Estimation of Solar Radiation on Tilted Surface by Using Regression Analysis at Different Locations in India

  • Abdul Qadeer Department of Mechanical Engineering, F/o Engineering & Technology, Jamia Millia Islamia, New Delhi, India
  • Mohammad Emran Khan Department of Mechanical Engineering, F/o Engineering & Technology, Jamia Millia Islamia, New Delhi, India
  • Shah Alam University Polytechnic, Jamia Millia Islamia, New Delhi, India
Keywords: Solar radiation, tilted surface, regression analysis, RMSE, MBE


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).

Author Biographies

Abdul Qadeer, Department of Mechanical Engineering, F/o Engineering & Technology, Jamia Millia Islamia, New Delhi, India

Abdul Qadeer is a Ph.D student at Jamia Millia Islamia, New Delhi, India since 2017. He attended Maharshi Dayanand University, Rohtak, Haryana, India where he received M.Tech in Thermal Engineering in 2015. He attended Chandra Shekhar Azad University where he completed his B.Tech in Mechanical Engineering in 2009. He also served as lecturer in mechanical engineering department in Al-Falah School of Engineering and Technology (AFSET) from 2011 to 2013. Thereafter he is serving as assistant professor in mechanical engineering department in Al-Falah University from 2015.

Mohammad Emran Khan , Department of Mechanical Engineering, F/o Engineering & Technology, Jamia Millia Islamia, New Delhi, India

Mohammad Emran Khan received his Ph.D degree in mechanical engineering in 1997 from Delhi University, New Delhi, India. He completed his M.Tech in energy studies from I.I.T Delhi, New Delhi, India in 1992. He also completed his B.Sc engg (Mechanical) from A.M.U Aligarh, Aligarh, India in 1984. He served Jamia Millia Islamia as a lecture 1985 to 1995, as a reader from 1995 to 2003, now he is working as a professor in Jamia Millia Islamia 2003 to till date. He also served as member of task force on “Waste to energy project” by Planning Commission of India. Also served as member of National Board of Accreditation (NBA) of AICTE as expert for mechanical engineering discipline.

Shah Alam, University Polytechnic, Jamia Millia Islamia, New Delhi, India

Shah Alam received his Ph.D degree from I.I.T Delhi in 2006. He also received his M.Sc. and B.Sc. Engineering degree from A.M.U Aligarh in 1993 and 1990 respectively. he also served as lecture from 1995 to 2000, Sr. lecture from 2000 to 2005 and Sr lecturer (SG)/reader from 2005 to 2007 at university polytechnic Jamia Millia Islamia. He also served as assistant professor in International Islamic University Malaysia from 2007 to 2008. He returned back to University polytechnic, Jamia Millia Islamia as Associate Professor from 2008 to till date.


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