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<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-id pub-id-type="publisher-id">1483755</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2024.1483755</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Design, techno-economic evaluation, and experimental testing of grid connected rooftop solar photovoltaic systems for commercial buildings </article-title>
<alt-title alt-title-type="left-running-head">Habib 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.2024.1483755">10.3389/fenrg.2024.1483755</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Habib</surname>
<given-names>Salman</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2863372/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tamoor</surname>
<given-names>Muhammad</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1956884/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Gulzar</surname>
<given-names>Muhammad Majid</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2261123/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chauhdary</surname>
<given-names>Sohaib Tahir</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ahmad</surname>
<given-names>Hasnain</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Alqahtani</surname>
<given-names>Mohammed</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2214057/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Khalid</surname>
<given-names>Muhammad</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1862886/overview"/>
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</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Control and Instrumentation Engineering Department</institution>, <institution>King Fahd University of Petroleum &#x26; Minerals</institution>, <addr-line>Dhahran</addr-line>, <country>Saudi Arabia</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Interdisciplinary Research Center for Smart Mobility and Logistics</institution>, <institution>King Fahd University of Petroleum &#x26; Minerals</institution>, <addr-line>Dhahran</addr-line>, <country>Saudi Arabia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Electrical Engineering and Technology</institution>, <institution>Government College University Faisalabad</institution>, <addr-line>Faisalabad</addr-line>, <country>Pakistan</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Interdisciplinary Research Center for Sustainable Energy Systems (IRC-SES)</institution>, <institution>King Fahd University of Petroleum &#x26; Minerals</institution>, <addr-line>Dhahran</addr-line>, <country>Saudi Arabia</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Electrical and Computer Engineering</institution>, <institution>College of Engineering</institution>, <institution>Dhofar University</institution>, <addr-line>Salalah</addr-line>, <country>Oman</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Department of Electrical Engineering</institution>, <institution>Pakistan Institute of Engineering and Applied Sciences (PIEAS)</institution>, <addr-line>Islamabad</addr-line>, <country>Pakistan</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Department of Industrial Engineering and Center for Engineering and Technology Innovations</institution>, <institution>King Khalid University</institution>, <addr-line>Abha</addr-line>, <country>Saudi Arabia</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>Electrical Engineering Department</institution>, <institution>King Fahd University of Petroleum &#x26; Minerals (KFUPM)</institution>, <addr-line>Dhahran</addr-line>, <country>Saudi Arabia</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1364635/overview">Xingshuo Li</ext-link>, Nanjing Normal University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1133913/overview">Priya Ranjan Satpathy</ext-link>, Universiti Tenaga Nasional, Malaysia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1764212/overview">Misri Gozan</ext-link>, University of Indonesia, Indonesia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Salman Habib, <email>salman.habib@kfupm.edu.sa</email>; Muhammad Khalid, <email>mkhalid@kfupm.edu.sa</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>21</day>
<month>11</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1483755</elocation-id>
<history>
<date date-type="received">
<day>20</day>
<month>08</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>30</day>
<month>10</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Habib, Tamoor, Gulzar, Chauhdary, Ahmad, Alqahtani and Khalid.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Habib, Tamoor, Gulzar, Chauhdary, Ahmad, Alqahtani and Khalid</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>This study aims to investigate the potential of rooftop solar photovoltaic systems for commercial buildings. Helio-Scope software is utilized to perform simulations to determine the ideal rooftop area for photovoltaic panels. The efficiency of photovoltaic systems is impacted by the shading effects of photovoltaic modules installed in parallel rows. To enhance energy output, the optimal distance between rows is determined, and it is found that 5-feet inter-row spacing provides the best results. The simulation results indicate that with 5-feet inter-row spacing, photovoltaic system has an energy generation of 371.6 MWh, specific yield of 1508.0 kWh/kWp, performance ratio of 82.1%, solar access rate of 98.9%, total solar resource fraction of 96.3% and a total irradiance of 1655.9 kWh/m<sup>2</sup>. The annual nameplate energy is 425.1 MWh, output energy at irradiance levels is 423.1 MWh, optimal DC output is 378.5 MWh, inverter output is 373.5 MWh, and total energy delivered to the national power grid is 371.6 MWh. The average daily DC inverter input power is 158881.5110 W and the average daily AC inverter output power is 152231.6311 W, showing an inverter efficiency of approximately 95.93%. Moreover, detailed testing of the installed PV system is performed on-site to make sure that equipment&#x2019;s performance guarantees are achieved, the system is properly installed and its configuration is suitable for commercial operations. The maximum daily output energy generation of an installed photovoltaic (PV) system is 1.33 MWh, and its average energy generation is 1.09 MWh. The voltage of all strings is within the rated range of the inverter, with a maximum voltage of 835 V and a minimum of 698 V, as tested by PV string open-circuit voltage. The inverter efficiency test is also performed, with a maximum efficiency of 98.83% and fill factors ranging from 81.37% to 82.34%. The payback period of a photovoltaic system is 4.22 years and LCOE is 0.0229$/kWh. PV system saved 215569.818 metric tons of CO<sub>2</sub> in the first year and a total of approximately 5068976.99 metric tons in 25 years.</p>
</abstract>
<kwd-group>
<kwd>PV system</kwd>
<kwd>solar resources</kwd>
<kwd>performance analysis</kwd>
<kwd>system losses</kwd>
<kwd>energy generation</kwd>
<kwd>performance ratio</kwd>
<kwd>system testing</kwd>
<kwd>building solar potential</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Smart Grids</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>With the advancement of industrialization and urbanization, the world&#x2019;s energy consumption continues to increase. Every day more people are migrating to cities, where they live in a society confined to buildings. As a result, the daily energy consumed by buildings grows exponentially and increases the emissions of greenhouse gases (GHG) (<xref ref-type="bibr" rid="B49">Musa et al., 2024</xref>). Buildings are among the priorities for climate change mitigation strategies since they account for one-third of the world&#x2019;s final energy consumption and one-fifth of its greenhouse gas (GHG) emissions (<xref ref-type="bibr" rid="B36">Lang et al., 2016</xref>). Approximately 74% of the worldwide energy needs are met by fossil fuels (<xref ref-type="bibr" rid="B31">International Energy Agency, 2020</xref>). As the main source of energy generation, fossil fuels especially natural gas, coal, and diesel pose significant problems to global warming and GHG. There is an increase in the development and integration of sustainable energy sources to fulfill energy demands in order to lessen these issues (<xref ref-type="bibr" rid="B23">Habib et al., 2023a</xref>; <xref ref-type="bibr" rid="B18">Ehsan et al., 2024</xref>; <xref ref-type="bibr" rid="B11">Bashir et al., 2024</xref>; <xref ref-type="bibr" rid="B22">Habib et al., 2023b</xref>).</p>
<p>Photovoltaic (PV) offers a promising technology to achieve this goal because of its significant and prominent environmental benefits as that of a low-carbon energy source and its substantial potential for economic development (<xref ref-type="bibr" rid="B38">Liu et al., 2022</xref>; <xref ref-type="bibr" rid="B69">Tamoor et al., 2022a</xref>; <xref ref-type="bibr" rid="B51">Nguyen et al., 2024</xref>; <xref ref-type="bibr" rid="B12">Bhatti et al., 2024</xref>; <xref ref-type="bibr" rid="B77">Wen et al., 2022</xref>). After a significant reduction in photovoltaic manufacturing costs due to large-scale deployment, photovoltaics has become economically competitive with alternative energy sources around the world (<xref ref-type="bibr" rid="B83">Zander et al., 2019</xref>; <xref ref-type="bibr" rid="B71">Tamoor et al., 2022b</xref>; <xref ref-type="bibr" rid="B63">Sinha and Ghosh, 2024</xref>; <xref ref-type="bibr" rid="B64">Tamoor et al., 2022c</xref>; <xref ref-type="bibr" rid="B72">Tamoor et al., 2020</xref>). The main factors behind the constant growth of this technology are its significant cost reduction and the environmental problems associated with fossil fuels. The global cumulative photovoltaic installed capacity has increased exponentially from nearly 0 GW in 1990 to 505.0 GW in 2018 (<xref ref-type="bibr" rid="B7">Appavou et al., 2019</xref>). Additionally, 102.4 GW of new PV systems were installed globally in 2018 (<xref ref-type="bibr" rid="B50">Muteri et al., 2020</xref>). In contrast to concentrated solar power (CSP) systems, photovoltaic technology can generate energy also in regions with moderate levels of solar irradiance. As a result, this technology has the potential to be utilized (i.e., at the commercial or residential level), and the idea of the solar city has captured the interest of many engineers and researchers (<xref ref-type="bibr" rid="B14">Bouramdane et al., 2021</xref>; <xref ref-type="bibr" rid="B66">Tamoor et al., 2021a</xref>; <xref ref-type="bibr" rid="B30">Huda et al., 2024</xref>; <xref ref-type="bibr" rid="B6">Alshehri et al., 2024</xref>; <xref ref-type="bibr" rid="B43">Miran et al., 2022</xref>; <xref ref-type="bibr" rid="B70">Tamoor et al., 2021b</xref>).</p>
<p>The energy consumption of buildings is increasing rapidly every day in both hot and cold regions (<xref ref-type="bibr" rid="B28">Huang and Zheng, 2018</xref>; <xref ref-type="bibr" rid="B33">Kang et al., 2021</xref>; <xref ref-type="bibr" rid="B25">Habib et al., 2023c</xref>). Office buildings contribute considerably more to this high consumption of energy, consuming 17% of all energy globally (<xref ref-type="bibr" rid="B20">EIA, 2016</xref>; <xref ref-type="bibr" rid="B19">EIA, 2006</xref>). Energy consumption in Asian countries is extremely high during the summer solstice (<xref ref-type="bibr" rid="B55">Ramli et al., 2017</xref>; <xref ref-type="bibr" rid="B39">Liu et al., 2021</xref>). The high load during the summer is a result or consequence of the energy required for cooling in both commercial and residential buildings. In the upcoming years, global warming will increase the load even more (<xref ref-type="bibr" rid="B54">Prieto et al., 2018</xref>; <xref ref-type="bibr" rid="B75">Van Ruijven et al., 2019</xref>). In Asian countries, buildings account for 80.0% of the total energy consumed (<xref ref-type="bibr" rid="B8">Asif, 2016</xref>; <xref ref-type="bibr" rid="B60">Shaahid and Elhadidy, 2008</xref>), but in European countries, this share is only 40.0% (<xref ref-type="bibr" rid="B40">Machete et al., 2018</xref>). In particular for office buildings, photovoltaic installations can be a suitable option to meet the high summer energy demands as the energy generation pattern of photovoltaic systems matches the load pattern of office buildings because primary loads of buildings are high during office time i.e., daytime.</p>
<p>Rooftop PV is an excellent option to integrate renewable energy into the national grid without changing the use of land or adding more distribution or transmission lines (<xref ref-type="bibr" rid="B78">Wiginton et al., 2010</xref>; <xref ref-type="bibr" rid="B52">Palmer-Wilson et al., 2019</xref>). Rooftops of urban buildings offer potential and suitable sites for photovoltaic (PV) installations. However, an effective approach to harvesting rooftop solar potential by identifying suitable and appropriate roofs to optimize photovoltaic (PV) installations still seems to be challenging (<xref ref-type="bibr" rid="B44">Mohajeri et al., 2018</xref>; <xref ref-type="bibr" rid="B47">Mountain and Szuster, 2015</xref>). Research on optimizing photovoltaic (PV) installations has started to progress mainly in developed countries in Europe and America, however, there is a shortage of maps showing the potential of solar energy generation for future solar urban planning (<xref ref-type="bibr" rid="B29">Huang et al., 2019</xref>). The size of the research area is one of the most crucial factors in assessing the potential of rooftop photovoltaic systems (<xref ref-type="bibr" rid="B58">Schallenberg-Rodr&#xed;guez, 2013</xref>). Applying the same methodologies on a local, regional, or continental scale is often not possible because of the time-consuming procedures, the substantial cost of obtaining the information from various sources, and the lack of diversity in some sections of the data.</p>
<p>Studies investigating PV self-consumption have primarily examined case-specific building types, such as single-family homes (<xref ref-type="bibr" rid="B37">Lang et al., 2015</xref>; <xref ref-type="bibr" rid="B15">Chwieduk and Chwieduk, 2021</xref>), large-size office buildings (<xref ref-type="bibr" rid="B53">Prajapati and Fernandez, 2019</xref>), university campuses (<xref ref-type="bibr" rid="B5">Ali and Alomar, 2022</xref>; <xref ref-type="bibr" rid="B73">Tarigan, 2018</xref>), or multiple buildings (<xref ref-type="bibr" rid="B2">Ahsan et al., 2020</xref>). The utility-scale rooftop photovoltaic system installed in Switzerland was analyzed by Assurin et al. (<xref ref-type="bibr" rid="B9">Assouline et al., 2018</xref>) using random forests to determine its generation capability. They proposed a method for calculating roof areas that are available for installing photovoltaic modules and assessed the shading losses brought on by surrounding buildings and trees, without accounting for the losses brought on by mutual shade of the tilted photovoltaic modules. <xref ref-type="bibr" rid="B21">Fina et al. (2020)</xref> developed a method to evaluate the economic viability of roof-top photovoltaic systems depending on neighboring energy communities and expanded roof-top photovoltaic potential to analyze the renewable energy-related policy goals of Austria. <xref ref-type="bibr" rid="B61">Shukla et al. (2016)</xref> designed and installed a stand-alone 110-kW photovoltaic system on the flat roof of an Indian hostel. The authors thoroughly examined the technical as well as financial aspects of the proposed photovoltaic system; however, the shading losses were not taken into account. The technical performance of a 5-kW roof-top photovoltaic system was assessed by <xref ref-type="bibr" rid="B80">Yadav and Bajpai (2018)</xref>. They examined the array efficiency, CUF, average daily energy output, and energy yield of PV systems, but they did not analyze the shading losses. A 200-kW roof-mounted photovoltaic system was studied by <xref ref-type="bibr" rid="B34">Kumar et al. (2019)</xref> by using PVSyst simulation software to calculate approximate output energy generation and energy loss and analyze the performance ratio, efficiency of the system, and CUF.</p>
<p>
<xref ref-type="bibr" rid="B57">Satpathy et al. (2021a)</xref> designed a 19.2 kW grid-connected PV system using PVsyst software, taking into account the site&#x2019;s meteorological data, available components, and numerous loss characteristics for residential buildings. The 3D modeling of the roof is performed in the Sketchup Skelion environment to ensure optimal module placement and prevent unexpected shading during operational hours. The analysis indicates that the estimated system size suggested by both software tools matches closely, with the maximum output of the proposed system estimated at 25 MWh/year. Additionally, the system and maximum array losses are determined to be 0.44 and 0.93 kWh/kWp/day, respectively. Another research examines a comprehensive examination of a 100 kW grid-connected photovoltaic system, including its location, system design, module orientation, selection of components, loss analysis, and energy yield. This research has been utilizing the most efficient PVsyst software for determining acceptable parameters for the optimum planning and designing of a 100 kWp PV system (<xref ref-type="bibr" rid="B56">Satpathy et al., 2021b</xref>). In order to determine the prospective benefits of rooftop PV systems, several researchers (<xref ref-type="bibr" rid="B62">Singh, 2020</xref>; <xref ref-type="bibr" rid="B45">Mohamed et al., 2024</xref>; <xref ref-type="bibr" rid="B67">Tamoor et al., 2023</xref>; <xref ref-type="bibr" rid="B4">Al-Amin et al., 2024</xref>; <xref ref-type="bibr" rid="B46">Monna et al., 2020</xref>; <xref ref-type="bibr" rid="B76">Vargas-Salgado et al., 2024</xref>; <xref ref-type="bibr" rid="B81">Yang et al., 2024</xref>; <xref ref-type="bibr" rid="B74">Thotakura et al., 2020</xref>; <xref ref-type="bibr" rid="B1">Abd Elsadek et al., 2024</xref>) utilized simulation software like PVSyst, HelioScope, Homer Pro, Solmetric SunEye, PVGIS, and PV&#x2a;Sol.</p>
