{"title":"The New Solar Radiation Estimation Models Using Different Weight Functions in the Moving Least Squares Approach","authors":"Ayse Gul Kaplan","doi":"10.1007/s40010-024-00880-0","DOIUrl":null,"url":null,"abstract":"<div><p>In this study, moving least squares approach (MLSA) is used for solar radiation (SR) estimation in the selected region. While developing new models with the MLSA, three different weight functions which are Gaussian, cubic spline and Wendland are used. The compatibility of some modified Angström-type equations were tested to estimate of monthly average daily global SR at selected region. The most suitable equation was found by comparing with the values measured and obtained from the equation. In this paper, six different statistical error analysis tests are used in order to compare the performance of new proposed models. According to the results obtained in the selected region, the weight function for which the best performance values are obtained is the cubic spline weight function.</p></div>","PeriodicalId":744,"journal":{"name":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40010-024-00880-0.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the National Academy of Sciences, India Section A: Physical Sciences","FirstCategoryId":"103","ListUrlMain":"https://link.springer.com/article/10.1007/s40010-024-00880-0","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
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Abstract
In this study, moving least squares approach (MLSA) is used for solar radiation (SR) estimation in the selected region. While developing new models with the MLSA, three different weight functions which are Gaussian, cubic spline and Wendland are used. The compatibility of some modified Angström-type equations were tested to estimate of monthly average daily global SR at selected region. The most suitable equation was found by comparing with the values measured and obtained from the equation. In this paper, six different statistical error analysis tests are used in order to compare the performance of new proposed models. According to the results obtained in the selected region, the weight function for which the best performance values are obtained is the cubic spline weight function.
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