Estimation of Solar Radiation on Tilted Surface by Using Regression Analysis at Different Locations in India
This study is to find the regression model for estimation of monthly mean hourly global solar radiation on tilted surface at different locations of India. This study is quite precious due to lack of solar radiation data availability on the tilted surface. Firstly, we have selected some locations having different climatic conditions such as New Delhi, Mumbai, Kolkata, Lucknow and Jaipur to find the solar radiation on tilted surface using Liu and Jordan model, HDKR model and Perez model. The mean values of these models are plotted along with the daytime. Based on regression techniques, four empirical models are developed which are tested to compute the solar radiation on tilted surface for three new stations Ahmadabad, Bangalore and Chennai. The estimated solar radiation by these four developed models are compared with the estimated values using existing models Lie & Jordan, HDKR and Perez based on mean bias error (MBE) and root mean square error (RMSE). It has been found that developed Model-3 has minimum error and the values estimated this model is comparable to existing models. The maximum values of RMSE in Model-3 in tested stations are 2.01% with Liu and Jordan, 2.63% with HDKR and 2.10% with Perez. Similarly, maximum values of MBE are −1.79% with Liu and Jordan, −2.27% with HDKR and −1.89% with Perez. Now the Model-3 finally selected to determine the solar radiation on Bhopal, Bhubneshwar, Dehradun, Guwahati and Trivendrum (Thiruvananthapuram).
. Danandeh, M.A., Mousavi, G.S.M., 2018, “Solar irradiance estimation models and optimum tilt angle approaches: A comparative study,” Renewable and Sustainable Energy Reviews, 92, pp. 319-330
. Duffy, J.A., Beckman, W.A., Solar Engineering of Thermal Processes, 2013, John Willey & Sons, NY.
. Liu, B.Y., Jordan, R.C., 1960, “The interrelationship and characteristic distribution of direct, diffuse and total solar radiation,” Sol Energy, 4, pp. 1–19.
. Shukla N.K., Rangnekar S., Sudhakar S., 2015, “Comparative Study of Isotropic and Anisotropic Sky Models to Estimate Solar Radiation Incident on Tilted Surface: A Case Study for Bhopal India,” Energy Reports, 1, pp. 96-103.
. Pandey, C., Katiyar, A., 2014, “Hourly solar radiation on inclined surfaces,” Sustainable Energy Technology Assess, 6 pp. 86–92.
. Efim, G., Evseev, Avraham, I., Kudish, 2009, “The assessment of different models to predict the global solar radiation on a surface tilted to the south,” Solar Energy, 83 pp. 377–388.
. Jafarkazemi, F., Saadabadi, A. S., 2013, “Optimum tilt angle and orientation of solar surfaces in Abu Dhabi, UAE,” Renewable Energy, 56 pp. 44-49.
. Jamil, B., Siddiqui, T.A., Akhtar, N., 2016, “Estimation of solar radiation and optimum tilt angles for south-facing surfaces in Humid Subtropical Climatic Region of India,” Engineering Science and Technology, an International Journal, 19(4) pp. 1826-1835.
. ASHRAE Handbook, 2009, Climate Design Data.
. Takilalte A., Harrouni S., Yaiche R.M., Mora-Lopez L., 2020, “New Approach to Estimate 5-min Global Solar Irradiation Data on Tilted Planes from Horizontal Measurement,” Renewable Energy, 145 pp. 2477-2488.
. Khahro, F.S., Tabassum, K., Talpur, S., Alvi, B.M., Liao, X., Dong, L., 2015, “Evaluation of solar energy resources by establishing empirical models for diffuse solar radiation on tilted surface and analysis for optimum tilt angle for a prospective location in southern region of Sindh, Pakistan,” Electrical Power and Energy Systems, 64 pp. 1073-1080.
. Chegaar, M., Chibani, A., 2001, “Global solar radiation estimation in Algeria,” Energy Conversion and Management, 42 pp. 967–973.
. El-Sebaii, A., Trabea, A., 2005, “Estimation of global solar radiation on horizontal surfaces over Egypt,” Egypt J Solids, 28 pp. 163–175.
. Supit, I., Kappel, A., Van, RR., 1998, “Simple method to estimate global radiation,” Solar Energy, 63 pp. 147–60.
. Song Z., Ren Z., Deng Q., Kang X., Zhou M., Liu D., Chen X., 2020, “General Model for Estimating Daily and Monthly Mean Daily Diffuse Solar Radiation in China’s Subtropical Monsoon Climatic Zone,” Renewable Energy, 145, pp. 318-332.
. Makade G.R., Chakrabarti S., Jamil B., 2019, “Prediction of Global Solar Radiation Using a Single Empirical Model for Diversified Locations Across India,” Urban Climate, 29, pp. 100492.
. Sabziparvar, A.A., Shetaee, H., 2007, “Estimation of global solar radiation in arid and semi-arid climates of East and West Iran,” Energy, 32 pp. 649–55.
. Jacovides, C., Tymvios, F., Assimakopoulos, V., Kaltsounides, N., 2006, “Comparative study of various correlations in estimating hourly diffuse fraction of global solar radiation,” Renewable Energy, 31 pp. 2492–2504.
. Wu, G., Liu, Y., Wang, T., 2007, “Methods and strategy for modeling daily global solar radiation with measured meteorological data – a case study in Nanchang station, China,” Energy Conversion and Management, 48 pp. 2447–2452.
. Sen, Z., 2007, “Simple nonlinear solar irradiation estimation model,” Renewable Energy, 32 pp. 342–350.
. Bulut, H., Buyukalaca, O., 2007, “Simple model for the generation of daily global solar radiation data in Turkey,” Applied Energy, 84 pp. 477–491.
. Janjai, S., Pankaew, P., Laksanaboonsong, J., 2009, “A model for calculating hourly global solar radiation from satellite data in the tropics,” Applied Energy, 86 pp. 1450–1457.
. Othman, B.A., Besbes, M., 2018, “Global solar radiation on tilted surface in Tunisia: Measurement, estimation and gained energy assessments,” Energy Reports, 4 pp. 101-109.
. Yu Xie, Chenxi Wang., 2019, “A Fast, All-sky Radiation Model for Solar applications with narrowband irradiances on Tilted surfaces (FARMS-NIT): Prat II. The cloudy-sky model,” Solar Energy, 188 pp. 799-812.
. Obiwulu, U.A., Nwokolo, C.S., 2020, “Implicit meteorological parameter-based empirical models for estimating back temperature solar modules under varying tilt-angles in Lagos, Nigeria,” Renewable Energy, 145 pp. 442-457.
. Shen, Y., Wang, X., 2018, “Impact of solar radiation variation on the optimal tilted angle for fixed grid-connected PV array-case study in Beijing,” Global Energy Interconnection, 1 pp. 460-466.