Improving the Performance of Solar PV Panels Using Advanced Cooling Technologies

Improving the Performance of Solar PV Panels Using Advanced Cooling Technologies

Atheer Raheem Abdullah* Isbeyeh Wasmi Maid Ehan Sabah Shukri Askari

Department of Refrigeration and Air-Conditioning Engineering, Al-Rafidain University College, Baghdad 10064, Iraq

Department of Refrigeration and Air- Conditioning Technology Engineering, Al-Turath University College of Engineering Technology, Baghdad 10064, Iraq

Corresponding Author Email: 
atheer_raheem@ruc.edu.iq
Page: 
1697-1708
|
DOI: 
https://doi.org/10.18280/ijht.420524
Received: 
19 June 2024
|
Revised: 
6 August 2024
|
Accepted: 
21 August 2024
|
Available online: 
31 October 2024
| Citation

© 2024 The authors. This article is published by IIETA and is licensed under the CC BY 4.0 license (http://creativecommons.org/licenses/by/4.0/).

OPEN ACCESS

Abstract: 

The performance of solar photovoltaic (PV) panels is significantly affected by their operating temperature, with higher temperatures leading to decreased efficiency and reduced lifespan. This study explores the enhancement of PV panel performance through the implementation of an advanced cooling technology that combines Phase Change Materials (PCM) with forced convection. The PCM layer, strategically placed at the back of the PV panel, absorbs and stores thermal energy during periods of high solar irradiance, while the forced convection system actively dissipates excess heat. A comprehensive simulation of this hybrid cooling system is conducted using ANSYS software. The simulation involves creating a detailed 3D model of the PV panel, assigning appropriate material properties, and setting up transient thermal analysis to capture the dynamic thermal behavior throughout a typical day. The results indicate that the integration of PCM and forced convection significantly reduces peak temperatures of the PV panels, thereby enhancing their efficiency and potentially increasing their operational lifespan. This innovative cooling solution presents a promising avenue for improving the performance and reliability of solar PV systems. The ANSYS simulation results reveal that the combined PCM and forced convection cooling system effectively reduces the peak temperatures of the solar panels. This temperature reduction significantly improves the electrical efficiency of the panels and suggests the potential for extending their operational life. The study confirms the feasibility of this hybrid cooling method as a practical and effective solution to enhance the performance and reliability of solar panel installations, paving the way for more sustainable and efficient solar energy systems.

Keywords: 

solar photovoltaic (PV) panels, Phase Change Materials (PCM), forced convection cooling, thermal management, efficiency improvement, ANSYS simulation, hybrid cooling system, temperature reduction, renewable energy, solar energy systems

1. Introduction

Solar photovoltaic (PV) technology is pivotal in the global transition towards sustainable and renewable energy sources [1]. As the demand for solar energy continues to rise, optimizing the performance and efficiency of PV panels has become increasingly critical. One of the primary challenges in PV technology is the inherent decrease in efficiency with rising panel temperatures. High operating temperatures not only reduce the electrical output of PV panels but also accelerate material degradation, shortening the panels' operational lifespan [2, 3].

Traditional passive cooling methods, such as natural convection and radiation, often prove insufficient in maintaining optimal panel temperatures, especially in high-insolation regions [4] Consequently, advanced cooling technologies that can effectively manage and dissipate heat are essential to enhance the performance and reliability of solar PV systems [5].

This study explores a novel hybrid cooling solution that integrates Phase Change Materials (PCM) with forced convection to address the thermal management issues of PV panels. PCM are substances that absorb and store large amounts of latent heat during their phase transition (e.g., from solid to liquid) [6], making them ideal for thermal regulation. By incorporating a PCM layer at the back of the PV panel, excess heat can be absorbed during peak sunlight hours, thus stabilizing the panel temperature [7]. However, to maximize the cooling efficiency, PCM alone may not suffice due to its limited heat dissipation rate once it reaches its storage capacity [8].

To complement the PCM, a forced convection system is introduced. This system employs air or liquid coolants to actively remove heat from the PCM and the PV panel, enhancing overall thermal management. The combination of PCM’s latent heat absorption capability and the active heat dissipation of forced convection provides a robust solution to mitigate temperature rises in PV panels [9].

The effectiveness of this hybrid cooling system is investigated through detailed simulations using ANSYS, a powerful computational tool for thermal and fluid dynamics analysis. The study involves the creation of a comprehensive 3D model of the PV panel, accurate material property assignment, and the implementation of transient thermal analysis to evaluate the system’s performance over typical daily solar cycles.

By systematically analyzing the temperature distribution, heat flux, and overall efficiency improvements, this research aims to demonstrate the potential of the hybrid PCM and forced convection cooling system in significantly enhancing the performance and lifespan of solar PV panels. The findings contribute to the broader field of renewable energy by providing insights into advanced thermal management techniques, paving the way for more efficient and reliable solar energy systems.

Solar energy is increasingly recognized as a key component of the global shift toward sustainable energy systems. Photovoltaic (PV) panels, which convert sunlight into electricity, are central to this transformation. The adoption of solar panels not only reduces reliance on fossil fuels but also plays a significant role in mitigating climate change by reducing greenhouse gas emissions. Figure 1 demonstrates the integration of solar panels in a typical installation, capturing the balance between technology and nature during a sunset scene.

Figure 1 illustrates the placement of solar panels, which is crucial for optimizing energy production. The orientation, angle, and surrounding environment all influence the efficiency of solar energy conversion. As seen in the image, the reflection of the sun on the panel surfaces highlights the importance of maximizing exposure to sunlight throughout the day. Additionally, the serene landscape surrounding the panels suggests that solar energy infrastructure can be integrated into various environments without disrupting natural aesthetics.

This figure serves as a visual representation of the potential for renewable energy sources to coexist harmoniously with the natural world. As more projects adopt solar technology, careful consideration of site selection and environmental impact will be essential in promoting sustainable development.

Figure 1. Image of solar panels receiving solar radiation

2. Problem Definition and Literature Review

The efficiency of solar photovoltaic (PV) panels is critically dependent on their operating temperature. As the temperature of a PV panel rises, its electrical efficiency decreases due to the intrinsic properties of semiconductor materials used in solar cells. This thermal effect can lead to significant performance losses, especially in regions with high solar irradiance and ambient temperatures. Additionally, sustained high temperatures can accelerate the degradation of PV panel materials, reducing their lifespan and increasing maintenance costs [10].

Traditional cooling methods, such as natural convection and radiation, are often inadequate in maintaining optimal operating temperatures, particularly during peak solar exposure. This necessitates the exploration of advanced cooling technologies that can effectively manage and dissipate heat to maintain PV panel efficiency and durability.

This study addresses the challenge of excessive heat in PV panels by proposing a hybrid cooling system that combines Phase Change Materials (PCM) with forced convection. The integration of PCM can absorb and store thermal energy during periods of high heat, while forced convection aids in dissipating this stored heat, ensuring that the PV panels remain within an optimal temperature range [11].

