Modeling the Performance of Amorphous Silicon in Different Typologies of Curved Building-integrated Photovoltaic Conditions

Photovoltaic cells are a significant renewable energy source due to their cheap cost and renewability. In both warm sunny and colder and cloudier conditions, a-Si modules outperform c-Si modules on a normalized energy basis. This study investigated 1 m 2 of amorphous photovoltaic silicon on curved surfaces. The Taguchi and response surface methods were utilized to expand the model in real terms. Results demonstrated the technology gap in the use of silicon crystal photovoltaics is eliminated. The maximum power in the Taguchi method test is 59.87 W, while the minimum power is 57.84 W when the system is deployed on a flat surface, and the maximum power in the RSM Test is 61.14 W when the system is deployed on a hemispherical surface, and the minimum power is 56.6 W when the system is deployed on a flat surface. The minimal performance was 7.1% on a level surface. The flat surface produced 810 kWh, the cylindrical surface 960 kWh, and the hemisphere 1000 kWh. The NPV at Flat surface is $697.52, with a 34.81%, IRR and an 8.58-year capital return period. Hemisphere and cylindrical surfaces both get $955.18. The investment yield was 39.29% for cylindrical constructions and 40.47% for hemispheres. On the flat surface, doubling fixed investment improved IRR by 21.3%. The cylindrical system increased by 25.59% and the hemisphere by 24.58%. The developed simulation model is empirically evaluated using a MATLAB computer tool; the key findings from the validation procedure are reported in this study.


INTRODUCTION
Photovoltaic cells are a popular renewable energy source due to their cheap material costs, environmental friendliness, and recyclability. When installing solar cell modules, it is necessary to take into account environmental conditions such as ambient humidity, air dust, wind speed, and ambient temperature. Therefore, in order for photovoltaic cells to perform efficiently and widely, it is essential to build solar panels that are corrosion-resistant and long-lasting. In comparison to monocrystalline and polycrystalline silicon, amorphous silicon (a-Si:H) thin-film photovoltaic cells have a greater absorption coefficient and can absorb enough sunlight to generate high-efficiency solar cells with a 500 nm thickness [1]. In recent years, the development of solar energy systems has been powered by the fast rise of photovoltaic (PV) technology. Indeed, worldwide installed photovoltaic capacity surpassed 300 GW in 2016, equating to an annual energy production of 365-TWh. PV technology is being employed globally: in 2016, 24 nations surpassed the 1-GW power level, six countries exceeded the 10-GW mark, four countries exceeded the 40-GW mark (Japan 42.8 GW, Germany 41.2 GW, USA 40.3 GW), and China alone topped 78 GW [2]. Utility-scale applications will account for about 70% of annual PV additions by 2022, up from 55% in 2020. Although China's significant FITs for commercial and industrial PV projects increased the ratio of distributed projects from 25% in 2016 to nearly 45% in 2018, this trend reversed in 2019 [3]. In the last decades, photovoltaic (PV) technology has been drawing enormous attention worldwide. In the future, solar energy consumption is expected to increase due to further reductions in prices in solar cell technology [4,5]. Aside from the non-linear nature and environmental dependability of PV systems, the conversion of energy by PV panels is undesirable [6]. It is a positive step towards obtaining energy from light through the advancement of science. Thanks to further cost reductions and continuous policy support from 120 governments globally, PV capacity additions are forecast to expand to 162 GW in 2022 [7,8]. Despite the ongoing COVID-19 pandemic, the overall investments in solar energy increased by 12% to USD 148.6 billion (EUR 125 billion). In 2020, over 135 GW of new solar photovoltaic electricity generation capacity was installed increasing the total cumulative installed capacity to over 770 GW [2]. The quality of electricity and the various sources of supply are now seen as the core solutions of policymakers around the world. Fossil fuels fall from almost four-fifths of total energy supply today to slightly over one-fifth [9]. Some of the most challenging environmental problems are the production and usage of oil resources and greenhouse gases. Every year, non-renewable energy releases a megatonne of greenhouse gases (GHG) into the atmosphere [10,11]. In South Asia, the concept of using skin-based solar systems is on the increase. Building integrated