<p>The RETScreen software has been employed to conduct techno-economic, and environmental analyses for a 10.0 MW utility-scale grid-connected PV system across seven cities in Benin. According to the assumptions described in this research, the photovoltaic system generates approximately 13,222 MWh per year of electricity that can be exported to the grid. This results in a PR of approximately 67.3% and a capacity factor of 15.1%. The project produces an LCOE that ranges from 0.110 USD/kWh to 0.125 USD/kWh. In comparison to the utility grid, the utility-scale PV system reduces CO2 emissions by approximately 76.0% (<xref ref-type="bibr" rid="B3">Akpahou et al., 2024</xref>). <xref ref-type="bibr" rid="B13">Boruah and Chandel (2024)</xref> conducted a technical and economic feasibility study on five commercial grid-connected PV systems with battery energy storage under both net-metering and without net-metering regimes. The Solar Labs and PVSyst software have been used for system design and energy generation calculation, proceeded by HOMER grid software and Excel-based financial simulations for optimization of systems and cost-benefit analysis. The analysis indicated a 200 kWp PV system integrated with a 250 kWh energy storage under net metering as the most optimized solution, with an energy generation cost of 4.21 INR/kWh and a payback period of 6.15 years.</p>
<p>Another research intended to assess the technical, economic, and environmental performances of grid-connected and stand-alone hybrid systems across 21 provinces in seven regions of Turkey, taking into account variations in regional solar irradiations and wind speed. Hybrid systems have been designed and simulated utilizing the HOMER PRO to supply the daily energy demand of 13.2 kWh/day for a home. The results indicated that the most suitable configurations are PV/WT/Grid for a grid-connected hybrid system and PV/WT/DG/BESS for a stand-alone hybrid system. The NPC value ranges from $2,540 to $8,951 for grid-connected and from $23,372 to $40,858 for stand-alone systems (<xref ref-type="bibr" rid="B10">Ayan and Turkay, 2023</xref>). This research presents a techno-economic evaluation of grid-connected PV systems in arid regions, focusing on the aspect of peak shaving. The impact of a commissioned 102 kW PV system on peak shaving for the waste-management organization building is evaluated as a practical case. The findings confirm that the installed PV system reduces the peak demand of commercial buildings by an average of 40%&#x2013;50% during summer afternoons. The results indicated that the proposed project is economically feasible, demonstrating an NPV of &#x20ac;43,671 and an IRR of 34.5% (<xref ref-type="bibr" rid="B48">Mousavi and Bakhshi-Jafarabadi, 2024</xref>).</p>
<p>The objective of this research is to examine the potential and assess the optimum methods for installing a grid-connected photovoltaic system on the roof of commercial buildings. This research study comprehensively investigates the constraints/challenges on commercial building rooftops in order to evaluate the utilization of rooftop areas for photovoltaic energy systems. The current research work consequently fills a gap in the scientific literature as it aims to determine the potential of photovoltaic installation on commercial buildings. Commercial buildings vary widely in terms of their sizes and purposes. The shopping plaza is the primary building type covered in this study. The range and intensity of various architectural, structural, and service characteristics that limit the usage of photovoltaics on building rooftops are examined using satellite images. Site visits were also conducted to review and understand the condition of the roof in detail and to verify the results of the assessment procedure based on satellite images. Software such as HelioScope, Aurora Solar, and some standard data are used in the design. For this system, PV modules are mounted on a fixed-mount racking system. The grid-connected photovoltaic system is designed with the HelioScope software. The 3D model is designed and shadow loss is analyzed using Aurora Solar. Building a 3D model with appropriate photovoltaic module configurations, such as azimuth angle, tilt angle and inter-row spacing is challenging when using HelioScope software. In order to optimize solar irradiation, the PV modules are installed at 180&#xb0; azimuth angle and a 15&#xb0; tilt angle. To maximize the output energy production of the PV system, we examined different Inter-row spacing.</p>
<p>Although ground-mounted photovoltaic systems are easier to operate and require less maintenance, it is difficult to install PV systems in metropolitan areas due to the cost and availability of land. In contrast, rooftop photovoltaic systems involve no land costs and block solar irradiance from making direct contact with the roof&#x2019;s exterior surface. High temperatures in extremely hot regions, cause building roofs to heat up due to direct sunlight hitting the roof surfaces. In these hot climate regions, solar (PV) modules mounted on building roofs would reduce building cooling energy requirements due to their ability to shade the roof. Utilizing a grid-connected photovoltaic system reduces the electricity bill because it minimizes the need for a 100% electricity supply from the national grid. The shopping plazas will profit from reduced energy bills, the ability to meet load demand, and be friendly to the environment if the rooftop space of the commercial shopping plazas is utilized efficiently. As a result, it would be highly beneficial to assess the performance of roof-top photovoltaic systems installed on commercial shopping plazas. In summary, the contributions of this research work are as follows.<list list-type="simple">
<list-item>
<p>&#x2022; Detailed solar resources including solar irradiance (kWh/m<sup>2</sup>), wind speed (m/s), ambient temperature (&#xb0;C), and hourly PV module temperature (&#xb0;C) for each month have been analyzed.</p>
</list-item>
<list-item>
<p>&#x2022; A comprehensive analysis has been conducted to study the impact of solar resources on the efficiency and performance of a photovoltaic energy generation system.</p>
</list-item>
<list-item>
<p>&#x2022; The majority of current research studies assess rooftop photovoltaic systems in a similar way as ground-mounted photovoltaic systems without taking into consideration the mutual shading between parallel arrays of rooftop PV systems. To optimize the inter-row spacing of parallel PV arrays, this research considers and analyzes both rooftop shading and mutual shading between parallel PV arrays.</p>
</list-item>
<list-item>
<p>&#x2022; Monthly and annual generation (kWh), as well as hourly input power (DC) and output power (AC) at inverters terminal, were used to analyze the performance of the grid-connected photovoltaic system on a commercial shopping plaza over the period of a year.</p>
</list-item>
<list-item>
<p>&#x2022; Comprehensive assessment of a photovoltaic system&#x2019;s losses, including those caused by irradiance, shading, soiling, reflection, mismatch, temperature, clipping and wiring, etc.</p>
</list-item>
<list-item>
<p>&#x2022; Detailed testing of the installed PV system is performed including photovoltaic string open-circuit voltage test, photovoltaic string short-circuit current test and other parameters, inverter efficiency tests, and earth resistance and insulation test of DC and power cables.</p>
</list-item>
<list-item>
<p>&#x2022; Annual energy depreciation of installed photovoltaic system for 25 years as well as actual generation of PV system at 100% load and performance ratio were performed at the site to make sure that the equipment&#x2019;s performance guarantees are met, properly installed, and suitable for commercial operations.</p>
</list-item>
<list-item>
<p>&#x2022; Finally, indicators related to environmental impact (quantitative information for reducing CO<sub>2</sub> emissions), levelized cost of energy, and payback period were evaluated.</p>
</list-item>
</list>
</p>
</sec>
<sec sec-type="methods" id="s2">
<title>2 Methodology</title>
<p>From a methodological point of view, this research uses an empirical and deductive research design to improve the energy generation performance and efficiency of rooftop photovoltaic systems. From an operational and economic perspective, the ultimate objective of this research is to investigate how different design factors affect a rooftop photovoltaic system&#x2019;s ability to generate energy. These factors such as tilt and azimuth angles, GHI, ambient temperature, and shading from the surrounding obstacles as shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Factors influencing PV system performance.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Categories</th>
<th align="center">Factors</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">Geographical features</td>
<td align="left">Altitude</td>
</tr>
<tr>
<td align="left">Latitude</td>
</tr>
<tr>
<td rowspan="2" align="center">Weather data</td>
<td align="left">Global horizontal irradiance (GHI) (kWh/m<sup>2</sup>)</td>
</tr>
<tr>
<td align="left">Ambient temperature (&#xb0;C)</td>
</tr>
<tr>
<td rowspan="5" align="center">PV system componets and installtion</td>
<td align="left">PV module specification</td>
</tr>
<tr>
<td align="left">Inverter specification</td>
</tr>
<tr>
<td align="left">Photovoltaic module size (ft<sup>2</sup>)</td>
</tr>
<tr>
<td align="left">The tilt angle of the photovoltaic module</td>
</tr>
<tr>
<td align="left">Azimuth of PV module</td>
</tr>
<tr>
<td rowspan="2" align="center">Site conditions</td>
<td align="left">Roof type and area</td>
</tr>
<tr>
<td align="left">Surrounding obstacles and shading</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s2-1">
<title>2.1 Performance indices</title>
<p>Several indicators were established in accordance with international standards (IEC--61724) used to examine the performance of roof-mounted grid connected PV systems. In this study, the performance indices taken into consideration are the target, actual and specific yields, performance ratio, system efficiency, and losses in the system.</p>
<sec id="s2-1-1">
<title>2.1.1 Target AC yield</title>
<p>
<xref ref-type="disp-formula" rid="e1">Equation 1</xref> is used to compute the target AC yield (<xref ref-type="bibr" rid="B6">Alshehri et al., 2024</xref>; <xref ref-type="bibr" rid="B41">Malaysia, 2016</xref>).<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mi mathvariant="normal">Y</mml:mi>
</mml:mrow>
<mml:mtext>Tar</mml:mtext>
</mml:msub>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>array</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mtext>STC</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mrow>
<mml:mtext>sub</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext>system</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mtext>SH</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mtext>deration</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mtext>Tar</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is target AC-yield, <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>array</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mtext>STC</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is photovoltaic array power at standard test conditions (STC), <inline-formula id="inf3">
<mml:math id="m4">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mrow>
<mml:mtext>sub</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext>system</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is efficiency of the sub-system such as PV modules, inverters, etc., <inline-formula id="inf4">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mtext>SH</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the peak sun-shine hours, <inline-formula id="inf5">
<mml:math id="m6">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mtext>deration</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the deration factor of the energy yield and calculated by using <xref ref-type="disp-formula" rid="e2">Equation 2</xref>.<disp-formula id="e2">
<mml:math id="m7">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>deration</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mtext>mismatch</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mtext>age</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mtext>soil</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mtext>Temp</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf6">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mtext>mismatch</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a derating factor caused by the power mismatch between photovoltaic modules, <inline-formula id="inf7">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mtext>age</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a power derating factor caused by the photovoltaic module aging, and <inline-formula id="inf8">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mrow>
<mml:mtext>soil</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a derating factor caused by soil or dirt accumulated on photovoltaic modules. <inline-formula id="inf9">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:mtext>temp</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is a derating factor of power caused by the cell temperature and calculated by using <xref ref-type="disp-formula" rid="e3">Equation 3</xref>.<disp-formula id="e3">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mi mathvariant="normal">k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>Temp</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b3;</mml:mi>
<mml:mtext>power</mml:mtext>
</mml:msub>
<mml:mrow>
<mml:mn>100</mml:mn>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mrow>
<mml:mtext>avg</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext>cell</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mtext>STC</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where <inline-formula id="inf10">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">T</mml:mi>
<mml:mtext>STC</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is photovoltaic module temperature (&#xb0;C) under standard test conditions (STC), T<sub>avg_cell</sub> is average cell temp (&#xb0;C) under normal operating condition (NOCT), and <inline-formula id="inf12">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b3;</mml:mi>
<mml:mtext>power</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is temp coefficient of the power in %/&#xb0;C (which was obtained from the photovoltaic modules data sheet).</p>
<p>Commonly, target yields are calculated before the installation of grid-connected photovoltaic systems. The target yields are calculated by adding values of P (array)<sub>STC</sub>, &#x3b7;<sub>sub_system</sub>, P<sub>SH,</sub> and k<sub>deration</sub> into <xref ref-type="disp-formula" rid="e1">Equation 1</xref> and multiplying by the month&#x2019;s total number of days (for example, 31 days in March). It can be observed that while P<sub>SH</sub> fluctuates each month due to the fluctuating amounts of solar irradiation, values of P (array)<sub>STC</sub>, &#x3b7;<sub>sub_system,</sub> and k<sub>deration</sub> are nearly constant. The peak sunshine hours are calculated by using <xref ref-type="disp-formula" rid="e4">Equation 4</xref> (<xref ref-type="bibr" rid="B6">Alshehri et al., 2024</xref>; <xref ref-type="bibr" rid="B41">Malaysia, 2016</xref>).<disp-formula id="e4">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">P</mml:mi>
</mml:mrow>
<mml:mtext>SH</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mtext>SI</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mo>&#x2f;</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mtext>SI</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <inline-formula id="inf13">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mtext>SI</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the solar irradiations (kWh/m<sup>2</sup>), whereas <inline-formula id="inf14">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">G</mml:mi>
<mml:mtext>SI</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is solar irradiations under standard test conditions, i.e., 1000 Wh/m<sup>2</sup> (1 kWh/m<sup>2</sup>).</p>
