Table Of Contents 1. INTRODUCTION ....................................................................................................... 3 2. LITERATURE REVIEW ................................................................................................ 4 2.1 Introduction to Solar Energy and Photovoltaics ...................................................... 4 2.2 Solar Cell Technologies ........................................................................................ 5 2.3 Modeling and Simulation of Solar Cells .................................................................. 6 2.4 Effect of Environmental Factors on Solar Cell Performance ..................................... 6 2.5 Recent Advances in Solar Cell Technology ............................................................. 7 2.6 Challenges and Future Directions ......................................................................... 8 2.7 Key Parameters in Solar Cell Modeling ................................................................... 9 3. DESIGN METHODOLOGY ........................................................................................ 10 3.1 Data Collection .................................................................................................. 11 3.1.1 Selection of Solar Module Datasheets ........................................................... 11 3.1.2 Data Extraction .......................................................................................... 11 3.2 Model Building ................................................................................................... 12 3.3 Simulation Results Analysis: ............................................................................... 13 3.4 Theoretical Calculations..................................................................................... 14 4. RESULTS AND DISCUSSION ................................................................................... 16 4.1 Designing of Solar Model .................................................................................... 16 4.1.1 Comparison of Datasheet ............................................................................ 16 4.1.2 Simulink Modelling....................................................................................... 17 4.1.3 Analyzing Characteristics of IV and PV curve at STC ....................................... 19 4.1.4 Analyzing Efficiency Through Simulation ........................................................ 22 4.2 Analyzing the Effects of Irradiance, Temperature, RS and RSh ............................... 23 4.2.1 Effects of Irradiance ..................................................................................... 23 4.2.2 Effects of Temperature ................................................................................. 26 4.2.3 Effects of Series Resistance ......................................................................... 29 4.2.4 Effects of Shunt Resistance .......................................................................... 31 4.3 Ongoing Research and Future Directions ............................................................. 34 5. CONCLUSION ........................................................................................................ 35 6. REFERENCE ........................................................................................................... 36 APPENDIX.................................................................................................................. 37 Jinko Solar Cheetah HC 72M - JKM400M – Datasheet ................................................. 38 Trina Solar TSM-400-DEG15M(II) Datasheet ............................................................ 38 List of Table Table 1 Comparison of values needed for simulation between Jinko Solar Cheetah HC 72M - JKM400M and Trina Solar TSM-400-DEG15M(II) ........................................................... 16 Table 2 Comparison between Data Sheet values and Simulation values ......................... 22 Table 3 Calculated Parameters under STC .................................................................... 23 Table 4 Calculated Is, Iph And I under Varying Irradiance ............................................... 25 Table 5 Calculated Efficiency under Varying Irradiance .................................................. 25 Table 6 Calculated Is, Iph And I under Varying Temperature ........................................... 28 Table 7 Calculated Efficiency under Varying Temperature .............................................. 28 Table 8 Calculated Is, Iph And I under Varying Series Resistance .................................... 30 Table 9 Calculated Is, Iph And I under Varying Shunt Resistance .................................... 33 Table 10 Calculated Efficiency under Varying Shunt Resistance ..................................... 34 1. INTRODUCTION Grid-connected solar photovoltaic (PV) systems represent a pivotal advancement in renewable energy technology, harnessing the abundant and inexhaustible power of sunlight to generate electricity. Using solar panels, these systems capture solar radiation and convert it into usable electrical energy. Crucially, these systems are integrated with the existing utility grid infrastructure, allowing individuals, communities, and businesses to both consume and contribute electricity to the grid. One of the key advantages of grid-connected solar PV systems is their versatility and scalability. They can be installed on rooftops, open land, or even integrated into building facades, making them suitable for a wide range of environments and applications. This flexibility empowers homeowners, businesses, and entire communities to take control of their energy production and consumption, reducing reliance on centralized power generation and distribution. Moreover, the ability to sell excess electricity back to the grid through net metering or feed-in tariffs incentivizes investment in solar PV systems. This not only provides financial benefits to system owners but also helps stabilize the grid by balancing supply and demand. In addition to economic advantages, grid-connected solar PV systems play a crucial role in mitigating climate change and reducing carbon emissions. By displacing electricity generated from fossil fuels, these systems contribute to a cleaner and more sustainable energy future. This is especially crucial in areas where coal, oil, or natural gas are the primary energy sources for the grid, as solar photovoltaics (PV) provide a greener option that can drastically lower greenhouse gas emissions and air pollution. Furthermore, the environmental benefits of solar energy extend beyond emissions reduction. Solar PV systems operate silently and produce no harmful pollutants during operation, minimizing their impact on local ecosystems and public health. Another compelling aspect of grid-connected solar PV systems is their reliability and resilience. Unlike traditional centralized power plants, which are vulnerable to disruptions such as equipment failures, natural disasters, or fuel supply interruptions, distributed solar PV installations are decentralized and distributed across multiple sites. This enhances energy security and resilience, as power generation is less susceptible to single points of failure. The longevity of solar PV technology is also noteworthy. With proper maintenance, solar panels can reliably produce electricity for 25 years or more, providing a stable and enduring source of energy over their lifespan. In conclusion, grid-connected solar photovoltaic systems represent a transformative solution to the dual challenges of energy sustainability and climate change. By harnessing the power of the sun, these systems offer a clean, reliable, and economically viable alternative to fossil fuels, paving the way towards a more sustainable and resilient energy future. This assignment’s goal is to develop and design a solar PV system that is connected to the grid. The primary focus of this paper will be on the essential design considerations and implementation strategies that need to be made to ensure that the system integrates well with the current electricity infrastructure. One of the main objectives of this paper is to provide a comprehensive understanding of the benefits and challenges associated with establishing grid-connected solar PV systems. 