Comprehensive mathematical model and efficient numerical analysis of the design parameters of the parabolic trough receiver

Knysh, L.I.

doi:10.1016/j.ijthermalsci.2020.106777

Cited by 14 publications

(5 citation statements)

References 54 publications

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“…Для врахування ефекту розфокусування розглянуто систему кутів між напрямком на Сонце та фокусною лінією концентратора, які й характеризують розфокусування. Для визначення кутів розфокусування необхідно встановити зв'язок між , , а також вектором-нормаллю концентратора у точці падіння сонячного пучка [13]. Зв'язок між обраними кутами описується на основі закону дзеркального відображення виду [14]:…”

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Моделювання Енергетичних Втрат При Розфокусуванні Сонячних Параболоїдних Концентраторів

Masalykin¹,

Knysh²

2022

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Модифіковано математичну модель для розрахунку щільності теплового потоку, що надходить від параболоїдного концентратора на теплоприймач. У моделі враховано помилку розфокусування, що виникає при механічних пошкодженнях або програмних неточностях системи стеження за Сонцем. Досліджено вплив помилки розфокусування на щільність теплового потоку і розмір фокальної плями на поверхні теплоприймача. Визначено критичну величину кута розфокусування, при якій щільність теплового потоку стає мінімальною. Змодельовано і порівняно значення теплових потоків для математично ідеального та реального концентраторів з абераціями поверхні й помилкою розфокусування. Розраховано і порівняно середню щільність теплового потоку для різних комбінацій помилки розфокусування й аберацій поверхні у системі.

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Моделювання Енергетичних Втрат При Розфокусуванні Сонячних Параболоїдних Концентраторів

Masalykin¹,

Knysh²

2022

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“…In this paper, the coefficient K was introduced, which shows the degree of aberrations of the concentrator surface, which cause the deviation of the reflected beam of rays from its ideal direction. The root-mean-square deviation of the angular errors σ γ C was calculated in fractions of the magnitude of the opening angle of the Sun σ ψ γ C K S = [20,21]. Stu dies [1] were continued in work [2], where flat angles μ and λ were introduced, which characterize the deviation of the beam of rays reflected from the concentrator, which occurs in the process of defocusing the concentrator relative to the direction to the Sun.…”

Section: Verification Of the Results Obtained Using The Monte Carlo M...mentioning

confidence: 99%

Construction of a mathematical model and approximate analytical solution to the problem of energy exchange in the «sun ‒ paraboloid concentrator ‒ heat receiver» system

Masalykin

Knysh

2023

EEJET

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The object of research is the processes of radiation transfer in the «Sun – paraboloid concentrator – heat receiver» system. There are many factors that affect the value of the density of the concentrated heat flux that reaches the surface of the heat sink. The study of the influence of these factors on the overall energy indicators of the system is an important scientific problem that was solved in this work. To solve this problem, a generalized mathematical model of the radiation transfer process in the «Sun – concentrator – heat receiver» system was built, which was adapted for a paraboloid concentrator. The constructed mathematical model was solved by an approximate analytical method, which took into account the integral and discrete parameters of the system, as well as the probability distribution of aberrations of the concentrator surface, its defocusing, and other random influences. The dimensionless density of the heat flux on the surface of the heat sink for a mathematically ideal and real paraboloid concentrator of a fixed geometry was determined. Using the found analytical solution, the results obtained on the basis of the Monte Carlo method were verified. Analytical and numerical results for a mathematically ideal and a real concentrator with minor aberrations and a clear orientation to the Sun agree within the permissible error. For a real concentrator with defocusing, a deviation of numerical data from analytical data was observed. The presence of deviations is associated with a simplification in the interpretation of the analytical probability distribution, in which it is impossible to take into account each influence separately. The obtained analytical results will be useful in the development of real power plants and can be used practically at the stage of checking the adequacy of the system model

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“…The result was the development of a single criteria dependency for describing temperature fields for any receiver geometry and any heat transfer fluid type. [9]. CFD simulation was used in the thermal performance of the PTC collector's receiver tube in the Saman S and Behzad V study [10,11].…”

Section: Current Status Of Related Researchmentioning

confidence: 99%

Engineering optics and thermodynamics design of parabolic trough solar collector

Yin,

Sun,

Zhang

et al. 2024

J. Phys.: Conf. Ser.

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The development and design of parabolic trough solar thermal collectors (PTC) need to comprehensively consider the influence of optic, thermodynamic, layout, and other factors. The optics and thermodynamic analysis of PTC with different configurations was carried out, and the influence of layout on heat collection was studied. In the case of determined PTC aperture size, the distribution trend of solar irradiation flux density of different HCE diameters is the same, and the peak value of solar irradiation flux density is higher when the concentration ratio is larger. For the PTC with the same concentration ratio, with the incidence angle increase, the intercept rate and optical efficiency of the PTC decrease, the thermal energy loss rate increases, and the thermal efficiency decreases. Under the same incidence angle, with the increase of concentration ratio, the PTC’s intercept rate and optical efficiency decrease gradually, and the average efficiency of the PTC increases first and then decreases. In the process of PTC design and selection, considering the concentration ratio, latitude, and cost factors, the aperture size of 8.2 m and the HCE of the inner diameter of 90 mm can be used as the recommended configuration scheme for subsequent HCE development.

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Comprehensive mathematical model and efficient numerical analysis of the design parameters of the parabolic trough receiver

Cited by 14 publications

References 54 publications

Моделювання Енергетичних Втрат При Розфокусуванні Сонячних Параболоїдних Концентраторів

Моделювання Енергетичних Втрат При Розфокусуванні Сонячних Параболоїдних Концентраторів

Construction of a mathematical model and approximate analytical solution to the problem of energy exchange in the «sun ‒ paraboloid concentrator ‒ heat receiver» system

Engineering optics and thermodynamics design of parabolic trough solar collector

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