Lewis model

In the absence of a network of stations with reliable solar radiation measuring instruments, estimation of this parameter could be made from easily obtained meteorological data.

Solar energyGlobal solar radiation model

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Quoted from:Gladius Lewis,Estimates of irradiance over Zimbabwe,Solar Energy,Volume 31, Issue 6,1983,Pages 609-612,ISSN 0038-092X,

https://doi.org/10.1016/0038-092X(83)90177-9.

INTRODUCTION

There has developed one alternative to the actual measurement of the irradiance incident on a horizonal surface in a given location. This is its estimation from commonly-observed and/or easily obtained meteorological and geographical parameters. This technique is of particular interest to less developed countries where there is a dearth of solar radiation measuring instruments but with a number of stations with long records of surface and upper surface climatological data. Some of the parameters that have been used in this approach are sunshine hours duration declination angle of the sun and latitude of the location sunshine hours duration and relative humidity sunshine hours duration, rain days and a latitude/location factor sunshine hours, maximum air temperature, relative humidity and a latitude/location factor and cloud cover and sunshine hours.

This Note is a report of the results of a regression analysis of measured values of monthly mean daily irradiance, Q, with monthly mean daily sunshine hours duration, n and monthly mean daily relative humidity, R. Further, the Angstrom-like relation between the monthly mean daily irradiance at the top of the atmosphere, Qo, the monthly mean day-length, N, and Q and n is also determined. The data used in these analyses are for Harare, Zimbabwe Oat 17 ° 50'S; alt. 1471 m).

Methods

Lewis reported that global solar radiation on a horizontal surface can be calculated by the following equations:
\( 𝐻=𝑎𝑅𝐻^𝑏;log⁡𝐻=𝑎+blog⁡𝑅H \)
\( 𝐻=𝑎𝑆^𝑏 𝑅𝐻^𝑐;log⁡𝐻=𝑎+𝑏log⁡𝑆+𝑐log⁡𝑅𝐻 \)
\( 𝐻=𝑎exp⁡(𝑏𝑆);ln⁡𝐻=𝑎+𝑏𝑆 \)
\( 𝐻=𝑎exp⁡(𝑏𝑅𝐻);ln⁡𝐻=𝑎+𝑏𝑅𝐻 \)
\( 𝐻=𝑎exp⁡𝑏(𝑆−𝑅𝐻);ln⁡𝐻=𝑎+𝑏(𝑆−𝑅𝐻) \)

CONCLUSION

In the absence of a network of stations with reliable solar radiation measuring instruments, estimation of this parameter could be made from easily obtained meteorological data. In Harare, Zimbabwe, the only empirical relation that can be used, with a large measure of confidence, (applicable to those relations with a correlation coefficient greater than 0.823, which is the critical value of the coefficient for a case involving 10 degrees of freedom and 0. 1 per cent significance level) is Q = Qa [0.32 + 0.46S] MJ/m 2 day. With more data for measured Q becoming available in the future, empirical relations that are applicable to specific geographical zones of Zimbabwe would be developed. Until then, the above relation can be used to obtain estimates of Q for individual cities and towns. 

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GLADIUS LEWIS (2021). Lewis model, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/db144d7c-8fe9-46ee-84f3-df76272a3fd0
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