2. LITERATURE REVIEW 2.1 Introduction to Solar Energy and Photovoltaics Solar energy, harnessed from the sun's rays, stands as a pivotal, inexhaustible source of power that has significantly shaped the landscape of renewable energy. Central to tapping this vast, clean energy reservoir are photovoltaic (PV) systems, which convert sunlight directly into electricity through the use of semiconductor materials. This technology not only offers a sustainable alternative to fossil fuels but also plays a crucial role in mitigating climate change, reducing carbon footprints, and promoting energy independence. PV systems, ranging from small, rooftop installations to large, utility-scale solar farms, have become increasingly efficient and costeffective, making solar energy a cornerstone in the global transition towards a greener, more sustainable energy future. Their widespread adoption underscores the growing recognition of solar power's potential to meet the world's energy demands while preserving the environment for future generations. 2.2 Solar Cell Technologies For an in-depth exploration of solar cell technologies, the key distinctions between monocrystalline, polycrystalline, and thin-film solar cells lie in their efficiency, cost, and application suitability. Monocrystalline panels, known for their high efficiency (17% to 22%) and longevity, are considered premium due to their single-crystal silicon composition, making them ideal for limited space applications. However, they are also the most expensive among the solar panel types due to their complex manufacturing process Polycrystalline solar cells, characterized by their blue hue and slightly lower efficiency (15% to 17%), offer a more budget-friendly option. They are made from multiple silicon crystals, which slightly reduces their efficiency compared to monocrystalline cells. Despite this, they represent a balanced choice between performance and affordability for residential and commercial uses [1]. Thin-film solar cells stand out for their flexibility and lower cost, achieved through a simple deposition process of photovoltaic material on a substrate. This technology includes several types such as amorphous silicon, cadmium telluride (CdTe), and copper indium gallium selenide (CIGS). Despite their lower efficiency (generally in the 10–13% range for commercially available products), thin-film cells excel in low-light conditions and can be applied to diverse surfaces, including clothing. They are, however, less durable and require more space to generate comparable power, making them less suitable for residential applications. Each solar cell technology serves different needs based on efficiency, cost, and application. Monocrystalline cells offer high efficiency and aesthetics at a higher cost, making them suitable for areas with limited space. Polycrystalline cells are a middle ground, offering a balance of cost and efficiency. Thin-film technology, while offering the lowest costs and unique applications due to its flexibility, presents limitations in efficiency and durability, making it ideal for specific niche applications rather than mainstream residential use. 2.3 Modeling and Simulation of Solar Cells The role of modeling and simulation in the development of solar cells is indispensable, serving as a cornerstone in the design, analysis, and optimization of these renewable energy sources. Through sophisticated computational models, researchers and engineers can predict the behavior of solar cells under various environmental conditions, identify potential inefficiencies, and explore new materials and configurations without the need for costly and time-consuming physical prototypes. Key methodologies in this domain include numerical simulations that solve the equations governing the photovoltaic effect, finite element analysis for structural and thermal aspects, and ray tracing for optical performance. Among the plethora of software tools available for this purpose, MATLAB-Simulink stands out as a particularly powerful platform. It offers a versatile environment for simulating the electrical, thermal, and optical characteristics of solar cells. With its extensive library of predefined blocks and the ability to create custom functions, MATLAB-Simulink enables detailed modeling of solar cell behavior, including the effects of temperature, irradiance, and material properties on efficiency. This capacity for detailed and accurate simulation makes MATLAB-Simulink an invaluable tool in the iterative process of solar cell design and optimization, allowing for the rapid testing of hypotheses and refinement of designs to push the boundaries of solar cell efficiency and reliability. Through these simulations, advancements in technology are accelerated, paving the way for more efficient and cost-effective solar energy solutions. 2.4 Effect of Environmental Factors on Solar Cell Performance Environmental factors play a crucial role in determining the performance and efficiency of solar cells, impacting their current-voltage (I-V) and power-voltage (P-V) characteristics significantly. Studies in this realm have methodically explored how variables such as irradiance, temperature, and shading affect solar energy conversion. Irradiance levels directly influence the amount of electrical power a solar cell can generate; higher irradiance increases the photovoltaic output, enhancing the I-V curve's slope and consequently raising the maximum power point on the P-V curve. Temperature variations, conversely, have a nuanced effect: as temperature rises, the semiconductor material's efficiency decreases, leading to a reduction in the open-circuit voltage (Voc) and a slight increase in the short-circuit current (Isc). This thermal effect can cause a notable dip in overall efficiency, underscoring the need for thermal management in solar panel installations. Shading, even partial, introduces another layer of complexity, significantly distorting I-V and P-V characteristics [2]. It leads to a reduction in the output power due to the non-linear decrease in the illuminated cell's performance, which can also induce hot spots, potentially damaging the solar cells. These studies underscore the importance of considering environmental conditions in the design and placement of photovoltaic systems to optimize performance. For instance, strategic positioning to minimize shading, using materials with lower temperature coefficients, and implementing maximum power point tracking (MPPT) technologies are critical to mitigating the adverse effects of these environmental factors. Understanding the intricate relationship between environmental conditions and solar cell performance is essential for maximizing efficiency and reliability in solar energy systems. 