Optimize and Develop of Empirical Correlations Models of Solar Energy on Horizontal and Tilted Surface over Saudi Arabia
Khalil SA
Published on: 2023-01-11
Abstract
Solar radiation data are essential in the design of solar energy conversion devices. In this regard, empirical models were selected to optimize the solar radiation on horizontal and inclined surfaces. The measured data in this article were used during 25 years of solar radiation over Jeddah, Saudi Arabia from 1992-2016 to optimization and developing a new empirical correlations on horizontal and inclined surfaces. The maximum solar radiation occurs in summer and spring months, while the minimum solar radiation occurs in winter months. The solar irradiance measurements strongly affected by cloud. Surface estimations of the diffuse segment of sun powered irradiance are especially touchy to overcast cover. Starting from cloudy days in the morning, the dark clouds gradually dissipate throughout the afternoon to the evening, until the dark clouds are completely cleared. The statistical indicators of main base error MBE, root mean square error RMSE, mean percentage error MPE and t-state are done. The values of correlation coefficients (R2) are higher than 0.98 and the values of the RMSE are found the range 1.95– 4.65. The both (Rb) and (Rt) decrease with increasing tilted angle (β) during the summer months, while during winter months, (Rb) and (Rt) are increase with increasing (β) until an optimum value beyond which the behavior is reversed. The high tilt is required to meet the energy demand in the winter months when the insolation on a horizontal surface is usually low. The results revealed that the (β) varies with the month of the year. The revealed results indicate that the daily (β) varies from 58.5° in January to 0.5° in May months, but the values of (β) were negative for the period from May to August months. Isotropic, Perez, Hay, and Klucher models, so anisotropic models Hay, Klucher, and Perez models are basically in a predictive state, and generally have similar performance, that is, the irradiance incident on the inclined surface. The observation results of the Perez model and the Klucher model describe the irradiance at tilt more accurately than other models. The results of this study are similar to previous studies [65,66].
Keywords
Solar energy; Models; Isotropic Models; Anisotropic Models; Inclined SurfaceIntroduction
The solar energy that reaches the outer atmosphere will be absorbed, reflected and transmitted through the atmosphere before reaching the earth's surface. Solar radiation data is the basic input for solar applications, such as photovoltaics, solar thermal systems, and passive solar designs. This information should be reliable and easy to use in the design, optimization and performance evaluation of solar energy technology in any particular place, and radiation is extremely important for the optimal design of solar energy conversion equipment [1-3]. The entire radiation on the amount is termed the global irradiance that is that the total of the incident diffuse radiation and the direct traditional irradiance projected on the amount. If the surface is inclined with relevancy the horizontal plane, the overall irradiance is that the incident diffuse radiation and the direct traditional irradiance projected on the inclined surface and the bottom mirrored irradiance incident on the inclined surface [4].
Solar radiation data is usually measured within a certain range of levels and the overall radiation range. The necessary condition for calculating the radiation incident on the inclined surface is to determine the relative amount of the beam, and therefore the scattered radiation contained in the measured horizontal global radiation. The solar collector is tilted to maximize solar energy collection. Therefore, it is important to determine the best angle to collect the maximum solar energy [5]. The tracking system follows the direction of the sun as the sun sweeps across the sky every day to maximize the radiation incident on the surface of the collector. If a two-axis tracking system is used instead of a hard and fast collector, the radiation incident on the collector will obtain a gain of 40% [6, 7]. The amount of solar energy incident on the solar pan in various time frames can be a complex function of many factors, including the local radiant climate, the orientation and inclination of the exposed collector surface, and the ground reflection characteristics. The performance of a solar cell is greatly affected by its orientation and the angle of inclination from the horizontal. This is usually due to the fact that both orientation and angle will change the radiation reaching the collector surface [8,9].
In the 21st century, engineers and designers increasingly rely on building energy efficiency simulation codes to design more energy efficient buildings. One of the common features found in new commercial buildings across Europe is therefore buildings with large glass curtain walls. It is very important to accurately model the effects of solar radiation through glass, especially in simulations. The measured solar values ??are usually used to develop solar models, which describe the mathematical relationship between solar energy and meteorological variables (such as ambient temperature, humidity, and sunshine rate), and in the past few years, many authors have proposed the following models of predict radiation on inclined surfaces [10, 11]. Many of these models are applicable to specific situations. Some require special measurements, while others have limited range. These models use equivalent methods to calculate beams on inclined surfaces and ground reflected radiation. The only difference is in the treatment of scattered radiation. The approximate value usually used to convert the value of the diffuse reflection component to the level of a certain oblique component is that the sky radiation has the least number of isotropic distributions [12-14]. However, the theory also as an experimental result shows that this simplified hypothesis is usually far from reality [15]. Therefore, it looks that sky radiation ought to be thought to be anisotropic, particularly because of the sturdy forward scattering result of aerosols [16-19]. There square measure many empirical models that can't estimate star radiation; use offered geographic, climatically and meteorological parameters, like temperature, sunshine length, latitude, longitude, precipitation, wind speed, and cloudy sky [20-25]. The foremost normally used parameter for estimating total radiation is that the length of sunshine. During this regard, folks have wide compared the changed version of metric linear unit equation with varied correlations to estimate the general radiation level [26-29].