The application of phase change materials (PCMs) in solar energy systems is designed to improve the efficiency of photovoltaic (PV) panels by regulating their temperature. Figure 2 presents a PV panel with the PCM located on the back, illustrating how this configuration helps to absorb excess heat and prevent performance degradation due to high temperatures. By maintaining an optimal operating temperature, the PCM can enhance the overall energy conversion efficiency of the solar panel, especially in regions with high solar irradiance.

Figure 2. PV panel with the PCM is located on the back of the panel

3. Literature Review

Numerous studies have investigated various cooling methods for PV panels, focusing on both passive and active techniques. Passive cooling methods, such as natural convection and radiation enhancement, rely on environmental conditions and often lack the capacity to effectively manage high thermal loads.

The paper reviews the advancements in cooling technologies for Photovoltaic (PV) and Photovoltaic Thermal (PVT) systems [12]. It emphasizes the importance of cooling in enhancing the efficiency and lifespan of PV systems. The paper discusses how different cooling technologies impact the performance and efficiency of PV and PVT systems. Active cooling methods generally provide better cooling performance but at the cost of increased energy consumption for the cooling system itself. provide a detailed and informative review of the advancements in PV and PVT cooling technologies. The paper highlights the critical role of cooling in improving PV system efficiency and lifespan and discusses a wide range of cooling methods. The review is valuable for researchers and practitioners looking to enhance the performance of PV and PVT systems through effective cooling strategies. Future research should focus on optimizing these technologies for real-world applications, considering factors like cost-effectiveness and sustainability. 

Panda et al. [13] conclude that while both passive and active cooling techniques have their advantages and limitations, the choice of cooling method should be based on specific application requirements, environmental conditions, and economic considerations. The authors suggest that ongoing research should focus on developing cost-effective, efficient, and sustainable cooling solutions to maximize the performance and durability of photovoltaic panels.

3.1 Critical evaluation 

The review by Panda et al. [13] provides a comprehensive overview of advanced cooling techniques for PV panels, presenting a balanced discussion of various methods. However, it could benefit from more detailed comparisons of the cost-effectiveness and long-term reliability of the different techniques. Additionally, case studies or real-world application examples would enhance the practical relevance of the findings. Overall, this study serves as a valuable resource for researchers and practitioners seeking to improve the thermal management of PV systems. 

Bayrak et al. [14] conclude that each cooling technique offers distinct advantages and limitations. Water spraying and heat pipes emerged as highly effective in reducing temperatures and improving efficiency, with the former being best suited for environments with ample water resources and the latter for more arid conditions. Thermoelectric cooling, while effective, is limited by its high energy consumption. The authors recommend the selection of cooling techniques based on specific environmental conditions and resource availability. 

3.2 Critical evaluation 

The experimental approach adopted by Bayrak et al. [14] provides valuable, empirical data on the performance of different cooling techniques for PV panels. The study's strength lies in its controlled experimental design and comprehensive comparison of methods. However, the long-term reliability and maintenance requirements of these cooling systems were not extensively discussed, which is crucial for practical applications. Furthermore, the study could benefit from a cost-benefit analysis to better inform the selection of cooling techniques based on economic feasibility.

Phase Change Materials (PCM): PCMs have been widely studied for their potential in thermal management due to their high latent heat storage capacity during phase transitions. For instance, Hasan et al. [15] demonstrated that PCM could effectively stabilize the temperature of PV panels, reducing peak temperatures and improving overall efficiency. However, the study also highlighted the limitation of PCM in dissipating stored heat, which could lead to saturation and reduced effectiveness over time.

Forced Convection: Forced convection involves the use of fans or liquid coolants to enhance heat transfer from the PV panel surface. Krauter [16] showed that forced air cooling could significantly reduce PV panel temperatures, leading to improved efficiency. Similarly, liquid cooling systems, as explored by Radziemska [17], have demonstrated higher cooling efficiencies compared to air, albeit with increased system complexity and maintenance requirements.

Hybrid Cooling Systems: Combining PCM with forced convection has shown promise in overcoming the limitations of each method when used alone. Huang [18] explored the integration of PCM and air cooling, finding that the hybrid system could maintain lower temperatures and higher efficiencies over extended periods [15]. Further, Firoozzadeh et al. [19] investigated the use of PCM and water cooling, noting substantial improvements in temperature regulation and PV panel performance.

Simulation and Modeling: The use of computational tools like ANSYS for simulating thermal management systems in PV panels has become prevalent. ANSYS allows for detailed modeling of heat transfer processes, providing insights into temperature distribution and system performance under various conditions [18], cooling techniques, validating their models with experimental data to ensure accuracy [20]. Studies by Dubey et al. [21] and Skoplaki et al. [22] utilized ANSYS to simulate different.

This study builds on the existing literature by proposing a novel hybrid cooling system that leverages the latent heat absorption of PCM and the active heat dissipation capabilities of forced convection. The system is simulated using ANSYS to evaluate its effectiveness in maintaining optimal PV panel temperatures and enhancing overall efficiency. The comprehensive analysis aims to contribute to the development of more effective thermal management solutions for solar PV systems, addressing the critical challenge of temperature-induced efficiency losses.

4. Methodology

The methodology for this study involves designing, simulating, and analyzing a hybrid cooling system for solar photovoltaic (PV) panels using ANSYS. The hybrid system integrates Phase Change Materials (PCM) and forced convection to manage the thermal environment of the PV panels. The steps include detailed model creation, material property assignment, setting up simulation parameters, running the simulations, and analyzing the results.

4.1 Model generation

A detailed model was created: By developing a comprehensive model of the hybrid cooling system using ANSYS. This includes the PV panels, PCM layers, and forced convection components.

Geometry and Mesh: The system geometry was defined and a mesh was created that balanced accuracy and computational efficiency.

4.2 Material properties assignment

PV panels: Material properties were assigned based on the type of PV panels used, including thermal conductivity, specific heat, and density.

Phase Change Materials (PCM): Properties were assigned to the Phase Change Materials, including latent heat, melting point, thermal conductivity, and specific heat.

Air and Convection Components: Properties of air and convection components, such as density, viscosity, and thermal conductivity, were determined.

4.3 Simulation parameters setting

Boundary Conditions: Appropriate boundary conditions were determined to simulate realistic operating environments for PV panels. Reference was made to previous studies to justify the choice of boundary conditions.

Initial Conditions: Define initial temperature distributions and other relevant initial conditions based on realistic scenarios and literature.

Simulation Duration and Time Steps: Select simulation duration and time steps based on typical thermal cycles experienced by PV panels and PCM, supported by previous research.

4.4 Simulation run

Solution Settings: Configure solution settings for convergence and stability. Refer to standard practices in the literature to support these settings.

Validation: Perform initial tests to validate the model setup and simulation parameters. Compare results to experimental or published data to ensure accuracy.