photovoltaics (BIPV) is increasingly used as a primary or secondary energy source in buildings. Unique criteria for the proper efficiency of the BIPV cells need to be regarded. BIPV is one of the most promising contributors to net-zero energy buildings, while also increasing the aesthetic value of the built environment and Thermal and sound insulation properties [12]. The electrical power from the solar cells is increased by reducing the operating temperature, Like all other semiconductor devices, solar cells are sensitive to temperature. Increases in temperature reduce the bandgap of a semiconductor which leads to the decrease of the module efficiency and output power [13,14]. Using natural or forced ventilation systems is one of the most effective ways to lower the solar cell temperature and reduce efficiency. In addition, the solar system designer can position the solar cell in the direction of the wind at the correct position [15,16] . Iran's energy intensity index is up by a factor of 3. Developing countries can be expected to find themselves in a similar position. For developed countries, this index is about 0.3 [17]. An increasing human population and the need for energy usage, limitations and inability to react to refined petroleum products have increased the desire to use renewable energy, especially solar energy. Regardless of this, electricity demand per household has increased dramatically over 2007-2018 [18]. It is expected that this growth will occur until 2030 and that the slope will reach 60 percent [19]. In the supply of renewable energy and considered Iran's capacity, solar energy is environmentally sustainable, leading to non-CO2 generation; it also contributes to natural resource sustainability, land recovery, reduced power transmission lines, increased regional energy control, improved speed and cost-effectiveness of electricity transmission into rural areas [20]. Iran's Central Bank has reported that this sector's inflation rate was 10 percent a year based on the average inflation rate between 2011 and 2016 [21]. Research surveys have estimated that Tehran's sunny days and hours are about 313 days and 1742 hours a year, respectively. The increase from the southeast to the northwest of Iran is reduced, whereas it usually increases from the west to the east [22]. The irradiance map and statistical irradiance simulations show that irradiance level in clear air is theoretically high in Iran, including Yazd, Kerman, Tabas, Birjand, Iranshahr, Chabahar, Shiraz, Bam, Bushehr, and desert areas. However, building construction does not usually permit traditional solar systems with rigid modules [23]. The flexible solar cells can generate voltages of more than 50V. These circuits will contain appliances voltage requiring higher setup power in normal mode [24,25]. Major market trends are described as the inverter, module size, main power, and deployment and Balance of System (BOS) cost decline. With a cumulative annual growth rate of 200th Compound (CAGR), the cost of modules is forecast to decline from 260 cents/Wp in 2009 to 30 cents/Wp in 2018 [26]. The building's shape directly affects its energy use. Modern architecture regularly uses curved forms. They have a significant impact on the building's solar and energy performance, and may improve the internal environment. The curved shape is also used to silos, biogas tanks, greenhouses and structures. The Taguchi factorial experiment and response surface methods are used to improve the precision of the test and reduce the expense of testing and speed up the experiment [27]. Conventional solar panels involve the construction of glass panels that are usually not quite consistent with cylindrical geometric shapes [28]. One of the solutions to these problems is the development and production of solar systems focused on flexible panels that, in addition to supporting the architecture of the desired structures and sustaining the previous capabilities, are economical and provide the energy needs of the electrical equipment for these structures [29]. Rural electrification in Iran was started by using photovoltaic in 2006, first in Qazvin province and then in Gilan, Zanjan, Bushehr, Yazd and Kurdistan provinces [30,31]. Hydrocarbons dominate Iran's energy mix. Traditional thermal power plants run on natural gas and petroleum derivatives such gasoline and fuel oil. The remaining 2% comes from hydropower, nuclear, biofuels, and other renewables [32]. Solar power plants have the least capacity of the three grid-connected power plants (wind, biogas, and solar) mounted. Wind provides the majority of renewable energy capacity [29,30].
