RETRACTED ARTICLE: Horizontal global solar radiation estimation using hybrid SVM-firefly and SVM-wavelet algorithms: a c

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Horizontal global solar radiation estimation using hybrid SVM-firefly and SVM-wavelet algorithms: a case study Kasra Mohammadi1 • Shahaboddin Shamshirband2 • Amir Seyed Danesh3 • Mazdak Zamani4 • Ch. Sudheer5

Received: 13 December 2014 / Accepted: 11 October 2015 Ó Springer Science+Business Media Dordrecht 2015

Abstract Nowadays, investigations are being performed to identify proper approaches for prediction of solar radiation in the absence of measured data. In this context, application of hybrid techniques has attracted many attentions since it offers some advantages by utilizing the specific nature of each technique to achieve more preciseness. This study aims at assessing the suitability of two hybrid approaches to predict monthly mean daily horizontal global solar radiation. For this aim, two hybrid approaches by integrating support vector machine (SVM) with firefly algorithm (FFA) and wavelet transform (WT) algorithm named, respectively, SVM-FFA and SVM-WT are developed. Then two different SVM-FFA and SVM-WT models are established by considering different meteorological parameters: (1) relative sunshine duration and (2) relative sunshine duration, air temperature difference, average air temperature and relative humidity. The results indicate that hybridizing the SVM with FFA and WT algorithms would be promising as both SVMFFA and SVM-WT approaches show higher performance than single SVM. Also, model (2) of each hybrid approach provides more accuracy. Furthermore, the statistical results reveal the superiority of SVM-WT over SVM-FFA in terms of predictions accuracy.

& Shahaboddin Shamshirband [email protected] Kasra Mohammadi [email protected] 1

Department of Mechanical and Industrial Engineering, University of Massachusetts, Amherst, MA 01003, USA

2

Department of Computer System and Technology, Faculty of Computer Science and Information Technology, University of Malaya, Kuala Lumpur, Malaysia

3

Department of Software Engineering, Faculty of Computer Science and Information Technology, University of Malaya, 50603 Kuala Lumpur, Malaysia

4

Department of Computer Science, Kean University, Union, NJ 07083, USA

5

Department of Civil and Environmental Engineering, ITM University, Gurugaon, Haryana 122017, India

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Nat Hazards

Keywords Horizontal global solar radiation  Support vector machine  Firefly algorithm  Wavelet transform algorithm  Estimation  Meteorological parameters

1 Introduction In today’s world, renewable energy sector is growing quickly across the globe offering many benefits worldwide. Renewable energy harnessing is an appropriate way to reduce the dependency on fossil fuels and mitigate the greenhouse gas emissions. Therefore, countries are striving toward attaining set goals by promoting the utilization of renewable energy for a vast number of applications. Solar energy is regarded as most attractive renewable energy source owing to its broad availability and feasibility of exploitation in many regions across the globe. At present, the solar energy-related technologi