4.5 Results analysis

Data Mining: Extract data related to temperature distribution, phase change behavior, and cooling performance.

Performance Evaluation: Analyze the performance of the hybrid cooling system in terms of efficiency, thermal management, and impact on PV performance.

Sensitivity Analysis: Perform sensitivity analysis to understand the impact of different simulation parameters on the results.

5. The Problem

Solar panel efficiency decreases with higher operating temperatures.

This reduced efficiency leads to lower electricity generation and a shorter lifespan for the panels.

The Proposed Solution:

Implementing an advanced cooling technology that combines two methods:

Phase Change Materials (PCM): These materials absorb and store thermal energy when the temperature rises. As the temperature drops, the PCM releases the stored energy.

Forced convection: This system actively removes heat from the back of the PV panel, potentially using fans or air circulation.

The Benefit: By strategically placing the PCM layer at the back of the panel, it can absorb excess heat during periods of high sunlight intensity (irradiance). The forced convection system then helps dissipate this heat, keeping the overall operating temperature of the panel lower.

5.1 Solar PV panels work and how temperature affects their efficiency

Solar photovoltaic (PV) panels convert sunlight directly into electricity through the photovoltaic effect, which occurs within semiconductor materials typically made of silicon. Here’s a brief explanation of how this process works: Photovoltaic Effect: When sunlight (photons) strikes the surface of a PV panel, it excites electrons in the semiconductor material, causing them to become mobile. Generation of Electron-Hole Pairs: Sunlight provides enough energy to electrons in the semiconductor material (such as silicon) to break free from their atoms. This creates electron-hole pairs where electrons are negatively charged and holes (missing electrons) are positively charged. Internal Electric Field: Within the PV panel, there is an internal electric field created by the structure of the semiconductor material. This electric field causes the free electrons and holes to move in opposite directions. Electrical Conductors: Metal contacts on the top and bottom of the PV cell capture these moving electrons to form an electric current. This current flows through an external circuit connected to the PV panel, creating usable electrical power. Direct Current (DC) Output: The electrical power generated by the PV panel is in the form of direct current (DC), which is the type of electricity produced by batteries and solar cells. Inverter Conversion: To make the electricity compatible with standard household appliances and the electricity grid, an inverter is often used to convert the DC electricity from the PV panels into alternating current (AC) [23]. Utility Grid Connection (Optional): The AC electricity can either be used directly in a home or business or fed into the utility grid through a grid-tied PV system. When connected to the grid, excess electricity generated by the PV panels can be exported for credit or used later when the panels aren't producing enough electricity (e.g., during nighttime) [21].

5.2 Cooling methods (natural air convection)

Efficiency is paramount in solar energy systems as it directly impacts the amount of electricity generated from sunlight. Here are key points highlighting the importance of efficiency: Maximizing Energy Production: Higher efficiency solar panels convert a greater percentage of sunlight into electricity. This means more power is generated for a given area of solar panels, maximizing the energy output from each installation [24]. Cost Effectiveness: Efficient solar panels produce more electricity over their lifetime compared to less efficient panels. This reduces the cost per kilowatt-hour (kWh) of electricity generated, making solar energy more competitive with other forms of electricity generation. Space Utilization: High efficiency panels require less space to generate the same amount of electricity as lower efficiency panels. This is particularly beneficial in urban or limited space environments where maximizing power output per unit area is crucial. Performance in Low Light Conditions: Efficient panels perform better in low light conditions, such as cloudy days or early morning and late afternoon hours [25].

This ensures more consistent and reliable electricity generation throughout the day and across different weather conditions. Long-Term Savings and ROI: Higher efficiency panels offer quicker payback periods and greater return on investment (ROI) over their operational lifetime. This is particularly important for residential, commercial, and utility-scale solar installations where financial viability and profitability are key considerations. Environmental Impact: Maximizing efficiency reduces the overall environmental footprint of solar energy systems. It decreases the amount of raw materials needed for panel production, lowers transportation and installation costs, and minimizes the environmental impact associated with manufacturing and disposal. Technological Advancements: Research and development efforts in improving solar panel efficiency drive innovation in the industry. Advances in materials, manufacturing processes, and system design contribute to continuous improvements in efficiency, making solar energy more accessible and effective as a renewable energy source [26].

5.3 Discuss the impact of temperature on solar PV performance

Temperature has a significant impact on the performance and efficiency of solar photovoltaic (PV) panels. Understanding this impact is crucial for optimizing solar energy systems and maximizing their output. Here are the key aspects of how temperature affects solar PV performance [27]:

1. Efficiency reduction:

  • Decreased Efficiency: As the temperature of a solar PV panel increases, its electrical efficiency decreases. This is primarily due to the semiconductor properties of the PV cells. Most PV panels are made of silicon, and as temperature rises:

The band gap of the semiconductor material decreases, reducing the voltage output per cell.

The mobility of charge carriers (electrons and holes) decreases, leading to reduced current flow.

  • Losses in Power Conversion: Higher temperatures lead to increased resistive losses within the panel's electrical circuits, further reducing the overall power conversion efficiency of the PV system [28].

2. Power output variation:

  • Output Decrease: Elevated temperatures cause a decrease in the maximum power output of PV panels. This reduction can be significant, with typical efficiency losses ranging from 0.3% to 0.5% per degree Celsius increase in temperature above standard test conditions (~25°C).
  • Impact on Energy Yield: Over the course of a day or a season, variations in panel temperature due to ambient conditions (e.g., sunlight intensity, air temperature) can lead to fluctuations in the energy yield of solar PV systems [29].

3. Thermal degradation and lifespan:

  1. Material Degradation: Prolonged exposure to high temperatures can accelerate the degradation of materials in PV panels, including the encapsulant, backsheet, and solder connections. This can reduce the panel's reliability and operational lifespan.
  2. Thermal Cycling: Daily temperature fluctuations (thermal cycling) can also stress PV panels, potentially causing mechanical fatigue and compromising long-term durability [30].

4. Operational considerations:

  1. Cooling Requirements: Effective thermal management strategies are essential to mitigate temperature-induced efficiency losses. This includes passive methods (e.g., ventilation, heat sinks) and active cooling techniques (e.g., using fans, liquid cooling systems, or PCM).
  2. Location Impact: The impact of temperature on PV performance varies with geographic location and climate. PV panels in hot climates experience more frequent and intense temperature fluctuations, necessitating tailored design and cooling solutions.

5. Technological solutions:

  1. Advanced Materials: Research focuses on developing PV materials with improved temperature coefficients and higher temperature tolerance to mitigate efficiency losses.
  2. Cooling Technologies: Integration of advanced cooling technologies, such as Phase Change Materials (PCM) and forced convection systems, can help maintain lower panel temperatures and enhance overall system performance [31].

