Jain model

The Angstrom equation using the computed values of the regression parameters yields estimates of the global irradiation that are, on average, within ±4% of the measured values for most of the locations. More simply, a single equation using the mean values of the regression parameters also provides reasonably accurate estimates of the global irradiation over the Italian location.

Solar energyRegression coeffificient

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Application-focused categoriesNatural-perspectiveAtmospheric regions
Application-focused categoriesIntegrated-perspectiveGlobal scale

Detailed Description

English {{currentDetailLanguage}} English

Quoted from:[1] Jain P C . Global irradiation estimation for Italian locations[J]. Solar & Wind Technology, 1986.

https://www.sci-hub.ren/10.1016/0741-983x(86)90013-5

Abstract

The Angstrom equation has been fitted using the least-squares method to the monthly average daily global irradiation and the sunshine duration data of 31 Italian locations for the duration 1965--1974. Three more linear equations, obtained by : (i) incorporating the effect of the multiple reflections between the Earth's surface and the atmosphere, (ii) incorporating the effect of not burning of the sunshine recorder chart when the elevation of the sun is less than 5" and (iii) incorporating both the above effects simultaneously, have also each been fitted to the same data. Good correlation with correlation coefficients around 0.9 or more are obtained for most of the locations with all four equations. Substantial spatial scatter is obtained in the values of the regression parameters. The use of any of the three latter equations does not result in any advantage over that of the simpler Angstrom equation: it neither results in a decrease in the spatial scatter in the values of the regression parameters nor does it yield better correlation.

The Angstrom equation using the computed values of the regression parameters yields estimates of the global irradiation that are, on average, within ±4% of the measured values for most of the locations. More simply, a single equation using the mean values of the regression parameters also provides reasonably accurate estimates of the global irradiation over the Italian location.

Introduction

A reasonable estimate of the global irradiation at a place is necessary for most of the applications of solar energy. As such measurements are available only for a limited number of places, a substantial amount of work has been done towards estimating it from theoretical considerations. In one of the approaches, use is made of the empirically known relations involving the more readily available meteorological parameters such as the sunshine duration, the relative humidity and the temperature. An account of the various relations proposed is given by Sayigh.

Extensive linear regression analysis of the global irradiation and the sunshine duration data for the 31 Italian locations fi~r the 10-year duration 1965-1974 shows that the technique of applying the corrections for (i) multiple reflections between the earth's surface and the atmosphere and/or (ii) not burning of the sunshine recorder chart when the elevation of the sun is less than 5', does not offer any advantage over the Angstrom equation in its simpler form,. It neither decreases the spatial scatter among the values of the regression parameters nor does it provide better correlation between the sunshine duration and the global irradiation. The Angstrom equation is found to be applicable to most of the Italian locations with good correlation. It can be conveniently used to provide fairly accurate estimates of the global irradiation for Italian locations.

Jain has proposed the following regression constants based on Angstrom-type correlation using the average daily global solar radiation and the sunshine data of 31 Italian locations:
$$𝐻/𝐻_0 = 0.177 + 0.692 𝑆/𝑆_0 .$$

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P. C. JAIN (2021). Jain model, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/16c0d371-852c-4cd3-b307-f4a56d0601c4

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2021-09-22
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