</sec>
<sec id="s2-1-2">
<title>2.1.2 Specific yield</title>
<p>Yield is the term used to define how much energy a grid-connected photovoltaic system produces. It is one of the most significant performance indicators for an on-grid PV system because it has direct impact on performance ratio (PR). <xref ref-type="disp-formula" rid="e5">Equation 5</xref> is used to calculate the measured AC yield produced by a photovoltaic system (<xref ref-type="bibr" rid="B6">Alshehri et al., 2024</xref>; <xref ref-type="bibr" rid="B41">Malaysia, 2016</xref>). <disp-formula id="e5">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mi mathvariant="normal">Y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>AC</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>measured</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mrow>
<mml:mtext>AC</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where E<sub>AC</sub> is measured AC output energy in kWh at time &#x201c;t&#x201d; (month, day, or hour), and N is the number of observations. <xref ref-type="disp-formula" rid="e6">Equation 6</xref> is used to calculate the measured DC yield (<xref ref-type="bibr" rid="B6">Alshehri et al., 2024</xref>; <xref ref-type="bibr" rid="B41">Malaysia, 2016</xref>). <disp-formula id="e6">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">Y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>DC</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>measured</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x2211;</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mrow>
<mml:mtext>DC</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>where E<sub>DC</sub> is the measured DC output energy in kWh at time &#x201c;t&#x201d; (month, day or hour), and N is the number of observations. The quantity of energy produced (AC) by system per-unit capacity is described as the specific yield and calculated by using <xref ref-type="disp-formula" rid="e7">Equation 7</xref> (<xref ref-type="bibr" rid="B6">Alshehri et al., 2024</xref>; <xref ref-type="bibr" rid="B41">Malaysia, 2016</xref>).<disp-formula id="e7">
<mml:math id="m21">
<mml:mrow>
<mml:mtext>Specific&#x2009;Yield</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mtext>AC</mml:mtext>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>array</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mtext>STC</mml:mtext>
</mml:msub>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mtext>kWp</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-1-3">
<title>2.1.3 Performance ratio</title>
<p>Performance ratio defines an important quality factor that assesses the performance of a photovoltaic system and indicates how close, in practical operations, its performance resembles the ideal performance, regardless of site location, PV module orientation, azimuth angle, tilt angle, and module nominal-rated power capacity. It provides a normalized indicator of the system and contains all design and installation characteristics. The target and measured PR are calculated by using <xref ref-type="disp-formula" rid="e8">Equation 8</xref> and <xref ref-type="disp-formula" rid="e9">Equation 9</xref> (<xref ref-type="bibr" rid="B6">Alshehri et al., 2024</xref>; <xref ref-type="bibr" rid="B41">Malaysia, 2016</xref>).<disp-formula id="e8">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi>PR</mml:mi>
</mml:mrow>
<mml:mtext>Tar</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mtext>Tar</mml:mtext>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>array</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mtext>STC</mml:mtext>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mtext>SH</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
<disp-formula id="e9">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mi>PR</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>measured</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mrow>
<mml:mtext>measured</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>array</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mtext>STC</mml:mtext>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mtext>SH</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-1-4">
<title>2.1.4 System efficiencies</title>
<p>The efficiency of the photovoltaic system is divided into three categories: inverter efficiency, photovoltaic array efficiency as well as system efficiency. These efficiencies could be calculated on an annual, monthly, daily, or hourly basis, depending on the available data as well as the desired scale of information. The system efficiency depends on the AC output energy, while the array efficiency depends on the output DC energy. Array efficiency is a measure of the average energy conversion efficiency of photovoltaic arrays and this is the ratio of the daily DC output energy of the array to the product of the daily total solar irradiation in the collector plane and the total surface area of a photovoltaic array. <xref ref-type="disp-formula" rid="e10">Equation 10</xref> is used for calculating the inverter efficiency (<xref ref-type="bibr" rid="B79">Wittkopf et al., 2012</xref>; <xref ref-type="bibr" rid="B17">de Lima et al., 2017</xref>).<disp-formula id="e10">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
</mml:mrow>
<mml:mtext>INV</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>100</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>AC</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>DC</mml:mtext>
</mml:msub>
</mml:mfrac>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>The photovoltaic array efficiency and system efficiency of a grid-connected photovoltaic system are calculated by using <xref ref-type="disp-formula" rid="e11">Equations 11</xref> and <xref ref-type="disp-formula" rid="e12">12</xref> (<xref ref-type="bibr" rid="B79">Wittkopf et al., 2012</xref>; <xref ref-type="bibr" rid="B17">de Lima et al., 2017</xref>). The performance of a complete installed solar (PV) system is represented by overall system efficiency. <disp-formula id="e11">
<mml:math id="m25">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mrow>
<mml:mtext>PV</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext>array</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>100</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>DC</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mrow>
<mml:mtext>col</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>plane</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
<disp-formula id="e12">
<mml:math id="m26">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b7;</mml:mi>
<mml:mtext>system</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mn>100</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
<mml:mtext>AC</mml:mtext>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mrow>
<mml:mtext>col</mml:mtext>
<mml:mo>.</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>plane</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="|">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
<label>(12)</label>
</disp-formula>
</p>
<p>Where E<sub>AC</sub> is measured AC output energy, E<sub>DC</sub> is the measured DC output energy, H<sub>col. plane</sub> is total solar irradiation in collector plane (kilowatt-hour/meter<sup>2</sup>), and A<sub>m</sub> is PV module area (m<sup>2</sup>).</p>
</sec>
<sec id="s2-1-5">
<title>2.1.5 Losses analysis</title>
<p>The grid-connected photovoltaic system experiences energy losses in various forms, however, system and array capture losses are those that are most significant. The system losses are caused by the conversions of DC energy into AC energy through PV inverter and calculated by using <xref ref-type="disp-formula" rid="e13">Equation 13</xref> (<xref ref-type="bibr" rid="B6">Alshehri et al., 2024</xref>; <xref ref-type="bibr" rid="B41">Malaysia, 2016</xref>; <xref ref-type="bibr" rid="B35">Kymakis et al., 2009</xref>):<disp-formula id="e13">
<mml:math id="m27">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">L</mml:mi>
</mml:mrow>
<mml:mtext>system</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>DC</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>array</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mtext>STC</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>AC</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>array</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mtext>STC</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(13)</label>
</disp-formula>
</p>
<p>The PV array capture losses are losses associated with array operation that show how PV array is unable to completely utilize the available irradiation. PV array capture losses are calculated by using <xref ref-type="disp-formula" rid="e14">Equation 14</xref>.<disp-formula id="e14">
<mml:math id="m28">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mi mathvariant="normal">L</mml:mi>
</mml:mrow>
<mml:mtext>capture</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mtext>SH</mml:mtext>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mtext>DC</mml:mtext>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">P</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>array</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mtext>STC</mml:mtext>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(14)</label>
</disp-formula>
</p>
</sec>
</sec>
<sec id="s2-2">
<title>2.2 Rooftop photovoltaic system description</title>
<p>Photovoltaic modules are installed in parallel rows by connecting them in series to form strings. For impartial and unbiased research of rooftop photovoltaic systems, the system is designed with high-efficiency photovoltaic modules (Tier 1). To do this, the capacity of the roof photovoltaic system is first calculated for available roof surface area and specific inter-row distance. If the photovoltaic module is facing the sun, a module can get more solar irradiation, which can increase its efficiency. Sun changes its trajectory around the horizon. Trajectories are higher in the summer season and lower in the winter season. The sun&#x2019;s route around the horizon shifts. The path is steep in the summer and low in the winter. To accommodate these seasonal changes in the sun&#x2019;s trajectory, optimal tilt angles of PV arrays are used, at which the photovoltaic system generates maximum energy for each month. In this research, the Longi Solar Mono PERC Half Cell (LR4-72HPH 435 M) photovoltaic module, Huawei (SUN 2000-60KTL-M0), and Outgoing LT Cabinet with 630A rating are used, and <xref ref-type="table" rid="T2">Table 2</xref> shows the basic information of PV Plant.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Basic information about PV plant.</p>
</caption>
<table>
<tbody valign="top">
<tr>
<td rowspan="5" align="left">PV modules</td>
<td align="center">Manufacturer</td>
<td align="center">Longi</td>
</tr>
<tr>
<td align="center">Technology</td>
<td align="center">Mono PERC Half cell</td>
</tr>
<tr>
<td align="center">Power rating</td>
<td align="center">43<sc>5 W</sc>p</td>
</tr>
<tr>
<td align="center">Product model number</td>
<td align="center">LR4-72HPH 435M</td>
</tr>
<tr>
<td align="center">Total numbers of modules</td>
<td align="center">
<sc>567</sc>
</td>
</tr>
<tr>
<td rowspan="6" align="left">Grid Tie Inverter</td>
<td align="center">Manufacturer</td>
<td align="center">Huawei</td>
</tr>
<tr>
<td align="center">Technology</td>
<td align="center">Transformer less String Inverter</td>
</tr>
<tr>
<td align="center">Power Rating</td>
<td align="center">60 kW</td>
</tr>
<tr>
<td align="center">Product Model Number</td>
<td align="center">SUN 2000-60KTL-M0</td>
</tr>
<tr>
<td align="center">Maximum efficiency</td>
<td align="center">98.7% @380 V/400 V</td>
</tr>
<tr>
<td align="center">Total Numbers of Inverter</td>
<td align="center">04</td>
</tr>
<tr>
<td rowspan="3" align="left">Outgoing LT Cabinet</td>
<td align="center">Technology</td>
<td align="center">VCB</td>
</tr>
<tr>
<td align="center">Rating</td>
<td align="center">630A</td>
</tr>
<tr>
<td align="center">Total Numbers of Cabinet</td>
<td align="center">01</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-3">
<title>2.3 Testing of installed PV power system</title>
<p>Detailed testing has been performed at the site before commissioning to make sure that the equipment&#x2019;s performance guarantees are met, properly installed, correctly adjusted, and suitable for commercial operations. Different testing of installed PV power systems includes.<list list-type="simple">
<list-item>
<p>1. Photovoltaic string open-circuit voltage test</p>
</list-item>
<list-item>
<p>2. Photovoltaic string short-circuit current test and other parameters</p>
</list-item>
<list-item>
<p>3. Inverter efficiency tests</p>
</list-item>
<list-item>
<p>4. Earth resistance and insulation test of DC and power cables</p>
</list-item>
<list-item>
<p>5. Performance ratio</p>
</list-item>
</list>
</p>
</sec>
<sec id="s2-4">
<title>2.4 Installation site</title>
<p>The building of a commercial shopping plaza is taken as the case study for installation of rooftop on-grid photovoltaic system. There is no specific data on the roof type and roof area of the commercial building; therefore, just one commercial building was chosen. The commercial building is located at 31.4635762 and 73.0816969 in Faisalabad, Pakistan. The satellite view and physical layout of the commercial shopping plaza are shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<p>The commercial shopping plaza has a flat roof and two buildings. The total construction area of a commercial shopping plaza is 52,641 square feet, and the total area available for the installation of a photovoltaic system is 37,074 square feet.<list list-type="simple">
<list-item>
<p>&#x2022; Building 1 (Field Segment 1): The first field segment of the commercial shopping plaza has 27,153.5 square feet of roof area for solar (PV) system installation and a flat roof. The photovoltaic (PV) modules are installed on the flat roof at a fixed tilt angle.</p>
</list-item>
<list-item>
<p>&#x2022; Building 2 (Field Segment 2): The second field segment of the commercial shopping plaza has 9,920.8 square feet of roof area for solar (PV) system installation and a flat roof. The photovoltaic (PV) modules are installed on the flat roof at a fixed tilt angle.</p>
</list-item>
</list>
</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Satellite view and physical layout of a commercial shopping plaza.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g001.tif"/>
</fig>
<p>A survey of the site was conducted and found that there were no noticeable obstructions (like high-rise surrounding buildings and trees) that create shadows on the installed PV modules. The helioScope model was developed taking into consideration the architectural design of a building, specification of the photovoltaic system (module, inverter, etc.), and shading factors. Physical features are modeled in the system, including system size, PV module type (Si-Mono, Si-Poly), tilt angle, azimuth angles, and frame size. The global map can be used to determine the partition and boundaries of the building. The detailed parameters of the photovoltaic system (such as module type and rating, azimuth and tilt angles, module orientation, structure frame size, and spacing, etc.) are imported into the parameter setting bar. Weather data sets are based on local meteorological conditions at a given location.</p>
</sec>
<sec id="s2-5">
<title>2.5 Calculation of appropriate roof area</title>
<p>The primary components of photovoltaic power generation systems, which directly transform solar energy into electric energy are photovoltaic modules. Moreover, since sun&#x2019;s energy is irregular/sporadic and fluctuates with time, it is crucial to evaluate how much solar irradiance is effectively converted into electrical energy. Simulation Software makes these evaluations using measurements of surface irradiance or satellite data. Helioscope (<xref ref-type="bibr" rid="B59">&#x15e;evik, 2022</xref>; <xref ref-type="bibr" rid="B65">Tamoor et al., 2022d</xref>; <xref ref-type="bibr" rid="B82">Yar et al., 2022</xref>) provides benefits like adaptability, sensitivity to the technical aspects of selected PV modules, changeability or modifiability of the orientation and alignment of the photovoltaic modules, and selections of PV inverters and AC/DC wirings. Helioscope simulation software is used for rooftop photovoltaic systems in every field segment. The following <xref ref-type="disp-formula" rid="e15">Equations 15</xref> &#x2013;<xref ref-type="disp-formula" rid="e17">17</xref> are used for each field segment.<disp-formula id="e15">
<mml:math id="m29">
<mml:mrow>
<mml:msub>
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<label>(15)</label>
</disp-formula>
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<label>(16)</label>
</disp-formula>
<disp-formula id="e17">
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</p>
<p>Where.<list list-type="simple">
<list-item>
<p>&#x2022; A<sub>s</sub>: Suitable area (m<sup>2</sup>)</p>
</list-item>
<list-item>
<p>&#x2022; A<sub>m</sub>: Photovoltaic module area (m<sup>2</sup>)</p>
</list-item>
<list-item>