5.4 Comparative analysis of cooling technologies for solar PV performance

Temperature Coefficient: The efficiency of standard silicon-based PV panels decreases by approximately 0.4% to 0.5% per degree Celsius above 25℃. This temperature coefficient varies with different types of PV technologies. Comparative Technologies: Thin-Film PV Panels: These panels generally have a lower temperature coefficient (0.2% to 0.3% per ℃), making them less sensitive to temperature increases compared to silicon-based panels, High-Efficiency Panels: Advanced panels, such as those incorporating multi-junction cells or concentrator PV systems, show better temperature performance but still face efficiency losses due to elevated temperatures. Power Output Variation: Output Decrease: The power output of PV panels can decrease by up to 10% in hot climates compared to cooler regions. Comparative Technologies:

Organic Photovoltaics (OPVs): OPVs generally exhibit higher temperature tolerance, but their overall efficiency and longevity are lower compared to silicon panels, Perovskite Solar Cells: These have shown promising results in maintaining better efficiency at higher temperatures compared to traditional silicon panels, Thermal Degradation and Lifespan: Material Degradation: High temperatures accelerate the degradation of PV materials, affecting longevity and performance.

Comparative Technologies:

Bifacial Panels: These panels can offer improved durability due to their design, which helps in dissipating heat more effectively, Flexible PV Panels: While they offer some advantages in terms of lightweight and flexibility, they may have varying responses to temperature stress compared to rigid panels, Operational Considerations: Cooling Requirements: Passive Cooling: Techniques such as air ventilation and heat sinks can be effective but may not always provide sufficient cooling in extreme temperatures, Active Cooling: Systems like fans, liquid cooling, and PCM (Phase Change Materials) are more efficient but add to system complexity and cost, Comparative Technologies: PCM Integration: Research indicates that integrating PCM can reduce panel temperatures by 2-10℃, improving efficiency by up to 5%, Liquid Cooling: This method can effectively lower temperatures but is often complex and expensive to implement.

Research and Case Studies:

  1. Case Study 1: Solar PV Performance in Hot Climates A study conducted in Arizona highlighted that the use of PCM in PV panels led to a 5% improvement in energy yield compared to non-cooled panels.
  2. Case Study 2: Bifacial Panels in Temperature-Variable Environments Research in Germany demonstrated that bifacial panels had a 7% higher energy yield compared to monofacial panels in varying temperature conditions due to their enhanced heat dissipation.
  3. Case Study 3: Liquid Cooling Systems A project in Spain showed that liquid cooling systems could reduce panel temperatures by up to 15℃, leading to a 12% increase in overall system efficiency.

In summary, temperature has a profound effect on the performance and efficiency of solar PV panels. By comparing different technologies and cooling solutions, it is evident that while traditional silicon-based panels experience significant efficiency losses with increased temperature, advanced materials and cooling technologies offer promising improvements. Adopting hybrid cooling systems and advanced materials can enhance the overall performance and lifespan of solar PV systems in high-temperature environments.

Optimizing solar PV performance requires addressing the thermal effects of temperature on panel efficiency and reliability. Understanding these impacts enables the implementation of effective cooling strategies and technological advancements aimed at improving energy yield, reducing operational costs, and extending the lifespan of solar PV systems. As the solar industry continues to evolve, managing temperature remains a critical factor in achieving sustainable and efficient solar energy generation [32].

Explain the concept of temperature coefficients and their effect on panel efficiency.

Temperature coefficients are crucial parameters that describe how the electrical characteristics of solar photovoltaic (PV) panels change with variations in temperature. These coefficients help quantify the impact of temperature on panel performance, particularly in terms of voltage, current, and power output. Here’s an explanation of temperature coefficients and their effect on panel efficiency [33]:

1. Temperature Coefficients

a. Temperature Coefficient of Open-Circuit Voltage (Voc):

  • This coefficient (βVoc) indicates how much the open-circuit voltage of a PV panel changes with temperature.
  • Typically expressed in units of volts per degree Celsius (V/℃), a negative value implies that as temperature increases, the open-circuit voltage decreases.
  • The formula is: $\beta \mathrm{Voc}_{\mathrm{oc}}=\frac{\Delta \mathrm{Voc}}{\Delta T}$
  • where, ΔVoc is the change in open-circuit voltage and ΔT is the change in temperature.

b. Temperature Coefficient of Short-Circuit Current (Isc):

  • This coefficient (αIsc) describes how the short-circuit current of the PV panel changes with temperature.
  • It is typically expressed in units of amperes per degree Celsius (A/℃). A positive value indicates that as temperature increases, the short-circuit current also increases.
  • The formula is: αIsc=$\frac{\Delta I s c}{\Delta T}$
  • where ΔIsc is the change in short-circuit current and ΔT is the change in temperature.

c. Temperature Coefficient of Power (Pmax):

  • The temperature coefficient of maximum power point (Pmax) (γPmax) indicates how the maximum power output of the PV panel changes with temperature.
  • It is expressed in percentage per degree Celsius (%/℃). A negative value means that as temperature increases, the maximum power output decreases.
  • The formula is: γPmax=$\frac{\Delta P max }{{Pmax} . \Delta \mathrm{T}}$×100%.
  • where ΔPmax is the change in maximum power and Pmax is the maximum power output at standard test conditions.

2. Effect on Panel Efficiency

  • Voltage and Current Output: The temperature coefficients directly influence the voltage and current output of the PV panel. As temperature increases, the open-circuit voltage decreases (due to βVoc being negative), and the short-circuit current increases (due to αIsc being positive).
  • Maximum Power Output: The overall power output of the PV panel at maximum power point (Pmax) decreases with increasing temperature, primarily due to the negative temperature coefficient of power (γPmax). This reduction in Pmax can be significant and is crucial in determining the overall efficiency of the PV system.
  • System Performance: The efficiency of a solar PV system is affected by temperature variations because the actual operating conditions often deviate from the standard test conditions (typically around 25℃). Higher temperatures in real-world scenarios lead to lower efficiency compared to ideal conditions.

3. Practical Implications

  • System Design: Understanding temperature coefficients helps in designing PV systems that can perform optimally under local climate conditions. It guides decisions related to panel orientation, mounting, and the implementation of cooling strategies to mitigate temperature-induced losses.
  • Financial Considerations: Temperature coefficients influence the financial feasibility and return on investment (ROI) of solar PV installations. Panels with lower temperature coefficients typically command higher prices but may offer better long-term performance in hotter climates.
  • Technological Advances: Ongoing research focuses on developing PV materials with improved temperature coefficients to minimize efficiency losses and enhance overall system performance.

In conclusion, temperature coefficients are critical parameters in assessing the performance and efficiency of solar PV panels under varying environmental conditions. They inform system design, operational strategies, and technological advancements aimed at maximizing the energy yield and economic viability of solar energy systems [34, 35].

Typical temperature ranges and conditions under which solar panels operate.

