind/BioGen-BESS-Grid system demonstrates superior performance with a high renewable fraction of 86.3%, significantly reduced CO<sub>2</sub> emissions (78.9% lower than the baseline), and a very low levelized cost of electricity at $0.0212/kWh. These outcomes validate the feasibility and scalability of the system as a clean, resilient, and economically viable solution for off-grid or grid-challenged rural regions.</p>
<p>The contribution of this work lies in developing a replicable, data-driven hybrid microgrid optimization framework that supports policy formulation, investment planning, and sustainable development strategies. Although HOMER Pro was used in this study for implementation, the methodological structure&#x2014;defined by the objective of minimizing NPC and LCOE, the use of decision variables (PV, wind, biogas, storage), and constraints such as demand&#x2013;supply balance and reliability&#x2014;can be applied using other optimization platforms or modeling tools. Moreover, the framework is not limited to the specific case of Kushtia; it can be adapted to other rural communities by substituting local resource data, demand profiles, and policy contexts. In this way, the study provides a generalizable approach to bridging the gap between technical feasibility and practical deployment of hybrid renewable energy systems in emerging economies.</p>
<p>Finally, the operational efficiency of the optimized hybrid system was assessed to align with the study objectives. The PV and wind subsystems achieved capacity factors of 17.7% and 9.1% respectively, reflecting the site&#x2019;s solar and wind availability. The battery system operated with an assumed round-trip efficiency of 90%, completing approximately 590 equivalent full cycles annually. Moreover, the overall renewable fraction of the system reached 86.3%, highlighting efficient utilization of renewable resources while maintaining supply reliability. These indicators confirm that the proposed configuration not only minimizes cost and emissions but also operates with a high level of technical efficiency.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<label>4</label>
<title>Conclusion</title>
<p>This study assessed different hybrid renewable energy configurations to supply electricity for a rural community in Kushtia, Bangladesh. Simulation results showed that the optimum system (250 kW PV, 250 kW wind, 100 kW biogas generator, 200 kWh BESS, and grid connection) achieved the lowest cost of energy at 0.0212 $/kWh, with a net present cost of 189,744 $. The renewable share reached 86.3%, which led to a 78.9% reduction in CO<sub>2</sub> emissions compared to the grid-dependent base case. The system also ensured improved reliability with minimal unmet load. These findings demonstrate that a carefully designed PV&#x2013;wind&#x2013;biogas hybrid system is both technically feasible and economically attractive for rural electrification in Bangladesh. Beyond this case study, the approach can be extended to other off-grid or weak-grid regions with similar resource availability. Future work will incorporate ground-validated meteorological data and actual measured rural consumption profiles to further improve the accuracy of system design. Next-generation research can focus on more advanced control strategies, such as AI-based load forecasting and real-time energy dispatching. Further, application of metaheuristic algorithms to carry out multi-objective optimization can lead to improved performance in dynamic conditions. Addition of social acceptance studies, effects of grid policy on the model, and model replication in other remote villages will further prove its applicability and allow its use in even more developing nations.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<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 sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>MRA: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Software, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. MFA: 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. DB: 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. AA: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Project administration, Supervision, Validation, Writing &#x2013; review and editing. MH: Conceptualization, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Supervision, Validation, Writing &#x2013; review and editing.</p>
</sec>
<ack>
<title>Acknowledgements</title>
<p>The authors gratefully acknowledge Pabna University of Science and Technology, Pabna-6600, Bangladesh, for providing access to the Renewable Energy Laboratory and other facilities that supported the successful completion of this research.</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
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<sec sec-type="ai-statement" id="s9">
<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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<title>Publisher&#x2019;s note</title>
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<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/969776/overview">Solomon Giwa</ext-link>, Olabisi Onabanjo University, Nigeria</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
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<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3132392/overview">Teerasak Somsak</ext-link>, Ragamagala University of Technology Lann, Thailand</p>
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<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3142963/overview">Olabode Olakunle</ext-link>, Achievers University, Nigeria</p>
</fn>
</fn-group>
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