<p>&#x2022; A: Roof area of the building (m<sup>2</sup>)</p>
</list-item>
<list-item>
<p>&#x2022; N<sub>m</sub>: Number of photovoltaic modules settled by Helioscope software</p>
</list-item>
<list-item>
<p>&#x2022; C<sub>S</sub>: Suitable area constant (%)</p>
</list-item>
<list-item>
<p>&#x2022; E: Annual energy generation (MWh/year) of PV system computed by Helioscope</p>
</list-item>
<list-item>
<p>&#x2022; E<sub>avg/m</sub>: Average annual energy generation per PV panel ((MWh/year)/panel)</p>
</list-item>
</list>
</p>
</sec>
<sec id="s2-6">
<title>2.6 Economic analysis</title>
<p>The financial feasibility of an on-grid roof-mounted photovoltaic system is evaluated by considering indicators such as the payback period and levelized cost of electricity (LCOE). The LCOE is a measurement of the average net present cost of PV energy generation during its lifetime, taking into account the CAPEX of the PV power plants as well as operation and maintenance expenses (OPEX). The payback period and the LCOE are calculated using <xref ref-type="disp-formula" rid="e18">Equation 18</xref> and <xref ref-type="disp-formula" rid="e19">Equation 19</xref> (<xref ref-type="bibr" rid="B24">Habib et al., 2023d</xref>).<disp-formula id="e18">
<mml:math id="m32">
<mml:mrow>
<mml:mtext>Payback&#x2009;period</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Photovoltaic</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mtext>system</mml:mtext>
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<mml:mi mathvariant="normal">s</mml:mi>
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<mml:mtext>cost</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>CAPEX</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mtext>Total</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>annual</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>of</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>system</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(18)</label>
</disp-formula>
<disp-formula id="e19">
<mml:math id="m33">
<mml:mrow>
<mml:mtext>LCOE</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>CAPEX</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>OPEX</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
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<mml:mtext>for</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>25</mml:mn>
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<mml:mtext>years</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mtext>Energy</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>generations</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>in</mml:mtext>
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<mml:mtext>years</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mfrac>
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<mml:mo>$</mml:mo>
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</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(19)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-7">
<title>2.7 Environmental analysis</title>
<p>An environmental analysis of grid-connected photovoltaic systems was conducted using the quantity of carbon dioxide (CO<sub>2</sub>) that can be decreased by the installation of photovoltaic system on the roof of a commercial shopping plaza. The average carbon dioxide factor is 0.58 tCO<sub>2</sub>/MWh. Annual CO<sub>2</sub> emission saved in tons is computed by using <xref ref-type="disp-formula" rid="e20">Equation 20</xref> (<xref ref-type="bibr" rid="B6">Alshehri et al., 2024</xref>).<disp-formula id="e20">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
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<mml:mi>O</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
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</mml:mrow>
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</mml:mrow>
</mml:math>
<label>(20)</label>
</disp-formula>
</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Solar resources</title>
<p>Solar resource data is collected from the Meteonorm (<xref ref-type="bibr" rid="B68">Tamoor et al., 2022e</xref>) database. Pakistan has an extremely hot environment; thus, substantial air conditioning is needed in summer. This leads to a very high electric load during this time of year. Peak loads in Pakistan occur in the daytime during the summer solstice due to the substantial cooling loads. As a result, in order to meet high energy demands during the hot summer season, photovoltaic installations could be extremely beneficial. The amount of energy a photovoltaic system produces is directly related to solar irradiance from the sun. The amount of energy produced by photovoltaic modules increases as more solar irradiance is absorbed by photovoltaic modules (<xref ref-type="bibr" rid="B68">Tamoor et al., 2022e</xref>). Solar irradiance, wind speed, ambient temperature, and hourly module temperature have a significant influence on photovoltaic energy generation system&#x2019;s performance. The PV module current has an almost linear relationship with solar irradiance, resulting in an increase in module current with the increase in solar irradiance. The hourly data for global horizontal irradiance (GHI) of the selected site for this research is shown in <xref ref-type="fig" rid="F2">Figure 2A</xref>. According to the Figure, the summer months (April, May, June, July, August, and September) experience the highest levels of global horizontal irradiances. Furthermore, the maximum hourly value of the GHI is 915 W/m<sup>2</sup> in May. From 8:00 a.m. until 12:30 p.m., the solar irradiance started to increase. Thereafter, it started to fall until the end of the day.</p> <p>
<xref ref-type="fig" rid="F2">Figure 2B</xref> indicates the monthly global horizontal irradiation for the selected site. The GHI is measured in May at its highest level (188.8 kWh/m<sup>2</sup>) and in December at its lowest level (82.3 kWh/m<sup>2</sup>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A)</bold> Hourly data for global horizontal irradiance for each month <bold>(B)</bold>. Monthly global horizontal irradiance (GHI) at the proposed site.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g002.tif"/>
</fig>
<p>Local weather conditions are the main factor affecting wind speed. Particular unusual meteorological conditions such as monsoon season, cyclones, and hurricanes can have an enormous impact on wind speed formation. The wind speed is unstable and variable as can be observed in <xref ref-type="fig" rid="F3">Figure 3A</xref>. The wind speed fluctuates between 0.3 m/s at the lowest point to 7.8 m/s at the highest point. The daily average maximum wind speed is 3.406 m/s, while the average annual wind speed is 2.133 m/s. Since the photovoltaic power generation system does not fully utilize solar irradiance, the remaining is converted to heat, which leads to the overheating of the photovoltaic modules. One of the primary external factors that adversely impact a photovoltaic system&#x2019;s capability to produce power is ambient temperature. Ambient temperatures range from 5.1&#xb0;C to 47.6&#xb0;C, while average annual ambient temperature is 28.49&#xb0;C as shown in <xref ref-type="fig" rid="F3">Figure 3B</xref>. As was to be predicted, the increases in the ambient temperature are followed by increases in the levels of solar irradiance.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> Wind speed at the proposed site. <bold>(B)</bold> Ambient temperature at the proposed site.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g003.tif"/>
</fig>
<p>The operating temperature of solar cells is reduced by wind flow over photovoltaic modules. The cooling impact of wind on photovoltaic modules makes higher wind speeds beneficial for photovoltaic module operation. The photovoltaic module&#x2019;s surface temperature increases as the ambient temperature rises. Therefore, the PV module&#x2019;s cell temperature will also rise, as a result the operating voltage of the solar cell and output power of the PV system both decrease (<xref ref-type="bibr" rid="B26">Habib et al., 2023e</xref>). The maximum hourly operating temperature (&#xb0;C) of a photovoltaic module is 67.83&#xb0;C in April, while the minimum hourly operating temperature is 1.22&#xb0;C in January as shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. Additionally, the average daily maximum operating temperature of a photovoltaic module is 59.70&#xb0;C, the average daily minimum operating temperature of a solar (PV) module is 4.47&#xb0;C and the average annual operating temperature of a solar (PV) module is 34.85&#xb0;C. The daily and annual average module temperature is an average that takes into account both daytime and overnight temperatures. The ambient temperature was consistently lower than PV module temperature, which could be a result of thermal losses that occur during power production.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Hourly operating temperature of PV module for each month.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g004.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Optimization of PV systems and inter-row spacing</title>
<p>In order to identify the optimum inter-row spacing for photovoltaic modules and the potential output energy at the proposed site, a series of experiments have been performed. To maximize output energy production of the PV system, we examined different Inter-row spacing. The simulation experiment is divided into five different scenarios. According to research (<xref ref-type="bibr" rid="B26">Habib et al., 2023e</xref>), the photovoltaic system generates its maximum energy at a 15&#xb0; tilt angle and 180&#xb0; of azimuth in the same city. As a result, in all five scenarios, a 15&#xb0; tilt angle and 180&#xb0; azimuth angle are used. In five scenarios, PV module inter-row spacing is 1 foot, 2 feet, 5 feet, 8 feet and 11 feet respectively.</p>
<p>For the purpose of capturing the most intense solar irradiance, the photovoltaic module is tilted at a specific angle so that it faces direct sunlight for the longest duration of a day. The tilt angle of photovoltaic module creates or leads to mutual shading on parallel rows of a photovoltaic array. It is critical to determine the optimum inter-row spacing for the maximum performance of a photovoltaic system because mutual shading impacts the system&#x2019;s efficiency.</p>
<p>The photovoltaic modules are installed in parallel rows and tested at various inter-row spacings in order to analyze the losses caused by mutual shading of photovoltaic arrays. Because of limited roof space, the total number of photovoltaic modules in the planned layout differs, with different inter-row spacing between parallel rows of PV modules. <xref ref-type="table" rid="T3">Table 3</xref> presents the design summary of rooftop photovoltaic systems with different Inter-row spacing.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Design Summary of rooftop photovoltaic systems.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Parameters</th>
<th colspan="5" align="center">Inter-row spacing</th>
</tr>
<tr>
<th align="center">1 foot</th>
<th align="center">2 feet</th>
<th align="center">5 feet</th>
<th align="center">8 feet</th>
<th align="center">11 feet</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Number of Photovoltaic modules</td>
<td align="center">860</td>
<td align="center">760</td>
<td align="center">567</td>
<td align="center">450</td>
<td align="center">374</td>
</tr>
<tr>
<td align="left">Number of strings</td>
<td align="center">45</td>
<td align="center">40</td>
<td align="center">34</td>
<td align="center">24</td>
<td align="center">21</td>
</tr>
<tr>
<td align="left">PV Modules per string</td>
<td align="center">19</td>
<td align="center">19</td>
<td align="center">17/18/15</td>
<td align="center">18</td>
<td align="center">17</td>
</tr>
<tr>
<td align="left">Number of inverters</td>
<td align="center">5</td>
<td align="center">5</td>
<td align="center">4</td>
<td align="center">3</td>
<td align="center">3</td>
</tr>
<tr>
<td align="left">Frame Size</td>
<td align="center">L2 (1 wide x 2 up)</td>
<td align="center">L2 (1 wide x 2 up)</td>
<td align="center">L2 (1 wide x 2 up)</td>
<td align="center">L2 (1 wide x 2 up)</td>
<td align="center">L2 (1 wide x 2 up)</td>
</tr>
<tr>
<td align="left">Module Spacing</td>
<td align="center">0.040 feet</td>
<td align="center">0.040 feet</td>
<td align="center">0.040 feet</td>
<td align="center">0.040 feet</td>
<td align="center">0.040 feet</td>
</tr>
<tr>
<td align="left">PV module Orientation</td>
<td align="center">Landscape</td>
<td align="center">Landscape</td>
<td align="center">Landscape</td>
<td align="center">Landscape</td>
<td align="center">Landscape</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The performance comparison of PV system with different inter-row spacing is shown in <xref ref-type="table" rid="T4">Table 4</xref>. This comparison includes annually energy generation (MWh), performance ratio of the system at different tilt angle, specific yield (kWh/kWp), solar access (%), TOF, and average total solar resource factor (TSRF).</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Performance comparison of a photovoltaic system with different inter-row spacing.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Parameters</th>
<th colspan="5" align="center">Inter-row spacing</th>
</tr>
<tr>
<th align="center">1 foot</th>
<th align="center">2 feet</th>
<th align="center">5 feet</th>
<th align="center">8 feet</th>
<th align="center">11 feet</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Shaded Irradiance (kWh/m<sup>2</sup>)</td>
<td align="center">1,712.6</td>
<td align="center">1,766.8</td>
<td align="center">1816.5</td>
<td align="center">1,823.7</td>
<td align="center">1,825.0</td>
</tr>
<tr>
<td align="center">Annual Energy Generation</td>
<td align="center">517.9 MWh</td>
<td align="center">481.2 MWh</td>
<td align="center">371.6 MWh</td>
<td align="center">297.5 MWh</td>
<td align="center">246.8 MWh</td>
</tr>
<tr>
<td align="center">Performance Ratio</td>
<td align="center">75.3%</td>
<td align="center">79.2%</td>
<td align="center">82.1%</td>
<td align="center">82.7%</td>
<td align="center">82.6%</td>
</tr>
<tr>
<td align="center">Specific yield (kWh/kWp)</td>
<td align="center">1,384.3</td>
<td align="center">1,455.4</td>
<td align="center">1,508.0</td>
<td align="center">1,520.0</td>
<td align="center">1,517.0</td>
</tr>
<tr>
<td align="center">Tilt and Orientation Factor (TOF) (%)</td>
<td align="center">97.4%</td>
<td align="center">97.4%</td>
<td align="center">97.4%</td>
<td align="center">97.4%</td>
<td align="center">97.4%</td>
</tr>
<tr>
<td align="center">Solar Access (%)</td>
<td align="center">93.2%</td>
<td align="center">96.2%</td>
<td align="center">98.9%</td>
<td align="center">99.3%</td>
<td align="center">99.3%</td>
</tr>
<tr>
<td align="center">Avg. Total Solar Resource Factor (TSRF) (%)</td>
<td align="center">90.8%</td>
<td align="center">93.7%</td>
<td align="center">96.3%</td>
<td align="center">96.7%</td>
<td align="center">96.8%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The photovoltaic energy generation system installed with 1- and 2-feet Inter-row spacing has a maximum number of PV modules but the performance ratio (PR), specific yield (kWh/kWp), solar access and TSRF are low because the efficiency of the system is decreased due to mutual shading effect on photovoltaic modules. In the case of a photovoltaic energy generation system having 8- and 11-feet inter-row spacing, the overall installed capacity of PV system is decreased, but the PR, specific yield (kWh/kWp), solar access, and TSRF are high because there is no mutual shading impact on the photovoltaic modules. Results in <xref ref-type="table" rid="T4">Table 4</xref> show that the performance of the rooftop PV system is impacted by inter-row spacing. By increasing inter-row spacing between parallel photovoltaic arrays, the impact of mutual shading on photovoltaic modules is minimized, but the cost of electric wiring and land increases as a result. By comparison analysis, we find that a photovoltaic system installed with 5 feet inter-row spacing is more efficient. With 5 feet inter-row spacing, the results of the simulation indicate that the annual energy generation of the PV system is 371.6 MWh, specific yield (kWh/kWp) is 1,508.0, performance ratio is 82.1%, solar access is 98.9% and TSRF is 96.3%.</p>
</sec>
<sec id="s3-3">
<title>3.3 Case study implementation</title>
<p>The building of a commercial shopping plaza is taken as the case study for the installation of a rooftop on-grid photovoltaic system. In accordance with the results discussed in the preceding section, a PV system with a 15&#xb0; tilt angle and 5 feet inter-row spacing is designed for the commercial shopping plaza. The commercial shopping plaza has a flat roof and two buildings.</p>
<sec id="s3-3-1">
<title>3.3.1 Photovoltaic system layout on commercial building</title>