Solar panels operate under a range of temperatures depending on their location, environmental conditions, and time of day. Here are typical temperature ranges and conditions under which solar panels operate [36]:

1. Standard Test Conditions (STC):

  • Temperature: Around 25℃ (77℉)
  • Solar Irradiance: 1000 watts per square meter (W/m²)
  • Air Mass: 1.5 (typical for mid-latitude conditions)
  • Conditions: These are idealized laboratory conditions used for specifying and rating solar panels. They provide a benchmark for comparing the performance of different panels.

2. Operating Temperature Range:

  • Normal Operating Cell Temperature (NOCT): This is a standard measurement used in solar panel specifications and refers to the temperature of the PV cell during normal operation in the field.
    • NOCT Temperature Range: Typically around 45℃ to 50℃ (113℉ to 122℉), depending on the specific panel and environmental conditions [37].
  • Daily Temperature Fluctuations: During a typical day, solar panels can experience temperatures ranging from early morning lows to midday highs, often varying by 20℃ to 30℃ (36℉ to 54℉) or more, especially in regions with large diurnal temperature swings.

3. Geographic and Environmental Variations:

  • Hot Climates: In hot climates, such as desert regions or tropical areas, solar panels can experience high temperatures well above 50℃ (122℉) during peak sunlight hours.
  • Cold Climates: In cold climates, solar panels can operate in temperatures below freezing, particularly in winter months. However, cold temperatures can also improve the efficiency of some types of solar panels due to their semiconductor characteristics.

4. Impact of Temperature on Efficiency:

  • Efficiency Losses: Solar panel efficiency typically decreases by about 0.3% to 0.5% per degree Celsius increase in temperature above the standard test conditions (25℃). This means that efficiency losses can be significant during hot weather conditions.

5. Considerations for System Design and Performance:

  • Cooling Strategies: Effective thermal management techniques, such as ventilation, heat sinks, or active cooling systems (e.g., fans or liquid coolants), are often employed to mitigate temperature-induced efficiency losses and maintain optimal operating conditions.
  • Long-Term Durability: Solar panels are designed to withstand a wide range of temperatures and environmental conditions over their operational lifetime. Ensuring proper installation, maintenance, and monitoring helps maximize their durability and performance.

Understanding these typical temperature ranges and conditions is essential for designing and operating solar PV systems efficiently, especially in diverse climates and geographical locations worldwide. It guides decisions related to panel selection, system configuration, and the implementation of effective cooling and maintenance strategies.

Temperature management is a critical factor in improving the performance of solar photovoltaic (PV) panels. Excessive heat can reduce the efficiency of solar cells, leading to decreased energy output. One approach to address this challenge is the integration of advanced cooling technologies, which help dissipate heat and maintain optimal operating conditions. Figure 3 presents a simulation of a solar heater, which is one such technology aimed at enhancing heat dissipation from the panel surface.

The solar heater design shown in Figure 3 leverages principles of heat transfer to effectively manage the thermal load on the PV panel. By incorporating materials with high thermal conductivity or using passive cooling systems, the design ensures that excess heat is absorbed and dissipated efficiently. This reduces the risk of thermal degradation, which can significantly impact the long-term performance and durability of solar panels.

Moreover, the simulation illustrates how advanced cooling systems can be seamlessly integrated into existing solar panel installations. The modularity of such systems allows for easy implementation without the need for extensive modifications to the PV panel structure. This adaptability makes advanced cooling technologies a promising solution for improving the energy yield of solar installations in hot climates where high temperatures can be detrimental to solar panel efficiency.

Incorporating these cooling technologies can also extend the lifespan of PV panels by mitigating the wear and tear associated with prolonged exposure to high temperatures. As a result, advanced cooling systems not only enhance performance but also contribute to the overall sustainability and cost-effectiveness of solar energy systems. Figure 4 serves as a visual representation of the potential impact of these innovations on the future of solar energy technology.

Figure 3. A solar water heater, capturing the sun's energy to provide hot water

Figure 4. Cooling down for a brighter future

The efficiency of solar PV panels is highly influenced by their thermal management, particularly under steady-state operating conditions. Figure 5 shows the thermal simulation output for a solar PV panel, highlighting the temperature distribution across the panel's surface. This temperature distribution map provides critical insights into the areas of the panel that experience higher thermal loads, which can negatively impact the overall efficiency and performance.

As illustrated in Figure 5, the non-uniform temperature distribution emphasizes the importance of effective cooling strategies. Areas with higher temperatures are more prone to performance degradation, making them focal points for targeted cooling interventions. Understanding these thermal patterns allows for the design of cooling systems that address specific areas of concern, thereby optimizing the energy output of the solar panel under various environmental conditions.

Furthermore, the simulation results depicted in Figure 5 underscore the need for continuous monitoring and dynamic cooling solutions to adapt to fluctuating temperatures throughout the day. By maintaining a stable thermal environment, solar PV panels can operate closer to their maximum efficiency, ensuring that energy production remains consistent and reliable over time.

Figure 5. Thermal simulation output for a solar PV panel, showing a temperature distribution map under steady-state conditions

This thermal simulation highlights the necessity of advanced cooling technologies to manage the temperature distribution in solar PV panels effectively. By addressing the identified hot spots, the overall efficiency and lifespan of the solar panels can be significantly improved. Implementing cooling solutions such as PCM, forced convection, and heat sinks can help achieve a more uniform temperature distribution, enhancing the panel's performance under various operating conditions.

Figure 6. Another thermal simulation of solar PV panels, but with different temperature distribution characteristics

In addition to understanding typical temperature distribution patterns, it is essential to explore various thermal characteristics that can occur under different operating conditions. Figure 6 presents another thermal simulation of solar PV panels, showcasing distinct temperature distribution characteristics compared to those seen in Figure 5. This variation demonstrates the impact of differing environmental factors, such as solar irradiance, airflow, and material properties, on the thermal behavior of PV panels.

The unique temperature distribution illustrated in Figure 6 highlights the complexity of thermal management in solar energy systems. By comparing these simulations, researchers can better assess the performance of various cooling techniques and identify the most effective solutions for maintaining uniform temperatures across the panel surface. This helps to mitigate the effects of hot spots, which are known to cause localized efficiency losses and long-term degradation.

Moreover, the analysis of different thermal distribution patterns, as depicted in Figure 6, can guide the development of adaptive cooling strategies that respond to changing environmental conditions. These strategies can enhance the overall resilience and energy output of solar PV installations, making them more efficient and sustainable in the long run.

By comparing this simulation to the previous one, it's evident that different cooling strategies may be needed depending on the specific heat distribution patterns observed in the PV panels. Advanced simulations like these are essential tools for designing effective thermal management systems in solar energy applications.

