2018
DOI: 10.5194/adgeo-45-139-2018
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A stochastic model for the hourly solar radiation process for application in renewable resources management

Abstract: Abstract. Since the beginning of the 21st century, the scientific community has made huge leaps to exploit renewable energy sources, with solar radiation being one of the most important. However, the variability of solar radiation has a significant impact on solar energy conversion systems, such as in photovoltaic systems, characterized by a fast and nonlinear response to incident solar radiation. The performance prediction of these systems is typically based on hourly or daily data because those are usually a… Show more

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Cited by 15 publications
(9 citation statements)
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“…The hourly global solar irradiance data measured in the Eagle Ford area between 1991-2010 was used to calculate the monthly average hourly clearness index (k t ) values. The index is the ratio of the global solar irradiance on a horizontal surface (I) to the hourly extraterrestrial solar irradiance on a horizontal surface (I o ), as shown in Equation 128, which is considered as a stochastic parameter because it is a function of a period of year, seasons, climatic conditions, and geographic site [88].…”
Section: Resultsmentioning
confidence: 99%
“…The hourly global solar irradiance data measured in the Eagle Ford area between 1991-2010 was used to calculate the monthly average hourly clearness index (k t ) values. The index is the ratio of the global solar irradiance on a horizontal surface (I) to the hourly extraterrestrial solar irradiance on a horizontal surface (I o ), as shown in Equation 128, which is considered as a stochastic parameter because it is a function of a period of year, seasons, climatic conditions, and geographic site [88].…”
Section: Resultsmentioning
confidence: 99%
“…The temporal variability is triggered by the short-term high autocorrelation as well as by the long-term behaviour identified from the time series analysis (Dimitriadis and Koutsoyiannis, 2015) of solar irradiation both over the area of interest and globally (Koudouris et al, 2017(Koudouris et al, , 2018. A proper measure to express the strength of the long-term persistence of a stochastic process is the Hurst parameter, (Hurst, 1951;Koutsoyiannis, 2010). Interestingly, the Hurst parameter for the clearness index over the area of interest is estimated around 0.8 (Koudouris et al, 2017) indi- 1.…”
Section: Discussionmentioning
confidence: 99%
“…For the sake of brevity, six of them are presented here, which are more precise for this type of data. Three of them (Beta, Kumaraswamy (Kuma) and Logit-Normal (LogitN)) are suitable for fitting random variables bounded within [0, 1], which is the typical range of average daily CSI values [13,39]. The other three (Logistic (Logist), Log-Logistic (Log-Log), and Generalized Extreme Value (GEV)) are suitable instead for modeling unbounded random variables; however, they may also be useful to characterize bounded variables such as average daily CSI [40].…”
Section: Pool Of Selected Probability Density Functionsmentioning
confidence: 99%