<p>The roof of the commercial shopping plaza has been divided into two segments. The PV system for commercial buildings consists of monocrystalline modules mounted with an L2 structure (2 up x 1 wide) at a 15&#xb0; tilt angle and 180&#xb0; azimuth angle. This is because the roof of the building is flat. The photovoltaic module is installed in landscape orientation. The interrow spacing is considered to be 5 feet, a setback is 2.0 feet, and the PV module spacing is 0.040 feet. Photovoltaic modules with a shading rate exceeding 3% have been eliminated.</p>
<p>The schematic configuration of the connection between photovoltaic modules and inverter shows that the 34 photovoltaic strings are connected to 4 Huawei inverters (SUN 2000-125KTL-JPH0). The first two inverters (1 and 2) are each connected to eight strings, the first four strings consist of 18 photovoltaic modules each, while the four remaining strings consist of 17 photovoltaic modules each. The third inverter is connected to eight strings, each string consisting of 17 photovoltaic modules, except one string which has 18 photovoltaic modules. Similarly, ten photovoltaic module strings are connected to the inverter 4, and each string consists of 15 photovoltaic modules. The schematic configuration of the connection between photovoltaic modules and inverters is shown in <xref ref-type="fig" rid="F5">Figure 5</xref>. The system employs two distinct types of disconnectors: DC breaker (2-pole) is used for each PV string and these breakers are installed between PV arrays and ongrid string inverters, while the AC breakers (4-pole) are installed between the ongrid string inverters and the utility grid. The service panel is used to connect PV systems and AC energy from the utility grid.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Schematic configuration of the connection between photovoltaic modules and inverters.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g005.tif"/>
</fig>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Energy generation</title>
<p>In accordance with the simulation findings, the PV system installed on the roof of a commercial shopping plaza has a DC nameplate capacity of 246.645 kW, and the AC nameplate capacity of the inverter is 240 kW with a 1.02 load ratio. The photovoltaic system installed on the commercial shopping plaza has an annual energy generation of 371.4 MWh, a specific power generation (kWh/kWp) of 1,508.4, and a performance ratio (PR) of 82.1%. <xref ref-type="fig" rid="F6">Figure 6</xref> shows the variation in DC input power (W) and AC output power (W) of all four inverters over the period of a year. The ongrid string inverter transforms input DC power to output AC power with high efficiency, as can be seen by comparing <xref ref-type="fig" rid="F6">Figures 6A, B</xref>. The output power is barely less than input power from PV arrays, showing an inverter efficiency of approximately 95.93%. The maximum daily DC inverter input power is 194614.7417 W, and the average daily DC inverter input power is 158881.5110 W. The maximum daily AC inverter output power is 186698.6914 W, whereas the average daily AC inverter output power is 152231.6311 W. The inverter efficiency in the summer season is shown in <xref ref-type="fig" rid="F7">Figure 7</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Variation in inverter power <bold>(A)</bold> DC input power (W) <bold>(B)</bold> AC output power (W) over a year.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Inverter efficiency in the summer season.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g007.tif"/>
</fig>
<p>The monthly output energy of a PV system installed with 5 feet of inter-row spacing and the measured plane of array (POA) irradiation is presented in <xref ref-type="fig" rid="F8">Figure 8</xref>. The POA irradiation varied between 189.1 kWh/m<sup>2</sup> in May and 105.3 kWh/m<sup>2</sup> in December. The lowest values of POA irradiation occur in the winter season, and the highest values occur in the summer season. The lowest monthly energy generation is 22202.80 kWh in December, while the maximum monthly energy generation is 36960.10 kWh in May. A commercial shopping plaza&#x2019;s roof-mounted photovoltaic system produced 371672.1 kWh during a year, with an average monthly electricity generation of 30972.67 kWh.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Monthly output energy of a PV system and POA irradiation.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g008.tif"/>
</fig>
<p>As seen in <xref ref-type="fig" rid="F8">Figure 8</xref> above, the energy generation of a photovoltaic system is maximum in summer season (May&#x2013;Jun) and the energy generation is minimal in the winter season (Nov&#x2013;Jan). According to the simulation results, the total irradiance (kWh/m<sup>2</sup>) on collector is 1724.9 kWh/m<sup>2</sup>. Annual nameplate energy of the system is 425017.6 kWh, the output energy at irradiance levels is 423,121.8 kWh, the optimal DC output is 378460.5 kWh, the energy at inverter output is 373539.7, whereas the total amount of energy that is fed into the national power grid is 371672.1 kWh as can be seen in <xref ref-type="table" rid="T5">Table 5</xref>.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>The annual generation of installed system with 5 feet inter-row spacing.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="left">Description</th>
<th align="left">Output</th>
<th align="left">% Delta</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="6" align="left">Irradiance (kWh/m<sup>2</sup>)</td>
<td align="left">Annual GHI</td>
<td align="left">1691.9</td>
<td align="left"/>
</tr>
<tr>
<td align="left">POA Irradiance</td>
<td align="left">1837.3</td>
<td align="left">8.6%</td>
</tr>
<tr>
<td align="left">Shaded Irradiance</td>
<td align="left">1816.5</td>
<td align="left">&#x2212;1.1%</td>
</tr>
<tr>
<td align="left">Irradiance after Reflection</td>
<td align="left">1760.1</td>
<td align="left">&#x2212;3.1%</td>
</tr>
<tr>
<td align="left">Irradiance after Soiling</td>
<td align="left">1724.9</td>
<td align="left">&#x2212;2.0%</td>
</tr>
<tr>
<td align="left">Total Irradiance on Collector</td>
<td align="left">1724.9</td>
<td align="left">0.0%</td>
</tr>
<tr>
<td rowspan="8" align="left">Energy (kWh)</td>
<td align="left">Nameplate</td>
<td align="left">425017.6</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Output at Irradiance Levels</td>
<td align="left">423121.79</td>
<td align="left">&#x2212;0.41%</td>
</tr>
<tr>
<td align="left">Output at the Cell Temp Derate</td>
<td align="left">392483.4</td>
<td align="left">&#x2212;7.2%</td>
</tr>
<tr>
<td align="left">Output After Mismatch</td>
<td align="left">379549.1</td>
<td align="left">&#x2212;3.3%</td>
</tr>
<tr>
<td align="left">Optimal DC Output</td>
<td align="left">378460.5</td>
<td align="left">&#x2212;0.3%</td>
</tr>
<tr>
<td align="left">Constrained DC Output</td>
<td align="left">378459.7</td>
<td align="left">0.0%</td>
</tr>
<tr>
<td align="left">Inverter Output</td>
<td align="left">373539.7</td>
<td align="left">&#x2212;1.3%</td>
</tr>
<tr>
<td align="left">Energy to Grid</td>
<td align="left">371672.1</td>
<td align="left">&#x2212;0.5%</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Due to prolonged field exposure and environmental factors including temperature and humidity, photovoltaic modules are vulnerable to degradation when exposed to outside conditions. The output power of photovoltaic modules decreases due to degradation, which also affects the efficiency of solar photovoltaic systems. Manufacturers of photovoltaic modules provide performance warranties to ensure the durability and reliability of photovoltaic modules. The photovoltaic module&#x2019;s performance warranty period was 5 years in the 1980s and extended to 10&#x2013;20 years in the 1990s. Currently, the peak power of photovoltaic modules should not decrease to 80% of the original peak power during the 25-year performance warranty period (<xref ref-type="bibr" rid="B32">Jordan and Kurtz, 2013</xref>). This indicates that the power degradation rate should not be more than 0.8% per year. The annual production of roof-mounted PV system installed on a commercial shopping plaza in the first year is 371672.1 kWh, in the second year, the annual production is 369760.1 kWh, while in the twenty-fifth year, the annual production is 328329.1 kWh and total annual production of PV system in 25 years is 8739615.5 kWh as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>. This means that the installed photovoltaic system depreciates energy at a rate of 0.88% per year and falls in the standard warranty rate of 0.8% per year.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Annual energy depreciation of installed photovoltaic system.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g009.tif"/>
</fig>
<p>The degradation rate calculated in this research study provides better results compared to previous research studies, <xref ref-type="bibr" rid="B42">Malvoni et al. (2020)</xref> conducted research in similar conditions and found that the degradation rate is estimated at 0.50%/year and 0.32%/year respectively, after a 50-month operational period. The research study conducted by <xref ref-type="bibr" rid="B16">Daher et al. (2023)</xref> indicates that the degradation rates for maximum power are 0.84% per year throughout the operational period of the system. <xref ref-type="bibr" rid="B27">Hasan et al. (2022)</xref> demonstrated that the performance of photovoltaic modules degrades as the temperature of the modules increases. Efficiency decreases by 0.03%&#x2013;0.05% for each 1&#xb0;C increase in temperature without cooling, and a decline of up to 69% at an operating temperature of 64&#xb0;C.</p>
</sec>
<sec id="s3-3-3">
<title>3.3.3 Losses in PV system</title>
<p>The efficiency, performance, and output energy of a PV array are significantly impacted by losses in a photovoltaic system. <xref ref-type="fig" rid="F10">Figure 10</xref> demonstrates various losses of the photovoltaic system installed with 5 feet Inter-row spacing. The temperature, wiring, mismatch, clipping, AC system, inverters, reflection, shading, soiling, and irradiance are some of the system losses shown in this figure. These losses are directly correlated with the output of the PV system. In the designed system installed on a commercial shopping plaza, the system has 7.2% temperature losses, 3.3% mismatch losses, 0.40% wiring losses, 0.0% clipping losses, 0.5% AC system losses, 1.3% inverters losses, 3.1% reflection losses, 1.1% shading losses, 2.0% soiling losses and 0.41% irradiance losses.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Losses of a photovoltaic system installed with 5 feet Inter-row spacing.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g010.tif"/>
</fig>
</sec>
<sec id="s3-3-4">
<title>3.3.4 Monitoring and inspection of installed PV power system</title>
<p>Detailed testing has been performed at the site before commissioning to make sure that the equipment&#x2019;s performance guarantees are met, properly installed, correctly adjusted, and suitable for commercial operations. All steps of PV module installation, inverter installation as, and cabinet installation as shown in <xref ref-type="table" rid="T6">Table 6</xref> have been meticulously checked.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Monitoring and inspection of Installed PV Power System.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="6" align="left">Monitoring and inspection of PV module installation</th>
</tr>
<tr>
<th align="center">Inverter &#x23;</th>
<th align="center">String &#x23;</th>
<th align="center">Tightness</th>
<th align="center">Row to row spacing</th>
<th align="center">Module to module Grounding</th>
<th align="center">Module to frame Grounding</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">1&#x2013;8</td>
<td align="center">Ok</td>
<td align="center">5 Feet</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">1&#x2013;8</td>
<td align="center">Ok</td>
<td align="center">5 Feet</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">1&#x2013;8</td>
<td align="center">Ok</td>
<td align="center">5 Feet</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">1&#x2013;10</td>
<td align="center">Ok</td>
<td align="center">5 Feet</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
</tbody>
</table>
<table>
<thead valign="top">
<tr>
<th colspan="5" align="left">Monitoring and inspection of inverter installation</th>
</tr>
<tr>
<th align="center">Inspection</th>
<th align="center">Inverter No. 1</th>
<th align="center">Inverter No. 2</th>
<th align="center">Inverter No. 3</th>
<th align="center">Inverter No. 4</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">AC side Connection Configuration</td>
<td align="center">Red/Yellow/Blue/Black</td>
<td align="center">Red/Yellow/Blue/Black</td>
<td align="center">Red/Yellow/Blue/Black</td>
<td align="center">Red/Yellow/Blue/Black</td>
</tr>
<tr>
<td align="center">AC Side Connection Tightness</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">DC Side Connection</td>
<td align="center">Red/Black</td>
<td align="center">Red/Black</td>
<td align="center">Red/Black</td>
<td align="center">Red/Black</td>
</tr>
<tr>
<td align="center">Configurations</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">DC Side Connection Tightness</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">Communication Wire</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">Connection</td>
<td align="center">0.31-meter</td>
<td align="center">0.31-meter</td>
<td align="center">0.31-meter</td>
<td align="center">0.31-meter</td>
</tr>
<tr>
<td align="center">Levelness</td>
<td align="center">5-Feet</td>
<td align="center">5-Feet</td>
<td align="center">5-Feet</td>
<td align="center">5-Feet</td>
</tr>
<tr>
<td align="center">Inverter to Inverter Spacing</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Inverter Clearance to Floor</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Inverter Body Ground</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Inverter Fixing to Wall</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Iron Duct Installation for PV Cable</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td align="center">Iron Duct Installation for AC Cables</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
<td align="center">Yes</td>
</tr>
<tr>
<td colspan="5" align="center">The distance between the two inverters is 0.6 m</td>
</tr>
</tbody>
</table>
<table>
<thead valign="top">
<tr>
<th colspan="4" align="left">Monitoring and inspection of LT cabinet</th>
</tr>
<tr>
<th align="center">Item</th>
<th align="center">Incoming Cabinet 1</th>
<th align="center">Outgoing Cabinet</th>
<th align="center">Metering Cabinet</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Placement</td>
<td align="left">Wall Mount</td>
<td align="left">Ground Mount</td>
<td align="left">Wall Mount</td>
</tr>
<tr>
<td align="center">Electrical Connections</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">Communication Wire Connection</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">Vertical Levelness</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">Horizontal Straightness</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">Panel Appearance</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
<tr>
<td align="center">Grounding Connection</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
<td align="center">Ok</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3-5">
<title>3.3.5 Performance analysis of installed PV system</title>
<p>The on-grid solar (PV) system was installed on a commercial shopping plaza with a 15&#xb0; tilt angle, 5 feet Inter-row spacing, and 180&#xb0; azimuth angle as shown in <xref ref-type="fig" rid="F11">Figure 11</xref>.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Installed PV system.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g011.tif"/>
</fig>
<p>Test results of the installed photovoltaic system were taken for 30 days to evaluate and investigate the output generated energy (kWh) and performance of the photovoltaic (PV) system. We analyzed the experimental system in May because simulation results indicated that photovoltaic system produced the most energy during that month. <xref ref-type="fig" rid="F12">Figure 12</xref> displays the daily actual generation of the photovoltaic system and the daily irradiation level. The figure shows that the average amount of irradiation is 4.83 kWh/m<sup>2</sup>. The daily maximum output energy generation of installed PV system (1333.676 kWh) was recorded on day 23, and its average energy generation was 1091.56 kWh. Due to a faulty transformer on days 2 and 8, energy production is zero. The system is shut down for diagnostic tests from day 14 to day 16.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>The daily actual generation of installed PV system and irradiation level.</p>
</caption>
<graphic xlink:href="fenrg-12-1483755-g012.tif"/>
</fig>
</sec>
<sec id="s3-3-6">
<title>3.3.6 Different tests performed during commissioning</title>
<p>
<list list-type="simple">
<list-item>
<p>1. Photovoltaic string open--circuit voltage test.</p>
</list-item>
<list-item>
<p>2. Photovoltaic string short--circuit current test and other parameters.</p>
</list-item>
<list-item>
<p>3. Inverter efficiency tests.</p>