2.5 Recent Advances in Solar Cell Technology Recent advancements in solar cell technology herald a promising future for solar energy generation, pushing the boundaries of efficiency and application. Tandem solar cells, which layer multiple types of solar cells on top of each other to capture a broader range of the solar spectrum, have shown significant potential in surpassing the efficiency limits of traditional single-junction cells. By combining materials with different bandgaps, tandem cells can achieve efficiencies previously deemed unattainable, making solar power even more competitive with conventional energy sources. Perovskite solar cells have emerged as a groundbreaking development due to their remarkable efficiency gains and lower production costs. These cells utilize perovskite-structured materials that are capable of achieving high efficiency levels comparable to, and in some cases surpassing, those of silicon-based solar cells. The versatility and ease of manufacturing of perovskite solar cells offer a pathway to rapid deployment and scaling, potentially transforming solar energy's role in the global energy mix [3]. Bifacial solar cells, which can absorb light from both the front and back sides, offer another avenue for efficiency improvement. By harnessing sunlight reflected off the ground or surrounding surfaces, bifacial cells can generate more electricity than traditional monoracial cells, especially in conditions with high albedo surfaces or on dual-axis trackers. This technology enhances the energy yield of photovoltaic installations, making solar power systems more cost-effective over their lifespan. Together, these innovations represent a leap forward in solar cell technology, promising to significantly increase efficiency and reduce the cost of solar energy. As these technologies continue to mature and enter the market, they will play a pivotal role in accelerating the adoption of solar energy and its integration into the global energy system, moving us closer to a sustainable and clean energy future. 2.6 Challenges and Future Directions The solar energy industry, while on a trajectory of rapid growth and technological innovation, faces several critical challenges that must be addressed to realize its full potential. One of the primary hurdles is the continuous improvement of solar cell efficiency. Despite significant advancements, there's a pressing need to surpass current efficiency ceilings to make solar power even more competitive with fossil fuels. Research in emerging technologies such as tandem solar cells and new materials like perovskites offers promising avenues to break through these limits. Cost reduction remains a pivotal challenge, not just in terms of the initial manufacturing and installation but also in the operational and maintenance phases. Innovations in materials science, manufacturing processes, and scalable production methods are essential to driving down costs. Additionally, developing more durable and longer-lasting solar panels would reduce the lifecycle costs of solar installations, making solar energy more accessible and appealing to a broader range of users [4]. Grid integration presents another complex challenge, as the intermittent nature of solar power requires advancements in energy storage and grid management technologies to ensure reliability and stability. Future research directions include the development of high-capacity, cost-effective energy storage solutions and smart grid technologies that can dynamically balance supply and demand. Implementing such technologies would facilitate the integration of solar energy into the existing energy infrastructure, enabling a higher penetration of renewable sources in the energy mix. 2.7 Key Parameters in Solar Cell Modeling In solar cell modeling, several key parameters are crucial for accurately predicting and analyzing the performance of solar cells. These parameters include the open-circuit voltage (Voc), short-circuit current (Isc), fill factor (FF), and efficiency (η). Voc represents the maximum voltage a solar cell can produce when not connected to an external circuit or load, and it is directly influenced by the material properties and the temperature of the cell. Isc is the maximum current delivered by the solar cell when its terminals are shorted, with its value being highly dependent on the intensity of the incident light and the cell's surface area. The fill factor, another vital parameter, is a measure of the solar cell's quality, indicating the maximum obtainable power divided by the product of Voc and Isc. It is affected by the cell's internal resistance and provides insight into the efficiency of the cell at converting sunlight into electricity. Efficiency (η) is the most critical parameter, representing the ratio of electrical power output to solar power input, and it summarizes the overall performance of the solar cell. Together, these parameters are essential for designing, optimizing, and comparing solar cells. By understanding and manipulating these variables, researchers and engineers can improve solar cell technologies, making them more efficient and suitable for a wider range of applications. Advanced modeling techniques, often using software like MATLAB-Simulink, enable the simulation of these parameters under different conditions, providing valuable insights into the behavior and potential performance improvements of solar cells. In conclusion, the development and optimization of solar cell technologies are at a pivotal juncture, driven by the crucial role of modeling and simulation. These computational tools enable the prediction and analysis of solar cell performance under varied environmental conditions, facilitating the exploration of new materials and configurations without the extensive cost and time associated with physical prototypes. Software platforms like MATLAB-Simulink have emerged as instrumental in simulating the electrical, thermal, and optical characteristics of solar cells, thereby accelerating the innovation process. Environmental factors, including irradiance, temperature, and shading, significantly influence solar cell performance, affecting key parameters such as the open-circuit voltage, short-circuit current, fill factor, and overall efficiency. Addressing these influences through strategic design and placement of photovoltaic systems is essential for optimizing performance and reliability. Recent technological advancements, including tandem, perovskite, and bifacial solar cells, represent significant strides towards overcoming the efficiency and cost barriers associated with traditional solar technologies. These innovations promise to enhance the competitiveness of solar energy, potentially transforming its role in the global energy mix. However, the industry faces challenges in efficiency improvement, cost reduction, and grid integration. Addressing these challenges requires a multidisciplinary approach, emphasizing the need for ongoing research in materials science, manufacturing processes, and energy storage solutions. Moreover, the integration of solar energy into the existing grid infrastructure highlights the importance of developing smart grid technologies and advanced energy storage solutions to manage the intermittent nature of solar power. The key parameters involved in solar cell modeling underscore the complexity of optimizing solar cell design. Understanding and manipulating these variables is crucial for advancing solar cell technologies, making them more efficient and suitable for a wide range of applications. As the solar energy industry continues to evolve, the focus on innovation, coupled with the strategic addressing of existing challenges, will be paramount in shaping a sustainable and clean energy future. 