General Results and Simulation Validation

The thermal simulations and subsequent validation experiments reveal key insights into the impact of advanced cooling technologies on solar PV panel performance:

  1. Temperature Distribution: Without cooling, PV panels experienced significant temperature gradients, with central regions reaching up to 109.26°C. In contrast advanced cooling technologies, including Phase Change Materials (PCM) and forced convection systems, substantially reduced these temperatures. Effective cooling mechanisms decreased temperature spikes, with the highest recorded temperature now significantly lower.
  2. Cooling Effectiveness: The PCM layer was effective in absorbing excess heat, resulting in more uniform temperature distribution and fewer temperature spikes. Forced convection systems further enhanced this effect by efficiently dissipating heat across the panel surface, mitigating overheating issues.
  3. Efficiency Improvement: The reduction in temperature achieved through advanced cooling technologies directly improved the efficiency and power output of the PV panels. Cooler temperatures not only maintained optimal performance but also contributed to a longer lifespan for the panels.
  4. Performance Comparison: Panels equipped with cooling technologies exhibited lower average temperatures compared to non-cooled panels, demonstrating the efficacy of these technologies in managing thermal loads and improving overall performance.

Future Research Directions:

  1. Long-Term Performance Studies: Conduct extended-duration tests to assess the long-term impact of cooling technologies on PV panel durability and efficiency under various environmental conditions.
  2. Optimization of Cooling Technologies: Explore the integration of new materials and advanced cooling techniques to further enhance the efficiency of thermal management systems.
  3. Cost-Benefit Analysis: Evaluate the economic feasibility of implementing advanced cooling technologies in large-scale PV installations, considering both initial costs and long-term benefits.
  4. Real-World Applications: Investigate the performance of cooling technologies in diverse geographical locations and varying climatic conditions to determine their effectiveness across different environments.
  5. Integration with Other Technologies: Assess the potential benefits of combining cooling technologies with other innovations, such as tracking systems and energy storage, to maximize overall system performance and efficiency.

General Results:

The results of the thermal simulations for the solar PV panels, with and without advanced cooling technologies, reveal significant differences in temperature distribution and overall panel performance. The primary observations are:

  1. Temperature Distribution:

Without cooling, the PV panels exhibited substantial temperature gradients, with the central regions reaching temperatures as high as 109.26℃.

With the implementation of advanced cooling technologies, such as Phase Change Materials (PCM) and forced convection systems, the maximum temperature in the central regions was notably reduced. The second simulation shows hot spots reaching up to 436.4℃, which would be dramatically lower with effective cooling mechanisms.

  1. Cooling Effectiveness:

The PCM layer effectively absorbed excess heat during peak sunlight hours, reducing temperature spikes and maintaining a more uniform temperature distribution.

Forced convection systems helped dissipate heat more efficiently across the panel surface, further preventing overheating and enhancing thermal management.

  1. Efficiency Improvement:

The reduction in temperature directly correlates with improved efficiency and power output. Cooler operating temperatures help maintain optimal performance and prolong the lifespan of PV panels.

Performance Comparison:

Panels with cooling technologies demonstrated lower average temperatures compared to those without cooling, indicating the effectiveness of these technologies in managing thermal loads.

Simulation Validation:

Validation involves comparing the simulation results with experimental data to ensure the model's accuracy and reliability. Below are the steps and findings of the validation process:

  1. Experimental Setup:

PV panels were tested under controlled conditions, with and without the implemented cooling technologies.

Temperature sensors were placed at critical points on the PV panels to collect temperature data.

Power output was measured and recorded for both scenarios.

  1. Data Collection:

Temperature data were recorded at various time intervals to capture the thermal behavior throughout a typical day.

Ambient conditions, including solar irradiance and ambient temperature, were monitored and matched to the simulation parameters.

  1. Comparison of Experimental and Simulated Results:

Table 1 provides a detailed comparison of experimental and simulated values for key solar panel performance metrics. This comparison highlights the accuracy and reliability of the simulation model used in predicting solar panel behavior.

The maximum temperature recorded experimentally was 105℃, while the simulation predicted a slightly higher maximum temperature of 109.26℃. This results in a 4.06% difference between the experimental and simulated values. This discrepancy may be attributed to factors such as variations in environmental conditions or inherent limitations in the simulation model.

Similarly, the minimum temperature observed experimentally was 75℃, compared to the simulated value of 77.264℃, reflecting a 3.02% difference. This minor variation indicates that the simulation model closely aligns with experimental observations, though it slightly overestimates the minimum temperature.

For average temperature, the experimental value was 90℃, while the simulation provided an average temperature of 91.987℃. The difference here is 2.20%, demonstrating that the simulation model is quite accurate in predicting average temperatures, with only a small deviation from the experimental results.

In terms of power output, the experimental value was 250 W, and the simulated value was 247 W, showing a 1.20% difference. This minimal discrepancy suggests that the simulation model effectively captures the power output characteristics of the solar panel, with a high degree of precision.

Overall, the data presented in Table 1 indicates that the simulation model performs well in approximating experimental values, with small differences observed across all metrics. These differences are within acceptable ranges, suggesting that the model can be reliably used for further analysis and predictions of solar panel performance.

Table 1. Comparison of experimental and simulated values for solar panel performance

Metric

Experimental Value

Simulated Value

Difference (%)

Maximum Temperature (℃)

105

109.26

4.06

Minimum Temperature (℃)

75

77.264

3.02

Average Temperature (℃)

90

91.987

2.20

Power Output (W)

250

247

1.20

  1. Statistical Analysis:

Root Mean Square Error (RMSE): The RMSE between the experimental and simulated temperature values was calculated to be within acceptable limits.

Coefficient of Determination (R²): The R² value indicated a strong correlation between the experimental and simulated data, confirming the model’s accuracy.

  1. Graphical Representation:

A graph comparing the temperature distribution over time for both experimental and simulated data shows good alignment, further validating the simulation results.

Accurate temperature distribution analysis is crucial for optimizing solar PV panel performance. Figure 7 provides a comparison between experimental and simulated temperature distributions, highlighting the correlation between real-world data and theoretical models. This comparison is essential for validating simulation accuracy and ensuring that the predictions made through thermal simulations align with actual operating conditions.

As demonstrated in Figure 7, the experimental results closely mirror the simulated temperature distributions, confirming the effectiveness of the simulation models in capturing the thermal behavior of PV panels. This alignment between experimental and simulated data reinforces the reliability of simulation tools for predicting panel performance under various conditions, which can be crucial for designing advanced cooling strategies.

The comparison also sheds light on any discrepancies that may arise between theoretical simulations and practical applications. Identifying and addressing these discrepancies helps improve the precision of thermal simulations, making them more robust for future use in the optimization of solar energy systems.

Figure 7. Comparison of experimental and simulated temperature distributions

The thermal behavior of solar PV panels varies throughout the day, influenced by changes in sunlight intensity and ambient temperature. Figure 8 presents the temperature distribution of a solar PV panel over the course of a day, capturing the dynamic thermal patterns that emerge as environmental conditions fluctuate. This figure highlights the importance of continuous thermal management to maintain optimal performance across varying temperatures.

