Gopinathan and Soler model

A new correlation is developed to predict monthly mean daily global radiation on horizontal surfaces for locations with latitudes between 60°N and 70°N. The suggested equation expresses global radiation in terms of per cent possible sunshine.

Global radiationSolar energy

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Initial contribute: 2021-09-08

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Application-focused categoriesIntegrated-perspectiveGlobal scale
Application-focused categoriesIntegrated-perspectiveRegional scale

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English {{currentDetailLanguage}} English

Quoted from:K. K , Gopinathan, and, et al. A sunshine dependent global insolation model for latitudes between 60°N and 70°N[J]. Renewable Energy, 1992.

https://www.sci-hub.ren/10.1016/0960-1481(92)90073-c

A new correlation is developed to predict monthly mean daily global radiation on horizontal surfaces for locations with latitudes between 60°N and 70°N. The suggested equation expresses global radiation in terms of per cent possible sunshine. The applicability of the new correlation is tested by statistical methods and the results are compared with two other well established models, proposed by Rietveld and by Dogniaux and Lemoine. These two models perform poorly at latitudes between 60°N and 70°N, but the new global radiation vs sunshine correlation can be accurately applied to locations in the latitude range 60°N–70°N.

INTRODUCTION

The aim of the present study is to suggest an accurate correlation for estimating monthly mean daily global radiation on a horizontal surface for locations with latitudes in the range 60<°N-70°N. The new model and two other well established models are used to estimate monthly average daily global radiation for latitudes higher than 60°N, and the results are compared by statistical procedures. 

Measured irradiation data are not available for all stations, and it is practically impossible to measure solar radiation for all locations in the world. For places where no measurements exist, a common practice has been to predict them by using appropriate correlations, which are empirically established from measured data at some selected places. These correlations estimate the values of global radiation from the more readily available meteorological, climate logical and geographical parameters, such as sunshine, humidity, temperature, cloud cover, latitude and elevation. The preference for any model depends on the level of accuracy of the predicted data and the simplicity of application. 

Gopinathan and Soler suggested linear equation for locations with latitudes between 60°N and 70°N:
\( 𝐻/𝐻_0 = 0.1538 + 0.7874 𝑆/𝑆_0 , \)
\( 𝐻/𝐻_0 = 0.1961 + 0.7212 𝑆/𝑆_0 . \)
 

The model is found to be very accurate for stations in the mentioned latitude range. The well established models by Rietveld and Dogniaux and Lemoine, developed using data for stations with latitudes up to 60°N, perform poorly for the range 60°N-70°N. The proposed correlation is developed using values of the declination calculated by Spencer's formula, because they give better correlation coefficients for Angstrom's correlation. 

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K. K. GOPINATHAN, ALFONSO SOLER (2021). Gopinathan and Soler model, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/2ba84691-5e8d-4be5-895c-1c0e8eaefc6f
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Initial contribute : 2021-09-08

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