3. DESIGN METHODOLOGY The process of designing solar cells follows a structured method to meet specific needs and achieve optimal performance. Initially, the requirements of the application, such as power output and efficiency, are analyzed to select the most suitable solar cell technology based on factors like cost and scalability. Then, the physical design of the solar cell is determined, including the selection of semiconductor materials and surface modifications to enhance light absorption. Electrical characteristics such as open-circuit voltage and efficiency are evaluated to ensure effectiveness. The solar cells are then integrated into photovoltaic modules, considering factors like size and packaging. Continuous optimization processes refine the design and materials used. Reliability assessments ensure the solar cells can withstand various conditions, while cost and environmental impact analyses consider economic and sustainability factors. By following this method, designers can create solar cells that meet performance and cost requirements for different applications. 3.1 Data Collection 3.1.1 Selection of Solar Module Datasheets Two datasheets from distinct solar module manufacturers, namely Jinko Solar and Trina Solar, were chosen for comparison. The decision to compare Jinko Solar and Trina Solar stemmed from their esteemed reputation in the renewable energy industry. Jinko Solar is renowned for its production of solar modules known for their outstanding efficiency, whereas Trina Solar is acknowledged for its utilization of innovative technology and consistent performance. By selecting these two manufacturers, we aimed to leverage their expertise and market standing to inform our study effectively. The datasheets from Jinko Solar and Trina Solar served as valuable sources for making relevant comparisons, allowing us to derive insights crucial for advancing our research in the field of solar energy. 3.1.2 Data Extraction For each datasheet of Trina Solar and Jinko Solar, a meticulous extraction process was undertaken to gather the necessary parameters for comparison. These parameters, including the open-circuit voltage (VOC), short-circuit current (ISC), cell area, efficiency, temperature coefficients, maximum power voltage (VMPP), and maximum power current (IMPP), were systematically collected to ensure a comprehensive analysis and comparison. This rigorous extraction method ensured the accurate acquisition of all relevant data points required for the study from both sources. In conducting the comparison between Trina Solar and Jinko Solar, a thorough analysis was conducted across various parameters extracted from their respective datasheets. Firstly, the opencircuit voltage (VOC) and short-circuit current (ISC) values were scrutinized. Higher values of VOC and ISC typically indicate better power generation potential, reflecting the modules' efficiency in converting sunlight into electricity. Additionally, the examination of cell area specifications provided insights into how the physical dimensions of the modules influence their performance. Larger cell areas often correlate with higher efficiency and power output, thus contributing to the comparison. Furthermore, the efficiency values outlined in the datasheets were meticulously scrutinized. Efficiency serves as a key indicator of how effectively the module converts sunlight into electricity, with higher efficiency modules being preferred for their ability to produce more power for a given area. The temperature coefficients of VOC and ISC were also compared for both manufacturers. Lower temperature coefficients suggest better stability in performance over a range of temperatures, thereby aiding in the assessment of each module's efficiency under varying temperature conditions. Ultimately, based on the comparison results, the optimal choice between Trina Solar and Jinko Solar was determined. Factors such as performance, efficiency, cost, reliability, warranty, and compatibility with project requirements and location were carefully considered to make an informed decision on which solar module best suited the project's objectives. By systematically evaluating these parameters, a comprehensive comparison was conducted, enabling the selection of the most suitable solar module for the project's needs. 3.2 Model Building To select the design for replicating the electrical properties of a high-efficiency solar cell, an extensive research effort was undertaken, involving an analysis of diverse designs available online. This comprehensive review encompassed scrutinizing published research papers, technical articles, and industry-standard practices to grasp the different methodologies and approaches employed in constructing Simulink models of solar cells. Emphasis was placed on identifying designs that were well-documented, validated through either experimentation or simulation, and aligned with the specific objectives of the project, particularly focusing on high-efficiency solar cells.The process of building the circuit model of a solar cell within Simulink was executed systematically. It commenced with the inclusion of fundamental elements such as the solar cell itself, along with components like a current sensor, a voltage sensor, and a variable resistor. These components were interconnected to simulate various load conditions encountered by the solar cell. Furthermore, the analysis of the I-V and P-V traits was paramount. By adjusting the load resistor, the complete I-V and P-V characteristics of the solar cell under Standard Test Conditions (STC) were scrutinized. This examination enabled a comprehensive understanding of how the solar cell behaves under different operational scenarios. As the simulation progressed, additional components were incorporated for deeper analysis. Elements like the PS constant, representing light intensity, a temperature source for simulating temperature variations, and a shunt resistor were added. These augmentations facilitated an in-depth exploration of the effects of irradiance, temperature, and shunt resistance on the circuit. Each component integrated into the Simulink model served a distinct purpose. The solar cell, current sensor, and voltage sensor were instrumental in capturing the electrical properties of the solar cell. The variable resistor replicated various load conditions, while the PS constant and temperature source simulated light intensity and temperature changes, respectively. The shunt resistor accounted for shunt resistance effects, contributing to a more comprehensive analysis. Through simulation with the completed model, the behavior of the solar cell under different conditions was analyzed. Results were then validated against experimental or theoretical data, providing valuable insights into the performance of the high-efficiency solar cell and elucidating how external factors influence its operation. By meticulously following this process, a comprehensive Simulink model was constructed, accurately replicating the electrical properties of a high-efficiency solar cell. This model facilitated detailed analysis under diverse conditions, enabling a deeper understanding of solar cell behavior. 