</list-item>
<list-item>
<p>4. Earth resistance and insulation test of DC and power cables.</p>
</list-item>
<list-item>
<p>5. Performance ratio.</p>
</list-item>
</list>
</p>
<sec id="s3-3-6-1">
<title>3.3.6.1 PV String open circuit voltage test</title>
<p>The maximum voltage that a solar PV cell can generate is called the open-circuit voltage, or V<sub>OC</sub>, and it occurs whenever there is no current moving/passing through the cell. Open circuit voltage (V<sub>OC</sub>) indicates the amount of forward bias of solar cell brought on by junction&#x2019;s bias with the photogenerated current. For each installed inverter, the voltages of all strings are also shown in <xref ref-type="table" rid="T7">Table 7</xref>. As shown in the table, the open circuit voltages of all strings are within the rated range (MPPT range of the inverter. The maximum V<sub>OC</sub> for inverter 1 is 835 V, inverter 2 is 834 V, inverter 3 is 835 V and inverter 4 is 698 V. Similarly, maximum V<sub>OC</sub> for a string consisting of 18 PV modules is 835 V, V<sub>OC</sub> for a string consisting of 17 PV modules is 789 V and V<sub>OC</sub> for string consist of 15 PV modules is 698 V.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>PV string open circuit voltage test.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Inverter</th>
<th align="center">String No</th>
<th align="center">No of modules</th>
<th align="center">V<sub>OC</sub> (voltage)</th>
<th align="center">Optimal voltage range</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="8" align="center">1</td>
<td align="center">1</td>
<td align="center">18</td>
<td align="center">832</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">18</td>
<td align="center">831</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">18</td>
<td align="center">835</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">18</td>
<td align="center">834</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">17</td>
<td align="center">784</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">17</td>
<td align="center">783</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">17</td>
<td align="center">785</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">17</td>
<td align="center">784</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td rowspan="8" align="center">2</td>
<td align="center">1</td>
<td align="center">18</td>
<td align="center">834</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">18</td>
<td align="center">834</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">18</td>
<td align="center">834</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">18</td>
<td align="center">833</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">17</td>
<td align="center">788</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">17</td>
<td align="center">788</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">17</td>
<td align="center">785</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">17</td>
<td align="center">788</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td rowspan="8" align="center">3</td>
<td align="center">1</td>
<td align="center">17</td>
<td align="center">787</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">17</td>
<td align="center">784</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">17</td>
<td align="center">789</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">17</td>
<td align="center">788</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">17</td>
<td align="center">787</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">17</td>
<td align="center">785</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">17</td>
<td align="center">783</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">18</td>
<td align="center">835</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td rowspan="7" align="center">4</td>
<td align="center">1</td>
<td align="center">15</td>
<td align="center">695</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">15</td>
<td align="center">696</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">15</td>
<td align="center">697</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">15</td>
<td align="center">696</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">15</td>
<td align="center">697</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">15</td>
<td align="center">695</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">15</td>
<td align="center">698</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td rowspan="3" align="center"/>
<td align="center">8</td>
<td align="center">15</td>
<td align="center">697</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">15</td>
<td align="center">696</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
<tr>
<td align="center">10</td>
<td align="center">15</td>
<td align="center">696</td>
<td align="center">(200V&#x2013;1000 V)/600 V @380 Vac/400</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3-6-2">
<title>3.3.6.2 PV String Short circuit current test and other parameters</title>
<p>The maximum value of current in a PV string is called short circuit current (I<sub>SC</sub>), which flows when the positive and negative terminals are shorted together. The I<sub>SC</sub> value is employed to calculate/determine maximum current that a PV module produces when it is connected to an inverter or solar charge controller. It is extremely difficult to determine the correct current rating since current output fluctuates every second as the intensity of the sun (irradiance) on the PV panel varies. No reverse polarity was detected, and each string&#x2019;s earthing continuity was apparent enough to function without difficulty. However short circuit current drop in most of the strings in the different inverters is over 5%. The current drop was probably due to low sunlight during the test time, and the shadow of the surrounding objects was also coming on the different strings. Test results of randomly selected one string of each inverter are shown in <xref ref-type="table" rid="T8">Table 8</xref>. It can be seen from the table that the short-circuit currents of the selected strings of inverters 1, 2, 3, and 4 are 9.99A, 10.0A, 9.81A, and 10.27A, respectively. The measured fill factor of inverters 1, 2 3, and 4 are 81.37%, 82.34%, 81.40%, and 81.91%, respectively.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Short circuit current test and other parameters for a selected string of all inverters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Inverter</th>
<th colspan="3" align="center">Short-circuit current test and other parameters</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left"/>
<td align="left"/>
<td align="center">Measured</td>
<td align="center">STC Actual</td>
</tr>
<tr>
<td rowspan="11" align="center">1</td>
<td align="center">Voc</td>
<td align="center">767</td>
<td align="center">768.34</td>
</tr>
<tr>
<td align="center">Isc</td>
<td align="center">9.99</td>
<td align="center">11.02</td>
</tr>
<tr>
<td align="center">Vmp</td>
<td align="center">613</td>
<td align="center">621.91</td>
</tr>
<tr>
<td align="center">Imp</td>
<td align="center">10.1</td>
<td align="center">11.08</td>
</tr>
<tr>
<td align="center">Pmp</td>
<td align="center">6,156</td>
<td align="center">6892.06</td>
</tr>
<tr>
<td colspan="2" align="left">Other Parameters</td>
<td align="center">Measured Value</td>
</tr>
<tr>
<td colspan="2" align="left">Irradiance</td>
<td align="center">927.1 W/m<sup>2</sup>
</td>
</tr>
<tr>
<td colspan="2" align="left">Cell Temperature</td>
<td align="center">50.62&#xb0;C</td>
</tr>
<tr>
<td colspan="2" align="left">Ambient Temperature</td>
<td align="center">34.45&#xb0;C</td>
</tr>
<tr>
<td colspan="2" align="left">Fill Factor</td>
<td align="center">81.37%</td>
</tr>
<tr>
<td colspan="2" align="left">Irradiance Change</td>
<td align="center">0.19%</td>
</tr>
<tr>
<td rowspan="12" align="center">2</td>
<td align="left"/>
<td align="center">Measured</td>
<td align="center">STC Actual</td>
</tr>
<tr>
<td align="center">Voc</td>
<td align="center">803</td>
<td align="center">813.88</td>
</tr>
<tr>
<td align="center">Isc</td>
<td align="center">10</td>
<td align="center">11.08</td>
</tr>
<tr>
<td align="center">Vmp</td>
<td align="center">650</td>
<td align="center">685.52</td>
</tr>
<tr>
<td align="center">Imp</td>
<td align="center">10.2</td>
<td align="center">11.3</td>
</tr>
<tr>
<td align="center">Pmp</td>
<td align="center">6,641</td>
<td align="center">7443.85</td>
</tr>
<tr>
<td colspan="2" align="left">Other Parameters</td>
<td align="center">Measured Value</td>
</tr>
<tr>
<td colspan="2" align="left">Irradiance</td>
<td align="center">928.2 W/m<sup>2</sup>
</td>
</tr>
<tr>
<td colspan="2" align="left">Cell Temperature</td>
<td align="center">51.57&#xb0;C</td>
</tr>
<tr>
<td colspan="2" align="left">Ambient Temperature</td>
<td align="center">34.31&#xb0;C</td>
</tr>
<tr>
<td colspan="2" align="left">Fill Factor</td>
<td align="center">82.34%</td>
</tr>
<tr>
<td colspan="2" align="left">Irradiance Change</td>
<td align="center">0.56%</td>
</tr>
<tr>
<td rowspan="8" align="center">3</td>
<td align="left"/>
<td align="center">Measured</td>
<td align="center">STC Actual</td>
</tr>
<tr>
<td align="center">Voc</td>
<td align="center">761</td>
<td align="center">771.68</td>
</tr>
<tr>
<td align="center">Isc</td>
<td align="center">9.81</td>
<td align="center">11.06</td>
</tr>
<tr>
<td align="center">Vmp</td>
<td align="center">620.52</td>
<td align="center">629.22</td>
</tr>
<tr>
<td align="center">Imp</td>
<td align="center">10.09</td>
<td align="center">11.29</td>
</tr>
<tr>
<td align="center">Pmp</td>
<td align="center">6,258</td>
<td align="center">7105.58</td>
</tr>
<tr>
<td colspan="2" align="left">Other Parameters</td>
<td align="center">Measured Value</td>
</tr>
<tr>
<td colspan="2" align="left">Irradiance</td>
<td align="center">897.4 W/m<sup>2</sup>
</td>
</tr>
<tr>
<td rowspan="4" align="center"/>
<td colspan="2" align="left">Cell Temperature</td>
<td align="center">53.32&#xb0;C</td>
</tr>
<tr>
<td colspan="2" align="left">Ambient Temperature</td>
<td align="center">36.64&#xb0;C</td>
</tr>
<tr>
<td colspan="2" align="left">Fill Factor</td>
<td align="center">81.4%</td>
</tr>
<tr>
<td colspan="2" align="left">Irradiance Change</td>
<td align="center">0.91%</td>
</tr>
<tr>
<td rowspan="12" align="center">4</td>
<td align="left"/>
<td align="center">Measured</td>
<td align="center">STC Actual</td>
</tr>
<tr>
<td align="center">Voc</td>
<td align="center">805</td>
<td align="center">814.49</td>
</tr>
<tr>
<td align="center">Isc</td>
<td align="center">10.27</td>
<td align="center">11.04</td>
</tr>
<tr>
<td align="center">Vmp</td>
<td align="center">646.8</td>
<td align="center">654.2</td>
</tr>
<tr>
<td align="center">Imp</td>
<td align="center">10.47</td>
<td align="center">11.25</td>
</tr>
<tr>
<td align="center">Pmp</td>
<td align="center">6770.5</td>
<td align="center">7362.02</td>
</tr>
<tr>
<td colspan="2" align="left">Other Parameters</td>
<td align="center">Measured Value</td>
</tr>
<tr>
<td colspan="2" align="left">Irradiance</td>
<td align="center">922 W/m<sup>2</sup>
</td>
</tr>
<tr>
<td colspan="2" align="left">Cell Temperature</td>
<td align="center">50.67&#xb0;C</td>
</tr>
<tr>
<td colspan="2" align="left">Ambient Temperature</td>
<td align="center">33.36&#xb0;C</td>
</tr>
<tr>
<td colspan="2" align="left">Fill Factor</td>
<td align="center">81.91%</td>
</tr>
<tr>
<td colspan="2" align="left">Irradiance Change</td>
<td align="center">0.13%</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3-6-3">
<title>3.3.6.3 Inverter efficiency test</title>
<p>The ratio of final output generated AC power to input DC power is known as inverter efficiency. Power level, input voltage, and inverter temperature all have an impact on inverter efficiency. At the inverter terminals, the input DC power and output AC power are simultaneously measured to determine efficiency in the field. The input and output power was measured at the inverter terminal and the efficiency of inverter 1 is calculated to be 98.83%, inverter 2 is calculated to be 98.76%, inverter 3 calculated to be 98.80%, and inverter 4 is calculated to be 98.81%. All inverters passed the inverter efficiency tests because their efficiency values were within the range of the rated inverter efficiency (98.7%). Other tests like the AC input connection test, DC input connection test, and communication connection test were conducted results are in the satisfactory range.</p>
</sec>
<sec id="s3-3-6-4">
<title>3.3.6.4 Earth resistance and insulation test of DC and AC power cables</title>
<p>Megger is used for earth resistance and insulation tests of DC cables (positive to negative and negative to ground &#x26; positive to ground) and AC cables or power cables (Red &#x2b; Ground, Yellow &#x2b; Ground, Blue &#x2b; Ground, Red &#x2b; Neutral, Blue &#x2b; Neutral and yellow &#x2b; Neutral).</p>
<p>It has ensured that all wire sequences have good insulation and high resistance among each other and there is not any major breakage in insulation during installation which may cause short circuit faults later on. The values of the earth resistance test of DC cables (string cables) are given in <xref ref-type="table" rid="T9">Table 9</xref> and the Insulation test of DC cables (string cables) is given in <xref ref-type="table" rid="T10">Table 10</xref>. The value of resistance of DC cables (positive to negative and negative to ground &#x26; positive to ground) varies between 1.6 G&#x2126; and 1.9 G&#x2126; for all strings. These values show that there is high resistance among each other. The insulation of DC cables is the same for all strings and has a very high value (11 G&#x2126;).</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Earth resistance test of DC cables (string cables).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Inverter</th>
<th rowspan="2" align="center">String No</th>
<th align="center">Positive to negative (Red &#x2b; Black)</th>
<th align="center">Positive &#x2b; ground</th>
<th align="center">Negative &#x2b; ground</th>
</tr>
<tr>
<th align="center">(G&#x2126;)</th>
<th align="center">(G&#x2126;)</th>
<th align="center">(G&#x2126;)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="8" align="center">1</td>
<td align="center">1</td>
<td align="center">1.8</td>
<td align="center">1.9</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">1.7</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">1.6</td>
<td align="center">1.8</td>
<td align="center">1.7</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">1.6</td>
<td align="center">1.9</td>
<td align="center">1.8</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">1.7</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
<td align="center">1.7</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">1.8</td>
<td align="center">1.7</td>
<td align="center">1.8</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">1.9</td>
<td align="center">1.8</td>
<td align="center">1.7</td>
</tr>
<tr>
<td rowspan="8" align="center">2</td>
<td align="center">1</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
<td align="center">1.7</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">1.8</td>
<td align="center">1.7</td>
<td align="center">1.9</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">1.9</td>
<td align="center">1.8</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">1.6</td>
<td align="center">1.7</td>
<td align="center">1.8</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">1.6</td>
<td align="center">1.8</td>
<td align="center">1.9</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">1.7</td>
<td align="center">1.7</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">1.8</td>
<td align="center">1.6</td>
<td align="center">1.8</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
<td align="center">1.7</td>
</tr>
<tr>
<td rowspan="8" align="center">3</td>
<td align="center">1</td>
<td align="center">1.7</td>
<td align="center">1.7</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">1.8</td>
<td align="center">1.6</td>
<td align="center">1.8</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">1.7</td>
<td align="center">1.8</td>
<td align="center">1.7</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
<td align="center">1.9</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">1.9</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">1.7</td>
<td align="center">1.7</td>
<td align="center">1.9</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">1.6</td>
<td align="center">1.9</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">1.7</td>
<td align="center">1.6</td>
<td align="center">1.7</td>
</tr>
<tr>
<td rowspan="5" align="center">4</td>
<td align="center">1</td>
<td align="center">1.9</td>
<td align="center">1.7</td>
<td align="center">1.8</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">1.8</td>
<td align="center">1.8</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">1.7</td>
<td align="center">1.8</td>
<td align="center">1.7</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
<td align="center">1.8</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">1.6</td>