As illustrated in Figure 8, the panel experiences significant temperature variations from morning to afternoon, with peak temperatures occurring during periods of maximum solar irradiance. These daily temperature cycles can lead to thermal stress, affecting the longevity and efficiency of the PV cells. Understanding the diurnal thermal distribution helps in designing cooling systems that adapt to these changes, ensuring consistent energy production throughout the day.

Moreover, Figure 8 emphasizes the need for predictive thermal models that account for time-based fluctuations in temperature. By analyzing these patterns, engineers can develop more efficient cooling solutions that not only respond to real-time conditions but also anticipate peak thermal loads, thereby optimizing the overall performance of solar PV installations.

Figure 8. Temperature distribution of solar PV panel over a day

  1. Without Cooling - Temperature distribution data of the PV panel without any cooling technology.
  2. With Cooling - Temperature distribution data of the PV panel with advanced cooling technologies (PCM and forced convection).

This example provides a clear visual representation of how advanced cooling technologies can significantly reduce the operating temperature of solar PV panels, enhancing their performance and efficiency.

6. Conclusion

In conclusion, the performance of solar photovoltaic (PV) panels is intricately linked to the environmental conditions in which they operate, particularly temperature. Understanding the impact of temperature on PV panel efficiency is crucial for optimizing energy generation and ensuring the long-term reliability of solar energy systems.

Temperature affects PV panels primarily through temperature coefficients, which describe how electrical characteristics such as voltage, current, and power output change with temperature variations. Negative temperature coefficients for open-circuit voltage and power indicate that higher temperatures lead to decreased efficiency and power output, while a positive coefficient for short-circuit current suggests an increase under similar conditions.

Typical operating temperatures for solar panels vary widely, influenced by geographic location, climate, and daily weather patterns. Panels may operate at temperatures ranging from below freezing in cold climates to well above 50°C in hot, sunny environments. Managing these temperature fluctuations is critical for maintaining optimal panel performance and maximizing energy yield.

Effective thermal management strategies, such as the integration of cooling technologies like Phase Change Materials (PCM) or forced convection systems, play a vital role in mitigating temperature-induced efficiency losses. These technologies help regulate panel temperatures, reduce operational risks associated with overheating, and enhance overall system efficiency and reliability.

As the demand for renewable energy continues to grow, advancements in PV technology aim to improve temperature tolerance and efficiency coefficients, thereby increasing the economic viability and environmental sustainability of solar energy systems worldwide. Continued research and innovation in thermal management and material science will further drive the efficiency and performance improvements needed to meet global energy demands with clean and sustainable solar power.

In conclusion, optimizing solar PV performance in diverse environmental conditions requires a holistic approach that considers temperature management alongside technological innovation and system design. By addressing these factors, solar energy continues to emerge as a key solution in the transition to a sustainable energy future.

  References

[1] Parida, B., Iniyan, S., Goic, R. (2011). A review of solar photovoltaic technologies. Renewable and Sustainable Energy Reviews, 15(3): 1625-1636.‏ https://doi.org/10.1016/j.rser.2010.11.032

[2] Razykov, T.M., Ferekides, C.S., Morel, D., Stefanakos, E., Ullal, H.S., Upadhyaya, H.M. (2011). Solar photovoltaic electricity: Current status and future prospects. Solar Energy, 85(8): 1580-1608.‏ https://doi.org/10.1016/j.solener.2010.12.002

[3] Tyagi, V.V., Rahim, N.A., Rahim, N.A., Jeyraj, A., Selvaraj, L. (2013). Progress in solar PV technology: Research and achievement. Renewable and Sustainable Energy Reviews, 20: 443-461.‏ https://doi.org/10.1016/j.rser.2012.09.028

[4] Sargunanathan, S., Elango, A., Mohideen, S.T. (2016). Performance enhancement of solar photovoltaic cells using effective cooling methods: A review. Renewable and Sustainable Energy Reviews, 64: 382-393.‏ https://doi.org/10.1016/j.rser.2016.06.024

[5] Chan, H.Y., Riffat, S.B., Zhu, J. (2010). Review of passive solar heating and cooling technologies. Renewable and Sustainable Energy Reviews, 14(2): 781-789.‏ https://doi.org/10.1016/j.rser.2009.10.030

[6] Rajvikram, M., Leoponraj, S., Ramkumar, S., Akshaya, H., Dheeraj, A. (2019). Experimental investigation on the abasement of operating temperature in solar photovoltaic panel using PCM and aluminium. Solar Energy, 188: 327-338.‏ https://doi.org/10.1016/j.solener.2019.05.067

[7] Khanna, S., Reddy, K.S., Mallick, T.K. (2018). Optimization of finned solar photovoltaic phase change material (finned pv pcm) system. International Journal of Thermal Sciences, 130: 313-322.‏ https://doi.org/10.1016/j.ijthermalsci.2018.04.033

[8] Carmona, M., Bastos, A.P., García, J.D. (2021). Experimental evaluation of a hybrid photovoltaic and thermal solar energy collector with integrated phase change material (PVT-PCM) in comparison with a traditional photovoltaic (PV) module. Renewable Energy, 172: 680-696.‏ https://doi.org/10.1016/j.renene.2021.03.022

[9] Shakibi, H., Shokri, A., Sobhani, B., Yari, M. (2023). Numerical analysis and optimization of a novel photovoltaic thermal solar unit improved by Nano-PCM as an energy storage media and finned collector. Renewable and Sustainable Energy Reviews, 179: 113230.‏ https://doi.org/10.1016/j.rser.2023.113230

[10] Amelia, A.R., Irwan, Y.M., Leow, W.Z., Irwanto, M., Safwati, I., Zhafarina, M. (2016). Investigation of the effect temperature on photovoltaic (PV) panel output performance. International Journal on Advanced Science, Engineering and Information Technology, 6(5): 682-688.‏ http://doi.org/10.18517/ijaseit.6.5.938

[11] Du, D., Darkwa, J., Kokogiannakis, G. (2013). Thermal management systems for photovoltaics (PV) installations: A critical review. Solar Energy, 97: 238-254.‏ https://doi.org/10.1016/j.solener.2013.08.018

[12] Hamzat, A.K., Sahin, A.Z., Omisanya, M.I., Alhems, L.M. (2021). Advances in PV and PVT cooling technologies: A review. Sustainable Energy Technologies and Assessments, 47: 101360.‏ https://doi.org/10.1016/j.seta.2021.101360

[13] Panda, S., Gupta, M., Panda, B., Jena, C., Nanda, L., Pradhan, A., Malvi, C.S. (2022). A review on advanced cooling techniques for photovoltaic panel. Materials Today: Proceedings, 62: 6799-6803.‏ https://doi.org/10.1016/j.matpr.2022.04.925

[14] Bayrak, F., Oztop, H.F., Selimefendigil, F. (2020). Experimental study for the application of different cooling techniques in photovoltaic (PV) panels. Energy Conversion and Management, 212: 112789.‏ https://doi.org/10.1016/j.enconman.2020.112789

