Abstract

Integrals that are of interest in the analysis, design, and optimization of concentrating solar thermal systems (CST), such as the annual optical efficiency of the light collection and concentration (LCC) subsystem, can be accurately computed or estimated in two distinct ways: on the time domain and on the spatial domain. This article explores these two ways, using a case study that is highly representative of the commercial CST systems being deployed worldwide. In the time domain, the computation of these integrals are explored using 1-min, 10-min, and 1-h solar DNI input data and using The Cyprus Institute (CyI)’s High-Performance Computing (HPC) system and an open-source ray tracer, Tonatiuh++, being actively developed at CyI. In the spatial domain, the computation of these integrals is explored using SunPATH, another open-source software tool being actively developed at CyI, in tandem with Tonatiuh++. The comparison between the time and spatial domain approach clearly indicate that the spatial domain approach using SunPATH is dramatically more computationally efficient than the time domain approach. According to the results obtained, at least for the case study analyzed in this article, to compute the annual energy delivered by the LCC subsystem with a relative error less than 0.1%, it is enough to provide SunPATH with 1-h DNI data as input, request from SunPATH the sun position and weights of just 30 points in the celestial sphere, and run Tonatiuh++ to simulate these 30 points using 15 million rays per run. As the test case is highly representative, it is expected that this approach will yield similar results for most CST systems of interest.

Highlights

  • The design of concentrating solar thermal (CST) power system is a complex engineering problem, which requires considerable computational resources

  • Integrals that are of interest in the analysis, design, and optimization of CST systems, such as the annual optical efficiency of the light collection and concentration (LCC) subsystem, can be accurately computed or estimated in two distinct ways: on the time domain and on the spatial domain

  • For the CST test case presented in this article, which is highly representative of the commercial CST systems being deployed worldwide, the computation of these integrals in the time domain was explored using 1-min, 10-min, and 1-h solar Direct Normal Irradiance (DNI) input data and using Cyprus Institute (CyI)’s High-Performance Computing (HPC) and an open-source ray tracer, Tonatiuh++, that is being actively developed at CyI

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Summary

Introduction

The design of concentrating solar thermal (CST) power system is a complex engineering problem, which requires considerable computational resources. The second method is based on the numerical integration on the spatial domain, assisted by the use of the SunPATH program Both ways use Tonatiuh++, which is an open-source C++ Monte Carlo Ray Tracer (MCRT), being actively developed by CyI to estimate the power delivered to the receiver at specific sun positions for specific values of the solar DNI. The article compares the results obtained in the case study and draws very clear conclusions related to the optimal use of SunPATH (doi:10.5281/zenodo.5116526, accessed on 4 June 2021) and Tonatiuh++ (doi:10.5281/zenodo.5116609, accessed on 4 June 2021) to minimize the computational effort required to estimate key annual characteristics of a CST system, and what is the influence of the time step in the accuracy of the annual estimates when one is using the temporal domain integration.

SunPATH Approach to Facilitate Energy Yield Analyses
Interpolation over Sun Path
Integration over Sun Path
Test Case to Explore the Impact of Temporal and Spatial Resolutions
CST Plant Location
Solar DNI Time Series
Heliostat Field Layout
Sun Positions
Energy Estimates on the Temporal Domain
Energy Estimates on the Spatial Domain Using SunPATH
Comparison of Results
Conclusions
Findings
Future Work
Full Text
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