Research Papers

Season Specific Daily Diffuse Solar Radiation Fraction Parameterizations for India

[+] Author and Article Information
Jyotsna Singh

Discipline of Physics,
School of Chemistry and Physics,
University of KwaZulu Natal,
Westville Campus, Private Bag X54001,
Durban 4001, South Africa
e-mail: jsinghenv@gmail.com

Manoj Kumar

Centre for Environmental Sciences,
Central University of Jharkhand,
Ratu-Lohardaga Road Brambe,
Ranchi 835215, India

V. Sivakumar

Discipline of Physics,
School of Chemistry and Physics,
University of KwaZulu Natal,
Westville Campus, Private Bag X54001,
Durban 4001, South Africa

1Corresponding author.

Contributed by the Solar Energy Division of ASME for publication in the JOURNAL OF SOLAR ENERGY ENGINEERING: INCLUDING WIND ENERGY AND BUILDING ENERGY CONSERVATION. Manuscript received March 23, 2014; final manuscript received September 1, 2014; published online October 13, 2014. Assoc. Editor: Philippe Blanc.

J. Sol. Energy Eng 137(1), 011015 (Oct 13, 2014) (7 pages) Paper No: SOL-14-1099; doi: 10.1115/1.4028563 History: Received March 23, 2014; Revised September 01, 2014

Models of the diffuse fraction of daily solar radiation (KD) have been developed over India for different seasons (winter, spring/autumn, and summer/monsoon) using the clearness index, also known as atmospheric transmissivity (KT). Measurements of global (RG) and diffuse (RD) solar radiation made at four stations in different climates (Jodhpur—arid, New Delhi—semi-arid, Nagpur—subhumid, and Kolkata—humid) have been used to develop two types of empirical models. The “regional” models cover all climate zones and “local” models are climate specific. On an average, regional models perform better than local models over Indian subtropical regions. An exception is the arid climatic regions where local models exhibits the lowest Akaike's information criterion (AIC) and higher coefficient of determination, R2 (0.8–0.9). The applicability of regional models has been tested over an additional set of 16 stations well distributed in India. In winter, the majority of these stations exhibit R2 > 0.8. In spring/autumn, R2 was highest for Ranchi (R2 = 0.92). In summer/monsoon, 14 stations out of 16 have R2 > 0.8. The regional models perform well in all the seasons over the stations of India except Shillong. In Shillong for winter, spring/autumn, and summer/monsoon bias (R2) are 0.182 (0.06), 0.048 (0.36), and −0.05 (0.30), respectively. It is concluded that regional models of the KD can be applied for all seasons to the Indian subtropics except in higher latitude and mountain areas where errors are high.

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Grahic Jump Location
Fig. 1

Annual variation of the sunset hour angle (ωhs in radian) in Jodhpur, New Delhi, Nagpur, and Kolkata

Grahic Jump Location
Fig. 2

Climatic Pattern of annual variability of transmissivity (KT) and diffuse solar radiation fraction (KD) at four stations (Jodhpur (a), New Delhi (b), Nagpur (c), and Kolkata (d)) for the period 1973–2003. DOY is day of the year.

Grahic Jump Location
Fig. 3

Scatter plots of diffuse solar radiation fraction (KD) and transmissivity (KT) for (a) Jodhpur, (b) New Delhi, (c) Nagpur, and (d) Kolkata for the period of 1973–2003

Grahic Jump Location
Fig. 4

Contour plots for the three seasons winter, spring/autumn, and summer/monsoon for 16 stations for data period June 1998–May 1999, as a function of x, y, and z where x is the latitude, y is the longitude, and z = R2 > 0.6

Grahic Jump Location
Fig. 5

Comparison of means of observed (WObs, S/AObs, and S/MObs) diffuse solar radiation fraction (KD) and KD from regional models (WReg, S/AReg, andS/MReg) over 16 secondary stations of India during winter, spring/autumn, and summer/monsoon




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