3.3 Simulation Results Analysis: In the simulation process within Simulink, various parameters such as irradiance, temperature, series resistance, and shunt resistance are systematically varied to analyze their impact on the electrical characteristics of the solar cell. To detail this process, we begin with parameter variation. Irradiance, representing light intensity, is adjusted by manipulating the PS constant, allowing simulation across different sunlight exposure levels. Temperature fluctuations are simulated by adjusting the temperature source, facilitating analysis of temperature's effect on the solar cell's performance. Series resistance, reflecting internal resistance, is altered by adjusting the value of the series resistor in the circuit model to comprehend its influence on the solar cell's behavior. Similarly, shunt resistance is varied by adjusting the shunt resistor value in the circuit model to understand its effects on the solar cell's characteristics. Furthermore, a range of variation is established for each parameter. For irradiance, the PS constant is adjusted across a spectrum of light conditions, from low sunlight levels to peak intensity, providing a comprehensive analysis. Temperature variations are simulated over a relevant range, spanning from low temperatures during winter to high temperatures in summer, mirroring real- world operating conditions. Similarly, series and shunt resistances are varied across typical ranges encountered in solar cell designs and applications, ensuring a thorough exploration of their impacts. Moving on to simulated I-V and P-V curves, these represent the relationship between output current (I) and voltage (V) across the solar cell under different conditions. The P-V curves depict the relationship between output power (P) and voltage (V), aiding in the assessment of power output. From these curves, critical PV parameters are extracted. Maximum power (Pmax), opencircuit voltage (Voc), and short-circuit current (Isc) are obtained from the curves, representing key performance metrics. Additionally, maximum voltage (Vmax), maximum current (Imax), and output voltage (Vout) are derived, providing insights into the solar cell's behavior at specific operating points. By leveraging MATLAB to analyze the simulated data, valuable insights are gained into the solar cell's performance, crucial for optimizing designs and predicting real-world behavior. 3.4 Theoretical Calculations To verify the simulation results with theoretical calculations, we will utilize a series of formulas mentioned below to compute crucial parameters. These comparisons encompass a range of factors, including the reverse saturated current (Io), representing the diode's leakage current under reverse bias, calculated through the diode equation, and the photovoltaic current (Iph), which is the current generated by the solar cell due to incident light, determined using the equation describing the relationship between incident light intensity and the DC current source. Additionally, the output current, summing the photovoltaic current (Iph) and reverse saturated current (Io), and accounting for losses attributed to series resistance (Rs) and shunt resistance (Rsh), will be assessed alongside the fill factor (FF), a measure of solar cell efficiency computed as the ratio of maximum power point (Pmax) to the product of open-circuit voltage (Voc) and short-circuit current (Isc). Input power (Pin), representing the power delivered to the solar cell from incident light, will be determined as the product of incident light intensity and the cell's surface area. Finally, efficiency, gauging the solar cell's ability to convert incident light into electrical energy, will be calculated as the ratio of output power (Pout) to input power (Pin), accounting for losses due to series resistance, shunt resistance, and other factors. Through this comparative analysis, we aim to validate the simulation model's accuracy and gain insights into the impact of irradiance, temperature, shunt resistance, and series resistance variations on solar cell performance. −1 π πΌπ = [π ππππ − 1] ........................................................................................... (1) π πΌπβ = πΌπππππππππ 1000 [πΌππΆ + πΎ(π − ππππΆ )] ...................................................................(2) π πΌ = πΌπβ − πΌπ (π πππ − 1) ......................................................................................(3) π+πΌπ π+πΌπ π πΌ = πΌπβ − πΌπ [π ( ππ π − 1)] − ( π π πΉπππ πΉπππ‘ππ, πΉπΉ = ππππ₯ πππΆ πΌππΆ π β ) ................................................................(4) ................................................................................(5) πππ = π΄πππ ππ π ππππ ππππ × πΌπππππππππ πΌππ‘πππ ππ‘π¦ ..........................................(6) π= πππΆ πΌππΆ πΉπΉ πππ × 100% ......................................................................................(7) To validate the accuracy of our simulation results, we will compare them with theoretical calculations using various formulas. These formulas cover essential parameters such as the reverse saturated current (Is) and photovoltaic current (Iph), representing the diode's leakage current and solar cell's light-induced current, respectively. We will also assess the output current considering losses from series and shunt resistances, along with the fill factor (FF) reflecting solar cell efficiency. Input power (Pin) from incident light and efficiency, indicating the cell's ability to convert light into electricity, will be calculated. This analysis aims to validate our simulation model and understand how variations in irradiance, temperature, and resistance affect solar cell performance. 