This property should enable a fair trade-off between the thermal and electrical performance of amorphous photovoltaics in a warm environment. This requires a trade-off between increased heat losses in the winter and lower PV cell temperatures in the summer. Consequently, we think that our research will contribute to the growing body of information about the performance of unglazed, uninsulated Amorphous Photovoltaic plants. This article focuses on the development, modeling, and early experimental validation of a flexible micro photovoltaic power plant with the goal of advancing the state of the art of amorphous photovoltaic silicon systems. The system is explained in full from a hardware standpoint, including both the sustainable and electrical aspects. Additionally, the software used to monitor and manage the plant is discussed. LabVIEW and MATLAB were used to simulate the system, and the simulation findings were compared to experimental data obtained over a 27-day period.

Technical analysis
The current and voltage data collection was obtained by implementing the flat, cylindrical, and spherical surfaces. Flexible layers with suitable depth and durability can cover any design and introduce more incredible energy with selected columns. The structural part of the buildings was created in SketchUp, and the temperature analysis was performed in ANSYS workbench software. The components involved in the solar energy system were modeled in flat, cylindrical, and hemispherical shapes and studied under actual conditions. Data from irradiance, temperature, humidity, wind speed were recorded every 30 minutes through the data logger and sent to LabVIEW software via USB-4711A device. A power meter measures and records the voltage, current, and output power of the systems. The Solar power conversion model based on flexible panels, as shown in Figure 1 includes: geometric arrangement on cylindrical, hemispheric and flat surfaces, flexible solar cell, battery block, irradiance meter, temperature sensor, humidity sensor, anemometer, voltage monitor, power amplifier, planning circuits, battery plugs and fuses, analog-digital converter. The intensity of solar radiation was measured with Multimetrix SPM72 Solar Meter with a maximum error of ± 5% (in the range of 0-1500 W/m 2 and ± 0.5 • C accuracy (in the range of -10 to 110 C), respectively. Moreover, the Ambient temperature and surface temperature of solar cells were measured using 16 complete circuits of lm35 sensor connected to USB4711A with 0.1 • C accuracy and an Extech AN200 Wind sensor with ± 5% accuracy in the wind speed range of 0.4 to 30 m/s. Table 1 summarized the flexible solar devices were used in agreement with the standards set out. Amorphous silicon (a-Si) element JNsolar3W-12v with three deposition junction points in a stainless polymer sheet and a lock diode is used to resist the leakage of the battery current to the solar module panel [35].
The most efficient matching layer provided by choice of 1 m 2 solar panels could be 9744 cm 2 . After removing the edges of the flexible solar panel, the photovoltaic section will be equal to 6996 cm 2 . To cover the cylindrical and hemispherical surfaces with a specified area, 16 flexible solar elements, a cylindrical and hemispherical structure with a particular area is required. A cylinder with a height of 84 cm and a radius of 18.5 cm, as well as a hemisphere with a radius of 39.38 cm, were designed and built for this purpose. Stress and strain analysis assisted in determining the space between the parts that  would avoid damage. The structural models were created in SketchUp and the thermal stress analysis in ANSYS Workbench showed a maximum strain of 0.041 mm in the radius direction. The strain was negligible, but to avoid rupturing the flexible parts, the contact distance was set at 2 mm. The maximum strain is 0.043 mm in the upper hemisphere. Therefore, a 2 mm contact distance was considered. The Microcontroller sends 16 temperature sensors per 50 milliseconds through a serial link and, until obtained by LabVIEW, shows them and stores them in an excel file per half-hour in a period. Fill factor (FF) is a parameter that, in conjunction with Voc and Isc, determines the maximum power from a solar cell. The FF is defined as the ratio of the maximum power from the solar cell to the product of Voc and Isc. The match principle is quantitatively similar to the current-voltage supply series, and the higher the amount, the greater the photovoltaic system's output. The fill factor is calculated on the surface according to Equation (1) [37,38]. The efficiency of a photovoltaic system is also one of the most critical external measurement items. Efficiency (η) is defined by Equation (2) [39].
where G equals the irradiance (W/m 2 ), St equals the array layer (m 2 ), and P equals the device power at the target point (W). Use that indexing relationship to measure the output power in shadow mode, temperature shifts, dust fall, light reflection and solar activity on the solar array. Excel 2019 and Design Expert 7 and Minitab 18 were included. In the end, the optimal power system was validated using the Taguchi and Response Surface Methodology (RSM).