<td align="center">1.7</td>
<td align="center">1.7</td>
</tr>
<tr>
<td rowspan="5" align="center"/>
<td align="center">6</td>
<td align="center">1.7</td>
<td align="center">1.8</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">1.9</td>
<td align="center">1.7</td>
<td align="center">1.8</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">1.7</td>
<td align="center">1.9</td>
<td align="center">1.6</td>
</tr>
<tr>
<td align="center">10</td>
<td align="center">1.8</td>
<td align="center">1.7</td>
<td align="center">1.7</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T10" position="float">
<label>TABLE 10</label>
<caption>
<p>Insulation test of DC cables (string cables).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Inverter</th>
<th rowspan="2" align="center">String No</th>
<th align="center">Insulation</th>
</tr>
<tr>
<th align="center">(G&#x2126;)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="8" align="center">1</td>
<td align="center">1</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">11</td>
</tr>
<tr>
<td rowspan="8" align="center">2</td>
<td align="center">1</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">11</td>
</tr>
<tr>
<td rowspan="8" align="center">3</td>
<td align="center">1</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">11</td>
</tr>
<tr>
<td rowspan="7" align="center">4</td>
<td align="center">1</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">11</td>
</tr>
<tr>
<td rowspan="3" align="center"/>
<td align="center">8</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">10</td>
<td align="center">11</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Earth resistance and insulation tests of AC cables for all inverters are shown in <xref ref-type="table" rid="T11">Table 11</xref>. The highest measured resistance of AC cables for inverter 1 is 3.9 G&#x2126; between Red-Ground and Yellow-Neutral. The lowest measured resistance of AC cables for inverter 1 is 2.8 G&#x2126; between Blue-Ground. The highest measured resistance of AC cables for inverter 2 is 3.8 G&#x2126;, for inverter 3 is 3.8 G&#x2126; and for inverter 4 is 3.9 G&#x2126;. The insulation of AC cables for all inverters is 11 G&#x2126;.</p>
<table-wrap id="T11" position="float">
<label>TABLE 11</label>
<caption>
<p>Earth resistance and insulation test of AC cables for all inverters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="5" align="center">AC cable 240 mm 3.5 core testing result</th>
</tr>
<tr>
<th align="center">Inverter</th>
<th align="center">Cable size</th>
<th align="center">Color Coding</th>
<th align="center">Resistance (G&#x2126;)</th>
<th align="center">Insulation (G&#x2126;)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="6" align="center">1</td>
<td rowspan="6" align="center">240 mm</td>
<td align="center">Red-Ground</td>
<td align="center">3.9</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Yellow-Ground</td>
<td align="center">3.6</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Blue-Ground</td>
<td align="center">2.8</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Red-Neutral</td>
<td align="center">2.9</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Blue-Neutral</td>
<td align="center">3.6</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Yellow-Neutral</td>
<td align="center">3.9</td>
<td align="center">11</td>
</tr>
<tr>
<td rowspan="6" align="center">2</td>
<td rowspan="6" align="center">240 mm</td>
<td align="center">Red-Ground</td>
<td align="center">3.8</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Yellow-Ground</td>
<td align="center">3.7</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Blue-Ground</td>
<td align="center">3.6</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Red-Neutral</td>
<td align="center">3.4</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Blue-Neutral</td>
<td align="center">3.7</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Yellow-Neutral</td>
<td align="center">3.6</td>
<td align="center">11</td>
</tr>
<tr>
<td rowspan="6" align="center">3</td>
<td rowspan="6" align="center">240 mm</td>
<td align="center">Red-Ground</td>
<td align="center">3.7</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Yellow-Ground</td>
<td align="center">3.8</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Blue-Ground</td>
<td align="center">3.7</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Red-Neutral</td>
<td align="center">3.6</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Blue-Neutral</td>
<td align="center">2.9</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Yellow-Neutral</td>
<td align="center">3.7</td>
<td align="center">11</td>
</tr>
<tr>
<td rowspan="6" align="center">4</td>
<td rowspan="6" align="center">240 mm</td>
<td align="center">Red-Ground</td>
<td align="center">3.9</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Yellow-Ground</td>
<td align="center">2.8</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Blue-Ground</td>
<td align="center">3.7</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Red-Neutral</td>
<td align="center">3.6</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Blue-Neutral</td>
<td align="center">3.8</td>
<td align="center">11</td>
</tr>
<tr>
<td align="center">Yellow-Neutral</td>
<td align="center">3.7</td>
<td align="center">11</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-3-6-5">
<title>3.3.6.5 Performance ratio</title>
<p>The performance ratio is a measure of the performance of the photovoltaic system, taking into consideration environmental conditions (solar irradiance, temperature, etc.). <xref ref-type="table" rid="T12">Table 12</xref> shows PR of installed PV system on 100% load. The average measured irradiation is 4.83 kWh/m<sup>2</sup>, the maximum daily energy generation of installed photovoltaic system (1333.676 kWh) was recorded on day 23, and its average energy generation was 1091.56 kWh. The maximum performance ratio (80.90%) was recorded on day 6 and the average daily PR of the installed system was 75.70%.</p>
<table-wrap id="T12" position="float">
<label>TABLE 12</label>
<caption>
<p>Measured performance ratio of the installed system.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Statistical time</th>
<th align="center">Installed capacity (kWp)</th>
<th align="center">Total irradiation (kWh/m<sup>2</sup>)</th>
<th align="center">Actual generation on 100% load</th>
<th align="center">System PR on 100% load (%)</th>
<th align="center">Actual scenario of site</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">01/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.764</td>
<td align="center">1089.554</td>
<td align="center">76.0168948</td>
<td align="left"/>
</tr>
<tr>
<td align="center">02/0/2023</td>
<td align="center">246.645</td>
<td align="center">3.436</td>
<td align="left"/>
<td align="left"/>
<td align="center">Transformer Faulty</td>
</tr>
<tr>
<td align="center">03/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.517</td>
<td align="center">1043.59</td>
<td align="center">76.069798</td>
<td align="left"/>
</tr>
<tr>
<td align="center">04/05/2023</td>
<td align="center">246.645</td>
<td align="center">3.808</td>
<td align="center">732.906</td>
<td align="center">77.3992363</td>
<td align="left"/>
</tr>
<tr>
<td align="center">05/05/2023</td>
<td align="center">246.645</td>
<td align="center">2.865</td>
<td align="center">540.95</td>
<td align="center">75.9307758</td>
<td align="left"/>
</tr>
<tr>
<td align="center">06/05/2023</td>
<td align="center">246.645</td>
<td align="center">1.913</td>
<td align="center">384.84</td>
<td align="center">80.9003823</td>
<td align="left"/>
</tr>
<tr>
<td align="center">07/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.558</td>
<td align="center">1044.968</td>
<td align="center">75.6083546</td>
<td align="left"/>
</tr>
<tr>
<td align="center">08/05/2023</td>
<td align="center">246.645</td>
<td align="center">1.764</td>
<td align="left"/>
<td align="left"/>
<td align="center">Transformer Faulty</td>
</tr>
<tr>
<td align="center">09/05/2023</td>
<td align="center">246.645</td>
<td align="center">6.385</td>
<td align="center">1185.844</td>
<td align="center">74.6882007</td>
<td align="left"/>
</tr>
<tr>
<td align="center">10/05/2023</td>
<td align="center">246.645</td>
<td align="center">6.159</td>
<td align="center">1148.592</td>
<td align="center">74.9964871</td>
<td align="left"/>
</tr>
<tr>
<td align="center">11/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.624</td>
<td align="center">1050.06</td>
<td align="center">75.0851653</td>
<td align="left"/>
</tr>
<tr>
<td align="center">12/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.521</td>
<td align="center">1040.728</td>
<td align="center">75.8062180</td>
<td align="left"/>
</tr>
<tr>
<td align="center">13/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.667</td>
<td align="center">1071.988</td>
<td align="center">76.0715122</td>
<td align="left"/>
</tr>
<tr>
<td align="center">14/05/2023</td>
<td align="center">246.645</td>
<td align="center">1.851</td>
<td align="left"/>
<td align="left"/>
<td align="center">System Off</td>
</tr>
<tr>
<td align="center">15/05/2023</td>
<td align="center">246.645</td>
<td align="center">1.863</td>
<td align="left"/>
<td align="left"/>
<td align="center">System Off</td>
</tr>
<tr>
<td align="center">16/05/2023</td>
<td align="center">246.645</td>
<td align="center">1.696</td>
<td align="left"/>
<td align="left"/>
<td align="center">System Off</td>
</tr>
<tr>
<td align="center">17/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.453</td>
<td align="center">1019.098</td>
<td align="center">75.1563689</td>
<td align="left"/>
</tr>
<tr>
<td align="center">18/05/2023</td>
<td align="center">246.645</td>
<td align="center">6.218</td>
<td align="center">1163.574</td>
<td align="center">75.2538336</td>
<td align="left"/>
</tr>
<tr>
<td align="center">19/05/2023</td>
<td align="center">246.645</td>
<td align="center">6.213</td>
<td align="center">1167.382</td>
<td align="center">75.5608748</td>
<td align="left"/>
</tr>
<tr>
<td align="center">20/05/2023</td>
<td align="center">246.645</td>
<td align="center">2.498</td>
<td align="center">492.388</td>
<td align="center">79.2684496</td>
<td align="left"/>
</tr>
<tr>
<td align="center">21/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.485</td>
<td align="center">1035.892</td>
<td align="center">75.9491968</td>
<td align="left"/>
</tr>
<tr>
<td align="center">22/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.014</td>
<td align="center">952.54</td>
<td align="center">76.3983942</td>
<td align="left"/>
</tr>
<tr>
<td align="center">23/05/2023</td>
<td align="center">246.645</td>
<td align="center">7.251</td>
<td align="center">1333.676</td>
<td align="center">73.9669598</td>
<td align="left"/>
</tr>
<tr>
<td align="center">24/05/2023</td>
<td align="center">246.645</td>
<td align="center">7.229</td>
<td align="center">1323.472</td>
<td align="center">73.6244174</td>
<td align="left"/>
</tr>
<tr>
<td align="center">25/05/2023</td>
<td align="center">246.645</td>
<td align="center">7.095</td>
<td align="center">1325.644</td>
<td align="center">75.1380377</td>
<td align="left"/>
</tr>
<tr>
<td align="center">26/05/2023</td>
<td align="center">246.645</td>
<td align="center">6.157</td>
<td align="center">1157.578</td>
<td align="center">75.6077734</td>
<td align="left"/>
</tr>
<tr>
<td align="center">27/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.757</td>
<td align="center">1085.98</td>
<td align="center">75.8596677</td>
<td align="left"/>
</tr>
<tr>
<td align="center">28/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.791</td>
<td align="center">1099.306</td>
<td align="center">76.3396864</td>
<td align="left"/>
</tr>
<tr>
<td align="center">29/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.854</td>
<td align="center">1110.352</td>
<td align="center">76.2769465</td>
<td align="left"/>
</tr>
<tr>
<td align="center">30/05/2023</td>
<td align="center">246.645</td>
<td align="center">5.407</td>
<td align="center">1014.912</td>
<td align="center">75.4844258</td>
<td align="left"/>
</tr>
<tr>
<td align="center">Average Values</td>
<td align="center">246.645</td>
<td align="center">4.8316667</td>
<td align="center">1091.5567</td>
<td align="center">75.7060738</td>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
</sec>
<sec id="s3-4">
<title>3.4 LCOE and payback period of PV system</title>
<p>The CAPEX of a PV system installed on the roof of a commercial shopping plaza is 160319.25$ as shown in <xref ref-type="table" rid="T13">Table 13</xref>, and the total revenue that is generated by the installed PV system is 37910.55$ considering a 0.102 $/kWh grid tariff (<xref ref-type="bibr" rid="B24">Habib et al., 2023d</xref>). The payback period of the installed photovoltaic system is 4.22 years and the levelized cost of electricity of the photovoltaic system is 0.0229 $/kWh, these are calculated using <xref ref-type="disp-formula" rid="e18">Equations 18</xref> and <xref ref-type="disp-formula" rid="e19">19</xref>. The payback period of this research is lower than that of <xref ref-type="bibr" rid="B13">Boruah and Chandel (2024)</xref> which has a payback period of 6.15 years. Similarly, LCOE is also lower than research conducted by <xref ref-type="bibr" rid="B3">Akpahou et al. (2024)</xref> with an LCOE ranging from 0.110 USD/kWh to 0.125 USD/kWh.<disp-formula id="equ1">
<mml:math id="m35">
<mml:mrow>
<mml:mtext>Payback&#x2009;period</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Photovoltaic</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mtext>system</mml:mtext>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>cost</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>CAPEX</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mtext>Total</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>annual</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>revenue</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>of</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>PV</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>system</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ2">
<mml:math id="m36">
<mml:mrow>
<mml:mtext>Payback&#x2009;period</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>160</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>319.25</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>37</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>910.55</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ3">
<mml:math id="m37">
<mml:mrow>
<mml:mtext>Payback&#x2009;period</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>4.22</mml:mn>
<mml:mtext>&#x2009;years</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ4">
<mml:math id="m38">
<mml:mrow>
<mml:mtext>LCOE</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>CAPEX</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>OPEX</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>for</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>25</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>years</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mtext>Energy</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>generations</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>in</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>25</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>years</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mfrac>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mo>$</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<table-wrap id="T13" position="float">
<label>TABLE 13</label>
<caption>
<p>CAPEX and grid tariff.</p>
</caption>
<table>
<tbody valign="top">
<tr>
<td align="left">System size</td>
<td align="center">kWp</td>
<td align="center">246.645</td>
</tr>
<tr>
<td align="left">First-year production</td>
<td align="center">kWh</td>
<td align="center">371672.1</td>
</tr>
<tr>
<td align="left">CAPEX total</td>
<td align="center">USD Fix</td>
<td align="center">160319.25</td>
</tr>
<tr>
<td align="left">Grid tariff</td>
<td align="center">USD/kWh</td>
<td align="center">0.102</td>
</tr>
<tr>
<td align="left">Annual revenue of PV system</td>
<td align="center">USD</td>
<td align="center">371672.1 &#xd7; 0.102 &#x3d; 37910.55</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>OPEX &#x3d; 1,603.19$ (at 1% CAPEX/year (assumption))</p>
<p>OPEX for 25 years &#x3d; 40,079.81$</p>
<p>The total annual production of PV systems in 25 years is 8739615.5 kWh with an energy depreciated rate of 0.88% per year as shown in <xref ref-type="fig" rid="F9">Figure 9</xref>.<disp-formula id="equ5">
<mml:math id="m39">
<mml:mrow>
<mml:mtext>LCOE</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>160</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>319.25</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>40</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>079.81</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>8</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>739</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>615.5</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ6">
<mml:math id="m40">
