A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine Cycle

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 per...

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Main Authors: Taehong Sung, Sang Youl Yoon, Kyung Chun Kim
Format: Article
Language:English
Published: MDPI AG 2015-07-01
Series:Energies
Subjects:
Online Access:http://www.mdpi.com/1996-1073/8/7/7058
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author Taehong Sung
Sang Youl Yoon
Kyung Chun Kim
author_facet Taehong Sung
Sang Youl Yoon
Kyung Chun Kim
author_sort Taehong Sung
collection DOAJ
description 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 conditions, and then, the results are compared with the simulation results using the proposed model and the simple sky model. The simulation results show that the proposed model provides more accurate system operation characteristics than the simple sky model.
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spelling doaj.art-2341bc4c686c4c9faa2b16631d3c8cba2022-12-22T04:23:25ZengMDPI AGEnergies1996-10732015-07-01877058706910.3390/en8077058en8077058A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine CycleTaehong Sung0Sang Youl Yoon1Kyung Chun Kim2School of Mechanical Engineering, Pusan National University, Busan 609-735, KoreaRolls-Royce and Pusan National University Technology Centre, Pusan National University, Busan 609-735, KoreaSchool of Mechanical Engineering, Pusan National University, Busan 609-735, KoreaA 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 conditions, and then, the results are compared with the simulation results using the proposed model and the simple sky model. The simulation results show that the proposed model provides more accurate system operation characteristics than the simple sky model.http://www.mdpi.com/1996-1073/8/7/7058sky conditionhourly solar radiationsky clearness indexprobability of persistencesolar organic Rankine cycledynamic simulation
spellingShingle Taehong Sung
Sang Youl Yoon
Kyung Chun Kim
A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine Cycle
Energies
sky condition
hourly solar radiation
sky clearness index
probability of persistence
solar organic Rankine cycle
dynamic simulation
title A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine Cycle
title_full A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine Cycle
title_fullStr A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine Cycle
title_full_unstemmed A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine Cycle
title_short A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine Cycle
title_sort mathematical model of hourly solar radiation in varying weather conditions for a dynamic simulation of the solar organic rankine cycle
topic sky condition
hourly solar radiation
sky clearness index
probability of persistence
solar organic Rankine cycle
dynamic simulation
url http://www.mdpi.com/1996-1073/8/7/7058
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