Taguchi's and RSM
Factorial design is used for a variety of tests. Experiments are based on different factors and levels. Taguchi can find the optimal point of operation of variables using a factorial design. Two variables, signal-to-noise (S/N) and ratio (η, dB), can determine the quality of a test designed in Taguchi. A signal-to-noise ratio is a measure of robustness, which can be used to identify the control factor settings that minimize the effect of noise on the response. The signal-to-noise (S/N) ratio is calculated for each factor level combination. The formula for the nominal-is-best S/N ratio using base 10 log is present in the Equation (3) and the larger-is-better S/N ratio is shown in Equation (4) [40].
whereas n is the number of tests of the same level also with the goal of preserving the same S/N ratio at all times. The function level corresponding to the absolute average S/N ratio is considered the optimum level function. The expected value of the S/N ratio (ηopt) at the optimum parameter stage evaluated by Equation (5) is as follows [40]: If ̅ is the mean S/N ratio of all experimental conditions, k is the number of critical parameters, and is the mean S/N ratio of the i ℎ control factor corresponding to the optimal process point.
The test phase is divided into three parts: flat, cylindrical and spherical surfaces. Flexible solar panels are connected in series and off-grid from the mains with battery backup. Climatic data for the 27-day test was collected from the Meteorological Station and direct measurement instruments linked to the LabVIEW program. Table 2 shows the test factors and levels in the Taguchi and RSM designs. For this test, 4 variables were chosen: irradiance power at three levels, temperature, wind speed, and flexibility at 3 levels. The irradiance variable is rated from sunrise to sunset from 200 W/m 2 to 1100 W/m 2 . The Taguchi test design and RSM method were analyzed based on maximum power generation capacity. Modeling in this test is evaluated based on the criterion "more power is better".
The relation between input and output values can be defined with x and y in energy systems design. A model can then be found in literature [40], where ε characterizes the noise or error reported in y output. When we indicate the output results as: The Box-Behnken model design can include flat, cylindrical, and hemispheric surfaces. The model can be designed as follows in a flexible solar system:

Economic analysis
By analyzing the model's components, engineering economics will decide the rejection or acceptance of a project. COMFAR software has been used in this research, with the complexity of the system's economic variables and technological variables. The parameters used in the economic efficiency analysis for engineering economics are:

Net present value (NPV)
Considering the economic time adjustment, this criterion creates an equilibrium between investment payments and income generated by investment implementation. This interest is referred to as "minimum attractive interest" or "capital cost". The present value as a set of future cash fund flows is calculated by the Equation (9): NCF is equal to the net cash funds where its NPV is the net present value, r is the discount and i is proportional to the financial period. NPV may be a negative number (not selecting any project) or a positive number (project selection). If NPV is equal to zero, then the designer will be indifferent to choosing whether to select a project or not.
Benefit cost ratio A benefit cost ratio (BCR) is a ratio used in a cost-benefit analysis to summarize the overall relationship between the relative costs and benefits of a proposed project. BCR can be expressed in monetary or qualitative terms. If a project has a BCR greater than 1.0, the project is expected to deliver a positive net present value to a firm and its investors. Where, BCR = Benefit Cost Ratio and PV = Present Value, The benefit cost ratio is calculated by dividing the present value of benefits by that of costs and investments [41]. The present value of benefits is calculated as the sum of discounted benefits. To determine this sum, all inflows in a period (i.e. cash flows considered as benefits) need to be discounted with one plus the discount rate i to the power of the period. This calculation needs to be performed for every period. The present value of costs is calculated analogously that of the benefits. The difference is that for this figure, the outflows are considered as representing costs, rather than the inflows. BCR is calculated by Equation (10).