<mml:mrow>
<mml:mtext>LCOE</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.0229</mml:mn>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mo>$</mml:mo>
<mml:mo>/</mml:mo>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>The following section present sensitivity analyses concentrating on potential fluctuations in local energy tariffs and market costs.</p>
<sec id="s3-4-1">
<title>3.4.1 Optimistic case</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; CAPEX decreases by 15%</p>
</list-item>
</list>
</p>
<p>Photovoltaic system&#x2019;s cost (CAPEX) &#x3d; 136271.36$<list list-type="simple">
<list-item>
<p>&#x2022; Grid tariff increases by 10%</p>
</list-item>
</list>
</p>
<p>New grid tariff &#x3d; 0.1122 $/kWh</p>
<p>Annual revenue of PV system &#x3d; 371672.1 &#xd7; 0.1122 &#x3d; 41701.61 $<disp-formula id="equ7">
<mml:math id="m41">
<mml:mrow>
<mml:mtext>Payback&#x2009;period</mml:mtext>
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<mml:mrow>
<mml:mn>136</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>271.36</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>41</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>701.61</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ8">
<mml:math id="m42">
<mml:mrow>
<mml:mtext>Payback&#x2009;period</mml:mtext>
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<mml:mtext>&#x2009;years</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>OPEX &#x3d; 1362.71$ (at 1% CAPEX/year (assumption))</p>
<p>OPEX for 25 years &#x3d; 34067.84$</p>
<p>The total annual production of PV systems in 25 years is 8739615.5 kWh with an energy depreciated rate of 0.88% per year.<disp-formula id="equ9">
<mml:math id="m43">
<mml:mrow>
<mml:mtext>LCOE</mml:mtext>
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<mml:mrow>
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<mml:mo>,</mml:mo>
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<mml:mn>34</mml:mn>
<mml:mo>,</mml:mo>
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<mml:mrow>
<mml:mn>8</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>739</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>615.5</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ10">
<mml:math id="m44">
<mml:mrow>
<mml:mtext>LCOE</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.0194</mml:mn>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mo>$</mml:mo>
<mml:mo>/</mml:mo>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
</sec>
<sec id="s3-4-2">
<title>3.4.2 Pessimistic case</title>
<p>
<list list-type="simple">
<list-item>
<p>&#x2022; CAPEX increases by 15%</p>
</list-item>
</list>
<disp-formula id="equ11">
<mml:math id="m45">
<mml:mrow>
<mml:mtext>Photovoltaic&#x2009;systems&#x2009;cost&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>CAPEX</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>184367.14</mml:mn>
<mml:mo>$</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<list list-type="simple">
<list-item>
<p>&#x2022; Grid tariff decreases by 10%</p>
</list-item>
</list>
<disp-formula id="equ12">
<mml:math id="m46">
<mml:mrow>
<mml:mtext>New&#x2009;grid&#x2009;tariff</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.0918</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>$</mml:mo>
<mml:mo>/</mml:mo>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ13">
<mml:math id="m47">
<mml:mrow>
<mml:mtext>Annual&#x2009;revenue&#x2009;of&#x2009;PV&#x2009;system</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>371672.1</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>0.0918</mml:mn>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>34119.49</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>$</mml:mo>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ14">
<mml:math id="m48">
<mml:mrow>
<mml:mtext>Payback&#x2009;period</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>184</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>367.14</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>34</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>119.49</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ15">
<mml:math id="m49">
<mml:mrow>
<mml:mtext>Payback&#x2009;period</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>5.40</mml:mn>
<mml:mtext>&#x2009;years</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>OPEX &#x3d; 1843.67$ (at 1% CAPEX/year (assumption))</p>
<p>OPEX for 25 years &#x3d; 46091.78$</p>
<p>The total annual production of PV systems in 25 years is 8739615.5 kWh with an energy depreciated rate of 0.88% per year.<disp-formula id="equ16">
<mml:math id="m50">
<mml:mrow>
<mml:mtext>LCOE</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>184</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>367.14</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>46</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>091.78</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>8</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>739</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>615.5</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ17">
<mml:math id="m51">
<mml:mrow>
<mml:mtext>LCOE</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.0264</mml:mn>
<mml:mtext>&#x2002;</mml:mtext>
<mml:mo>$</mml:mo>
<mml:mo>/</mml:mo>
<mml:mtext>kWh</mml:mtext>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
</sec>
</sec>
<sec id="s3-5">
<title>3.5 Carbon dioxide saving</title>
<p>The photovoltaic system installed on the roof of the commercial shopping plaza produced 371672.1 kWh of energy annually in the first year of installation, with an average monthly electricity generation of 30972.67 kWh. By using <xref ref-type="disp-formula" rid="e20">Equation 20</xref>, the CO<sub>2</sub> in the first year is<disp-formula id="equ18">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mtext>CO</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mtext>first</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext>year</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.58</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>371</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>672.1</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ19">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mtext>CO</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mtext>first</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext>year</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
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<disp-formula id="equ20">
<mml:math id="m54">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mtext>CO</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mtext>avg</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext>monthly</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0.58</mml:mn>
<mml:mo>&#xd7;</mml:mo>
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<mml:mo>,</mml:mo>
<mml:mn>972.67</mml:mn>
</mml:mrow>
</mml:math>
</disp-formula>
<disp-formula id="equ21">
<mml:math id="m55">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mtext>CO</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mtext>avg</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext>month</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
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</p>
<p>Approximately 215569.818 metric tons of CO<sub>2</sub> were saved in the first year by considering the annual production (301554.2 kWh) of a photovoltaic system installed on the roof of the commercial shopping plaza. The average monthly electricity generation of the system is 30972.67 kWh and approximately 215569.818 metric tons of CO<sub>2</sub> were saved monthly. The total annual production of PV systems in 25 years is 8739615.5 kWh with an energy depreciated rate of 0.88% per year. Hence, a total of approximately 5068976.99 metric tons of CO<sub>2</sub> were saved by the PV system in 25 years.<disp-formula id="equ22">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mtext>CO</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
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<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
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<mml:mrow>
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</sec>
</sec>
<sec id="s4">
<title>4 Discussion and conclusion</title>
<p>Energy demand rises as a result of economic expansion and urbanization. Pakistan, a high-energy-demand nation, fills the shortfall in its energy supply by importing fossil fuels. Pakistan has to modify its energy policy to emphasize sustainable, clean, and renewable energy resources, like other developed nations. Pakistan has enormous solar potential with a 1691.9 kWh/m<sup>2</sup> annual global horizontal solar irradiance. Pakistan has currently made the transition to sustainable energy and developed new regulations for renewable energy systems, including the installation and commercialization of a rooftop photovoltaic system. Therefore, this requires detailed evaluation to determine the capabilities of the PV system and convince decision-makers. To achieve this goal and calculate the appropriate rooftop area for photovoltaic modules, simulations are carried out using HelioScope software.</p>
<p>The objective of this research is to examine the potential of a rooftop photovoltaic system for commercial buildings. This research examines the effects of different design factors on the efficiency and performance of a rooftop photovoltaic system. These factors such as tilt and azimuth angles, GHI, ambient temperature, and shading from the surrounding obstacles. The summer months experience the highest levels of global horizontal irradiance. Furthermore, the maximum hourly value of the GHI is 915 W/m<sup>2</sup> in May. The GHI is measured in May at its highest level (188.8 kWh/m<sup>2</sup>) and in December at its lowest level (82.3 kWh/m<sup>2</sup>). The wind speed fluctuates between 0.3 m/s at the lowest point to 7.8 m/s at the highest point. The daily average maximum wind speed is 3.406 m/s, while the average annual wind speed is 2.133 m/s. Ambient temperatures range from 5.1&#xb0;C to 47.6&#xb0;C, while average annual ambient temperature is 28.49&#xb0;C. The maximum hourly operating temperature (&#xb0;C) of photovoltaic module is 67.83&#xb0;C in April, while the minimum hourly operating temperature is 1.22&#xb0;C in January. Additionally, average daily maximum operating temperature of a photovoltaic module is 59.70&#xb0;C, the average daily minimum operating temperature of a solar (PV) module is 4.47&#xb0;C and the average annual operating temperature of a solar (PV) module is 34.85&#xb0;C.</p>
<p>The commercial shopping plaza has a flat roof and two buildings. The photovoltaic module is tilted to capture the most intense solar irradiation. An optimal row-to-row distance is calculated with the aim of maximizing energy yield. By simulation analysis, it is found that a photovoltaic system installed with 5 feet Inter-row spacing is more efficient. With 5 feet inter-row spacing, the results of simulation indicate that annually energy generation of PV system is 371.6 MWh, specific yield (kWh/kWp) is 1508.0, performance ratio is 82.1%, solar access is 98.9% and TSRF is 96.3%. The maximum daily DC inverter input power is 194614.7417 W, and the average daily DC inverter input power is 158881.5110 W. The maximum daily AC inverter output power is 186698.6914 W, whereas the average daily AC inverter output power is 152231.6311 W. The output power (AC) is barely less than the input power from PV arrays, showing an inverter efficiency of approximately 95.93%.</p>
<p>According to the simulation results, the total irradiance (kWh/m<sup>2</sup>) on the collector is 1724.9 kWh/m<sup>2</sup>. The annual nameplate energy of the system is 425017.6 kWh, the output energy at irradiance levels is 423121.8 kWh, the optimal DC output is 378460.5 kWh, the energy at inverter output is 373539.7, whereas the total amount of energy that is fed into the national power grid is 371672.1 kWh. The annual production of roof-mounted PV system installed on a commercial shopping plaza in the first year is 371672.1 kWh, in the second year, the annual production is 369760.1 kWh, while in the twenty-fifth year, the annual production is 328329.1 kWh and total annual production of PV system in 25 years is 8739615.5 kWh. This means that the installed photovoltaic system depreciates energy at a rate of 0.88% per year and falls in the standard warranty rate of 0.8% per year. In the designed system installed on a commercial shopping plaza, the system has 7.2% temperature losses, 3.3% mismatch losses, 0.40% wiring losses, 0.0% clipping losses, 0.5% AC system losses, 1.3% inverters losses, 3.1% reflection losses, 1.1% shading losses, 2.0% soiling losses and 0.41% irradiance losses.</p>
<p>After the Simulation study, detailed testing was performed at the site before commissioning to make sure that the equipment&#x2019;s performance guarantees were met, properly installed, correctly adjusted, and suitable for commercial operations. Test results of installed photovoltaic system were taken for 30 days to evaluate and investigate the output generated energy (kWh) and performance of the photovoltaic (PV) system. We analyzed the experimental system in May because simulation results indicated that photovoltaic system produced the most energy during that month. The daily maximum output energy generation of installed PV system (1333.676 kWh) was recorded on day 23, and its average energy generation was 1091.56 kWh. Due to a faulty transformer on days 2 and 8, energy production is zero. The system is shut down for diagnostic tests from day 14 to day 16. By PV string open circuit voltage test, the maximum V<sub>OC</sub> for inverter 1 is 835 V, inverter 2 is 834 V, inverter 3 is 835 V and inverter 4 is 698 V. Similarly, maximum V<sub>OC</sub> for a string consisting of 18 PV modules is 835 V, V<sub>OC</sub> for string consist of 17 PV modules is 789 V and V<sub>OC</sub> for string consist of 15 PV modules is 698 V. It is found that voltages of all strings are within the rated range. PV String Isc Current Test shows that no reverse Polarity was detected, and each string&#x2019;s earthing continuity was apparent enough to function without difficulty. The short circuit currents of the selected strings of inverters 1, 2, 3, and 4 are 9.99A, 10.0A, 9.81A, and 10.27A, respectively. The measured fill factor of inverters 1, 2 3, and 4 are 81.37%, 82.34%, 81.40%, and 81.91%, respectively.</p>
<p>To perform the inverter efficiency test, the input and output power was measured at the inverter terminal. The efficiency of inverter 1 is calculated to be 98.83%, inverter 2 is calculated to be 98.76%, inverter 3 is calculated to be 98.80%, and inverter 4 is calculated to be 98.81%. All inverters passed the inverter efficiency tests because their efficiency values are within the range of the rated inverter efficiency (98.7%). Megger is used for earth resistance and insulation tests of DC cables (Positive to Negative and negative to ground &#x26; positive to ground) and AC cables. The value of resistance of DC cables (positive to negative and negative to ground &#x26; positive to ground) varies between 1.6 G&#x2126; and 1.9 G&#x2126; for all strings. These values show that there is high resistance among each other. The insulation of DC cables is the same for all string and have a very high value (11 G&#x2126;). The highest measured resistance of AC cables for inverter 1 is 3.9 G&#x2126; between Red-Ground and Yellow-Neutral. The lowest measured resistance of AC cables for inverter 1 is 2.8 G&#x2126; between Blue-Ground. The highest measured resistance of AC cables for inverter 2 is 3.8 G&#x2126;, for inverter 3 is 3.8 G&#x2126; and for inverter 4 is 3.9 G&#x2126;. The insulation of AC cables for all inverters is 11 G&#x2126;. All wire sequences have good insulation and high resistance among each other and there is not any major breakage in insulation during installation which may cause short circuit faults later on. The maximum performance ratio (80.90%) was recorded on day 6 and the average daily PR of the installed photovoltaic system was 75.70%. The installed PV system operates more efficiently because it has a high-performance ratio. The payback period of a solar (PV) system is 4.22 years and the LCOE of the photovoltaic system is 0.0229 $/kWh. The PV system saved 215569.818 metric tons of CO<sub>2</sub> in the first year and a total of approximately 5068976.99 metric tons in 25 years.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>SH: Writing&#x2013;original draft. MT: Writing&#x2013;original draft. MG: Writing&#x2013;review and editing. SC: Writing&#x2013;review and editing. HA: Writing&#x2013;review and editing. MA: Writing&#x2013;review and editing. MK: Writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. The author MA would like to acknowledge the support by the Deanship of Scientific Research through King Khalid University, Saudi Arabia funded by the Large Group Research Project RGP2/392/45.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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