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Energies 2015, 8(7), 7058-7069; doi:10.3390/en8077058

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

1
School of Mechanical Engineering, Pusan National University, Busan 609-735, Korea
2
Rolls-Royce and Pusan National University Technology Centre, Pusan National University, Busan 609-735, Korea
*
Authors to whom correspondence should be addressed.
Academic Editor: Mark Deinert
Received: 7 May 2015 / Revised: 2 July 2015 / Accepted: 6 July 2015 / Published: 13 July 2015
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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 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. View Full-Text
Keywords: sky condition; hourly solar radiation; sky clearness index; probability of persistence; solar organic Rankine cycle; dynamic simulation sky condition; hourly solar radiation; sky clearness index; probability of persistence; solar organic Rankine cycle; dynamic simulation
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Sung, T.; Yoon, S.Y.; Kim, K.C. A Mathematical Model of Hourly Solar Radiation in Varying Weather Conditions for a Dynamic Simulation of the Solar Organic Rankine Cycle. Energies 2015, 8, 7058-7069.

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