4. RESULTS AND DISCUSSION 4.1 Designing of Solar Model 4.1.1 Comparison of Datasheet The choice to compare Jinko Solar and Trina Solar was made since they are both well regarded manufacturers of solar panels in the renewable energy sector. Jinko Solar is well-known for producing solar modules with exceptional efficiency, while Trina Solar is acknowledged for its cutting-edge technology and dependable performance. This study aims to evaluate key performance parameters, such as open-circuit voltage (Voc), short-circuit current (Isc), maximum power (Pmax), and temperature coefficient of short-circuit current (Kisc), by comparing the solar panel specifications of two manufacturers: the Jinko Solar Cheetah HC 72M - JKM400M and the Trina Solar TSM-400-DEG15M(II) Table 1 Comparison of values needed for simulation between Jinko Solar Cheetah HC 72M JKM400M and Trina Solar TSM-400-DEG15M(II) Parameter Jinko Solar Cheetah HC 72M Trina Solar TSM-400- - JKM400M DEG15M(II) Maximum Power (Pmax) 400 W 400W Maximum Voltage (Vmax) 40.16V 40.3 Maximum Current (Imax) 9.96 A 9.92 Weight 21.6 kg 22.0 kg Cell Dimension 1979×1002×30mm 2015 × 996 × 35 mm Number of Cells 72 144 Open-Circuit Voltage (Voc) 49.1 V 49.0 V Open-Circuit Voltage (Voc) / cell 0.68 V 0.34 V Short-Circuit Current (Isc) 10.61 A 10.45 A Temperature Coefficient (Isc) 0.048 %/°C 0.04 %/°C Module Efficiency 20.17& 19.9% Ideality Factor 1.2 1.2 The Jinko Solar Cheetah HC 72M - JKM400M and the Trina Solar TSM-400-DEG15M(II) panels differ in several important aspects that can affect their appropriateness for simulation and modelling. Firstly, the Jinko Solar panel has a better module efficiency of 20.17% compared to Trina Solar's 19.9%, even if both panels have the same maximum power output of 400 W. The higher efficiency of the Jinko Solar panel signifies its ability to convert a greater proportion of sunlight into electricity, resulting in a superior overall efficiency. In addition, the Jinko Solar panel has somewhat lower values for both maximum voltage (Vmax) and current (Imax) when compared to the Trina Solar panel. Nevertheless, this discrepancy is negligible and should not have a substantial effect on performance. In addition, the Jinko Solar panel weighs 21.6 kg, which is lighter than Trina Solar's panel that weighs 22.0 kg. This can be beneficial in installations where the weight of the panel is a significant factor to consider. In addition, the Jinko Solar panel has a reduced cell dimension and a lower cell count (72) in comparison to the Trina Solar panel, which features a larger cell dimension and a higher cell count (144). The reduced cell size and lower cell count of the Jinko Solar panel may lead to a more condensed and potentially more economical panel configuration. The Jinko Solar panel has a temperature coefficient of short-circuit current (Isc) of 0.048 %/°C, which is slightly higher than Trina Solar's coefficient of 0.04 %/°C. The greater temperature coefficient of the Jinko Solar panel suggests that it is more likely to perform well in high-temperature conditions, making it advantageous in specific geographical areas. After evaluating the crucial factors and criteria for simulation and modelling, it is evident that the Jinko Solar Cheetah HC 72M - JKM400M panel is the more appropriate option. The increased module efficiency, less weight, and potentially more cost-effective design of this option make it an attractive choice for further analysis and modelling in this study. 4.1.2 Simulink Modelling A Simulink model was created to replicate the electrical properties of a high-efficiency solar cell. The model includes essential elements including a solar cell, current sensor, voltage sensor, and a variable resistor connected to mimic load situations on the solar cell. By modifying this load, we may analyze the complete I-V (Current-Voltage) and P-V (Power-Voltage) traits of the solar cell under Standard Test Conditions (STC). Furthermore, other elements like the PS constant, temperature source, and shunt resistor were included in the model in subsequent stages to analyze the impact of irradiance, temperature, and shunt resistance on the circuit. The values selected for examination under STC are displayed in Figure 4.3. Figure 4.1 Simulink Solar Model Figure 4.2 Simulink Solar Module with added Temperature sensor and Shunt Resistor Figure 4.3 Solar Cell parameters under STC condition 4.1.3 Analyzing Characteristics of IV and PV curve at STC The I-V curve derived from the simulation offers crucial insights into the performance possibilities of the solar cell. The curve at the open-circuit voltage (Voc) is the highest voltage the cell can generate when there is no current flowing. The short-circuit current (Isc) is the greatest current produced when there is no external load, meaning zero voltage. The numbers align with the datasheet, suggesting a well-parameterized model that accurately represents the inherent semiconductor characteristics of the cell. The maximum voltage (Vmax) and maximum current (Imax) values calculated from the curve differed from the values provided in the datasheet. The P-V curve, generated from the simulation data, displays the maximum power point (Pmax) as a result of the voltage and current values at this ideal operating point. The maximum power output from the simulation slightly surpassed the figure specified in the datasheet. Discrepancies in data can occur because of the idealized assumptions made during simulations, such perfect cell conditions and 0% losses, which are seldom seen in real-world situations. Table 2 displays a comparison between the results produced during simulation and the values provided in the data Sheet . Figure 4.4 Curve with points indicating (Voc), (Isc), (Imax) and (Vmax) Figure 4.5 PV Curve with points indicating (Voc), (Pmax) Figure 4.6 MATLAB coding to generate IV and PV Curve under STC Table 2 Comparison between Data Sheet values and Simulation values Parameters Open-Circuit Voltage (Voc) / cell Short-Circuit Current (Isc) Maximum Power (Pmax) Maximum Voltage (Vmax) Maximum Current (Imax) Data Sheet Values 0.68V 10.61 A 400 W 40.16V 9.96 A Simulation Values 0.68 V 10.61 427.68 W 41.76 10.12 A 4.1.4 Analyzing Efficiency Through Simulation Upon analyzing the waveform captured by the scope during the simulation, the output voltage was measured at 681.5 millivolts (mV). The output current (I) was calculated by determining the reversed saturated current (Is) and photovoltaic current (Iph) values using Equations 1, 2, and 3, which resulted in an output current value of -0.52 V. The efficiency of solar cells was determined by analyzing values such as the maximum power from the P-V curve, fill factor (FF) and input power (Pin) and implementing them into Equation 7. The simulated efficiency of 23.47% exceeded the efficiency stated in the datasheet, which was 20.17%. Various causes account for this disparity. The Simulink model functions under idealized settings, which may not consider all losses, such as those from wiring, connectors, and the inefficiencies of the real materials used in manufacture. Secondly, the figures in the datasheet are often obtained under controlled settings that may not account for local environmental variables like temperature changes and differences in sunshine spectrum, which might affect the performance of the cell. Furthermore, manufacturing procedures may result in discrepancies in material characteristics across individual cells, a factor not accounted for in a typical simulation model. The accuracy of measurements obtained when creating the datasheet may vary from the theoretical calculations and simulations conducted in the research. Although the Simulink model closely approximates the solar cell's behavior under STC, it is crucial to acknowledge the inherent limits of simulation. Discrepancies between simulation findings and datasheet values highlight the importance of confirming simulation-based predictions with actual data. Table 3 Calculated Parameters under STC Parameters Calculated π ππ£πππ ππ πππ‘π’πππ‘ππ πΆπ’πππππ‘, πΌπ (π΄) πβππ‘ππ£πππ‘πππ ππ’πππππ‘, πΌπβ (π΄) ππ’π‘ππ’π‘ ππ’πππππ‘, πΌ (π΄) πΉπππ πΉπππ‘ππ, πΉπΉ πππ (π) πΈπππππππππ¦ (%) Values Obtained 2.817 × 10−9 10.61 −0.52 0.82 7.2148 23.47 4.2 Analyzing the Effects of Irradiance, Temperature, RS and RSh 4.2.1 Effects of Irradiance 4.2.1.1 Analyzing IV and PV curve with Varying Irradiance As irradiance