Internal rate of return (IRR) IRR is a well-known criterion in terms of projects' economic evaluation. This criterion specifies that greater IRR than the cost of capital is the project's acceptance term. IRR stands for the discount rate based on which the NPV of the project is zero. If a project's NPV becomes positive, its IRR is greater than the return rate applied on investment. In NPV calculation, it is assumed that the discount rate is apparent, while the NPV of the project ought to be determined. The deposit interest rate (sight deposit) in Iran has freshly reduced to 15%. However, in the last 10 years, it has equated to 16.7%, regarded as the benchmark discount rate. According to the Iranian parliament's legislation, each kilowatt of renewable electricity is purchased from the consumer at ~0.05 $/kWh. This price is supposed to be 20 years of the solar system's useful lifetime [42]. Dehghan et al. [27] have considered the different feed-in tariff (FiT) rate to be 0.05 $/kWh. In addition, the project's NPV is set to zero and the discount rate, which is the same as the project's IRR, is determined. The calculation of the IRR is based on the NPV which can be expressed as a function of the IRR. Equation (11) uses cash flows at regular intervals for the calculation of IRR.
where CFi is cash flow in the time period, r is discount rate, i is time period and Cinv is initial investment. The IRR is the compounded discount rate for a given series of cash flows that leads to an NPV of 0. IRR calculate by COMFAR through trial and error because you are trying to arrive at whatever rate which makes the NPV equal to zero.

Payback period (PBP)
Using the criterion of payback period, the period in which the sum of annual revenues is broken even with the investment cost is specified. The payback period involves normal and dynamic payback periods. In general, the product produced by this project is electricity, which flexible solar systems generate electricity at nominal production capacity. The PBP can be calculated using Equation (12) for each year [43].
where Cinv is initial investment and Ccf is net annual cash flow. Project fabrication duration, including the purchase and installation of equipment, has been intended for one year. The lifetime of the system is 20 years.

RESULTS AND DISCUSSION
JNPsolar3W-12V flexible solar arrays generate flexible solar energy systems by fitting them to flat, cylindrical, and hemispheric base surfaces. The implemented model tested such systems theoretically and economically. The short-circuit current and the open-circuit voltage are the maximum current and voltage respectively from a solar cell. However, at both of these operating points, the power from the solar cell is zero. The shape of I-V curve changes with the change in Fill Factor of solar cell which has been shown in Figure 2. By measuring the number of variances and its source of generation, the best output conditions were simultaneously predicted in systems, which is one of the advantages of using the Taguchi test method for solar energy systems. The minimum values of FF were calculated as 0.73 for the flat surface and 0.88 and 0.84 for the cylindrical and hemispherical surfaces, respectively. The more significant fill factor for systems supports the power controller to take more voltage and power distribution. The relationship of temperature, radiation and flexibility variables at the optimum level is studied in the proposed model. When the radiation is at level one, the device will begin to operate. Irradiance ranges between 400 W/m 2 and 600 W/m 2 ; then, the effectiveness is a little diminished, but it is still optimal for the system and satisfies the objective. More than 1000 W/m 2 of irradiance will have a negative impact on system performance. With an overall view of the irradiance power and the SNR band, it can be shown that irradiance intensity may substantially affect the function of the electrical power generation capacity through distancing itself from the center line and high failure.
The temperature in the latter group and the temperature level (3) had the most significant impact on the performance of the solar energy device. Incoming wind speed from level (1) to level (2) was useful for the subsystem and could change the conditions to produce power at extremely high temperatures. Flexibility or angles of the photovoltaic solar panels has shown that the change in this element, including the usage of the system in flat style (level 1) or when installed on a spherical surface (level 2) or on a cylindrical surface (level 3), may affect the production of the full power objective. The system angle group and the SNR revealed that level (1) defined as the flat surface layer might significantly affect the solar system. The application of the system at level (2), i.e. the application of the system to the spherical surface, considering its proximity to the middle power line goal, is more efficient than the levels (1) and (3). Level (3) indicated that the application of the method to a cylindrical surface is more efficient than a flat surface, but the optimum output is at level (2). The use of the process on the roof in flat styles, such as bitumen, is therefore not taken priority. When a system needs both grain silos and biogas reservoirs in a farm simultaneously, the operation of the device under these conditions would be superior to the hemisphere level, which implies the biogas reservoir. The largest effect on the function of the flexible photovoltaic system, is related to the rate of irradiance, wind speed, temperature, and use on various such as flat, cylindrical and spherical materials. In the present experiment, Taguchi's study found that if the device were evaluated at chosen levels based on the optimal manufacturing process and variables, it would be