In most solar applications, inclined surfaces with different angles are widely used. Many weather stations around the world measure the solar irradiance at a certain level, but only a few stations can measure the solar component on the slope. There are a variety of models that can estimate the solar radiation on the slope based on the corresponding horizontal data [30-32]. Usually, this requires detailed information about the magnitude of scattering and direct horizontal irradiance. As shown in [33-36], various diffusion fraction models can be used. These models are usually expressed by a polynomial function that relates the diffusion score to the transparency index [37-40].
Many solar energy models have been proposed in the literature using mathematical linear and nonlinear functions, artificial neural networks and symbolic logic [41-44]. A key aspect of modeling solar energy is that the accuracy of the developed model is evaluated using statistical errors (for example, mean absolute percentage error (MAPE), mean deviation error (MBE), and root mean square error (RMSE)). MAPE is an indicator of accuracy. During this period, MAPE expresses the difference between the actual value and the predicted value as an important value. For each fitted or predicted time point, add the calculated MAPE and then divide by the number of fitted points; MBE is an indicator of the typical deviation between the predicted value and the measured data. A positive MBE value means that it is overestimated within the predicted total solar energy range, on the contrary, it is around [45-49]. Instead, RMSE provides information about the short-term performance of the model and can measure changes in the expected value surrounding the measured data. RMSE also shows the efficiency of the developed model in predicting future personal value. A positive RMSE value means that there is a huge deviation between the predicted value and the measured value [50-53]. This work involves the best slope and direction of the surface that receives the most radiation, and we should always be ready to determine the best slope of the collector at any latitude, any surface azimuth, and any day of the year. Therefore, this research aims to develop a strategy to calculate the best angle (βopt.) for any position within a word. In addition, our goal is to use this method by calculating the best angle in the most Saudi regions (especially Jeddah). We first measure the level of total radiation and scattering levels received per hour [54, 55]. These quantities are then transferred to the machine through a mathematical program. The optimal angle is calculated by checking the following values: in a specific day or a specific time period, the entire radiation on the collector surface may be the maximum [56-59].
The main purpose of this research is to optimize and develop empirical correlations to use the available meteorological data to predict the typical monthly daily of global and diffuse radiation at the level of Jeddah, and to calculate the number of days on the tilted surface south of Jeddah All of it radiates Arabia.
Data And Climate Of The Selected Site
In this study, the total, direct and diffuse solar radiation incident on the horizontal plane of Jeddah, Saudi Arabia during the period time from 1992 to 2016 (latitude 210 42'N & Long. 390 11'E) was used. The radiation data for the corresponding period was obtained from Saudi Arabia’s Meteorological and Environmental Protection Agency (MEPA). The data set used consists of hourly and daily averages of total solar radiation and scattered solar radiation on the horizontal plane. An Eppley high-precision pyranometer that can respond to 300-3000 nm is used to measure total solar radiation, and another precision pyranometer equipped with a special shading device SBS model is used to measure scattered radiation. The shadow band holder is made of anodized aluminum, weighs about 24 pounds, and uses 300 bands with a diameter of about 2500 to cover the entire radiometer. Because the shadow band blocks a part of the incident scattered radiation from the sky, the measured value is corrected according to the method of Batlles et al. The Eppley Precision Spectral Pyranometer (PSP) records the total solar radiation data at all locations. According to the classification of the World Meteorological Organization [60], the accuracy of these pyranometers is equivalent to the first level. These instruments are calibrated annually against reference instruments that can be traced back to the World Radiation Reference (WRR) maintained by Davos, Switzerland [61, 62]. According to the manufacturer’s calibration certificate, the sensitivity is approximately 9 µV/W m-2, in the ambient temperature range of -20 to +49 0C, the temperature dependence is ±1%, and the linearity is in the range of 2800 W m-2 ±0.5%, the cosine is ±1% of the normalized 0-700 zenith angle, and normalized to ±3% of the 70-800 zenith angle. The absolute accuracy of calibration is ±3-4%. Saudi Arabia may be a country in Southwest Asia, encompassing approximately four fifths of the Middle East peninsula between 160 and 330N and longitude 340 and 560E. Saudi Arabia has the world's largest persistent desert, Al-Rub Al-Khali (clearance zone). The desert spring water environment of Al-Ahsa involves most of the eastern region. KSA is very suitable for converting solar energy into capital. The annual average daily solar radiation level reaches 6 kWh/m2, and the proportion of sunny days is 80-90%. The annual solar radiation level exceeds 2400 kWh/m2 [63]. Jeddah is an important city Hejaz Vilayet (Hejaz Vilayet), the Kingdom of Hejaz and other ordinary political materials that appear in the history books of Hijaz. Jeddah is in a dry environment under the climate shift arrangement of Koppen's, in the tropical temperature range. Jeddah maintains a warm temperature in winter, and the temperature in summer is incredibly annoying. In addition to the daunting sultry heat, there is concentrated dew. In this study, the average high and low temperatures of Jeddah during this period are obvious in Figure (1), while the average sea temperature of Jeddah, Saudi Arabia is obvious in Figure (2). In this study, the number of daytime/sunlight hours and average humidity in the selected time period are shown in Figures (3 & 4) [63].
Figure 1: shows the mean high and low temperature in Jeddah.

Figure 2: shows the average sea temperature in Jeddah.

Figure 3: shows the mean daylight/sunshine hours in Jeddah.

Figure 4: shows the average humidity in Jeddah.
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