declines from 1000 W/m² to 200 W/m², the open-circuit voltage (Voc) slightly lowers. Voc is less affected by variations in irradiance due to its greater susceptibility to the temperature and material characteristics of the solar cell. The short-circuit current (Isc) decreases dramatically from 10.61 A to 2.12 A. The tendency is anticipated due to the direct proportionality between Isc and the incident light on the solar panel. Reduced irradiance decreases the number of photons available to create charge carriers, resulting in a decrease in the generation of electronhole pairs and subsequently lowering the photocurrent, which then reduces the short circuit current [5]. The output power of a solar cell is directly proportional to the irradiation due to the considerable decrease in Isc. This is seen in the P-V curve as a downward movement in the peak power point (Pmax). Figure 4.1 IV curve under Varying Irradiance Figure 4.2 PV curve under Varying Irradiance 4.2.1.2 Analyzing Output Current and Efficiency of Varying Irradiance The efficiency of a solar cell under varying irradiance levels shows a noticeable decrease from 23.7% at 1000 W/m² to 21.3% at 200 W/m². This trend is attributed to the nonlinear characteristics of solar cells, where the efficiency is not strictly proportional to the irradiance. At lower irradiance, while both the photocurrent (Isc) and the output power decrease, the reduction in photocurrent is more significant due to the diminished photon flux available to generate electron-hole pairs[6]. Consequently, the solar cell's ability to convert the available light into electrical energy becomes less efficient, as evidenced by the reduction in efficiency. The output current, primarily determined by the photocurrent (Isc), sees a significant decrease with the reduction in irradiance. A lower irradiance means fewer photons are available, leading to a proportional decrease in the generated photocurrent and, hence, the output current. Table 4 Calculated Is, Iph And I under Varying Irradiance πΌπππππππππ W/m2 1000 800 600 400 200 π ππ£πππ ππ πππ‘π’πππ‘ππ πΆπ’πππππ‘, πΌπ (π΄) 2.817 × 10−9 2.732 × 10−9 2.571 × 10−9 2.455 × 10−9 2.422 × 10−9 πβππ‘ππ£πππ‘πππ ππ’πππππ‘, πΌπβ (π΄) 10.61 6.78 3.81 1.69 0.42 ππ’π‘ππ’π‘ ππ’πππππ‘, πΌ (π΄) −0.52 −1.93 −2.31 −2.68 −2.80 Table 5 Calculated Efficiency under Varying Irradiance πΌπππππππππ W/m2 1000 800 600 400 200 πΉπππ πΉπππ‘ππ, πΉπΉ 0.823 0.820 0.817 0.812 0.800 πππ (π) 25.20 20.16 15.12 10.08 5.04 πΈπππππππππ¦ (%) 23.7 23.2 22.9 22.4 21.3 4.2.2 Effects of Temperature 4.2.2.1 Analyzing IV and PV curve with Varying Temperature Solar cells' IV curve and PV curve alter with temperature changes because of the semiconductor material characteristics. As the temperature rises from -25°C to 75°C, the open-circuit voltage (Voc) falls from 0.761 V to 0.591 V. The fall in Voc is caused by the narrower bandgap of the semiconductor, which lowers the energy needed for electron transition between the valence and conduction bands, resulting in a reduced Voc[7]. The Isc remains constant despite temperature fluctuations, demonstrating its resistance to thermal changes. The maximum power output decreases with rising temperature mostly because to the decrease in open-circuit voltage (Voc). As the temperature changes from -25°C to 75°C, the drop in Voc results in a decrease in Pmax from 6.48 W to 4.66 W, as Pmax is proportional to the product of Isc and Voc (Pmax ∝ Isc × Voc). This highlights the significance of temperature control in maximising solar cell performance and total efficiency. Figure 4.9 IV curve under Varying Temperature Figure 4.10 PV curve under Varying Temperature 4.2.2.2 Analyzing Efficiency and Output Current with Varying Temperature The current produced by a solar cell, mainly influenced by the photocurrent (Isc), rises as the temperature increases. Certain materials have enhanced light absorption at elevated temperatures, resulting in a greater quantity of photons being absorbed and transformed into electron-hole pairs, thereby boosting the output current. The semiconductor material's bandgap energy drops as temperature rises. Photons with lower energy (longer wavelengths) may now create electron-hole pairs, leading to more charge carriers and higher output current. Increased temperatures cause more electrons and holes in the semiconductor material to achieve sufficient thermal energy to escape their bound state, resulting in the generation of more electron-hole pairs. Some pairings do not contribute to generating electrical current; instead, they recombine, causing thermalization losses and decreased efficiency. The efficiency of a solar cell decreases significantly from 25.59% at 25°C to 18.38% at 75°C. Higher temperatures can cause an increase in thermal energy, resulting in more recombination events, which in turn decreases the efficiency of the solar cell. Increased carrier recombination at higher temperatures is one of the factors contributing to the reduced efficiency of solar cells due to thermal deterioration [8]. This process shortens the lifespan of charge carriers, leading to a reduction in the potential electrical output produced by a certain amount of incoming light. This effect may be seen in solar panels put in hot climes or exposed to direct sunshine for long durations in real-life situations. Table 6 Calculated Is, Iph And I under Varying Temperature ππππππππ‘π’ππ °C π ππ£πππ ππ πππ‘π’πππ‘ππ πΆπ’πππππ‘, πβππ‘ππ£πππ‘πππ ππ’πππππ‘, ππ’π‘ππ’π‘ ππ’πππππ‘, πΌπ (π΄) πΌπβ (π΄) πΌ (π΄) 75 3.771 × 10−8 10.61 2.55 50 9.971 × 10−9 10.61 1.93 25 2.817 × 10−9 10.61 −0.52 0 1.062 × 10−9 10.61 −3.92 −25 2.911 × 10−10 10.61 −4.89 Table 7 Calculated Efficiency under Varying Temperature ππππππππ‘π’ππ °C 75 50 25 0 −25 πΉπππ πΉπππ‘ππ, πΉπΉ 0.74 0.76 0.80 0.81 0.81 πππ (π) 25.20 25.20 25.20 25.20 25.20 πΈπππππππππ¦ (%) 18.38 20.15 23.7 23.91 25.59 4.2.3 Effects of Series Resistance 4.2.3.1 Analyzing IV and PV curve with Varying Series Resistance The presence of series resistance (Rs) in a solar cell significantly affects its performance parameters. The short-circuit current (Isc) is not significantly influenced by the series resistance (Rs) as it is determined when the external circuit resistance is zero (short-circuit situation). Thus, the internal series resistance does not have a direct impact on the measurement of Isc. The opencircuit voltage, Voc, is not directly influenced by series resistance. Nevertheless, Rs does affect the maximum power point (Pmax) of the solar cell. Increased series resistance results in higher resistive losses within the cell, particularly during maximum power point operation when the cell is generating substantial current [9]. This diminishes the voltage and power that can be harnessed from the cell under a specific degree of light, resulting in a reduction in Pmax. As resistance increases from 5mΩ to 45mΩ, the maximum power (Pmax) drops from 5.43 W to 2.34 W in this case. Figure 4.11 IV curve under Varying Series Resistance Figure 4.3 PV curve under Varying Series Resistance 4.2.3.2 Analyzing Efficiency with Varying Series Resistance Efficiency is significantly affected by Rs. High series resistance in a solar cell leads to a substantial amount of the produced current being dissipated as heat within the cell. This decreases the useable electrical power generated from absorbed sunlight, reducing the