Quasi-Monte Carlo ray tracing algorithm for radiative flux distribution simulation

Duan, Xiaoyue; He, Caitou; Lin, Xiaoxia; Zhao, Yuhong; Feng, Jieqing

doi:10.1016/j.solener.2020.09.061

Cited by 21 publications

(9 citation statements)

References 28 publications

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“…The modelling of the QMCRT involves two primary steps: preprocessing, ray tracing (Duan et al, 2020). The QMCRT model is represented as follow:…”

Section: Qmcrt Modelmentioning

confidence: 99%

“…The CDF is sampled evenly across the range from 0 to 1, with 𝑢 representing the variable used for sampling (Duan et al, 2020). When 𝜃 is larger than 4.65mrad, it can be calculated using formulas below:…”

Section: Preprocessingmentioning

confidence: 99%

“…Then storing them in the MHNP and SSP (Duan et al, 2020). Finally, tessellating each micro heliostats into heliostat and find random starting index array (RSIA) to aid selection of directions from the Sun Shape Pool (SSP) and micro heliostat Normal Pool MHNP (Duan et al, 2020). The SSP and MHNP are random variables sets of the identical size.…”

Section: Preprocessingmentioning

confidence: 99%

“…It is QMCRT algorithm. QMCRT algorithm is firstly proposed by Duan et al (2020) based on MCRT algorithm, aiming at improving the efficiency and accuracy of MCRT. MCRT is computational method that can simulate light propagation and reflection in the real world by randomly sampling light paths and tracing them (Jensen et al, 2003).…”

Section: Qmcrt Modelmentioning

confidence: 99%

“…Against this backdrop, Duan et al (2020) attempted to solve the contradiction between calculation accuracy and efficiency using a GPU-oriented ray-tracing simulation technique, specifically QMCRT. It can avoid many unnecessary calculations through preprocessing, improve the calculation efficiency and accuracy of optical efficiency with a relatively small amount of data.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical Modelling and Optimizing Design of Heliostat Field

Cheng,

Zheng

2024

Preprint

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The heliostat field is a form of solar thermal power plant, and establishing a heliostat field is of great significance for reducing carbon emissions. This paper focuses on the mathematical modelling and optimization design problem of the heliostat field. For three different design scenarios, firstly, based on the data provided by the China Undergraduate Mathematical Contest in Modeling 2023, a geometric optical efficiency model is proposed to determine the annual average optical efficiency and output thermal power under specific heliostat field design parameters. Secondly, aiming at the optimal design parameters of the solar furnace field under the condition of rated annual average output thermal power is 60$\text{M}\text{W}$, Particle Swarm Optimization (PSO) combing with efficiency model are utilized to determine the optimal design parameters of the heliostat field. Finally, this paper uses Quasi -Monte Carlo ray tracing (QMCRT) model to perform simulation, exploring how to obtain the optimal design parameters of the heliostat field with the goals of maximizing the output thermal power and ensuring high efficiency. On this basis, the influence of normal disturbances on the annual average output thermal power is further explored.

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“…The modelling of the QMCRT involves two primary steps: preprocessing, ray tracing (Duan et al, 2020). The QMCRT model is represented as follow:…”

Section: Qmcrt Modelmentioning

confidence: 99%

Section: Preprocessingmentioning

confidence: 99%

Section: Preprocessingmentioning

confidence: 99%

Section: Qmcrt Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Mathematical Modelling and Optimizing Design of Heliostat Field

Cheng,

Zheng

2024

Preprint

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Mathematical modelling and optimizing design of heliostat field

Cheng,

Zheng

2024

Multiscale and Multidiscip. Model. Exp. and Des.

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The heliostat field is a form of solar thermal power plant, The heliostat field is a crucial component of solar thermal power plants and establishing a heliostat field is of great significance for reducing carbon emissions. and is of great significance in reducing carbon emissions This paper focuses on the mathematical modeling and optimization design problem of the heliostat field. For three different design scenarios, firstly, based on the data provided by the China Undergraduate Mathematical Contest in Modeling 2023, a geometric optical efficiency model is proposed to determine the annual average optical efficiency and output thermal power under specific heliostat field design parameters. Secondly, aiming at the optimal design parameters of the solar furnace field under the condition of rated annual average output thermal power is 60 $$\text{MW}$$ MW , Particle Swarm Optimization (PSO) combing with efficiency model is utilized to determine the optimal design parameters of the heliostat field. Finally, this paper uses Quasi-Monte Carlo ray tracing (QMCRT) model to perform simulations, exploring how to obtain the optimal design parameters of the heliostat field with the goals of maximizing the output thermal power and ensuring high efficiency. Furthermore, the influence of normal disturbances on the annual average annual average thermal output power is investigated.

show abstract