possible to predict a combined power of 49.9W with SNR = 33.929. If the function is measured separately and on a fully flat surface strength of the function, it would be equal to 53.3W with SNR = 34.4918. When the model was used to calculate the power on the cylindrical level, the device's power was equal to 54.05W with SNR = 34.6368; for the hemispheric level, the corresponding power of 55.7W with SNR = 34.888 was measured. The choice of the hemispheric surface is then classified into first and second-level cylinder points. According to the Taguchi experiments, the dynamic conditions applied to the flexible solar system indicate the ideal conditions for the use of a flexible panel-based solar conversion system. Priority will therefore be given to the use of a solar energy conversion solution based on flexible solar panels at various stages, as described below: • These systems have good performance in the range of 500 to 800 W/m 2 . If the ambient temperature is between 20 and 30 °C, there will be no fall in performance due to the temperature on the cylindrical surface. • For the next selection of the hemisphere's surface, it is best to have a consistent temperature, radiation, and wind speed parameters. The second level of radiation is 500-800 W/m 2 and the first level of temperature is 20-30 °C and the first level of wind is 0-1 m/s. • The third choice for use of systems is for higher radiation up to more than 1000 W/m 2 in the middle of the day. This condition can occur in areas closer to the equator. The third level of radiation is 800-1100 W/m 2 and the first level of temperature is 20-30 °C, whereas the third level of wind is 2-3 m/s on the flat surface.

Costs of BIPV in Iran
After modeling the power of the systems using the variables A. Irradiance and B. Ambient Temperature, D. Surface Temperature C. Humidity E. Wind, the power equation of each system could be determined at any time of year by using weather conditions and irradiation. The systems' production capacity is calculated over the period of a year. Performance-based flexible systems at their maximum power production conditions can have other revenues when deployed on different surfaces. The flat surface system produced 810.369 kWh, the cylindrical surface 960.124 kWh, and the hemisphere surface 1000.165 kWh. Total Revenue Per Year can be calculated for each system if the feed-in tariff is set at $0.05 Per kWh. The cost (fixed price) of small-scale flexible photovoltaic panels is 0.8 $/W. Therefore, 56 Watts is equal to $ 44.8 in 2020. Thin-film technology has always been cheaper but less efficient than conventional c-Si technology. However, it has significantly improved over the years. Also, in addition to the panel, other equipment is also used in the flexible photovoltaic systems. The total cost of a flexible photovoltaic system including the purchase of panels, installation costs, etc. is estimated at $ 181.78 according to the standard in current photovoltaic projects. Unforeseen costs included glue costs for reposing panels to surfaces, maintenance costs, and soil cleaning. The 20-year maintenance life of the solar system was estimated at $ 20 per year. Sensitivity analysis is a calculation procedure that predicts the effects of changes on input data. Investment decisions are wracked with uncertainty and risk. Most investment models have explicit and implicit assumptions about the behaviors of models and the reliability and consistency of input data. If the changes made to the variables do not eliminate the project's justifiability, the investment will be much more favorable. In order to take into account factors not considered or the risk of agents endangering the return of the project, the sensitivity level of the project's indicators to these factors was estimated roughly. As shown in Figure 3, the irradiance peak is reached 1067.1 W/m 2 .
In the cylinder, one side of the shadow and one side of the irradiance are usually present. For at least 3 hours, the irradiance will be greater than 735 W/m 2 . It is likewise at its peak in the middle of the day. At sunset, the irradiance will be at its lowest and will finally hit zero. After sunrise, the irradiance power on the south side of the test cylinder increased with a gentle slope, reaching a The maximum power (MP) in Taguchi Method Test is related to the system deployment on the cylinder facade and is equal to 59.87 W, while the minimum power of 57.84 W is related to the system when deployed on the flat surface, and maximum power in RSM Test is relevant to the system deployment on the hemispherical (H) surface and equal to 61.14 W and minimum power of system is 56.6 W when related to the extent on the flat surface. The system's performance (SP) under standard test conditions (STC) (25 °C and irradiance power of 1000 watts per m 2 ) and in the laboratory for deploying on the cylinder and hemispherical facades has been measured 7.45%. The winter solstice occurs during the hemisphere's winter. In the Northern Hemisphere, this is the December solstice (usually December 21 or 22) and in the Southern Hemisphere, this is the June solstice (usually June 20 or 21). The minimum performance was measured at 7.1% and related to the flat surface. In the model analysis, the open-circuit voltage at the flat system level was equal to 185.7 volts and the short-circuit current reached 0.347 in the most optimum scenario. Furthermore, the maximum production current was 0.36 amps when the system was deployed on the hemispherical surface. Therefore, the system in the case of deployment on the hemispherical surface by receiving diffusion irradiances and vertical irradiances has optimal electrical and quality characteristics compared to other deployment surfaces. The second and third priorities are related to the cylindrical and flat surfaces, respectively.