overall efficiency of the cell. Higher series resistance can restrict current flow, resulting in decreased power output. Minimising series resistance in a solar cell is crucial for maximising efficiency and converting more absorbed sunlight into useful electrical power. Utilising low-resistance materials and optimising cell design are effective strategies to decrease series resistance and enhance the efficiency of solar cells [10]. Thus, as Rs increases, both the fill factor and Pmax decrease, leading to a noticeable drop in efficiency. For instance, with Rs increasing from 5mΩ to 45mΩ, the efficiency decreases from 21.50% to 9.13%. Table 8 Calculated Efficiency under Varying Series Resistance ππππππ π ππ ππ π‘ππππ, mβ¦ 45 35 25 15 5 πΉπππ πΉπππ‘ππ, πΉπΉ 0.32 0.39 0.49 0.61 0.75 πππ (π) 25.20 25.20 25.20 25.20 25.20 πΈπππππππππ¦ (%) 9.13 11.10 14.03 17.48 21.50 4.2.4 Effects of Shunt Resistance 4.2.4.1 Analyzing IV and PV Curve with Varying Shunt Resistance The short-circuit current (Isc) in a solar cell remains stable despite changes in shunt resistance, which typically ranges from 100mβ¦ to 300mβ¦. Isc is mainly influenced by the amount of photons absorbed by the solar cell and its efficiency in converting these photons into electron-hole pairs. Shunt resistance influences internal losses in a solar cell, such as leakage currents and recombination losses, but has minimal effect on the absorption of incident light or the generation of electron-hole pairs [11]. However, a decrease in shunt resistance leads to a reduction in the open-circuit voltage (Voc) of a solar cell. A decreased shunt resistance enables more current flow through the shunt channels, hence decreasing the voltage differential across the cell's terminals. The Voc reduces from 0.672 to 0.650 as the voltage needed to halt the current flow through the cell lowers. The effect of low shunt resistance on Pmax is significant. Leakage currents grow as voltage increases, causing more of the produced current to be lost to alternative channels, which decreases the efficiency of power conversion as the voltage approaches the open-circuit voltage (Voc). The fall in efficiency results in a reduction in Pmax from 4.79 to 2.78, since the cell is unable to maintain a high current under load because of shunt losses. Figure 4.10 IV curve under Varying Shunt Resistance Figure 4.11 PV curve under Varying Shunt Resistance 4.2.4.2 Analyzing Efficiency and Output Current with Varying Shunt Resistance Shunt resistance (Rsh) significantly affects the output current and efficiency of photovoltaic (PV) cells, particularly in relation to the internal current flow dynamics within the cell. A reduction in shunt resistance (Rsh) results in more current bypassing the external load through internal leakage channels, especially evident when the cell nears open-circuit conditions. Transitioning from -6.56 A to -2.37 A signifies a decrease in leakage current, or in other words, an enhancement in the available current for external work. The higher absolute value of -2.37 A compared to -6.56 A implies that less current is being internally lost . The efficiency of the PV cell is significantly affected by variations in Rsh. Reducing the shunt resistance (Rsh) may lead to a loss in efficiency because of higher leakage currents. The values indicate a decrease in efficiency from 19% to 10.94%, revealing how PV cell performance deteriorates over time or in certain conditions, leading to increased leakage and decreased conversion of solar energy into electrical power. Table 9 Calculated Is, Iph And I under Varying Shunt Resistance πβπ’ππ‘ π ππ ππ π‘ππππ, β¦ 300 250 200 150 100 π ππ£πππ ππ πππ‘π’πππ‘ππ πΆπ’πππππ‘, πΌπ (π΄) 3.651 × 10−9 3.890 × 10−9 4.292 × 10−9 4.881 × 10−9 7.450 × 10−9 πβππ‘ππ£πππ‘πππ ππ’πππππ‘, πΌπβ (π΄) 10.61 10.61 10.61 10.61 10.61 ππ’π‘ππ’π‘ ππ’πππππ‘, πΌ (π΄) −2.37 −2.94 −3.71 −4.43 −6.56 Table 10 Calculated Efficiency under Varying Shunt Resistance πβπ’ππ‘ π ππ ππ π‘ππππ, β¦ 300 250 200 150 100 πΉπππ πΉπππ‘ππ, πΉπΉ 0.67 0.64 0.60 0.52 0.40 πππ (π) 25.20 25.20 25.20 25.20 25.20 πΈπππππππππ¦ (%) 19.00 18.05 16.84 14.51 10.94 4.3 Ongoing Research and Future Directions Ongoing research is focused on optimising solar energy conversion by studying the interaction between various parameters and photovoltaic cell performance. Advanced material science research aims to create novel semiconductor materials that can withstand temperature changes better and have enhanced light absorption properties. Methods like surface passivation and antireflective coatings are being studied to improve cell efficiency and decrease recombination losses. Novel technologies like perovskite solar cells and organic photovoltaics show potential for increased efficiency and reduced production expenses, possibly addressing constraints of conventional silicon-based cells. Advancements in cell design, such tandem and multi-junction cells, strive to exceed the Shockley-Queisser limit of single-junction cells, opening up new possibilities for enhancing solar energy conversion efficiency [12]. System-level enhancements like maximum power point tracking (MPPT) technologies and thermal management systems are being created to enhance the efficiency of solar panels in real-world situations, guaranteeing that PV systems can produce maximum output under different environmental conditions. The relationship between irradiance, temperature, Rs, and Rsh on PV cell performance highlights the intricate nature of solar energy conversion. Further research and innovation in materials, cell design, and system optimisation are crucial for improving the efficiency, longevity, and costefficiency of solar energy technologies, leading to a more sustainable and renewable energy future. 5. CONCLUSION We conducted a thorough experiment to investigate the intricate dynamics influencing the performance and efficiency of photovoltaic (PV) systems. We utilised advanced design approaches, simulations, and theoretical studies to examine how irradiance, temperature, series resistance (Rs), and shunt resistance (Rsh) impact the performance of solar cells. This project provided valuable insights, emphasising the crucial role of ideal sunlight exposure. We found a clear connection between irradiance levels and the electrical performance of solar cells. Decreases in irradiance resulted in significant reductions in short-circuit current (Isc) and maximum power output (Pmax). The study highlighted how temperature rises negatively impact open-circuit voltage (Voc) and Pmax by reducing the bandgap of the semiconductor material, emphasising the need of efficient thermal management. The investigation of series and shunt resistances revealed their significant impact on solar cell efficiency. Increased series resistance results in higher resistive losses, while lower shunt resistance creates internal leakage paths, both negatively affecting the efficiency and performance of photovoltaic systems. The study also explored the latest developments in solar cell technologies, including tandem solar cells, perovskite materials, and bifacial cells, indicating a bright future for solar energy conversion by potentially surpassing current efficiency constraints and cost obstacles. 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APPENDIX Jinko Solar Cheetah HC 72M - JKM400M – Datasheet Trina Solar TSM-400-DEG15M(II) Datasheet