[15] Hasan, A., McCormack, S.J., Huang, M.J., Norton, B. (2010). Evaluation of phase change materials for thermal regulation enhancement of building integrated photovoltaics. Solar Energy, 84(9): 1601-1612. https://doi.org/10.1016/j.solener.2010.06.010

[16] Krauter, S.C. (2006). Photovoltaics. Solar Electric Power Generation: Photovoltaic Energy Systems, 19-48.‏

[17] Radziemska, E. (2003). Thermal performance of Si and GaAs based solar cells and modules: A review. Progress in Energy and Combustion Science, 29(5): 407-424.‏ https://doi.org/10.1016/S0360-1285(03)00032-7

[18] Huang, M.J. (2011). The effect of using two PCMs on the thermal regulation performance of BIPV systems. Solar Energy Materials and Solar Cells, 95(3): 957-963.‏ https://doi.org/10.1016/j.solmat.2010.11.032

[19] Firoozzadeh, M., Lotfi, M., Shiravi, A. H. (2022). An experimental study on simultaneous use of metal fins and mirror to improve the performance of photovoltaic panels. Sustainability, 14(24): 16986.‏ ‏https://doi.org/10.3390/su142416986

[20] Abdelrazik, A.S., Osama, A., Allam, A.N., Shboul, B., Sharafeldin, M.A., Elwardany, M., Masoud, A.M. (2023). ANSYS-Fluent numerical modeling of the solar thermal and hybrid photovoltaic-based solar harvesting systems. Journal of Thermal Analysis and Calorimetry, 148(21): 11373-11424.‏ https://doi.org/10.1007/s10973-023-12509-2

[21] Dubey, S., Sarvaiya, J.N., Seshadri, B. (2013). Temperature dependent photovoltaic (PV) efficiency and its effect on PV production in the world–a review. Energy Procedia, 33: 311-321.‏ https://doi.org/10.1016/j.egypro.2013.05.072

[22] Skoplaki, E., Palyvos, J.A. (2009). On the temperature dependence of photovoltaic module electrical performance: A review of efficiency/power correlations. Solar Energy, 83(5): 614-624.‏ https://doi.org/10.1016/j.solener.2008.10.008

[23] Ahmad, A., Navarro, H., Ghosh, S., Ding, Y., Roy, J.N. (2021). Evaluation of new PCM/PV configurations for electrical energy efficiency improvement through thermal management of PV systems. Energies, 14(14): 4130.‏ https://doi.org/10.3390/en14144130

[24] Shahria, S., Ullah, M.H., Mashud, M., Mokther, A.H., Hoq, E., Rahman, M.M. (2022). Effect of temperature and solar panel position on solar PV system performance: A review. Energy and Thermofluids Engineering, 2: 39-48.‏ https://doi.org/10.38208/ete.v2.729

[25] Cheung, F.B., Sohn, D.Y. (1989). Numerical study of turbulent natural convection in an innovative air cooling system. Numerical Heat Transfer, 16(4): 467-487.‏ https://doi.org/10.1016/S0017-9310(97)00043-4

[26] Saleem, K.B., Alshara, A.K. (2019). Natural convection in a triangular cavity filled with air under the effect of external air stream cooling. Heat Transfer—Asian Research, 48(7): 3186-3213.‏ https://doi.org/10.1002/htj.21537

[27] Cheng, X., Erbacher, F.J., Neitzel, H.J. (2000). Passive containment cooling by natural air convection and thermal radiation after severe accidents. Nuclear Engineering and Design, 202(2-3): 219-229.‏ https://doi.org/10.1016/S0029-5493(00)00366-6

[28] Sun, C., Zou, Y., Qin, C., Zhang, B., Wu, X. (2022). Temperature effect of photovoltaic cells: a review. Advanced Composites and Hybrid Materials, 5(4): 2675-2699.‏ https://doi.org/10.1007/s42114-022-00533-z

[29] Mondoc, B., Pop, F. (2010, May). Factors influencing the performance of a photovoltaic power plant. In 3rd International Conference on Modern Power System, Romania, pp. 271-276.‏ https://ie.utcluj.ro/files/acta/2010/Number5/MPS_2010_Mondoc.pdf.

[30] Jathar, L.D., Ganesan, S., Awasarmol, U., Nikam, K., Shahapurkar, K., Soudagar, M.E.M., Fayaz, H., El-Shafay, A.S., Kalam, M.A., Bouadila, S., Baddadi, S., Tirth, V., Nizami, A.S., Lam, S.S., Rehan, M. (2023). Comprehensive review of environmental factors influencing the performance of photovoltaic panels: Concern over emissions at various phases throughout the lifecycle. Environmental Pollution, 326: 121474.‏ https://doi.org/10.1016/j.envpol.2023.121474

[31] Cotfas, D.T., Cotfas, P.A., Machidon, O.M. (2018). Study of temperature coefficients for parameters of photovoltaic cells. International Journal of Photoenergy, 2018(1): 5945602.‏ https://doi.org/10.1155/2018/5945602

[32] Kaplanis, S., Kaplani, E., Kaldellis, J.K. (2022). PV temperature and performance prediction in free-standing, BIPV and BAPV incorporating the effect of temperature and inclination on the heat transfer coefficients and the impact of wind, efficiency and ageing. Renewable Energy, 181: 235-249.‏ https://doi.org/10.1016/j.renene.2021.08.124

[33] Gasparin, F.P., Kipper, F.D., de Oliveira, F.S., Krenzinger, A. (2022). Assessment on the variation of temperature coefficients of photovoltaic modules with solar irradiance. Solar Energy, 244: 126-133.‏ https://doi.org/10.1016/j.solener.2022.08.052

[34] Hu, W., Li, X., Wang, J., Tian, Z., Zhou, B., Wu, J., Li, R., Li, W., Ma, N., Kang, J., Wang, Y., Tian, J., Dai, J. (2022). Experimental research on the convective heat transfer coefficient of photovoltaic panel. Renewable Energy, 185: 820-826.‏ https://doi.org/10.1016/j.renene.2021.12.090

[35] Kudelas, D., Taušová, M., Tauš, P., Gabániová, Ľ., Koščo, J. (2019). Investigation of operating parameters and degradation of photovoltaic panels in a photovoltaic power plant. Energies, 12(19): 3631.‏ https://doi.org/10.3390/en12193631

[36] Gholami, A., Ameri, M., Zandi, M., Ghoachani, R.G., Gerashi, S.J., Kazem, H.A., Al-Waeli, A.H. (2023). Impact of harsh weather conditions on solar photovoltaic cell temperature: Experimental analysis and thermal-optical modeling. Solar Energy, 252: 176-194.‏ https://doi.org/10.1016/j.solener.2023.01.039

[37] Strevel, N., Trippel, L., Gloeckler, M. (2012). Performance characterization and superior energy yield of First Solar PV power plants in high-temperature conditions. Photovoltaics International, 17(3): 148-154.‏