This study has shown that using an experimental design of Taguchi and RSM can explain the big data of solar energy systems. When the actual test data in these models will verify the correct orientation of the model. The irradiance and wind speed factors have a positive effect on the system power, whereas the temperature factor has a negative impact. the optimum power in the cylindrical surface is 60.27 Watts, once the ambient temperature is about 36°C and radiation is 1050 W/m 2 , and the wind speed is zero, and the humidity is equal to 48.1%. Figure  4 shows the sensitivity analysis of systems. The sensitivity analysis figure showed the impact of changing economic parameters by a variation percentage (decrease or increase) on the Internal Rate of Return (IRR). In all three systems, solar energy sales revenue has the greatest impact on investment attractiveness and IRR. This factor has a nearly equal slope. The investment attractiveness and IRR share of the flexible photovoltaic system are related to its use on flat, cylindrical, and hemisphere surfaces, respectively. The increase in fixed assets of systems is the next factor that investors consider. Because of the long life of a flexible photovoltaic system and the low cost of maintenance and other costs, the operating cost factor plays a minor role in these systems' investment decisions. The economic findings show that the NPV of the flexible solar energy system at 16.70%, when applied at level 1, is $ 697.52 and that the IRR is 34.81% and the capital return duration is 8.58 years. This amount is increased to $ 900.88 in cylindrical surfaces and $ 955.18 in hemispheres. The rate of return on investment was 39.29% at the cylindrical level and 40.47% at the hemisphere. In the flat-surface production method, a 20% rise in project budget raised the internal yield by 21.3% and a 20% fall in sales. The project's internal rate of return would be reduced by 23%. Flexible solar systems installed on cylindrical and hemispheric surfaces with a 20% rise in project prices, with the IRR rising by 25.59% and 24.48%, respectively. During the production time and deployment of flexible solar systems, the net flows were negative and when installed on cylindrical and hemispheric surfaces, from 7.2 years and 6.9 years to the end of the design period, the total net product flows were positive and constantly expanding. The description of the results is listed in Table 3.

CONCLUSION
We employed the actual capability of flexible solar energy conversion in this study, which was conducted utilizing environmental evaluation and environmental techniques centered on pilot projects. Annual energy production on the flat surface was 810 kWh, cylindrical surface 960 kWh, and hemisphere surface 1000 kWh. This shows that the findings were valid concerning RSM analysis. The system output current was limited to 0.36 amps when deployed on the hemispherical surface. Using Taguchi methods, research revealed that the influence of power production factors was surface temperature, irradiation, ambient temperature, wind, and humidity. The economic results indicate that NPV at Flat surface is $ 697.52, with an IRR of 34.81% and a capital return term of 8.58 years. Cylindrical surfaces and hemispheres each see an increase of $ 955.18. The investment yield returned 39.29% for cylindrical structures and 40.47% for spherical structures. Consequently, the order of economy in the systems would also be connected to a compact solar system installed on hemispheric, cylindrical and flat surfaces. The following can be stated as a general conclusion. In order to minimize the temperature decrease, the device must be mounted in place of the wind blinds. Radiation and temperature levels are higher than normal. A sensitivity analysis was performed to verify the economic analysis. It is proposed that modular systems be used in flags, towers, conventional structures, biogas tanks, grain storage silos, etc. It is preferable to install electrical systems on one side of the building, which is the largest average of shade. It is recommended that compact structures be used in regions similar to the equator and desert zones.