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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2015-07-01
|
Series: | Energies |
Subjects: | |
Online Access: | http://www.mdpi.com/1996-1073/8/7/7058 |
_version_ | 1798005743995060224 |
---|---|
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. |
first_indexed | 2024-04-11T12:43:56Z |
format | Article |
id | doaj.art-2341bc4c686c4c9faa2b16631d3c8cba |
institution | Directory Open Access Journal |
issn | 1996-1073 |
language | English |
last_indexed | 2024-04-11T12:43:56Z |
publishDate | 2015-07-01 |
publisher | MDPI AG |
record_format | Article |
series | Energies |
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 |
work_keys_str_mv | AT taehongsung amathematicalmodelofhourlysolarradiationinvaryingweatherconditionsforadynamicsimulationofthesolarorganicrankinecycle AT sangyoulyoon amathematicalmodelofhourlysolarradiationinvaryingweatherconditionsforadynamicsimulationofthesolarorganicrankinecycle AT kyungchunkim amathematicalmodelofhourlysolarradiationinvaryingweatherconditionsforadynamicsimulationofthesolarorganicrankinecycle AT taehongsung mathematicalmodelofhourlysolarradiationinvaryingweatherconditionsforadynamicsimulationofthesolarorganicrankinecycle AT sangyoulyoon mathematicalmodelofhourlysolarradiationinvaryingweatherconditionsforadynamicsimulationofthesolarorganicrankinecycle AT kyungchunkim mathematicalmodelofhourlysolarradiationinvaryingweatherconditionsforadynamicsimulationofthesolarorganicrankinecycle |