2015
DOI: 10.3390/en8077058
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A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine Cycle

Abstract: A mathematical model of hourly solar radiation with weather variability is proposed based on the simple sky model. The model uses a superposition of trigonometric functions with short and long periods. We investigate the effects of the model variables on the clearness (kD) and the probability of persistence (POPD) indices and also evaluate the proposed model for all of the kD-POPD weather classes. A simple solar organic Rankine cycle (SORC) system with thermal storage is simulated using the actual weather cond… Show more

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Cited by 28 publications
(13 citation statements)
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“…Three variables were considered appropriate for the analysis of this study. These variables, global horizontal irradiance (W/m 2 ), diffuse irradiance (W/m 2 ) and temperature ( C o ), have been identified in several studies (Iqbal, 2012;Sung et al, 2015;An et al, 2017;Opálková et al, 2018) as important measures in solar radiation assessments, hence the decision to select them. Modelled data was collated using Meteonorm, a software package that uses trade-restricted algorithms to simulate solar resource data subject to specific settings (Remund et al, 2014).…”
Section: Equipment and Databasementioning
confidence: 99%
“…Three variables were considered appropriate for the analysis of this study. These variables, global horizontal irradiance (W/m 2 ), diffuse irradiance (W/m 2 ) and temperature ( C o ), have been identified in several studies (Iqbal, 2012;Sung et al, 2015;An et al, 2017;Opálková et al, 2018) as important measures in solar radiation assessments, hence the decision to select them. Modelled data was collated using Meteonorm, a software package that uses trade-restricted algorithms to simulate solar resource data subject to specific settings (Remund et al, 2014).…”
Section: Equipment and Databasementioning
confidence: 99%
“…Solar irradiance is modelled here using the work of Sung et al, which was validated against data taken from Anatolia-Rancho Cordova, California [41]. This model allows for both long and short term weather induced variations, see equations (29) and (30).…”
Section: Comments On Turnaround Efficiency and A Case Study Applicatimentioning
confidence: 99%
“…In these equations, I ETI is the maximum extraterrestrial solar irradiation, d n is the day within the year (samplings in mid July are considered here), ψ z is the zenith angle (in degrees), t is a specific time in the day (expressed in hours), t rise is the sunrise time, and t set in the sun set time. The following model parameters are assumed to be representative of California, M = 0.76, a 1 = 0.1, b 1 = 7, c 1 = 1, a 2 = 0.5, b 2 = 40, c 2 = 2, and d n = 180 [41].…”
Section: Comments On Turnaround Efficiency and A Case Study Applicatimentioning
confidence: 99%
“…Sunlight radiation modeling is a trend based on accurate measurement. Measurement and modeling of solar radiation is important for many systems and applications [24,25]. Our sunlight model was formulated by extracting the sunlight radiation values in the paper discussed above [21].…”
Section: Modeling Of Tomato Greenhouse Cultivationmentioning
confidence: 99%